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7/25/2019 Kashima, Woolcock, & Kashima 2000
http://slidepdf.com/reader/full/kashima-woolcock-kashima-2000 1/29
Psychological Review Copyright 2000 by the American Psychological Association, Inc.
2000, Vol. 107, No. 4, 914-942 0033-295X/00/ 5.00 DOI : 10.1037//0033-295X.107.4.914
G roup Impressions as D yna m ic Configurations The Tensor Product M odel
of G roup Im press ion Formation and Change
Yoshihisa Kashima and Jodie Woolcock
L a T r o b e U n i v e r s i t y
Emiko S Kashima
S w i n b u r n e U n i v e r s it y o f T e c h n o l o g y
Group impressions are dynamic configurations. The tensor product model (TPM), a connectionist model
of memory and learning, is used to describe the process of group impression formation and change,
emphasizing the structured and contextualized nature of group impressions and the dynamic evolu tion of
group impressions over time. TPM is first shown to be consistent with algebraic models of social
judg men t (the weighted averaging model; N. Anderson, 198 1) and exemplar-based social category
learning (the context m odel; E. R . Smith & M . A. 7_Arate, 1992), providing a theoretical reduction of the
algebraic models to the present connectionist framework. TPM is then shown to describe a common
process that underlies both formation and change of group impressions despite the often-made assump -
tion that they constitute different psychological processes. In particular, various time-dependent prop-
erties of both group imp ression formation (e.g., time variability, response dependency, and order effects
in impression judgments) and change (e.g., stereotype change and group accentuation) are explained,
demonstrating a hidden u nity beneath the diverse array of empirical findings. Implications of the model
for conceptualizing stereotype formation and change are discussed.
E v e r s i n c e A s c h ' s ( 1 9 4 6 ) g r o u n d - b r e a k i n g r e s e a r c h , p e r s o n
i m p r e s s i o n f o r m a t i o n h a s b e e n a m a j o r t o p i c o f i n q u i r y i n s o c i a l
p s y c h o l o g y f o r m o r e t h a n h a l f a c e n t u r y . D e s p i t e A s c h ' s ( 1 9 5 2 )
i n t e re s t , t h e to p i c o f g r o u p i m p r e s s i o n f o r m a t i o n a n d c h a n g e b e g a n
t o a t t r a c t e m p i r i c a l a t t e n t i o n r e l a t i v e l y r e c e n t l y ( e .g . , H a m i l t o n &
G i f f o r d , 1 9 7 6 ) . B y r e s e a r c h o n g r o u p i m p r e s s i o n , w e m e a n a c l a ss
o f s t u d i e s i n w h i c h v a r i o u s i n f o r m a t i o n a b o u t i n d i v i d u a l m e m b e r s
o f s o c i a l g r o u p s i s p r e s e n t e d , a n d t h e e f f e c t s o f t h e i n f o r m a t i o n o n
p e o p l e ' s j u d g m e n t s a n d e v a l u a t i o n s a b o u t th e g r o u p s a r e e x a m -
i n e d . W h e n p a r t i c ip a n t s h a v e l i t t l e p r i o r i n f o r m a t i o n a b o u t a t a r g e t
g r o u p , t h i s t y p e o f r e se a r c h e x a m i n e s t h e f o r m a t i o n o f g r o u p
i m p r e s s i o n s . B y c o n t r a s t , a g r o u p i m p r e s s i o n c h a n g e o c c u r s w h e n
p a r t i c i p a n t s ' i m p r e s s i o n s a b o u t a t a r g e t g r o u p , a b o u t w h i c h p a r -
t i c i p a n t s h a v e s o m e p r i o r e x p e c t a n c i e s ( e . g . , s t e r e o t y p e s ) , e v o l v e
a s a r e s u l t o f t h e i n f o r m a t i o n g i v e n .
T h e r e s e a r c h o n g r o u p i m p r e s s i o n f o r m a t i o n a n d c h a n g e n o w
c o n s t i t u te s a s u b s t a n t i al l i t e r a t u re i n w h i c h a n u m b e r o f r o b u s t
e m p i r i c a l p h e n o m e n a h a v e b e e n i d e n t if i e d ( f or r e v i e w s , s e e H a m -
i l t o n & S h e r m a n , 1 9 9 4 ; H a m i l t o n & S h e r m a n , 1 9 9 6 ; H i l t o n & y o n
Yoshihisa Kashima, School of Psychological Science, La Trobe Uni-
versity, Melbourne, Victoria, Australia; Jodie Woolcock, School o f Math-
ematical Science, La Trobe University; Emik o S. Kashima, Division of
Psychology, Sw inburne University of Technology, Melbourne, V ictoria,
Australia.
This research was supported by an Australian Research Council grant.
We acknowledge Paul Polidori for his programming and Paul Clifford for
conducting the experiment reported here. We thank Craig McGarty and
Michael Platow for their comments on earlier versions of the article.
Correspondence concerning this article should be addressed to Yoshi-
hisa Kashima, who is now at the Department of Psychology, University of
Melbourne, V ictoria 3 01 0, Australia. Electronic ma ll may be sent to
y.kashima @ psych.unimelb.edu.au.
914
H i p p e l , 1 9 9 6 ) . H o w e v e r , t h e o r e t i c a l u n d e r s t a n d i n g o f th e p h e n o m -
e n a h a s b e e n h a m p e r e d b y t h e l a c k o f a c o h e r e n t t h e o r e t i c a l
f r a m e w o r k t h a t d e s c r i b e s t h e p r o c e s s i n g o f i n f o r m a t i o n a b o u t
s o c i a l g r o u p s . H i l t o n a n d v o n H i p p e l ( 1 9 9 6 ) l a m e n t e d , ' ~ ' h e r e h a s
b e e n l i t t l e e f f o r t d i r e c t e d a t s p e c i f y i n g t h e d e t a i l s o f v a r i o u s
r e p r e s e n t a t io n a l m o d e l s ( p . 2 4 4 ) . M a n y e m p i r i c a l p h e n o m e n a
p o i n t t o t h e d y n a m i c c h a r a c t e r o f g r o u p i m p r e s s i o n s , t h a t i s , t h e
e v e r - e v o l v i n g a n d c o n s t a n t l y c h a n g i n g n a t u r e o f g r o u p i m p r e s -
s i o n s . T h e o r i e s o f g r o u p i m p r e s s i o n s , h o w e v e r , f a l l s h o r t o f c ap -
t u r i n g t h i s d y n a m i s m .
O u r m a i n o b j e c t i v e h e r e i s t o p r e s e n t a n e x p l i c i t t h e o r y o f g r o u p
i m p r e s s i o n s t h a t c a n s h e d l i g h t o n t h e i r d y n a m i c s . W e p r o p o s e a
t h e o r y o f g r o u p i m p r e s s i o n f o r m a t i o n a n d c h a n g e b a s e d o n a
d i s t r ib u t e d r e p r e s e n t a t i o n a l s y s t e m c a l l e d t h e t e n s o r p r o d u c t m o d e l
( T P M ) ( H u m p h r e y s , B a i n , & P i k e , 1 9 8 9 ; K a s h i m a , 1 9 9 9 ; K a s h i m a
& K e r e k e s , 1 9 9 4 ; K a s h i m a , W o o l c o c k , & K i n g , 1 9 9 8 ; P i k e , 1 9 8 4 ).
W e t h e n s h o w t h a t t h i s t h e o r y c a n p r o v i d e a n i n t e g r a t i v e f r a m e -
w o r k i n w h i c h t o e x p l a i n d i v e r s e t i m e - d e p e n d e n t p r o p e r t i e s o f
g r o u p i m p r e s s i o n f o r m a t i o n a n d c h a n g e . I t i s o f t e n a s s u m e d t h a t
t h e f o r m a t i o n a n d c h a n g e o f i m p r e s s i o n s a r e t w o s e p a r a t e p h e -
n o m e n a : T h a t i s , im p r e s s i o n s , o n c e f o r m e d , b e c o m e a s ta b l e e n t i ty
( e .g . , s c h e m a ) , a n d c h a n g e p r o c e s s e s i n v o l v e s o m e t h i n g d i f f e re n t .
C o n t r a r y t o t h i s , w e s h o w t h a t t h e p r o c e s s u n d e r l y i n g b o t h f o r m a -
t i o n a n d c h a n g e o f g r o u p i m p r e s s i o n s c o u l d b e a s i n g l e , l e a r n i n g
p r o c e s s d e s c r i b e d b y t h e T P M .
A n o t h e r o b j e c t i v e is a t h e o r e t i c a l r e d u c t i o n o f a l g e b r a ic m o d e l s
o f s o c i a l j u d g m e n t t o t h e T P M . C o n n e c t i o n i st m o d e l s a r e o f t en
s a i d t o d e s c r i b e i n f o r m a t i o n p r o c e s s i n g a t a m i c r o c o g n i t i v e l e v e l .
J u s t a s t h e m a c r o l e v e l t h e r m o d y n a m i c d e s c r i p t i o n m a y b e r e d u c e d
t o m i c r o l e v e l s t a t i s t i c a l m e c h a n i c s ( N a g e l , 1 9 6 1 ) , w e s e e k t o
r e d u c e m a c r o l e v e l c o g n i t i v e t h e o r i e s t o a m i c r o l e v e l c o n n e c t i o n i s t
d e s c r i p t i o n . S m o l e n s k y ( 1 9 8 8 ) s u g g e s t e d t h a t c o n n e c t i o n i s m
w o u l d p r o v i d e a t h e o r e t i c a l r e d u c t i o n o f s y m b o l p r o c e s s i n g t h e o -
7/25/2019 Kashima, Woolcock, & Kashima 2000
http://slidepdf.com/reader/full/kashima-woolcock-kashima-2000 2/29
G R O U P I M P RE S S IO N S A S D Y N A M I C C O N F I G U R A T I O N S 9 1 5
t i e s t o a s u b s y m b o l i c p a r a d i g m ; w e b e l i e v e o u r m o d e l p r o v i d e s a
t h e o r e t i c a l r e d u c t i o n o f a l g e b r a i c m o d e l s t o a d i s t r i b u t ed r e p r e s e n -
t a t i o n a l s y s t e m . S o c i a l p s y c h o l o g i s t s o f t e n s e e k a t h e o r y r e p l a c e -
m e n t , i n w h i c h a n o l d t h e o r y i s f a l s i f i e d a n d r e p l a c e d b y a n e w
t h e o r y . H o w e v e r , i n a th e o r y r e d u c t i o n , a n e w t h e o r y i n t e g r a t e s o l d
t h e o r i e s w i t h l e s s e r g e n e r a l i t y w i t h i n a m o r e g e n e r a l f r a m e w o r k .
W e b e l i e v e t h e r e a r e a d v a n t a g e s o f t h e o r y r e d u c t i o n i n s o c i a l
p s y c h o l o g y .
G r o u p I m p r e s si o n a s D y n a m i c C o n f i g u r a t i o n
O u r i m p r e s s i o n s a b o u t a s o c i a l g r o u p e v o l v e o v e r t i m e . A s w e
l e a r n m o r e a b o u t t h e g r o u p a n d i t s m e m b e r s , o u r i m p r e s s i o n s
b e c o m e m o r e e l a b o r a t e a n d c o m p l e x . T h i s i n t u i t i o n a b o u t t h e
d y n a m i c n a t u re o f g r o u p i m p r e s s io n w a s e x p r e s s ed b y A s c h ( 1 9 52 ,
p p . 2 3 4 - 2 3 5 ) n e a r l y h a l f a c e n t u r y a g o :
Our [initial] impressions o f groups are often global, corresponding to
particularly blunt central qualities . . . . Simplified impressions are a
first step toward understanding the surroundings and toward estab-
lishing clear, meaningful views . . . When conditions permit, initial
impressions are corrected and becom e more articulated in the light of
new experiences.
A s c h ' s e m p h a s i s o n t h e d y n a m i c s o f s o c i al p s y c h o l o g i c a l p r o ce s s
p e r m e a t e s h i s 1 9 5 2 t e x t b o o k . T h e p r o c e s s o f im p r e s s i o n f o r m a -
t i o n , w h e t h e r r e g a r d i n g a g r o u p o r a p e r s o n , i s n o e x c e p t i o n J
A s c h ' s r e p u d i a t i o n o f e l e m e n t a r i s m a n d t h e o r e t i c a l a f f i l ia t i o n
w i t h t h e G e s t a l t t ra d i t i o n a r e a p p a r e n t e v e n i n t h i s s h o r t p a s s a g e o n
g r o u p i m p r e s s i o n f o r m a t i o n w i t h h i s a l l u s i o n t o " m e a n i n g " a n d
a r t i c u l a t i o n . T o h i s o w n q u e s t i o n o f " I s t h e i m p r e s s i o n o f a g r o u p
o t h e r t h a n t h e s u m o f i m p r e s s i o n s o f s e p a r a t e i n d i v i d u a l s ? " ( p .
2 2 2 ) , A s c h r e s p o n d e d , " T h e r e a r e g r o u p p r o p e r t i e s t h a t a r e t h e
m o d e o f i n t e r a c t i o n b e t w e e n t h e m e m b e r s . T h e s e a r e n e i t h e r
i d e n t i c a l w i t h p r o p e r t ie s o f t h e i n d i v i d u a l m e m b e r s n o r w i t h
p r o p e r t i e s t h a t e x i s t i n s o m e w a y b e h i n d i n d i v i d u a l s " ( p . 2 2 6 ) .
G r o u p i m p r e s s io n w a s t o b e u n d e r s to o d a s a n o r g a n i z ed w h o l e . T o
A s c h , " i m p r e s s i o n s " w e r e m e n t a l r e p r e s e n t a t i o n s t h a t a r e b o t h
d y n a m i c a n d m e a n i n g f u l l y s t r u c t u r e d o r , p u t s i m p l y , d y n a m i c
c o n f i g u r a t i o n s .
L i n v i l l e , S a l o v e y , a n d F i s c h e r ( 1 9 8 6 ; f o r s i m i l a r v i e w s , s e e , e .g . ,
B r e w e r , D u l l , & L u i , 1 9 8 1 ; T a y l o r , 9 8 1 ; R . W e b e r & C r o c k e r ,
1 9 8 3 ) g a v e a m o r e c o n t e m p o r a r y e x p r e s s i o n o f a s im i l a r l y d y -
n a m i c v i e w o f g r o u p i m p r e s s io n f o r m a ti o n .
Social categories ev olv e from relatively general, u ndifferentiated
structures to m ore highly d ifferentiated ones. Thus, ne w instances that
do not fit the category are dealt with in part through increasing
category differentiation. W e assume that category differentiation
tends to occur when the perceiver encounters numerous and varied
instances of the category, and experiences incentives to d istinguish
among category members. (p. 166)
A s r e v i e w e d l a t e r , t h i s v i e w o f g r o u p i m p r e s s i o n s a s e v o l v i n g ,
d y n a m i c c o n f i g u r a t i o n s i s w e l l s u p p o r t e d b y t h e e m p i r i c a l l i t e r a -
t u r e. H o w e v e r , t h e o r i e s o f m e n t a l r e p r e s e n t a ti o n s a b o u t s o c i a l
g r o u p s h a v e f a i l e d t o g i v e a c o m p r e h e n s i v e e x p l a n a t i o n o f t h e
e m p i r i c a l f i n d i n g s .
T h e c o n c e p t o f s c h e m a h a s o f t e n b e e n u s e d t o r e f e r t o m e n t a l
r e p r e s e n t a ti o n s o f so c i a l g r o u p s ( F i s k e & N e u b e r g , 1 9 9 0 ; F i s k e &
T a y l o r , 1 9 9 1 ) ; f o r a r e l a t e d f o r m u l a t i o n , s e e S t a n g o r & L a n g e ,
1 9 9 4 ). I n f a c t , A s c h ' s c o n t e n t i o n t h a t g r o u p i m p r e s s i o n s a r e s tr u c -
t u r e d ( a s i n G e s t a l t ) i s w e l l r e f l e c t e d i n t h e n o t i o n o f " g r o u p
s c h e m a . " N e i s s e r ( 1 9 7 6 ) d e f i n e d t h e c o n c e p t o f " s c h e m a t a " a s
w h a t h e c a l l e d c o g n i t i v e s t r u c t u r e s , w h i c h a r e " a n o n s p e c i f i c b u t
o r g a n i z e d r e p r e s e n t a t i o n o f p r i o r e x p e r i e n c e s " ( p . 2 8 7 ). F i s k e a n d
T a y l o r ( 1 9 9 1 ) s i m i l a r l y d e f i n e d " s c h e m a " a s " a c o g n i t i v e s t r u c t u r e
t h a t r e p r e s e n t s k n o w l e d g e a b o u t a c o n c e p t o r t y p e o f s t i m u l u s ,
i n c l u d i n g i t s a tt r i b u te s a n d / h e r e l a t i o n s a m o n g t h o s e a t t r i b u t e s " ( p.
9 8 ) . R u m e l h a r t ( 1 9 8 0 ) d e f i n e d a s c h e m a a s " a d a t a s t r u c t u r e f o r
r e p r e s e n t i n g t h e g e n e r i c co n c e l) t S s t o r e d i n m e m o r y . . . . I n a s m u c h
a s a s c h e m a u n d e r l y i n g a c o n c e p t s t o r e d i n m e m o r y c o r r e s p o n d s t o
the me ning
o f t h a t c o n c e p t , m e a n i n g s a r e e n c o d e d i n t e r m s o f t h e
t y p i c a l o r n o r m a l s i t u a ti o n s o r e v e n t s t h a t i n s t a n t i a te t h a t c o n c e p t "
(p. 34) .
H o w e v e r , t h e g e n e r a l l y s t a t i c n o t i o n o f s c h e m a i s n o t s u i t a b l e
f o r d e s c ri b i n g t h e d y n a m i c e v o l u t i o n o f i m p r e s s i o n s , d e s p i t e s o m e
a t te m pts a t r e v i s ing i t ( e . g . , Croc ke r , F i ske , & Ta ylor , 1984, on
s c h e m a c h a n g e ) . B a r t l e t t ( 1 9 3 2 ) , w h o i s c r e d i t e d w i t h h a v i n g
i n t r o d u c e d t h e s c h e m a c o n c e p t t o p s y c h o l o g y , m o s t c l e a r l y e x -
p r e s s e d t h i s c o n c e r n .
I strongly dislike the term "schema." It is at once too definite and too
sketchy . . . . I t suggests some pers istent, but f ragmentary, " form o f
arrangement," and it does not indicate what is very essential to the
whole notion, that the organised mass results of past changes of
position and po sture are actively doing something all the time; are, so
to speak, carried along with us, complete, though developing, from
moment to moment. (pp. 200-201)
I n t e r e s t i n g l y , o n e s c h e m a t h e o r i s t a l s o r e c o n c e p t u a l i z e d t h e
s c h e m a c o n c e p t w i t h i n a d y n a m i c c o n n e c t i o n i s t f r a m e w o r k
( R u m e l h a r t , S m o l e n s k y , M c C l e l l a n d , & H i n t o n , 1 9 8 6 ) .
M o r e r e c e n t t h e o r i z i n g a b o u t m e n t a l r e p r e s e n t a t i o n s o f s o c i a l
g r o u p s m o v e d a w a y f r o m t h e s t a t ic c o n c e p t i o n w h i l e r e t a i n i n g t h e
s t r u c tu r e d , G e s t a l t - l ik e p r o p e rt y . S m i t h a n d Z ~ a t e ( 1 9 9 0 , 1 9 9 2 ;
a l s o s e e L i n v i U e & F i s c h e r , 1 9 9 3 ) p o s t u l a t e d a n e x e m p l a r t h e o r y
o f m e n t a l r e p r e s e n t a t i o n s o f s o c i a l g r o u p s b a s e d o n t h e c o n t e x t
m o d e l o f e x e m p l a r - b a s e d c a t e g o r i z a t i o n ( e .g . , M e d i n & S c h a f f e r ,
1 9 7 8 ; N o s o f s k y , 1 9 8 4 ) . T h e i r b a s i c p r e m i s e i s t h a t p e o p l e r e p r e -
s e n t s p e c i f i c e x e m p l a r s o f a g r o u p , i n c l u d i n g a n e p i s o d e o f e n -
c o u n t e r i n g a m e m b e r o f t h e g r o u p , a n i n f e r e n c e m a d e f r o m a n y
i n f o r m a t i o n g i v e n a b o u t t h e g r o u p , a n d h e a r s a y a b o u t t h e g r o u p
f r o m o t h e r s . S m i t h a n d Z ~ a t e a s s u m e d t h a t e x e m p l a r s m a y v a r y
o n m u l t i p l e d i m e n s i o n s , a n d c a t e g o r i z at i o n s a n d j u d g m e n t s a b o u t
e x e m p l a r s a r e m o d e l e d b y a n a l g e b r a i c f u n c t i o n o f s i m i l a r i t i e s
a m o n g t h e e x e m p l a r s . F u r t h e r m o r e , t h e o v e r a l l s i m i l a r i t y b e t w e e n
t w o e x e m p l a r s i s a s s u m e d t o b e a m u l t i p l i c a t i v e fu n c t i o n o f t h e
s i m i l a r it i e s o n th e d i m e n s i o n s ( r e v i e w e d l a te r ). A s n o t e d b y M e d i n
a n d S c h a f f e r ( 1 9 7 8 ) , t h e m u l t i p l i c a t i v e s i m i l a ri t y f u n c t i o n u s e d i n
t h e c o n t e x t m o d e l e m b o d i e s i t s a s s u m p t i o n t h a t a c a t e g o r y i s
c o n f i g u r a l l y r e p r e s e n t e d ( e .g . , as o p p o s e d t o R e e d , 1 9 7 2 ) . A n
e x e m p l a r - b a s e d r e p r e s e n t a t i o n t a k e s f o r g r a n t e d a p o t e n t i a l f o r
It should be noted that Asch's sense of dynamics also implied that
meaning of a stimulus changes as a function o f preexisting mem ory and
concurrent stimuli. This sense of dynamics as meaning change is not
directly handled by the current mod el. To capture this, a model of encoding
processes is necessary, and it falls outside the current scope of TPM.
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91 6 KASHIMA, WOOLCOCK, AND KASHIMA
change and development of group impressions; clearly, as new
exemplars are cumulated, representations should change as well.
Although the exemplar model incorporates both dynamic and
configural properties of group impressions, it falls short of ex-
plaining some quantitative properties of group impression forma-
tion. Smith and Zfirate (1992) assumed that when multiple exem-
plars are retrieved from memory, features are averaged on a
dimension. Although this averaging assumption is consistent with
the well-known averaging phenomenon in person impression for-
mation (e.g., Anderson, 1968, 1981; for a review, see Kashima &
Kerekes, 1994), it does not specify the mechanism by which the
computation may be accomplished. We explicate a model that
explains the averaging phenomenon while retaining the configural
nature of group representations postula ted by the exemplar model.
The weighted averaging model (Anderson, 1981, 1982) and the
context model adopted by Smith and Zfirate (1992) are shown to be
derivable from a more general connectionist model of memory:
TPM. 2
To locate TPM in the contemporary theoretical landscape, a
brief sketch of connect ionist applications may be useful (for re-
views, see Read & Miller, 1998; Read, Vanman, & Miller, 1996;
Smith, 1996). Currently, there are two general connectioni st ap-
proaches. Localist connectionist models assume that each
information-processing unit represents a meaningful concept and
that the interconnected units collectively represent a network of
concepts and ideas. In this framework, simultaneous activation of
the connected units produces mutual facilitation and inhibition,
enabling it to reproduce surprisingly complex psychological phe-
nomena such as stereotyping (Kunda & Thagard, 1996), causal
explanation (Read & Marcus-Newhall, 1993; Van Overwalle,
1998), and cogni tive dissonance (Schultz & Lepper, 1996) . Its
strength lies in its capacity to describe the dynamics involved in
the use of a network of existing concepts. In contrast, dist ributed
connectionist models (e.g., Kashima & Kerekes, 1994; Smith &
DeCoster, 1998a, 1998b) take the view that a meaningful concept
is represented by a pattern of activation over multiple processing
units and that learning occurs as the connections among the un its
are modified. In this framework, a central focus is learning. TPM
extends the distributed connectionist approach.
A virtue of the TPM is its versatility and generality. TPM has
been used to explain memory (e.g., Humphreys et al., 1989; Pike,
1984), natural language processing (e.g., Smolensky, 1990), and
reasoning (Halford et al., 1994). We show that TPM can account
for a wide range of findings on group impression formation and
change: averaging phenomena in impression formation (e.g.,
Anderson, 1981), the learn ing of group categories from exemplars
(Smith & Zgtrate, 1990), time-dependent phenomena in group
impression formation (e.g., recency, response dependency; see
Kashima & Kerekes, 1994), stereotype change (e.g., R. Weber &
Crocker, 1983), and category accentuation phenomena (e.g.,
Krueger & Rothbart, 1990; Tajfel & Wilkes, 1963). In doing so,
the model incorporates a variety of theoretical insights such as
variable perspective model (Upshaw, 1969), the notion of individ-
uation (Brewer, 1988; Fiske & Neuberg, 1990), and relational
information about interpersonal and intergroup relationships
(Turner, 1987). We report the results of three major simulations
and one major experiment to support the model.
The Tensor Product Model of Group Impression
Formation and Change
In this section we offer an overview of the model, first expli-
cating its basic assumptions and then mathematically describing
the processes of encoding, storage, and output.
Basic ssumptions of the Model
Social perceivers acquire information about a social group
mostly from their social environment. Through direct interaction
with members of the group or indirect hearsay in interpersonal
discourse (Asch, 1952; Linvil le & Fischer, 1993; Park & Hastie,
t987), the perceivers construct their impressions about the group.
Like exemplar theories (e.g., Linvil le & Fischer, 1993; Smith &
Zfirate, 1992), TPM assumes that particular episodes of interaction
and discourse are the basis of group impression format ion and
change. The episodic social information is culturally structured
(e.g., Bruner, 1990; Triandis, 1995). Social events typically
present themselves as meaningful actions that can be described by
natural languages (i.e., action verbs in Semin & Fiedler's, 1988,
1991, linguistic category model; for instance, helping an old lady
crossing the street ). Conversants about a group use meaningful
words and phrases to characterize a group (i.e., adjectives or state
verbs in Semin & Fiedler; for instance, helpful ). It is those
culturally meaningful events that engage the perce ivers' cognitive
activities.
The episodic nature of social information makes it necessary for
a model of group impressions to represent the context in which the
cognit ive episode occurred (Tulving, 1983). Group impressions
not only are based on the information about the group but also
include the information about the context in which the information
was obtained. Contextual informat ion may inc lude the social sit-
uation in which the event was observed (e.g., at the party), tem-
porary information such as before or after a landmark event (e.g.,
shortly after the landing on the moon), the person who told the
perceiver about the group (e.g., Joe told me this ), the affective
state of the self, or even a simple indexical representation such as
this time as opposed to that time. Therefore, information is
assumed to be packaged as a configura tion of an event and the
context in which the event occurred. A number of researchers
presented evidence and arguments consistent with this assumption
(e.g., McConnell , Liebold, & Sherman, 1997; Schaller, 1992;
Shoda, Mischel, & Wright, 1989; Trafimow, 1998; Wright &
Mischel, 1987).
It is assumed that an event-in-context is cognitive ly analyzed
into various aspects and encoded into specific features. Aspects
were called respects by Medin, Goldstone, and Gentner (1993)
and dimensions by Turner, ta ke s et al. (takes , Haslam, &
Turner, 1994; Turner, 1987). In this article, aspects are defined as
culturally useful dimensions, and features are specific levels within
those dimensions. Kashima et al. (1998) illustrated these concepts
using the example of an American male viewer watching on
television a documentary of an Australian Aboriginal family in the
2 Although another type of mental representationspostulated for social
groups is an associative network model (e.g., Stangor & Lange, 1994), hat
type of model is not suitablefor modeling he averagingphenomenon.For
a further discussion, see Kashima and Kerekes (1994).
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GROUP IMPRESSIONS AS DYNAMIC CONFIGURATIONS
9 7
outback of Aus tra l ia . From th is ep isode , the v iewer may ex trac t the
aspects of skin color , area of residence, and context and
encode these aspects in terms of specif ic features such as dark
skin, rural area, and on television. The TPM , therefore,
assumes that an event - in-con text is interpreted into a set of features
(with regard to aspects) .
The TP M a lso assumes tha t thus ana lyzed fea tures of an event-
in-con text are integrated into a coherent, configural representation,
and th is in tegra t ion process can be mathematica l ly modeled as the
computa t ion o f a tensor produc t . The process o f f ea ture in tegra t ion
may be ana logous to perceptua l b ind ing (Cr ick , 1984; Tre isman &
Gelade , 1980) , which is hypothes ized to occur when a v iewer ' s
neura l mechanisms rap id ly b ind a var ie ty of v isua l f ea tures to -
gether to present themselves to the viewer as a coherent, mean-
ingfu l ob jec t and event . Although the neura l bas is o f the b ind ing
process is yet to be examined fully (for a review, see Schacter ,
Norman, & Kouts taa l , 1998) , the TPM may provide a computa-
t iona l so lu t ion to th is p roblem (Humphreys , Wiles , & Dennis ,
1994).
Encoding Storage and Output Processes in the TPM
Figure 1 provides a schematic picture of the TPM architecture
invo lvin g four aspects: group, person, event, and context. Each
aspect is represented by a designated cluster of cognitive units , and
a pattern of activation over a given cluster of units represents a
feature (e.g., a specif ic group label, an in dividu ated person) . The
opera t ion of the TPM can be descr ibed in te rms of encoding ,
storage, and output processes.
Encoding Process
The encoding process consists of two subprocesses: feature
encoding and represen ta t ion cons truc t ion . In the fea ture -encoding
subprocess, an eve nt- in-c ontex t is analyze d into a set of features
jt un t
P e rs o n
g[i] Group
.... o
k
~-~Z-I n unit
x[l] Context
k]
k th un it
v e n t
Figure1. A schematic diagram of a tensor product net with four aspects
representing group, person, event, and context.
(e .g., group mem bership, person al identity, behavio ral description)
and represented in a distr ibuted format. This subprocess transform s
a feature into a distr ibuted representation of the feature. In exem-
plar theories , an exemplar is usually understood as a configuration
of features, whereas each feature takes a unitary representation.
With in a d is t r ibu ted represen ta t iona l sys tem, however , a meanin g-
ful, apparently unitary concept (e .g. , feature) may be represented
as a pattern of activation over a collection of cognitiv e units rather
than the ac t iva t ion of a s ing le semantic node ( see Hin ton &
Ande rson, 1989; Rumelhart et al. , 1986). For ease of exposition, it
is assumed that a feature is represented by a pattern of activation
over N cognitive units in a given cluster ; a unit takes any value
f rom nega t ive in f in i ty to pos i t ive in f in i ty ; and a un i t in the res t ing
state takes the activation level of
lPv/N.
Mathem atically, a pattern of activation over N units is described
by a real valued vector with N elements . In other words, one
feature of an event - in-con text is represented by a vector , f , whose
ith element, f[i] represents the level of activation of the ith unit.
I f two features are extracted, two N-el eme nt vectors , such as f~ and
f2 would represent the event- in-context. More generally, if m
features are extracted, m N-elem ent vectors are used. The length of
a vector is def ined as the square root of its inne r product w ith itself ,
that is , the length of f = %/(f f ) , where the inner product, ( f f ) =
Yf [ i] f [ i] . The vector , r , is used to represen t a collection of units all
in the resting state, that is , all N elements of r are 1/N/N (see
Hum phreys et al. , 1989). In this ar ticle , all the vectors are assumed
to have the length of un i ty .
The subprocess of representation construction integrates the
distr ibuted feature representations into a configu ral representation.
That is , a representation of a relevant social episode is constructed
as a configuratio n of the features with regard to various aspects o f
the experience. In Figure 1, this may be u nderstood as the spread-
ing of ac t iva t ion f rom the c lus te r s o f un i ts to the ir connec t ion
poin ts , and as the computa t ion of the amount by which each
connec t ion is s t r engthened . This m echanism, a genera l iza tion of
Hebbian lea rn ing , is mathematica l ly modeled as the computa t ion
of an outer product of the vectors . Recall that the vectors describe
the patterns of activation over the units , which represent the
features of the episode. The computation of the outer product
results in a mathematical entity known as a tensor . A tensor is a
generalizatio n of a vector and a matr ix. A vector can be thought of
as a Rank 1 tensor . When the outer product of two vectors is
computed, the result is a matr ix, which is a Rank 2 tensor . The
outer product of three or more vectors can also be computed,
resulting in a tensor of Rank 3 or higher .
Imagine an ep isode ana lyzed in to four f ea tures r epresen ted by
four N-e lem ent vectors: fm, f2, f3, and f4. The tens or product ,
El
o f
these vectors is written as
(1)
Let E 1 i, j , k, l] represent the elem ent at the ( i, j , k, /) coordinate o f
the tensor , Et . Then, th e tensor , E 1, is def ined as follows:
El[i j k l] = f~[i] f2[J] f3rk] f4[l].
The same nota tion can be generalized to a rank m tensor: E 1 = f~
® f2 ® f3 ® . • • ® fm- Note that a bold l owercase letter is used to
denote a vector and a bold uppercase letter is used to denote a
tensor.
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9 1 8 K A S H I M A , W O O L C O C K , A N D K A S H IM A
T h e p r e s e n t a r t i c le m o s t l y d e a l s w i t h r e p r e s e n t a t i o n s c o n s i s t i n g
o f g r o u p l a b e l , p e r s o n , b e h a v i o r e p i s o d e , a n d c o n t e x t . F o r e x a m -
p l e , a n e p i s od e i n w h i c h t h e o b s e r v e r w i t n e s s e d G e o r g e , a m e m b e r
o f a s o c c e r c l u b , h e l p a n o l d l a d y c r o s s i n g t h e b u s y s t r e e t m a y b e
r e p r e s e n t e d b y a r a n k f o u r t e n s o r o f t h e f o r m ,
E l = g 1 Q P l ~ e l Q x l ,
2 )
w h e r e g l r e p r e s e n t s t h e g r o u p l a b e l , s o c c e r c l u b , P l r e p r e s e n t s
G e o r g e , e l r e p r e s e n t s h e l p i n g a n o l d l a d y c r o s s i n g t h e b u s y
s t r e e t, a n d x ~ r e p r e s e n t s n e a r t h e b u s y s t re e t . I f t h e i n d i v i d u a l
m e m b e r o f t h e g r o u p i s n o t i n d i v i d u a t e d , t h e p e r s o n a s p e c t i s
a s s u m e d t o r e m a i n a t t h e r e s t i n g l e v e l ( i . e . , r ; a l l e l e m e n t s a r e
l / V b 0 .
T h e r e p r e s e n t a t i o n o f t h e b e h a v i o r e p i s o d e m a y i n c l u d e a n y
i n f e r e n c e s m a d e o f t h e e p i s o d e , s u c h a s t r a i t s ( e .g . , S h e r m a n , 1 9 9 6 ;
c f. U l e m a n , N e w m a n , & M o s k o w i t z , 1 9 9 6 ) , ag e n t i c o r c o m m u n a l
o r i e n t a t i o n s f r o m r o l e e x p e c t a t i o n s ( e . g . , E a g l y & S t e f f e n , 1 9 8 4 ;
H o f f m a n & H u r s t , 1 9 9 0 ) , a n d g e n e r a l i z e d e x p e c t a t i o n s b a s e d o n a
g r o u p ' s p e r f o r m a n c e a n d d e c i s i o n ( e. g ., A l l i s o n & M e s s i c k , 1 9 8 5 ;
f o r a re v i e w , s e e A l l i s o n , M a c k i e , & M e s s i c k , 1 9 9 6 ). W e a l s o
a s s u m e t h a t t h e a m o u n t o f a t t e n t i o n d i r e c t e d t o a g i v e n e p i s o d e
m a y v a r y. T h e a m o u n t o f a t t e n t io n a t t i m e t i s i n d e x e d b y t h e
a t ten t iona l pa ram ete r , ce , (0 -< a , --< 1 ) , whe re 0 i s no a t te n t ion
a n d 1 i s f u l l a t te n t i o n . T h e e n c o d e d e v e n t a t t i m e 1 i s, t h e r e fo r e ,
r e p r e s e n t e d a s or i e l . 3
S t o r a g e P r o c e s s
O n c e a m e n t a l r e p r e s e n t a t i o n o f a n e v e n t i s c o n s t r u c t e d , i t i s
s t o re d i n m e m o r y . T h e c e n t ra l a s s u m p t i o n o f T P M i s t h at e v e r y
n e w r e p r e s e n t a t i o n i s s u p e r i m p o s e d o n p r e e x i s t i n g r e p r e s e n t a ti o n s .
W i t h t h e p a s s i n g o f a u n i t t i m e p e r i o d , t h e m e m o r y t r a c e i s
a s s u m e d t o w e a k e n a s s p e c i f i e d b y t h e f o r g e t t i n g p a r a m e t e r , / 3
( 0 < /3 < 1 ). T h e s t o ra g e o p e r a t i o n is t h e n m o d e l e d a s a t e n s o r
a d d i t i o n . F o r i n s t a n c e , t h e r e p r e s e n t a t i o n o f a n e w e p i s o d e , E l , i s
a d d e d t o t h e p r e e x i s t i n g m e m o r y , M o , r e s u l t i n g i n t h e m e m o r y ,
M 1, t h e s u m o f t h e t w o t e n s o r s :
M1 = /3M0 +
o r i E l
3)
wh ere M I[ i , j , k , / ] = /3Mo[i , j , k , I] cqE l[i , j , k , l] . T h i s i s
e q u i v a l e n t t o t h e s t r e n g t h e n i n g o f t h e c o n n e c t i o n s a m o n g t h e u n i t s
i n F i g u r e 1 .
M o r e g e n e r a l l y , a s s u m i n g t h a t t h e t e n s o r s a r e o f t h e s a m e r a n k
a n d d i m e n s i o n a l i t y , t h e m e m o r y r e p r e s e n t a t i o n a t t i m e t - 1 ,
M t _ 1 , i s u p d a t e d b y a n e w e p i s o d e a t t i m e t , E t , a s f o l l o w s :
M t
= ~ M t _ 1 o t t E t .
(4 )
N o t e t h a t t h e a t t e n t i o n p a r a m e t e r i s t i m e d e p e n d e n t : T h a t i s , i t m a y
v a r y f r o m t i m e t o t i m e ; h o w e v e r , t h e f o r g e t t i n g p a r a m e t e r i s
a s s u m e d t o b e a s y s t e m c o n s t a n t .
O u t p u t P r o c e s s
T w o k i n d s o f o u t p u t p ro c e s se s h a v e b e e n e x a m i n e d i n t h e g r o u p
i m p r e s s i o n f o r m a t i o n l i t e r a t u r e : j u d g m e n t a n d c l a s s i f i c a t i o n . I n
j u d g m e n t , a n o v e r a l l i m p r e s s i o n i s r e p o r t e d o n a r a t i n g s c a l e ( e . g .,
H a m i l t o n & G i f f o r d , 1 9 7 6 ) ; i n c l a s s i fi c a t i o n , e x e m p l a r i n f o r m a -
t i o n i s u s e d t o c l a s s i f y th e e x e m p l a r i n t o a n a p p r o p r i a t e c a t e g o r y .
T h e d i f f e r e n c e l i e s i n t h e u s e o f c u e s . I n j u d g i n g a g r o u p , t h e l a b e l
o f t h e g r o u p ( e . g ., g r o u p A ) i s u s e d a s a c u e t o a c c e s s m e m o r y , a n d
w h a t e v e r i s r e m e m b e r e d i s r e p o r t e d o n r a t i n g s c a l e s . I n c l a s s i f i -
c a t i o n , i t i s a c o n c r e t e e x a m p l e t h a t a c t s a s a c u e , a n d a n a s s o c i a t e d
g r o u p l a b e l i s r e t r i e v e d f r o m m e m o r y .
T o m o d e l t h e t w o t y p e s o f o u t p u t p r o c e s s e s , K a s h i m a e t a l .
( 1 9 9 8 ) u s e d t w o o p e r a t i o n s , retrieval and matching, p o s t u l a t e d b y
H u m p h r e y s e t a l . ( 1 9 8 9 ) . A c c o r d i n g t o H u m p h r e y s e t a l . , t h e
r e t r i e v a l o p e r a t i o n i s i n v o l v e d i n r e c a l l i n w h i c h a p i e c e o f i n f o r -
m a t i o n i s r e t r i e v e d f r o m m e m o r y . T h i s i s m o d e l e d w i t h i n t h e
t e n s o r p r o d u c t f r a m e w o r k a s t h e a c c e s s i n g o f a d i s t r ib u t e d m e m o r y
r e p r e s e n t a t i o n b y a l o w e r r a n k e d t e n s o r . F o r i n s t a n c e , i f th e m e m -
o r y r e p r e s e n t a t i o n i n v o l v e s a R a n k 3 t e n s o r , a R a n k 2 t e n s o r i s
u s e d a s a c u e . T h i s o p e r a t i o n r e s u l t s i n t h e e m e r g e n c e o f a
d i s t r i b u t e d r e p r e s e n t a t i o n ( i. e ., a v e c t o r ) . T h i s p r o c e s s i s a n a l o g o u s
t o c l a s s i f i c a t io n , i n w h i c h m e m o r y i s a c c e s s e d b y t h e r e p r e s e n t a -
t i o n o f a n e p i s o d e w i t h o u t a g r o u p l a b e l ( a t e n s o r o f a l o w e r r a n k ) ,
a n d a d i s t r i b u t e d r e p r e s e n t a t i o n o f a g r o u p l a b e l ( a v e c t o r ) i s
re t r ieved .
M o r e f o r m a l l y , l e t M b e a t e n s o r o f R a n k 4 , c o n s i s t i n g o f t h e
a s p e c t s o f g r o u p l a b e l , p e r s o n , e v e n t , a n d c o n t e x t , a n d l e t C b e a
t e n s o r o f R a n k 3 w i t h t h e a s p e c t s o f p e r s o n , e v e n t , a n d c o n t e x t ,
t h a t i s , C = [ ] ( ~ P l Q e l ® x l , w h e r e [ ] d e n o t e s a m i s s i n g
a s p e c t. I n o t h e r w o r d s , C d o e s n o t c o n t a i n g r o u p l a b e l i n f o r m a t i o n .
T h e r e t r i e v a l f u n c t i o n i s d e f i n e d a s f o l l o w s :
R e t r i e v e ( M , C ) = v,
w h e r e t h e v e c t o r , v , i s d e f i n e d a s b e l o w :
v [ i ] = E ~ ~ M [ i ,
j
k , / ]C [ j , k , l ] . (5 )
j k l
T h e r e t r i e v e d v e c t o r, v , i s a n o i s y r e p r e s e n t a t i o n o f t h e g r o u p l a b e l
a s s o c i a t e d w i t h t h e e v e n t - i n - c o n t e x t .
T h e m a t c h i n g o p e r a t i o n w a s u s e d b y H u m p h r e y s e t a l . ( 1 9 8 9 ) t o
m o d e l r e c o g n i t i o n m e m o r y . T h e y p o s t u l at e d t h a t r e c o g n i t i o n j u d g -
m e n t i s b a s e d o n a s e n s e o f f a m i l i a r i t y t h a t p e o p l e f e e l w h e n t h e y
s e e a n o b j e c t. M a t c h i n g i n v o l v e s t h e a c c e s s i n g o f m e m o r y b y a c u e
r e p r e s e n t e d b y a t e n s o r o f t h e s a m e r a n k , r e t u r n i n g a s c a la r , w h i c h
i n d i c a t e s a g e n e r a l f e e l i n g o f m a t c h i n g s t r e n g t h , o r a f e e l i n g o f
k n o w i n g . P e o p l e w o u l d t a k e a g r e a t e r m a t c h i n g s t r e n g t h a s a n
i n d i c a t i o n t h a t t h e y h a v e s e e n t h e o b j e c t b e f o r e . K a s h i m a e t a l .
( 1 9 9 8 ; a l s o s e e K a s h i m a & K e r e k e s , 1 9 9 4 ) p o s t u l a t e d t h a t b i p o l a r
i m p r e s s i o n j u d g m e n t i n v o l v e s a p r o c e ss a n a l o g o u s t o r e c o g n i t i o n
m e m o r y . T h e y s u g g e s t e d t h a t , i n m a k i n g a g r o u p im p r e s s i o n
j u d g m e n t o n a b i p o l a r s c a l e ( e .g . , l i k e a b i l i t y , t r a it , o r a t t i t u d e
d i m e n s i o n s ) , p e o p l e a c c e ss m e m o r y b y c u e s c o n t a i n i n g t h e g r o u p
l a b e l , c o n t e x t i n f o r m a t i o n , a n d t h e h i g h - a n d l o w - e n d a n c h o r s o f
t h e j u d g m e n t s c a l e .
M o r e f o r m a l l y , l e t u s d e s i g n a t e b y a t e n s o r o f R a n k 4 , M , t h e
m e m o r y r e p r e s e n t a ti o n b a s e d o n w h i c h a b i p o l a r j u d g m e n t a b o u t a
g r o u p i s m a d e . T h i s t e n s o r c o n s i s t s o f t h e a s p e c t s o f g r o u p l a b e l ,
p e r s o n , b e h a v i o r e p i s o d e , a n d c o n t e x t . I n j u d g m e n t , t w o c u e s a r e
u s e d t o a c c e s s t h i s m e m o r y . T h e c u e s a r e d e s c r i b e d b y t e n s o r s o f
3 In this article, for expository simplicity, attention is assumed not to
differ for different aspects. However, it is possible to make the mo del more
general, so that attention varies across aspects or e ven for each exem plar's
different aspects.
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GROUP IMPRESSIONS AS DYNAMIC CONFIGURATIONS 919
Rank 4, It and L, both including a particular group label and
context, g and x. In addition, they contain representations of a
person and the judgment scale. When a particular member of the
group is specified (i.e., George the soccer player), the person
aspect of the tensors involves a particular activation pattern, p, to
represent this person. When an individuated person is not specified
as a cue, the units for the person aspect stay at the resting state;
therefore, the person aspect of these tensors is described by a
vector r. In this section, we describe only the latter case, although
the former will be relevant later. The behavior episode aspect of
these tensors is either the mental representation of the higher or
lower end anchor of a judgm ent scale (e.g., likable or unlikable),
h, orl . Therefore, H=g ®r ®h ®x , an dL = g®r® i® x.
The matching operation is defined as
Mat ch( M, H) = ~ ~ ~ ~ M[i, j, k, /]H[i, j, k, l], (6)
j k l
and
Match(M, L) = ~ ' ~ M[i , j , k, I ]L[i , j , k, 1]. (7)
i j k l
These operations return a scalar that approximates the similarity
between the memory and the cue, which can be interpreted psy-
chologically as the general feeling of familiarity.
The judgmen t process is then modeled as follows:
Match(M, I-I)
Judg ment = Match(M, I-I) + Match(M, L) " (8)
This equation embodies the assumption that the judgment scale
provides a frame of reference in which people place the target
group. People are assumed to access the memory representation by
the higher end (Equation 6) and the lower end (Equation 7) of the
scale. They then evaluate the relative "closeness" of the target
group to the higher end relative to the lower end. This evaluation
is used to make a judgment on the bipolar scale (Equation 8). Note
that this is a special case of the relative goodness rule (Massaro &
Friedman, 1990; see also Luce, 1959).
General Characteristics of the TPM
The major characteristic of the TPM is its capacity to model
group impressions as dynamic configurations. The model explic-
itly traces the dynamic development of the mental representations
of a social group over time as new information is encountered. It
also provides a way of describing a configural representation that
Asch's (1946, 1952)
Gestalt
approach postulated. As noted by
Read et al. (1996), Kashima and Kerekes's (1994) simple linear-
associator does not handle a complex cortfigural representation;
however, the TPM rectifies this limitation and contributes to the
configural research tradit ion th/tt Read et al. advocated.
In modeling the output process for impression judgment, TPM
incorporates the insight of Upshaw's (1969) variable perspective
model. According to Equation 8, a judgment is, generally, a
function of how similar the memory is to the high-end anchor
relative to its similarity to the low-end anchor (for detailed dis-
cussion, see Kashima & Kerekes, 1994). This implies that people
interpret the adjectives and words that are used in judgment scales
differently, and observed judgments can vary as a function of the
mental representations of the scale anchors (e.g., Campbell, Lewis,
& Hunt, 1958; Manis, 1967; Ostrom & Upshaw, 1968; Volkmann,
1951). More recently, Biernat et al. (Biernat & Kobrynowicz,
1997; Biemat & Manis, 1994) convincingly demonstrated the
importance of this insight in group-relevant udgments by showing
that a social group membership of targets can alter the mental
representations of end anchors of judgment scales.
Several points are noteworthy about the representations of judg-
ment scale anchors. First, scale anchors must pertain to an aspect
of the tensor representation (e.g., in the present case, to the event
aspect). Second, we assume that the scale anchors are selected by
the experirnenter so that they are relevant to the expected memory
content.4 If they are irrelevant to the event memories, both
Match(M, I-I) and Match(M, L) would return relatively small
values. In this case, a judgment following Equation 8 may fall
around the scale midpoint because Match(M, H) and Match(M, L)
may both be equally small (this would be the case of indifference
as opposed to ambivalence). Third, the model accommodates the
possibil ity that the trait words used as scale anchors may be
relatively independent concepts. More formally, the mental repre-
sentations of the high and low endpoints of a scale, h and , may
be such that (h . 1) may be close to zero (or uncorrelated). Although
this assumption is not strictly necessary, it is consistent with the
finding by Skowronski and Shook (1997), in which antonymous
trait adjectives were shown to have relatively independent
representations.
Comparisons With Other Relevant Theories
In this section, we contrast TPM with three most relevant
connec tionist theories.
Kunda and Thagard s (1996) IMP Model
Kunda and Thagard's (1996) theory, which modeled person
impression formation as a parallel constraint satisfaction process,
differs from TPM in two respects. First, the Kunda-Thagard model
treats an observer's "knowledge" about a social group as given and
describes i ts use in forming impressions about a person. As Kunda
and Thagard (1996) noted, their model does "not address the
question of how incoming information may alter one's knowledge
about stereotypes, behaviors, and their associations" (p. 304). It is
this process of formation and change, or temporal dynamics, of
group impressions that TPM is designed to address.
Second, cognitive architectures differ. The present mode l as-
sumes a distributed representation, whereas the Kunda-Thagard
model assumes a localist representation. In a distributed represen-
tational system, a vector is used to represent a concept, whereas a
localist representational system uses a meaningful ly interpretable
"node" to represent a concept. An advantage of the distributed
representational system in the present context is the ease with
4 I n
fact, in most impression formation experiments, stimuli are con-
structed or selected so that they clearly mark higher or lower ends of a
given bipolar scale (e.g., likability). For example, personality rait words
may be selected for their clear evaluativeconnotation;behavioral descrip-
tions may be selected on the basis of their normative atings n a pilot study
so that some clearly indicate one trait and others, its opposite.
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920 KASHIMA, WOOLCOCK, AND KASHIMA
which it can explain the averaging phenomenon in impression
formation (Kashima & Kerekes, 1994).
Fied ler s (1996) B IAS Model
Fiedler (1996) proposed the BIAS (Brunswikian Induction Al-
gorithm for Social Cognition) model to explain a number of
judgmental biases found in social cognition. This model uses a
distributed representational system in which a piece of information
is represented as a vector. Biases are explained as a consequence
of the process o f aggregating a number of representations. In terms
of its formal property, BIAS is a special case of the tensor product
model. When a Rank 1 tensor (or a vector) is used to represent a
concept, TPM reduces to BIAS. Alternat ively, TPM may be
thought of as an extension of BIAS along the dynamic configural
line. BIAS uses a vector representation but does not construct a
configural representation that conjunctivelycombines features of a
stimulus object. BIAS is not a memory model, but TPM is
grounded in the memory literature.
One major difference between BIAS and TPM lies in their
metatheoretical interpretations of the mathematical formalism.
TPM takes a cognit ive perspective and assumes that the processing
of distributed representations as characterized by the mathemat ical
formal ism is an algorithmic descript ion of the cognit ive processes
(Marr, 1982). By contrast, BIAS expl icitly interprets a distributed
representation as a set of mult iple proximal cues that bears prob-
abilistic relations with a distal object within Egon Brunswik's
(1956) theory of perception, wi thout adopting the cognitive met-
aphor (Fiedler, 1996, p. 200). Nevertheless, the metatheoretical
difference may be more apparent than real in that Marr 's algorith-
mic theory does not make a strong commitment to the way in
which a process is implemented in a physical system. Processing
units in TPM (or any distributed representational system for that
matter) can be interpreted as proximal cues.
Smi th and DeCo s ter s (1998a, 1998b) Recurren t Network
Smith and DeCoster (1998a, 1998b) used an autoassociative
network to model the process of person perception and memory.
Like the TPM and Fiedler' s BIAS, their model adopts a distributed
representational system. However, its capacity for memory makes
it different from BIAS. Further, the architecture and learning
algorithm of their autoassociative network differs from the TPM.
The processing units are all linked to each other (except with
themselves) in the recurrent network, whereas the TPM's associa-
tive links are limited to the units that represent different aspects of
a social event. The TPM uses a version of the Hebbian learning
rule (Kashima et al., 1998), but the Smith-DeCoster model uses the
delta rule, which is designed to minimize the network's error in
reproducing an input vector.
Like Kunda and Thagard, Smith and DeCoster model the do-
main of person perception, although they sometimes reported
simulat ions pertinent to group impressions. Smith and DeCoste r's
modeling attempt differs from ours in two respects. First is the
level of abstraction at which the research programs are pitched.
Smith and DeCoster are generally concerned about describing the
stereotype learning and use at an abstract level , whereas we at-
tempt to model empirical phenomena at a concrete level, much
closer to data. Therefore, Smith and DeCoster did not model
different types of output processes (i.e., impress ion judgment vs.
classification learning), a variety of time-dependent properties of
group impression formation (to be discussed later), and so on.
Second, Smith and DeCoster's model and TPM may also de-
scribe different types of learning processes. McClelland, Mc-
Naughton, and O'Reilly (1995) suggested that there are two types
of learning processes: a slow-lea rning system that extracts general
regularities, postulated to be implemented in the neocortex, and a
fast-learning system that requires at tentional resources and binds
novel stimuli to construct an episodic representation, which is said
to be localized in the hippocampal region. On the one hand,
McClel land et al., as well as Smith and DeCoster (1997), argued
that a connectionist learning system that uses an error-driven
algorithm (such as the delta rule) may be suitable for modeling the
slow-learning process. On the other hand, Denni s and Humphreys
(1997) postulated that a mechanism similar to the TPM may be
able to describe the fast-learning system (also see Wiles & Hum-
phreys, 1993).
This discussion suggests that Smith and DeCoster's model may
be best understood as an attempt at modeling the slow-learning
mechanism. An empirical inadequacy of Smith and DeCoster's
model (e.g., Kashima & Kerekes, 1994; also Busemeyer & Myung,
1988) may be interpretable in this light. As we discuss later,
Busemeyer and Myung analytically proved that the learning mech-
anism involved in the distributed memory system developed by
McClelland and Rumelhart (1985, 1986) and used by Smith and
DeCoster (1998a, 1998b) predicts that the way in which people
estimate the prototype of a category is time invari ant (to be
discussed later more fully). However, Busemeyer and Myung's as
well as Kashima and Kerekes's (1994) data contradicted this
prediction. Later in this article we show that group impression data
also contradict it. Although it is too early to tell, Smith and
DeCoster's model may be more suitable for modeling the slow-
learning system, whereas TPM may be better suited for modeling
the fast, binding mechanism.
Group Impression Formation
In this section, we first model group impression formation
processes within the TPM framework and then report an experi-
ment in which TPM predictions are tested.
Model ing G roup Impress ion Format ion
Two types of experimental paradigms have been used to exam-
ine the formation of group representations (Kashima, 1999;
Kashima et al., 1998). One type is based on the classification
learning paradigm (Medin & Schaffer, 1978). Exemplars that vary
along mult iple dimens ions are classified into two novel groups.
The participants' task is to learn the classification and to classify
new stimuli into the two categories (Smith & Zftrate, 1990). The
other type is analogous to the person impression formation para-
digm, in which novel groups are described by a series of stimuli,
and experimental participants are told to make judgments about a
group. A well-known example is the distinctiveness-based llusory
correlation (Hamil ton & Gifford, 1976) . The classif ication and
judgment paradigms have produced two different theories, which
have not been integrated within a single theoretical framework.
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GROUP IMPRESSIONS AS DYNAMIC CONFIGURATIONS 921
C l a s s i f i c a t i o n L e a r n i n g
Kashima et al. (1998) showed that the TPM is consistent with
the generalized context model of classification learning (Nosofsky,
1984, 1986; Smith & Z~ate, 1992). The generalized context model
assumes that when people learn to classify into n groups exemplars
that vary along multiple dimensions (e.g., artistic vs. scientific,
sociable vs. unsociable), the classification decision for a new
exemplar is a function of the similarities of the new exemplar with
the learned exemplars. In a typical experiment , people learn to
classify exemplars
E i j
into groups
G i
and are later tested for their
classification of the old and new exemplars. The probability of
classifying a test exemplar, T, into the ith group, G~, is:
s e , j , 1 3
i j G i
P(G~IT) = ~ ~ s(Eij T ) 9)
i i j G i
where s E ~ j, T ) is the similarity between a learned exemplar (jth
exemplar of the ith group), E 0, and the new exemplar, T. Note that
G~ ~ Eq indicates that the summation is over all the exemplars that
belong to the ith group, G~.
The context model (Medin & Schaffer, 1978) postulates that the
overall similarity between a learned exemplar and the test exem-
plar is a multiplicative function of the dimensional similarities:
s E O , 1 3 = 1 - [ s E o b , r k ) , (10)
k
where s E o k , T k ) is the similarity between the learned exemplar,
E e, and the new exemplar, T, on the kth dimension (where k =
1 . . . K ) .
From an analytical perspective, the classi fication choice pre-
dicted by TPM is consistent with the context model as character-
ized by Equation 9 and the multiplicative similarity function as in
Equation 10 (see Kashima et al., 1998, for a general proof). We
assume that the values that the exemplars
E e a n d T
take on the kth
dimension are encoded as eUk and etk. Then these exemplars may
be configurally represented as Eti =
g i
® %t ® ' ' ® etiK and T =
[ ] ® t I ® •
• ® t K, where [ ] indicates that the group aspect of
this representa tion is missing. Furthermore, assume that the mem-
ory representa tion after learn ing all the old exemplars is modeled
a s
M = E E E i j 1 1 )
i G i ~ i j
When this is accessed by the new exemplar, T, the retrieved
vector is a weighted sum of the vectors representing the group
labels
Retrieve(M, T) =
~ g i ] - [ k ( e t ik t k ) , ( 1 2 )
i G i ~ i j
where the weight, Y-o~Ei/I Ik (eUk tk), Can be interpreted as the
strength o f activation of the ith group label. Note that the similarity
between the kth feature of an exemplar, Eek, and the kth feature
of the test exemplar, irk, s E e k , Tk) = (eUk tk). Therefore, IIk
( e t i k • t k ) =
1-I s E u k , T k ) = s E o , T), according to Equation 10.
This implies that the TPM is consistent with the multiplicative
similarity function in Equation 10, which embodies the configural
representation assumed by the context model. If we assume that
the probability of choosing the ith group label, G i , for the test
exemplar, T, follows Luce 's (1959) choice rule, then the following
equation obtains
]--[ (e/jk t)
i j G I k
P(G,I13 = (13)
X ~ 1-[ (e0/%)
i i j G i k
Substitute the equality, I1k (eUk- tk) = IIk
s E o k , T k ) = s E e , 1 3 ,
into Equation 13, and we obtain Equation 9.
Empir ically too, Kashima et al. (1998) reported that Smith and
Z~ate's (1990) experimental results on classification learning
were closely reproduced by a computer simulat ion of the TPM. In
Smith and ZArate's experiment, human participants learned to
classify n ine exemplars into categories A and B (five to A and four
to B). Later they were given these nine exemplars and seven new
exemplars to classify into A and B. Figure 2 presents the proba-
bility of classifying the nine old and seven new exemplars to
category A, observed in the experiment (dashed line) and obtained
in the simulation. The simulation results closely followed the
empirical results.
I m p r e s s io n J u d g m e n t
Kashima et al. (1998) pointed out that TPM is compatible with
the weighted averaging model as well. Again, a simplified version
of the proof is provided here. Suppose that participants learn group
labels, i ndividual members, their behavior episodes, and the con-
text in which the episode was observed. We designate the ith
group's label G~ (i = 1 . . . I), the jth person in the ith group Pij (J
= 1 . . . J), the person's kth behavior episode
E o k ,
and the context
in which the episode is observed, X1, (1 = 1 . . . L). Most research-
ers assume that the weighted averaging model can describe group
impression judgments under this circumstance, so that the impres-
sion judgment for the ith group is described as follows:
E 2 w j j k
i k
J G r ) - ,
(14)
j k
where W ~ ,g a n d s i t k designate the weight and scale value of the
stimulus, S i ,y k . T h e relative weight for the stimulus, Srjk, is defined
as
w i v e t Y . j E k w i t k .
According to TPM, the event involving he kth episode of thejth
person in the ith group observed in the lth context is encoded as a
Rank 4 tensor, Etikl = g i ® P t i ® eti l, ® Xl For the ease of
exposition, let us assume that the context remains the same.
Ignoring the attention and forgetting parameters for the time being,
we come to the following memory representation:
M = ZZZ
g l
@ PU @ %k @ X,. (15)
i j k
Substituting Equation 15 into Equation 8 (judgment model) and
simplifying it using Equations 6 and 7, we obtain the following:
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9
K A S H I M A , W O O L C OC K , A N D K A S H I M A
1 . 0
<
Q
L~ 0 8
o
~ 0 . 6
x
e-
o 4
o
o
~ 0 . 2
.1o
0.0
[ : ] Empi r i ca l
S i m u l a t i o n
a l a 2 a 3 a 4 a 5 b l b 2 b 3 b 4 n l n 2 n 3 n 4 n 5 n 6 n 7
F i gur e 2 . The probability o f classifying exemplars into category A , observed in Smith and ZArate (1990), and
the simulation results of the tensor product mo del. Constructed fro m the data reported in Table 3.1 in Kashima
et al. (1998, p. 84). The dashed line reports the observed p robability in the exemplar-only condition of Smith and
ZArate (I 990) and th e solid line represents the prototype + exemplar simulation results, the condition theorized
to be analogous to the exemplar-only cond ition in the empirical study. The positions on the x-axis axe different
exemplars used in the experiment: al to a5 are exemplars to be classified into category A; bl to b4 are exemplars
to be classified into category B; and nl to n7 are new exemplars.
~ (p, , j r)(e~, jk h ) ( x t x )
j k
J (G i , ) = ~ ~ (P i ' J r ) ( e i 'j k h ) ( x t x ) + (pi , j r )(e i , j k l ) ( x t x ) '
j k
( 1 6 )
a s s u m i n g t h a t a l l g r o u p l a b e l r e p r e s e n t a t i o n s , g i , a re d i s t inc t , so
that (gi gi , ) = 0 for a l l i :~ i ' .
L e t u s d e f i n e
a n d
(ei ,jk
h )
s i 'Jk -- (e i , j k . h) -I- (e i , ;k . 1) (17)
Wi'jk
= [(e i , jk h)
+ ( e i , j k
l ) ] ( p i , j r ) ( x l x ) . ( 1 8 )
W h e n E q u a t i o n s 1 7 an d 1 8 a re s u b s t it u t e d i n t o E q u a t i o n 1 6 , w e
o b t a i n E q u a t i o n 1 4 , w h i c h r e p r e s e n t s t h e w e i g h t e d a v e r a g i n g
m o d e l . 5 T h e a s s u m p t i o n t h a t t h e w e i g h t e d a v e r a g i n g m o d e l h o l d s
i n g r o u p i m p r e s s i o n f o r m a t i o n h a s n o t b e e n t e s t e d i n t h e l i t er a t u re .
E q u a t i o n 1 7 s u g g e s t s t h a t t h e s c a l e v a l u e s h o u l d r e m a i n r e l a -
t i v e l y c o n s t a n t r e g a r d l e s s o f t h e c o n t e x t a n d p e r s o n v e c t o r s b e -
c a u s e t h e s c a l e v a l u e , si ,jk, i s a f u n c t i o n o n l y o f t h e s i m i l a r i t i e s o f
t h e e x e m p l a r a n d t h e s c a l e a n c h o r s . B y c o n t r a s t , E q u a t i o n 1 8
s u g g e s t s t h a t t h e w e i g h t , Wi,jk , C a n v a r y a s a f u n c t i o n o f t h e p e r s o n
a n d c o n t e x t r e p r e s e n t a ti o n . I n p a r t i c u l ar , i t i s i m p o r t a n t t o n o t e t h a t
t h e w e i g h t f o r a n e x e m p l a r v a r i e s a s a f u n c t i o n o f ( x • x ) ; t h a t is ,
t h e s i m i l a r i t y b e t w e e n t h e c o n t e x t i n w h i c h t h e e x e m p l a r w a s
l e a r n e d ( x0 a n d t h e c o n t e x t in w h i c h t h e j u d g m e n t i s m a d e ( x ) , a s
w e l l a s a f u n c t i o n o f ( P i 'j r ) , t h a t i s , t h e s i m i l a r i ty b e t w e e n t h e
pe r son r e pre se nta t ion (p i . j ) a nd the r e s t ing s ta te ( r ) . Thi s prope r ty
i s i m p o r t a n t i n e x p l a i n i n g a v a r i e t y o f p h e n o m e n a a s w e s e e l a te r .
G r o u p I m p r e s s io n F o r m a t i o n a n d t h e I n f o r m a t io n
E n v i r o n m e n t
T h e f o r e g o i n g d i s c u s s i o n i m p l i e s th a t , a c c o r d i n g t o T P M , g r o u p
i m p r e s s i o n s b e a r a d y n a m i c r e l a t i o n s h i p w i t h t h e i n f o r m a t i o n
e n v i r o n m e n t . O n c e a n e v e n t - i n - c o n t e x t i s p o s i t i v e l y o r n e g a t i v e l y
e n c o d e d f o r i n s t an c e , i t i s s t o r e d in m e m o r y , a n d g r o u p i m p r e s -
s i o n s a r e c o n s t a n t l y u p d a t e d . T h e r e s u l t a n t r e p r e s e n t a t i o n s a b o u t
s o c i a l g r o u p s c a n q u i t e a c c u r a t e l y r e f l e c t t h e p r o b a b i l i s t i c e n v i -
r o n m e n t W i t h w h i c h t h e c o n n e c t i o n i s t l e a r n i n g s y s t e m i n t e r a c t s .
5 Hogarth and E inho m (1992) proposed a mod el that makes predictions
similar to the current mod el under som e conditions. How ever, it should be
noted that their model cannot account for the results of Smith and Z~rate
(1990). For a discussion about other inadequacies of their model, see
Kashima and Kerekes (1994).
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GROUP IMPRESSIONS AS DYNAMIC CONFIGURATIONS 923
However, the relationship between group impressions and the
probabilistic property of the information environment is rather
complex. TPM predicts that group impressions vary as a function
of both the probability of types of events encoded about a group
and the total amount of information (or number of events) learned
about the group.
To see this, we consider a simple case. Suppose that one event
is learned about a group member and that there are J members of
the group. That is, the number of events observed about the group
is J. Further suppose that, of those J events, the probability of
positive to negative events is p. Under some simplifying assump-
tions, the impression judgment about the group can be written as
follows (see Appendix for proof):
S o + J p s p + J(1 - p ) S n
Jud gme nt = 1 + J ' (19)
where so is the effect of the prior memory and S p a n d s n represent
the scale values of the positive and negative events. Assuming that
s n < s o < S p , Equation 19 implies that when J is constant,
impression judgment is more positive when p is greater, and as J
becomes very large, judgm ent approaches p S p + (1 - p ) s , , , a value
that is a function only of p. Therefore, impression judgments
should reflect the probabilistic property of the information envi-
ronmen t fairly accurately in the long run.6
Equation 19 also implies that impression judgment varies as a
function of the total amount of information, J, when J is relatively
small, even ifp is constant. In particular, i fp > (so - S n ) / S o - - Sn),
judgm ent increases (or becomes more positive) as J increases; if
p > S o - s n ) / S o - sn), judgment decreases (or becomes more
negative) as J increases. This implicat ion obtains because of so, the
effect of the prior memory (see Appendix). In other words, when
the number of positive events learned about a group is large
relative to that of negative events, a group about which social
perceivers know a great deal is more posi tively evaluated than a
group about which they know only a little. Conversely, when the
number of positive events learned about a group is small relative
to that of negative events, a group about which social observers
know a great deal is more negatively evaluated than a group about
which they know only a little.
Both of these implications of TPM are, in fact, consistent with
the distinctiveness-based illusory correlation first identified by
Hamilton and Gifford (1976; also see Hamilton, Dugan, Trolier,
1985), arguably the first experiment that reported about group
impression formation. In their Experiment 1, Hamilton and Gifford
presented 39 behavior episodes performed by individual members
of two groups (A and B). The majority group exhibited 18 positive
and 8 negative behaviors, whereas the minority performed 9 pos-
itive and 4 negat ive behaviors. Although the ratio of positive to
negative behaviors remained constant across the two groups, the
overall impression formed was more positive for the majority than
for the minority group. In their Experiment 2, they showed the
reverse tendency; that is, when more negative than positive be-
haviors were shown, the majority was evaluated more negatively
than the minority. This finding has been replicated in a number of
experiments (see Mull en Johnson, 1990).
This account of the phenomenon differs from that of Hamilton
and Gifford (1976). According to them, the combination of a
minority status and infrequent negative behaviors makes this class
of episodes distinctive. This distinctiveness is analogous to the
pairing of exceptionally long words (e.g., blossoms-notebook) in
Chapman's (1967; also see Chapman Chapman, 1967, 1969)
experiments. Chapman's participants overestimated the frequency
of the occurrence of distinct ive pairings. Likewise, the participants
in Hamilton and Gifford's experiment weighted the infrequent
behaviors more than others, leading to the more negative impres-
sion of the minority group.
More recently, a number of researchers suggested al ternative
explanations. First, Fiedler (1991, 1996; Fiedler Armbruster,
1994; also see Smith, 1991) suggested that info rmat ion loss can
explain the Hamilton-Gifford phenomenon within the BIAS model
framework. Positivi ty of informat ion was represented by a vector,
and another vector perfectly negat ively correlated with it as rep-
resenting negativity. A judgment was modeled by a correlation
between the positivity vector and the sum of all vectors represent-
ing the behavioral information of the majority and minority
groups. Even if the minority and majority groups exhibit the same
level of positivity (or negativity), the magnitude of the correlation
between the vector sum and the positivity vector was greater for
the majority than that for the minority only when some errors were
introduced to the vectors representing the behaviors. This amounts
to a more extreme judgment (either negative or positive) for the
majority than for the minority when errors are present or informa-
tion is lost. Second, McGarty, Haslam, Turner, and Oakes (1993)
suggested that the participants have a preconception about the
relationship between two contrasted groups. The contrast ive rela-
tionship may contribute to the differential evaluations of the
groups.
The robustness of the Hamilton-Gifford phenomenon suggests
that it may be multiply determined (e.g., Berndsen, Spears, Mc-
Garty, van der Pligt, 1998; Mackie, Hamilton, Susskind,
Rosselli, 1996). The TPM framework may provide a possibi lity for
incorporating a number of explanations of the Hamilton-Gifford
phenomenon and evaluating relative contributions of these effects.
To begin, the TPM is not inconsistent with the distinctiveness-
based account and can incorporate it in terms of the attentional
parameter postulated in Equation 8. In addition, if random error
vectors are added to the encoded behaviors in the TPM (as is
routinely clone in simulations), this can produce the condition
simulated by Fiedle r (1996). Finally, as suggested by McGarty et
al. (1993) and Berndsen et al. (1998), it is possible that the process
of different iating the contras ting groups (discussed later in the
Group Differentiation section) may be involved in the process.
Furthermore, research identified a number of limit ing condit ions
of the il lusory correlation phenomenon (Berndsen et al., 1998;
McConnell, Sherman, Hamilton, 1994; McConnell, Sherman,
Hamilton , 1997; Pryor, 1986; Sanbonmatsu, Sherman, Hamil-
ton, 1987; Schaller, 1992; Schaller Maass, 1989). As suggested
6 This statement holds provided that the endpoints of judgment scales
and scaling parameters are the same and the information environment
remains stable at least probabilistically. nterestingly, his implication of
the TPM is broadly in agreement with Gigerenzerand Hoffrage's (1995)
contention hat people's probabilistic udgments are often consistent with
the Bayesian normative criterion when information is presented in fre-
quency rather than in probability. The TPM, l ike other connectionist
models, retains informationabout the frequency of events.
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924 KASHIMA, WOOLCOCK, AND KASHIMA
by Hamilton and Sherman (1996; also Bemdsen et al., 1998), a
theory based on the concept of entitativity (Campbell, 1958), the
extent to which a group is perceived to be a coherent entity, may
provide an integrative explanation of the complex processes in-
volved in the i llusory correlation phenomenon. In the meantime, it
should be noted that the effect of the prior memory, as suggested
by the TPM, may also play some role in generating this robust
phenomenon.
T i m e D e p e n d e n t P r o p e r t i es o f G r o u p I m p r e s s i o n
F o r m a t i o n
Impress ion judgments are time dependent. When a series of
stimuli are presented and a judgment is made, weight given to a
stimulus for the judgment depends on time. The TPM makes
detailed and novel predictions about time dependence of impres-
sion formation, which are explicated here and tested in a later
experiment reported. These predictions are couched in terms of a
serial position weight, which is the weight given to a stimulus that
occupies a certain serial position for a given impression udgment.
When a series of J stimuli (j = 1 to J) is presented and a judgment
is made after the Jth stimulus, the weight given to the jth stimulus
is written as SPW(j, J). For example, SPW(1, 4), SPW(2, 4),
SPW(3, 4), and SPW(4, 4) indicate the serial position weights for
Stimulus 1 through 4 computed based on the judgment made after
the fourth stimulus was presented.
Linearity a nd time invariance. Busemeyer and Myung (1988;
Myung & Busemeyer, 1992) showed that a number of connection-
ist models of category learning can be tested by examining time
dependence of impression formation. Those models include
Metcalfe-E ich's (Eich, 1982) holographic memory model, Hintz-
man's (1986) multiple-trace memory model, Knapp and Ander-
son's (1984) distributed memory model, and McClelland and
Rumelhart's (1985) connectionist model. Smith and DeCoster
(1998a) also used McClelland and Rumelhart's model. In partic-
ular, Busemeyer and Myung showed that prototype estimate,
which is an experimental participant's estimate of the prototype of
a category, can be predicted by these models and rewritten in the
following form:
Prototype estimate after the Jth exemplar = ~ w(j_j) ej, (20)
J
where ej is the jth exemplar (j = 1 . . . J) and w(j_~) is a scalar
weight for the jth exemplar when the prototype estimate is made
after the Jth exemplar is presented. This means that these models
have common properties of linearity and time invariance.7 Lin-
earity implies that the prototype estimate is a linear additive
function of the exemplars. Time invariance means that the weight
for a given exemplar should be constant in so far as, (J - j), the
time interval between the exemplar presentation and the judgment
(operationalized as the number of intervening exemplars) remains
the same. To use the present notation, this implies that SPW(j, J)
is constant when (J - j) i s constant.
By contrast, TPM does not have the time-invariance property,
although it implies linearity under a certain circumstance (see
Kashima & Kerekes, 1994, Kashima et al., 1998). Busemeyer and
Myung 's (1988; Myung & Busemeyer, 1992) empirical studies
showed that human prototype estimates are largely linear but not
time invariant. Although Kashima and Kerekes (1994) showed that
person impression judgments are t ime variable, it is yet to be
examined whether group impression judgments are time variable
or not. Further, a linearity assumption of group impressions has
never been tested directly.
Response dependency.
This means that the weight of a stim-
ulus for a judgme nt depends on whether, and if so when, another
judgment is made between the stimulus and the judgment.
Kashima et al. (Kashima & Kerekes, 1994; Kashima et al., 1998)
suggested that the TPM predicts a response dependency in impres-
sion judgments under some conditions. This prediction rests on
two arguments. First, Equation 18 predicts that the weight for a
given exemplar is a function of the similarity between the learning
and judgment contexts, other things being equal. Therefore, under
the condi tion in which people are expected to interpret the judg-
ment context to be different from the learning context, the exem-
plar will be weighted differently to the condition in which the
judgment context is interpreted to be the same as the learning
context. The greater the similarity between the learning and judg-
ment contexts, the greater should the weight be for an exemplar.
More formally, according to TPM (Equation 18; i.e., ignor ing
the attentional and forgetting parameters), SPW(j , J) can be
described by the following equation under some simplifying as-
sumptions:
x j . x j )
SPW (j, J) - ~] (xj xj )' (21)
J
where xj is the context representation for the jth stimulus and xj is
the context representation for the Jth stimulus. The assumptions
made for this are that the scale value and the stimulus represen-
tation remain constant for all stimuli and that the context for a
judgment after the Jth stimulus is the same as the context for the
Jth stimulus.
Second, it is hypothesized that the act of making a judgment
often prompts people to al ter the context representation. Suppose
that an experimental participant receives a first series of stimuli,
makes a first judgment, receives a second set of stimuli, and then
makes a second judgment. When one task using the first stream of
stimuli is completed by making a judgment, the subsequent stream
of stimul i may be differentiated from the first. This differentiat ion
of the two sets can be represented as a change in context repre-
sentation in TPM (Kashima & Kerekes, 1994, Footnote 5). Martin
(1986) made a similar suggestion in his analysis of assimilation
and contrast effects.
Based on this formulation, two predictions follow. First, the
weight for the jth stimulus for the judgment made after the Jth
stimulus, SPW(j, J), should vary depending on whether another
judgment is made between the jth and Jth stimuli. Suppose that a
series of J st imuli are presented, and a first impression udgment is
made after the Joth stimulus, and a second impression judgme nt is
made after the Jth st imulus is presented. The weights est imated
from the second judgment, SPW(j, J), should increase as a step
funct ion of j, where the increase occurs at the position of Jo
(Prediction 1). This is because the context representation for the
7 Busemeyer and Myung (1988) also discussed noninterference,but we
do not address it because it is not directly elevant o the current discussion.
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GRO UP IMPRESSIONS AS DYNA MIC CONFIGURATIONS 92 5
s t i m u l i b e f o r e t h e f i r s t j u d g m e n t i s e x p e c t e d t o b e l e s s s i m i l a r to
t h e c o n t e x t r e p r e s e n t a ti o n f o r t h e s t i m u l i a f t e r it . P r o v i d e d t h a t t h e
s e r i a l p o s i t i o n w e i g h t i s a f u n c t i o n o f t h e s i m i l a r i t y b e t w e e n t h e
l e a r n i n g a n d j u d g m e n t c o n t e x t s ( E q u a t i o n 2 1 ) , t h e f i rs t s et o f
s t i m u l i s h o u l d b e w e i g h t e d l e s s t h a n t h e s e c o n d s e t .
S e c o n d , t h e s a m e m e c h a n i s m p r e d i c t s t h a t t h e s e r i a l p o s i t i o n
w e i g h t s b e f o r e t h e f i r st j u d g m e n t e s t im a t e d f r o m t h at j u d g m e n t
s h o u l d b e g r e a t e r t h a n t h e w e i g h t s f o r t h e s a m e p o s i t i o n s e s t i -
m a t e d o n t h e b a s i s o f t h e s e c o n d j u d g m e n t ( P r e d i c t i o n 2 ) . T h a t i s ,
S P W f j , J o) > S P W ( j , J ) , w h e r e Jo > J . T h i s is b ec a u s e t h e c o n t e x t
r e p r e s e n t a t i o n f o r t h e f i r s t s e t o f s t i m u l i i s e x p e c t e d t o b e l e s s
s i m i l a r to t h e c o n t e x t f o r t h e s e c o n d j u d g m e n t t h a n t h e c o n t e x t f o r
t h e f i r s t j u d g m e n t ( E q u a t i o n 2 1 ) . A t e s t o f t h e s e p r e d i c ti o n s i s
r e por te d l a te r .
Order ef fect . W h e n t h e r e s p o n s e d e p e n d e n c y i s n o t a n i s s u e ,
a n o r d e r e f f e c t i s a n o t h e r i n s t a n c e o f t i m e d e p e n d e n c y . I f i n f o r -
m a t i o n e n c o u n t e r e d e a r l i e r h a s a g r e a t e r e f f e c t o n a j u d g m e n t t h a n
r e c e n t i n f o r m a t i o n , i t is c a l l e d a p r i m a c y e f f e c t ; a g r e a t e r e f f e c t o f
r e c e n t i n f o r m a t i o n r e l a t i v e t o e a r l i e r i n f o r m a t i o n i s c a l l e d a r e -
c e n c y e f f e c t . H a m i l t o n a n d S h e r m a n ' s ( 1 9 9 6 ) f o r m u l a t i o n s u g g e s t s
t h a t a g r o u p i m p r e s s i o n m a y e x h i b i t a p r i m a c y o r r e c e n c y e f f e c t
d e p e n d i n g o n t h e t a r g e t g r o u p ' s p e r c e i v e d e n t i t a t i v i t y ( s e e M a n i s
& P a s k e w i t z , 1 9 8 7 , f o r s o m e e v i d e n c e ) . W h e n a g r o u p i s h i g h l y
e n t i t a t i v e ( i. e ., a g r o u p i s p e r c e i v e d t o b e a n e n t i t y ) , p e o p l e w o u l d
a t t e m p t t o f o r m a n i n t e g r a t i v e i m p r e s s i o n i n t h e s a m e f a s h i o n a s i n
p e r s o n i m p r e s s i o n f o r m a t i o n . I n p e r s o n i m p r e s s i o n f o r m a t i o n ,
o b s e r v e r s h a v e b e e n p o s t u l a t e d t o d i r e c t a d e c r e a s i n g a m o u n t o f
a t t e n t i o n t o l a t e r s t i m u l i p r e s u m a b l y b e c a u s e t h e l a t e r s t i m u l i a r e
a s s u m e d t o b e r e d u n d a n t ( s e e K a s h i m a & K e r e k e s , 1 9 9 4 , f o r a
r e v i e w ) . T h i s i m p l i e s a p r i m a c y e f f e c t r e s u l t i n g f r o m a t t e n ti o n
d e c r e m e n t w h e n a g r o u p i s p e r c e i v e d t o b e a n e n t i t y .
I n c o n t r a st , w h e n a g r o u p d o e s n o t h a v e a h i g h l e v e l o f e n t it a -
t i v i t y , g r o u p i m p r e s s i o n f o r m a t i o n m a y b e c o n c e p t u a l i z e d a s a
s e r i es o f p e r s o n i m p r e s s i o n f o r m a t i o n . T h i s s u g g e s t s t h a t t h e s a m e
a t t e n t i o n d e c r e m e n t m a y o c c u r f o r e a c h i n d i v i d u a l b e c a u s e t h e
p e r s o n i s p e r c e i v e d t o b e a n e n t i t y . H o w e v e r , w h e n a n e w i n d i -
v i d u a l m e m b e r i s e n c o u n t e r e d , a t t e n t i o n i s r e n e w e d ; t h e r e f o r e , n o
s y s t e m a t i c a t t e n t i o n d e c r e m e n t s h o u l d o c c u r f o r t h e o v e r a l l g r o u p
i m p r e s s i o n . I t i m p l i e s t h a t a r e c e n c y e f f e c t m a y o b t a i n f o r i m p r e s -
s i o n s o f a l o w e n t i t a t i v e g r o u p . T h i s i s b e c a u s e e a r l i e r i n f o r m a t i o n
m a y b e f o r g o t t e n , a n d m o r e r e c e n t i n f o r m a t i o n m a y h a v e a g r e a t e r
i m p a c t i n t h e a b s e n c e o f a t t e n t i o n d e c r e m e n t . T h i s p r o c e s s i s
m o d e l e d i n T P M b y t h e a t t e n t i o n a l a n d f o r g e t t i n g p a r a m e t e r s , a
a n d / 3 ( E q u a t i o n 4 ) . A s a f u n c t i o n o f t h e r e l a t iv e m a g n i t u d e o f t h e
p a r a m e t e r s , a p r i m a c y o r r e c e n c y e f f e c t c o u l d o c c u r ( s e e S t r a n g e ,
S c h w e i , & G e i s e l m a n , 1 9 7 8 , f o r re s u l t s c o n s i s t e n t w i t h t h is r e a -
s o n i n g ) . A n e x p e r i m e n t i s r e p o r t e d , t e s t i n g t h e h y p o t h e s i s t h a t a
r e c e n c y e f f e c t i s l i k e l y t o o c c u r w h e n i m p r e s s i o n s a r e f o r m e d
w h e n g r o u p s a r e n o t e n t i t a t i v e .
E x p e r i m e n t: T i m e D e p e n d e n c y o f
Group Impress ion Format ion
T h i s e x p e r i n a e n t te s t e d t h e t i m e - d e p e n d e n t p r o p e r t i e s o f g r o u p
i m p r e s s i o n f o r m a t i o n p r e d i c t e d b y t h e T P M . A f i c t i t i o u s g r o u p o f
f o u r f r i e n d s s e r v e d a s a t a r g e t g r o u p . E a c h i n d i v i d u a l w a s a t t r i b -
u t e d t w o o p i n i o n s o n s o c i a l i s s u e s r e l e v a n t i n A u s t r a l i a : r e p u b l i -
c a n i s m ( w h e t h e r A u s t r a l i a s h o u l d b e c o m e a r e p u b l i c ) a n d A b o r i g -
i n a l is s u e s ( w h e t h e r A u s t r a l i a n A b o r i g i n a l s s h o u l d r e c e i v e a b e t t e r
t r e a tm e n t ) . T h i s p r o v i d e s a n e x p e r i m e n t a l c o n d i t i o n c o m p a r a b l e t o
D r e b e n , F i s k e , a n d H a s t i e ' s ( 1 9 7 9 ) p e r s o n i m p r e s s i o n f o r m a t i o n
e x p e r i m e n t , i n w h i c h a p e r s o n w a s d e s c r i b e d b y f o u r s e ts o f t w o
b e h a v i o r e p i s o d e s . P a r ti c i p a n t s w e r e t o l d t o f o r m a n i m p r e s s i o n o f
t h e g r o u p a n d m a d e t h e i r j u d g m e n t s o n t h e g r o u p ' s o p i n i o n o n
A b o r i g i n a l i s s u e s i n f i v e d i ff e r e n t j u d g m e n t c o n d i t i o n s . I n t h e f i n a l
r e s p o n d i n g c o n d i t i o n , a l l o p i n i o n s t a t e m e n t s w e r e p r e s e n t e d f i r s t ,
a n d a j u d g m e n t w a s m a d e . I n t h e c o n t i n u o u s - r e s p o n d i n g c o n d i t i o n ,
a j u d g m e n t w a s m a d e a f t e r e a c h i n d i v i d u a l . I n t h e o t h e r t h r e e
c o n d i t i o n s , j u d g m e n t s w e r e m a d e t w i c e . I n t h e ( 1 , 4 ) , ( 2 , 4 ) , a n d
( 3 , 4 ) c o n d i t i o n s , a j u d g m e n t w a s f i r s t m a d e a f t e r t h e f i r st , s e c o n d ,
o r t h i r d p e r s o n , r e s p e c t i v e l y , a n d a l s o a f t e r t h e f o u r t h p e r s o n .
T h i s d e s i g n a l l o w e d u s t o t e s t t h e T P M a s s u m p t i o n t h a t a n
i m p l i c a t i o n o f a b e h a v i o r e p i s o d e c o n s t i t u t e s p a r t o f t h e r e p r e s e n -
t a t i o n o f a n e n c o d e d e v e n t . E a c h s t i m u l u s i n d i v i d u a l e x p r e s s e d a n
o p i n i o n a b o u t A b o r i g i n a l i s s u e s a s w e l l a s a n o p i n i o n o n r e p u b l i -
c a n i s m , w h i c h i s c l e a r l y a n i s s u e d i s t i n c t f r o m b u t r e l a t e d t o
A b o r i g i n a l i s s u e s a c c o r d i n g t o a p r e te s t . R e p u b l i c a n i s m i s a s t a n c e
a b o u t t h e c o n s t i t u t io n a l s t a t u s o f A u s t r a l i a a s a n a t io n . C u r r e n t l y ,
t h e h e a d o f t h e s t a t e o f A u s t r a l i a i s t h e B r i t i s h q u e e n . H o w e v e r ,
r e p u b l i c a n s t a k e t h e v i e w t h a t A u s t r a l i a s h o u l d b e c o m e a r e p u b l i c .
A u s t r a l i a n s t u d e n t s t e n d t o b e l i e v e t h a t a s y m p a t h e t i c s t a n c e t o
A b o r i g i n a l s a n d a r e p u b l i c a n s t a n c e g o t o g e t h e r , p r e s u m a b l y b e -
c a u s e t h e y e x p r e s s a l i b e r a l a t t i t u d e . O n e h a l f o f t h e s t i m u l u s
g r o u p s c o n s i s t e d o f i n d i v i d u a l s w h o e x p r e s s e d p r o - r e p u b l i c a n
o p i n i o n s , a n d t h e o t h e r h a l f e x p r e s s e d a l l a n t i - r e p u b l i c a n o p i n i o n s .
I f t h e i m p l i c a t i o n o f a n o p i n i o n o n r e p u b l i c a n i s m i s e n c o d e d , t h i s
s h o u l d h a v e a n e f f e c t o n t h e o v e r a l l i m p r e s s i o n a b o u t t h e g r o u p ' s
o p i n i o n o n A b o r i g i n a l i s s u e s .
M e t h o d
Participants.
Eighty (24 male, 56 female) undergraduate students at La
Trobe University participated in this experiment for AUD5 per hour.
Design.
Five response conditions were constructed. In the final re-
sponding cond ition, participants w ere given attitude statements purportedly
made by four members of a group and made an impression judgment after
the fourth stimulus person. In the sequential responding condition, a
participant made an impression judgment after each group member. In the
other three conditions, two judgments were requested: after the first and
fourth members in the (1,4) condition; after the second and fourth members
in the (2,4) condition; and after the third and fourth mem bers in the (3,4)
condition. Sixteen participants were randomly assigned to each condition.
Stimulus. To construct stimulus groups, 60 attitudinal statements (30
favoring and 30 opposing) on each of the republican and the Aboriginal
issues were written. These issues were chosen because a pilot study (N =
20) showed that they were perceiv ed to be related to each other in that
those wh o are in favor of Australia becoming a republic w ere perceived to
be likely more sympathetic to Aboriginals. In a separate pilot study, 40
participants drawn from the same pool as those who participated in the
main experiment were asked to jud ge whether the statements favors or
opposes Australia becoming a republic or favors or opposes Aboriginal
people receivin g a better treatment on an 11-point scale (0 = opposes,
10 =
favors .
Fou r statements with highest (M > 7.5; e.g., Any one who
denies the Aboriginal population the chance to retain som e of their land is
being racist and immoral ) and fou r statements with lowest (M < 2.5; e.g.,
Aborigines are basically unemployable because they are all lazy and
disruptive ) mean scale values were selected.
Each participant was shown 64 groups of stimulus individuals in total
(presented in a random order for each participant), of which 32 groups w ere
crucial to the experiment. The o ther 32 groups served as fillers to mask the
repetitive nature o f judgments about the crucial groups. Each group was
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9 2 6 K A S H I M A , W O O L C O C K , A N D K A S H I M A
said to consis t o f four Mends whose op in ions on two socia l i ssues were
presen ted . One i ssue wa s a ta rget i ssue (Aborig inal issue; whether Abo rig-
inal people should receive a bet ter t rea tment ) and the o ther i ssue was a
re la ted i ssue (republ ican i ssue; whether Aus t ra l ia should become a repu b-
l ic) . The 32 s t imulus groups w ere const ructed so tha t they embodied f ive
wi th in-part ic ipant fac tors ( two levels in each): g rou p 's op in ion on the
related issue (high vs. low on republican issue), first , second, third, and
fourth mem bers ' op in ion on the target i ssue (h igh vs. low o n the Aborig inal
i ssue), where h igh mean s favorab le to Aust ra l ia becom ing a republ ic and
sympathetic to Aboriginals.
In hal f o f the 32 s t imulus groups, a l l mem bers expressed h igh opin ions
on the republ ican i ssue , and in the o ther ha l f , a l l mem bers had low
opin ions. On the A borig inals i ssue , the m emb ers ' op in ions varied in
accordance wi th the fac toria l design (e .g ., HHHH , H HHL, HHLH). How -
ever, to ensure tha t a l l four d i fferen t h igh s ta tements and low sta tements
appear a t each posi t ion equal ly frequent ly wi th in an experimenta l condi -
t ion , Anders on 's (1973; a l so see Kashim a & Kerekes, 1994) design was
used . Fi rs t , four h igh and low sta tements were each randomly numbered
from 1 to 4 . In St imulus Set 1 , s ta tements were ordered from Nu mbe r 1 to
Num ber 4 in a l l g roups. In o ther s t imulus se ts (Sets 2 th rough 4) , the order
of s ta tements was varied accord ing to the Lat in square design (4 , l , 2 , 3 ; 3 ,
4 , l , 2 ; and 2 , 3 , 4 , 1 ) . Four part ic ipants were random ly assigned to each
st imulus se t in each response condi t ion . Each group m em ber ' s op in ion on
the republ ican i ssue was a lways presen ted f i rs t , fo l lowed by an op in ion on
the target Abo rig inal i ssue .
This design a lso perm i t ted an est imat ion of seria l posi t ion weights, on
wh i c h t h e mo s t TPM p re d i c t i o n s we re b a se d . R e c a l l t h e n o t a t i o n ,
SPW (j , J ) , wh i c h re fer s t o t h e we i g h t fo r t h e j t h s t imu l u s fo r t h e j u d g me n t
made after the J th s t imulus. The est imat ion procedure was as fo l lows. Fi rst ,
we summ ed the judgm ents after the J th s t imulus for a l l the sequences of
s t imul i whose j th s t imulus person expressed a pos i t ive a tt i tude toward the
issue and then summed the judgments after the J th s t imulus for a l l the
sequences of s t imul i whose j th s t imulus person expressed a neg at ive
at t i tude toward the i ssue . F inal ly , the second sum was subt rac ted from the
fi rs t sum. The d i fference score sho uld be a l inear funct ion of SPW (j , J ) .
For the ra t ionale of th i s method , see Anderson (1973) and Kashima and
Kerekes (1994).
Procedure. Part ic ipants were gree ted by a male experimenter and
show n to a computer . After the experimen ter ensured the part ic ipants '
fami l iar i ty wi th the equipment , a l l the inst ruct ions were g iven on the
screen . Th e inst ruct ions in formed that the experim ent was concern ed wi th
h o w p e o p l e fo rm i mp re ss i o n s a b o u t g ro u p s a n d wo u l d b e sh o wn ma n y
groups of fr iends w ho express various op in ions about socia l i ssues. Fi rs t ,
they were asked to express the i r own opin ions on various socia l i ssues,
inc lud ing the republ ican and A borig inal i ssues using 11-poin t sca les (0 =
opposes,
10 =
favors . The
mean scores were 7 .8 and 7 .4 , ind ica t ing
genera l ly l ibera l a t ti tudes. A pract ice session was then presen ted , in wh ich
the part ic ipants were shown a series of four s ta tements a t t r ibu ted to four
d i fferen t ind iv iduals and asked to make judgm ents abou t the groups on the
same 11-poin t sca le regard ing socia l i ssues such as the republ ican ism and
Aborig inal i ssues. Each s ta tement was presen ted for 7 s , and judgm ents
were se l f-paced. The schedule by which judgm ents were requested was the
same as in the m ain experiment . After the prac t ice session , the part ic ipants
were prom pted for questions. No quest ions were asked . The m ain exper-
iment then began . Judgments about the target Aborig inal issue were m ade
on the 11-point scale (0 = opposes, 10 = favors . The experim ent las ted 50
to 70 min . P art ic ipants were thanke d and debriefed .
Simulation proced ures. Ident ica l experimenta l condi t ions were s imu-
la ted using Mathemat ica on a Si l icon Graphics Indy Worksta t ion . The
at ten t ion parameter a was se t a t 1 for the f i rs t s t imulus and .8 for a second
st imulus for each person . The forget t ing parameter/3 was se t a t .95 . For
each condi t ion , 16 s imula t ions were run , and the est imates of seria l
posi t ion weights were com puted based on these s imula t ions (see Appendix
for details).
R e s u l t s
Additivity. T o t e s t th e a d d i t i v i ty o f t h e i m p r e s s i o n j u d g m e n t s ,
a f iv e - w a y f a c t o r i a l a n a l y s i s o f v a r i a n c e ( A N O V A ) w a s c o n d u c t e d
o n t h e o v e r a l l i m p r e s s i o n j u d g m e n t f o r t h e f i n a l r e s p o n d i n g c o n -
d i t i o n . F i v e w i t h i n - p a r t i c i p a n t s f a c t o r s w e r e r e l a t e d a t t i t u d e ( h i g h
v s . l o w ) , P o s i t i o n 1 ( h i g h v s. l o w ) , P o s i t i o n 2 ( h i g h v s . l o w ) ,
P o s i t i o n 3 ( h i g h v s . lo w ) , a n d P o s i t io n 4 ( h i g h v s . l o w ) . T h e T P M
p r e d i c t s a s i g n i f i c a n t m a i n e f f e c t f o r e a c h o f t h e f i v e w i t h i n -
p a r t i c i p a n t s f a c t o r s b u t n o i n t e r a c t i o n e f f e c t s . A s p r e d i c t e d , t h e
f i v e m a i n e f f e c t s w e r e s i g n i f i c a n t , F ( 1 , 1 5 ) = 9 . 3 7 , 8 8 . 5 9 , 1 5 4 . 6 4 ,
3 4 5 . 1 9 , a n d 1 4 1 . 1 3 , a l l p s < . 0 1 , f o r r e l a t e d a t t i tu d e , P o s i t i o n 1 ,
P o s i t i o n 2 , P o s i t i o n 3 , a n d P o s i t i o n 4 , r e s p e c t i v e l y . N o i n t e r a c t i o n
e f f e c t s w e r e s i g n i f i c a n t . T h e s i z e o f th e a d d i t i v e e f f e c t s w a s
s u b s t a n t i a l ( 7 2 % o f t h e t o t a l v a r i a n c e ) , a n d t h e i n t e r a c t i o n e f f e c t s
w e r e r e l a ti v e l y m i n o r ( l e ss t h a n 2 % ) .
Overal l pat terns o f ser ia l pos i t ion weights . S P W ( 1 , 4 ) t h r o u g h
S P W ( 4 , 4 ) w e r e c o m p u t e d s e p a r a t e l y f o r t h e c o n d i t io n s i n w h i c h
r e l a t e d a t ti t u d e s t a t e m e n t s w e r e h i g h o r l o w . A R e l a t e d A t t i t u d e
( h i g h v s . l o w ) x P o s i t i o n ( P o s i t i o n I to 4 ) A N O V A w a s c o n d u c t e d
o n t h e s e e s t i m a t e d w e i g h t s f o r e a c h r e s p o n s e c o n d i t i o n . N o n e o f
t h e m a i n a n d i n t e r a c t i o n e f f e c t s i n v o l v i n g r e l a t e d a t t i t u d e w a s
s i g n i f i c a n t ( F < 1 . 2 0) . T h e s e r i a l p o s i t i o n w e i g h t s w e r e t h e n
c o m p u t e d b y a v e r a g i n g a c r o s s t h e j u d g m e n t s f o r t h e h i g h a n d l o w
r e l a t e d a t t i t u d e c o n d i t i o n s . A l l s u b s e q u e n t a n a l y s e s a r e b a s e d o n
t h i s m e a s u r e . T h e m e a n s f r o m t h e s i m u l a t i o n a r e r e p o r t e d i n
F i g u r e 3 , w h i c h c o n s t i t u t e t h e o r e ti c a l p r e d ic t i o n s, a n d c o m p a r a b l e
m e a n s f o r th e h u m a n j u d g m e n t s a r e r e p o r t e d i n F i g u r e 4 . T h e
h u m a n a n d s i m u l a t i o n r e su l t s w e r e s i m i l a r , a s s e e n f r o m t h e
f i g ur e s . T h e c o r r e l a t i o n b e t w e e n t h e h u m a n d a t a a n d s i m u l a t e d
r e s u l t s w a s . 8 8 o v e r a l l a n d . 9 0 , . 8 7 , . 9 9 , . 9 6 , a n d . 7 9 f o r t h e f i n a l
r e s p o n d i n g , c o n t i n u o u s r e s p o n d i n g , ( 1 , 4 ) , ( 2 , 4 ) , a n d ( 3 , 4 ) c o n -
d i t i o n s , r e s p e c t i v e l y .
Tim e variabili ty. A t e s t o f ti m e v a r i a b i l i ty w a s c o n d u c t e d f o r
t h e c o n t i n u o u s - r e s p o n d i n g c o n d i t i o n f i rs t . I f t h e g r o u p i m p r e s s i o n
j u d g m e n t s w e r e t i m e i n v a r i a n t , t h e r e s h o u l d b e n o d i f f e r e n c e
a m o n g S P W ( 1 , 1 ), S P W ( 2 , 2 ) , S P W ( 3 , 3 ) , a n d S P W ( 4 , 4 ) . T h i s i s
b e c a u s e t h e s e s e r i a l p o s i t i o n w e i g h t s a r e f o r t h e s t i m u l u s i m m e -
d i a t e l y p r e c e d i n g t h e j u d g m e n t ( i .e . , th e r e i s n o d i f f e r e n c e i n t i m e
l a g ) ; t i m e i n v a r i a n c e p r e d i c t s t h a t t h e s e r i a l p o s i t i o n w e i g h t s
s h o u l d n o t d i f f e r . H o w e v e r , a s s e e n i n P a n e l B , F i g u r e 3 , T P M
p r e d i c ts s o m e t i m e v a r i a bi l it y . A r e p e a t e d m e a s u r e s A N O V A o n
t h e s e r i a l p o s i t i o n w e i g h t s f r o m t h e h u m a n d a t a y i e l d e d a r e l ia b l e
l i n e a r t r e n d , F ( 1 , 4 5 ) = 5 . 7 1 , p < . 0 5 , s u g g e s t i n g t im e v a r i a b i l i t y
o f g r o u p i m p r e s s i o n j u d g m e n t s .
A c o m p a r a b l e t e s t o f t i m e v a r i a b i l it y w a s c o n d u c t e d u s i n g t h e
s e r i a l p o s i t i o n w e i g h t s f o r t h e ( 1 , 4 ) , ( 2 , 4 ) , ( 3 , 4 ) , a n d f i n a l
r e s p o n d i n g c o n d i t i o n s . I n p a r t i c u l a r , S P W ( 1 , 1 ) f r o m t h e ( 1 , 4 )
c o n d i t io n , S P W ( 2 , 2 ) f r o m t h e ( 2, 4 ) c o n d i t io n , S P W ( 3 , 3 ) f r o m t h e
( 3 , 4) c o n d i t i o n , a n d S P W ( 4 , 4 ) f r o m t h e f i n a l r e s p o n d i n g c o n d i -
t i o n w e r e c o m p a r e d . N o t e t h a t a l l t h e s e s e r i a l p o s i t i o n w e i g h t s
i n d i c a te t h e w e i g h t s g i v e n f o r t h e s t i m u l u s t h a t i m m e d i a t e l y p r e -
c e d e s j u d g m e n t s . G i v e n t h a t th e r e i s n o d i f f e r e n c e i n t i m e l a g, t i m e
i n v a r i a n c e p r e d i c t s n o d i f f e r e n c e a m o n g t h e m , w h e r e a s T P M p r e -
d i c ts d i ff e r e n c e . A o n e - w a y A N O V A r e v e a l e d a s i g n i fi c a n t l i n e a r
t r e n d , F ( 1 , 6 0 ) = 5 0 . 8 3 , p < . 0 0 1 , s u p p o r t i n g T P M .
Re s pons e de pe nde nc y . T o i l l u s t r a t e r e s p o n s e d e p e n d e n c y , i t i s
m o s t i n f o r m a t i v e t o e x a m i n e t h e f i n a l a n d c o n t i n u o u s - r e s p o n d i n g
c o n d i t i o n s f i r s t . I n t h e f i n a l r e s p o n d i n g c o n d i t i o n , i n w h i c h o n l y
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G R O U P I M P R E SS I O N S A S D Y N A M I C C O N F I G U R A T IO N S 9 2 7
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S e r i a l P o s i t i o n
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O 1 s t p e rs o n
2nd pe rson
3 rd pe rson
4th person
Figure 3 The m e a n s o f t h e s e r i a l p o s i ti o n w e i g h t s b a s e d o n t h e s i m u l a t i o n o f t h e t e n s o r p r o d u c t m o d e l i n t h e
f i na l , s e que n t i a l , 1 , 4 ) , 2 , 4 ) , a nd 3 , 4 ) c ond i t i ons .
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928 K A S H I M A , W O O L C O C K , A N D K A S H I M A
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F i g u r e 4 T h e m e a n s o f t h e s e r i a l p o s i t i o n w e i g h t s i n t h e f in a l , s e q u e n t i a l , 1 , 4 ) , 2 , 4 ) , a n d 3 , 4 ) c o n d i t i o n s .
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GROUP IMPRESSIONS AS DYNAM IC CONFIGURATIONS 92 9
o n e j u d g m e n t w a s m a d e , t h e r e s h o u l d b e n o e f f ec t o f p r i o r r e-
s p o n s e s . T h e r e f o r e , o n l y e f f e c t s o f a t t e n t i o n a n d f o r g e t t i n g ( c~ a n d
/ 3 i n E q u a t i o n 4 ) a r e e x p e c t e d . T h e s e r i a l p o s i t i o n w e i g h t s h e r e a r e
e x p e c t e d t o b e s m o o t h a s s e e n i n P a n e l A o f F i g u r e 3 ( s i m u l a t i o n ) .
B y c o n t r a s t, i n t h e c o n t i n u o u s - r e s p o n d i n g c o n d i t i o n , i n w h i c h a
j u d g m e n t w a s m a d e a f te r e a c h s t i m u l u s p e r s o n , th e s e r i a l p o s it i o n
w e i g h t s a r e e x p e c t e d t o c h a n g e r a d i c a l l y . E x a m i n e t h e s h a p e o f
c o n n e c t e d p o i n t s f o r P a n e l B i n F i g u r e 3 . T h e r e i s a s t r o n g u p w a r d
s w i n g i n e a c h l i n e . T h i s i s e x p e c t e d b e c a u s e t h e s t i m u l u s a s s o c i -
a t e d w i t h t h e c o n t e x t f o r a j u d g m e n t ( i . e. , t h e m o s t r e c e n t s t i m u l u s
i n t h e c o n t i n u o u s c o n d i t i o n ) s h o u l d h a v e t h e g r e a t e s t w e i g h t , o t h e r
t h i n g s b e i n g e q u a l ( E q u a t i o n 2 1 ) .
G e n e r a l l y , T P M s u g g e s t s t h a t t h e s e r ia l p o s i t i o n w e i g h t s s h o u l d
d e p e n d o n t h e s c h e d u l e o f i m p r e s s i o n j u d g m e n t s . I n p a r t i c u l a r , t h e
e s t i m a t e d w e i g h t f o r a g i v e n s e r i a l p o s i t i o n s h o u l d c h a n g e w h e n a
j u d g m e n t h a s b e e n m a d e b e f o r e t h a t p o s i t i o n re l a t i v e to t h e c o n -
d i t i o n in w h i c h n o j u d g m e n t h a s b e e n m a d e . T h i s i m p l i e s t h at t h e
s e r i a l p o s i t i o n w e i g h t s s h o u l d v a r y a s a f u n c t i o n o f t h e r e s p o n s e
c o n d i t io n . A P o s i t i o n ( 1 - 4 ) × R e s p o n s e c o n d i t i o n (5 c o n d i t i on s )
A N ~ ) V A o n S P W ( 1 , 4 ) t h r o u g h S P W ( 4 , 4 ) y i e l d e d th e p r e d ic t e d
i n t e r a c t i o n o f p o s i t i o n a n d r e s p o n s e c o n d i t i o n , F ( 1 2 , 2 2 5 ) = 2 . 8 2 ,
p < .01.
T P M m a k e s m o r e d e t a i l e d p r e d i c t i o n s . F i r s t , w h e n a n i m p r e s -
s i o n j u d g m e n t i s m a d e t w i c e , t h e w e i g h ts e s t i m a t e d f r o m t h e
s e c o n d j u d g m e n t s h o u l d i n c r e a s e a s a s t e p f u n c t i o n o f s e r i a l
p o s i t i o n w h e r e t h e i n c r e a s e o c c u r s a t t h e p o s i t i o n o f t h e f i r s t
j u d g m e n t ( P r e d i ct i o n 1 ). A n e x a m i n a t i o n o f S P W ( I , 4 ) t h r o u g h
S P W ( 4 , 4 ) o f t h e s i m u l a t i o n re s u l t s ( s e e F i g u r e 3 ) v e r i f i e s t h i s
p r e d i c t i o n . N o t e t h a t i n t h e ( 1 , 4 ) c o n d i t i o n ( P a n e l C ) , S P W ( 1 , 4 )
i n c r e a s e s t o S P W ( 2 , 4 ) , a n d t h e r e s t i s r e la t i v e l y s t a b le t o S P W ( 4 ,
4 ) ; i n th e ( 2 , 4 ) c o n d i t i o n ( P a n e l D ) , S P W ( 1 , 4 ) a n d S P W ( 2 , 4 ) a r e
s i m i l a r , a n d t h e n t h e w e i g h t i n c r e a s e s t o S P W ( 3 , 4 ) a n d S P W ( 4 , 4 ) ;
a n d i n t h e ( 3 , 4 ) c o n d i t i o n ( P a n e l E ) , S P W ( 1 , 4 ) t h r o u g h S P W ( 3 ,
4 ) r e m a i n r e l a t iv e l y s t a b le , a n d t h e n j u m p s t o S P W ( 4 , 4 ) . T a b l e 1
s u m m a r i z e s e x p e c t ed p a t te r n s a n d t h e c o r r e s p o n d i n g r e s ul t s f r o m
t h e h u m a n p a r t i c i p a n t s . G e n e r a l l y , th e e x p e c t a t i o n s w e r e
s u p p o r t e d .
S e c o n d , w h e n i m p r e s s i o n j u d g m e n t s a r e m a d e t w i c e , t h e s e r i a l
p o s i t i o n w e i g h t s b e f o r e t h e f i r s t j u d g m e n t e s t i m a t e d f r o m t h a t
j u d g m e n t s h o u l d b e g r e a t e r t h a n t h o s e s e r i a l p o s i t i o n s e s t i m a t e d
f r o m t h e s e c o n d j u d g m e n t ( P r e d i c t i o n 2 ) . F o r i n s t a n c e , i n t h e ( 1 , 4 )
c o n d i t i o n , t h e w e i g h t f o r t h e f i r s t s e r i a l p o s i t i o n e s t i m a t e d f r o m t h e
f i r s t j u d g m e n t , S P W ( 1 , 1 ), w a s e x p e c t e d t o b e g r e a t e r t h a n t h e
w e i g h t f o r t h e s a m e p o s i t i o n e st i m a t e d f r o m t h e s e c o n d j u d g m e n t ,
S P W ( 1 , 4 ) ; s i m i l a r l y , f o r t h e ( 2 , 4 ) c o n d i t i o n , S P W ( 1 , 2 ) a n d
S P W ( 2 , 2 ) w e r e e x p e c t e d to b e g r e a t e r t h a n S P W ( 1 , 4 ) a n d S P W ( 2 ,
4 ) ; a n d f o r t h e (3 , 4 ) c o n d i t i o n , S P W ( 1 , 3 ) , S P W ( 2 , 3 ) , a n d S P W ( 3 ,
3 ) w e r e e x p e c t e d t o b e g r e a t e r t h a n S P W ( 1 , 4 ) , S P W ( 2 , 4 ) , a n d
S P W ( 3 , 4 ) ( s e e F i g u r e 3 ) . A l l e x p e c t a t i o n s w e r e b o r n e o u t b y t h e
da ta ( see Tab le 1 ) .
Order effects. A s d i s c u s s e d , r e c e n c y e f f e c t s a r e e x p e c t e d i n
t h e p r e s e n t e x p e r i m e n t w h e n t h e c o n s i d e r a t i o n o f r es p o n s e d e p e n -
d e n c y i s n o t r e l e v a n t . I n p a r t i c u l a r , a w e a k t o m o d e r a t e r e c e n c y
e f f e c t i s e x p e c t e d b e c a u s e o f m e m o r y d e c a y f o r t h e s t i m u l i w h o s e
c o n t e x t i s t h e s a m e a s t h e j u d g m e n t c o n t e x t ( i . e ., w h e n t h e r e i s n o
i n t e r v e n i n g j u d g m e n t ) . W h e n t h e j u d g m e n t a n d t h e s t i m u l u s c o n -
t e x t s d i f f e r , h o w e v e r , t h e e f f e c t o f t h e c o n t e x t d i f f e r e n c e m a y
o v e r r i d e t h a t o f t h e m e m o r y d e c a y . T h e r e f o r e , a r e c e n c y e f f e c t
s h o u l d b e o b s e r v a b l e i n w h i c h s t i m u l i s h a r e t h e s a m e c o n t e x t
r e p r e s en t a t io n a s t h e j u d g m e n t b u t n o t i n w h i c h t h e y h a v e d i f f e r e n t
c o n t e x t r e p r e s e n t a t i o n s . A s e r i e s o f p l a n n e d c o n t r a s t s g e n e r a l l y
s u p p o r t e d t h e e x p e c t a t i o n ( T a b l e 2 ) .
Discuss ion
T h e h u m a n ju d g m e n t s w e r e c o n s i s t e n t w i t h t h e T P M p r e d ic -
t i o ns . A l t h o u g h t h e c h a n g e s i n t h e h u m a n d a t a ( s e e F i g u r e 4 ) s e e m
s o m e w h a t s h a r p e r t h a n t h o s e i n t h e s i m u l a t i o n s ( s ee F i g u r e 3 ) , t h i s
i s b e c a u s e c o n t e x t v e c t o r s w e r e r a n d o m l y g e n e r a t e d . I t is p o s s i b l e
t o g e n e r a t e c o n t e x t v e c t o r s s o t h a t t h e p s y c h o l o g i c a l d i s t i n c t i o n
b e t w e e n p r e - a n d p o s t j u d g m e n t i s m o r e p r o n o u n c e d . T h i s w o u l d
h a v e p r o d u c e d s h a r p e r c h a n g e s a s o b s e r v e d i n th e h u m a n d a t a . A l l
i n a l l , t h e h i g h c o r r e l a t i o n b e t w e e n t h e h u m a n a n d s i m u l a t i o n
r e s u l t s ( . 8 8 o v e r a l l ) i s i m p r e s s i v e g i v e n t h a t n o p a r a m e t e r f i t t i n g
w a s p e r f o r m e d .
F u r t h e r m o r e , o t h e r T P M p r e d i c t i o n s w e r e a l s o s u p p o r t e d . H u -
m a n g r o u p i m p r e s s i o n j u d g m e n t s t e n d t o b e a p p r o x i m a t e ly a d d i -
t i v e u n d e r t h e f i n a l r e s p o n d i n g c o n d i t i o n a s a n u m b e r o f r e s e a r c h -
T a b l e 1
Tests of Response Dependency: Expected Patterns of the Serial Position W eights SPW)
fo r the 1, 4), 2, 4), and 3, 4) Respon ding Conditions
Conditiona Predictionb Hypothesis testedc F(1, 15)
(1, 4) 1
2
(2, 4) l
2
(3, 4) 1
2
SPW (1, 4) vs. SPW (2, 4), SPW (3, 4), SPW (4, 4) 14.27
SPW (1, 1) vs. SPW (1, 4) 69.32*
SPW (1, 4), SPW (2, 4) vs. SPW (3, 4), SPW (4, 4) 8.64*
SPW (I, 2), SPW (2, 2) vs. SPW (1, 4), SPW (2, 4) 37.62*
SPW (I, 4) , SPW(2, 4), SPW(3, 4) vs. SPW(4, 4) 12.13
SPW (1, 3), SPW (2, 3), SPW (3, 3) vs. SPW (1, 4), SPW (2, 4), SPW(3, 4) 16. 56
a Response conditions: (1, 4) indicates that judgments were m ade after the first and fourth stimulus person; (2,
4) indicates judgm ents after the second and fourth stim ulus person; and (3, 4) indicates judgments after the third
and fourth stimulus person.
b Predictions are based o n tensor product m odel: Prediction 1 means that a serial position weight li ne increases
as a step function; Prediction 2 means that the weight estimated for a given position based on a first judgment
is greater than the weight for the same position estimated from a second judgment.
c Planned contrast: Contrast w eights were set so that th e su m of the contrast weights for the left-hand side and
the sum of the contrast weights for the right-hand side are both unity.
* p < .01.
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9 3 0 K A S H IM A , W O O L C O C K , A N D K A S H I M A
T a b l e 2
Recency Effects for the Stimuli That Share the Same Stimulus and Judgment Context
and Those That Do Not Share the Same Context
Context Condition Serial position weights
L i n e a r ~ e n d
F(1, 15)
ame a
Differentb
Final SPW(1, 4) - SPW(4, 4)
(1, 4) SPW(2, 4) - SPW(4, 4)
(2, 4) SPW (1, 2) - SPW (2, 2)
SPW(3, 4) - SPW(4, 4)
(3, 4) SPW (1, 3) - SPW (3, 3)
Sequential SPW (1, 3) - SPW (2, 3)
SPW(1, 4) - SPW(3, 4)
(2, 4) SPW(1, 4) - SPW(2, 4)
(3, 4) SPW (1, 4) - SPW (3, 4)
3.92
5.70
.53
4.99
6.18
.74
.74
.32
.25
a The judgm ent and stimulus contexts are expected to be the same.
b The judg m ent and stimulus contexts are expected to b e different.
P
.066
.031
.476
.041
.025
.403
.403
.577
.623
e r s r e p o r t e d i n t h e p e r s o n i m p r e s s i o n j u d g m e n t ( e .g . , A n d e r s o n ,
1 9 8 1 ). T h e r e i s a v a r i e t y o f t i m e - d e p e n d e n t p r o p e r t i e s i n g r o u p
i m p r e s s i o n j u d g m e n t s a s p r e di c t e d b y T P M . T e m p o r a l d y n a m i c s
o f i m p r e s s i o n f o r m a t i o n h a v e b e e n c l a s s i f i e d i n t o t w o g e n e r a l
t y p e s , p r i m a c y a n d r e c e n c y , b u t t h i s s i m p l e c l a s s i f i c a ti o n m a s k s i t s
c o m p l e x i ty . S m a l l r e c e n c y e f f ec t s f r o m m e m o r y d e c a y a s w e l l a s
l a r g e o n e s f r o m r e s p o n s e d e p e n d e n c y ( i . e . , c h a n g e i n c o n t e x t
r e p r e s e n t a t i o n ) m a y o c c u r i n i m p r e s s i o n f o r m a t i o n .
E v o l u t i o n o f G r o u p I m p r e s s io n
O n c e f o r m e d , g r o u p i m p r e s s i o n s h a v e o f t e n b e e n a s s u m e d t o
p e r s i s t. T h e s t a t ic s c h e m a c o n c e p t a n d L i p p m a n n ' s ( 1 9 2 2 ) p i c t u r e
i n th e h e a d m e t a p h o r o f s te r e o t y p e s s e e m t o s u g g e s t t h e d u r a b i l i t y
o f i m p r e s s i o n s a b o u t s o c i a l g r o u p s . A l t h o u g h t h e p r o c e s s o f i m -
p r e s s i o n c h a n g e h a s b e e n a l o n g - s t a n d i n g c o n c e r n ( e . g . , A l l p o r t ' s ,
1 9 5 4 , c o n t a c t h y p o t h e s i s ; s e e P e t t ig r e w , 1 9 9 8 ) , R o t h b a r t w a s w e l l
j u s t i f ie d i n c o m m e n t i n g i n 1 9 81 t h a t a l t h o u gh a n u n d e r s t a n d i n g
o f h o w b e l ie f s c a n b e d i s c o n f i rm e d i s f u n d a m e n t a l fo r t h e d e v e l -
o p m e n t o f a n a d e q u a t e t h e o r y o f b e l i e f s , w e k n o w v e r y l i t tl e a b o u t
th is p rob lem (p . 176) .
S i n c e t h en , a n u m b e r o f s t u d ie s h a v e b e e n c o n d u c t e d t o e x a m i n e
h o w g r o u p i m p r e s s i o n s ch a n g e a n d e v o l v e a s n e w i n f o r m a t i o n i s
e n c o u n t e re d , m a i n l y i n t w o e x p e r i m e n t a l p a r a d ig m s . O n e i s c o n -
c e r n e d w i t h s t e r e o t y p e c h a n g e ( e . g ., R . W e b e r & C r o c k e r , 1 9 8 3 ) ,
i n w h i c h c h a n g e s i n a s t e r e o t y p i c i m p r e s s i o n a b o u t a s o c i a l g r o u p
( t y p i c a l l y c u l tu r a l l y r e c o g n i z e d a s a s o c i a l c a t e g o r y ) a r e e x a m i n e d
w h e n p e o p l e a r e p r e s e n t e d w i t h s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a -
t i o n . T h e s e c o n d p a r a d i g m m a y b e c a l l e d g r o u p d i f f e r e n t i a t i o n , i n
w h i c h i m p r e s s i o n s o f t w o c o n t r a st i n g g r o u p s a r e e x p e r i m e n t a l l y
c r e a t ed , a n d s u b s e q u e n t c h a n g e p r o c e s s e s e x a m i n e d w i t h a d d i -
t i o n a l i n f o r m a t i o n (e . g ., K r u e g e r & R o t h b a r t , 1 9 9 0 ) .
S t e r e o t y p e C h a n g e
a s i c F i n d i n g s o f S t e r e o ty p e C h a n g e
W e b e r a n d C r o c k e r ( 1 9 8 3 ) c o n d u c t e d a s e m i n a l w o r k o n s t e-
r e o t y p e c h a n g e . I n E x p e r i m e n t 1 , i n f o r m a t i o n i n c o n s i s t e n t w i t h t h e
p r i o r i m p r e s s i o n a b o u t a n o c c u p a t i o n a l g r o u p ( c o r p o r a t e l a w y e r s
o r l i b r a r i a n s ) w a s p r e s e n t e d t o p a r t i c i p a n t s b y d e s c r i b i n g a l a r g e
n u m b e r o f g r o u p m e m b e r s w h o w e r e e a c h a s c r ib e d t hr e e c h a r a c-
t e r i st i c s t h a t a r e c o n s i s t e n t , i n c o n s i s t e n t , o r i r r e l e v a n t t o t h e p r i o r
i m p r e s s i o n a b o u t t h e g r o u p ( i .e . , s te r e o t y p e) . T h e p a r t i c i p a n t s t h e n
e v a l u a t e d t h e o c c u p a t i o n a l g r o u p o n v a r i o u s s t e r e o t y p e - r e l e v a n t
t r a i t d i m e n s i o n s . I n a l l c o n d i t i o n s , o n e t h i r d o f t h e i n f o r m a t i o n w a s
i n c o n s i s t e n t , o n e s i x t h w a s c o n s i s t e n t , a n d o n e h a l f w a s i r r e l e v a n t .
T h e a m o u n t , b u t n o t t h e p r o p o r t i o n , o f i n c o n s i s t e n t i n f o r m a t i o n
w a s m a n i p u l a t e d b y p r e s e n t i n g e it h e r 6 m e m b e r s o r 3 0 m e m b e r s .
H o w e v e r , w i t h i n e a c h c o n d i t i o n , t h e p a t t e r n o f d i s t r i b u t i o n o f
s t e r e o t y p e i n c o n s i s t e n t i n f o r m a t i o n w a s a l s o m a n i p u l a t e d . I n t h e
c o n c e n t r a t e d c o n d i t i o n , t h e s t e r e o t y p e i n c o n s i s t e n t i n f o r m a t i o n
w a s c o n c e n t r a t e d i n o n e t h i r d o f t h e m e m b e r s ; i n t h e d i s p e r s e d
c o n d i t i o n , it w a s d i s p e r s e d a c r o s s a l l m e m b e r s . T h e y a l s o i n c l u d e d
a c o n t r o l c o n d i t i o n i n w h i c h p a r t i c i p a n t s s im p l y j u d g e d o c c u p a -
t i o n a l g r o u p s w i t h o u t a d d i t i o n a l i n f o r m a t i o n .
W e b e r a n d C r o c k e r f o u n d t h a t , g e n e r a l l y , s t e r e o t y p e - i n c o n -
s i s t e n t i n f o r m a t i o n c h a n g e s g r o u p i m p r e s s i o n s . F i r s t , t h e o c c u p a -
t i o n a l g r o u p s w e r e j u d g e d l e s s s t e r e o t y p i c a l l y i n a l l t h e e x p e r i -
m e n t a l c o n d i t i o n s i n w h i c h i n c o n s i s t e n t i n f o r m a t i o n w a s p r e s e n te d
t h a n i n t h e c o n t r o l c o n d i t i o n i n w h i c h n o i n f o r m a t i o n w a s g i v e n .
H e i t ( 1 9 9 4 ) o b s e r v e d a s i m i l a r e f f e c t o f t h e a m o u n t o f i n f o r m a t i o n
i n h i s E x p e r i m e n t s 3 a n d 4 . T h i s c l e a r l y s u g g e s t s t h a t p e o p l e a r e
r e s p o n s i v e t o i n f o r m a t i o n th a t c o n t r a d i c t s t h e i r p r i o r g r o u p i m p r e s -
s i o n a t l e a s t i n t h e e x p e r i m e n t a l c o n t e x t ( F i n d i n g 1 ) . S e c o n d , a
g r e a t e r a m o u n t o f i n c o n s i s t e n t i n f o r m a t i o n , n o n e t h e l e s s , t e n d s t o
c h a n g e t h e p r i o r i m p r e s s i o n m o r e ( F i n d i n g 2 ). A l t h o u g h t h i s e f fe c t
w a s r e l i a b le o n l y w h e n t h e i n c o n s i s t e n t i n f o r m a t i o n w a s d i s p e r s e d
a c r o s s i n d i v i d u a l s i n E x p e r i r n e n t 1 o f R . W e b e r a n d C r o c k e r
( 1 9 8 3 ) , i t w a s f o u n d e v e n i n t h e c o n c e n t r a t e d c o n d i t i o n i n
E x p e r i m e n t 2 .
T h i r d , n o t o n l y t h e a m o u n t b u t a l s o t h e p a t t e r n o f s t e r e o t y p e -
i n c o n s i s t e n t i n f o r m a t i o n w a s f o u n d t o i n f l u e n c e t h e e x t e n t o f
s t e r e o t y p e c h a n g e . A g r e a t e r s t e r e o t y p e c h a n g e w a s o b s e r v e d
w h e n s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a t i o n w a s d i s p e r s e d a c r o s s a l l
g r o u p m e m b e r s t h a n w h e n c o n c e n t r a t e d to a m i n o r i t y ( F i n d i n g 3) .
A l t h o u g h t h i s t e n d e n c y w a s r e l i a b l y p r e s e n t w h e n a l a r g e a m o u n t
o f i n f o r m a t i o n w a s g i v e n ( 3 0 m e m b e r s ) , it w a s w e a k e r w h e n
o n l y 6 g r o u p m e m b e r s w e r e d e s c r i b e d . T h i s f i n d i n g , a g r e a te r
s t e r e o t y p e c h a n g e i n t h e d i s p e r s e d t h a n i n t h e c o n c e n t r a t e d c o n -
d i t i o n , h as b e e n r e p l i c a t e d b y J o h n s t o n , H e w s t o n e , e t a l . e v e n w i t h
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GROUP IMPRESSIONS AS DYNAM IC CONFIGURATIONS 93 1
a r e l a t i v e l y s m a l l a m o u n t o f i n f o r m a t i o n (e . g ., J o h n s t o n & H e w -
s t o n e , 1 9 9 2 ; J o h n s t o n , H e w s t o n e , P e n d r y , & F r a n k i s h , 1 9 9 4 ; f o r a
r e v i e w , s e e H e w s t o n e , 1 9 9 4 ; a l s o H a n t z i , 1 9 9 5 ) .
T h e e f f e c t s o f d i s p e r s e d v e r s u s c o n c e n t r a t e d m a n i p u l a t i o n is
a p p a r e n t l y m e d i a t e d b y t h e p e r c e i v e d t y p i c a l i t y o f s t e r e o t y p e -
d i s c o n f i r m i n g g ro u p m e m b e r s . W h e n t h e t y p i c a li t y r a ti n g o f t h e
s t e r e o t y p e - d i s c o n f i r m i n g m e m b e r s w a s s t a t i s t i c a l l y c o n t r o l l e d , t h e
e f f ec t o f i n f o r m a t i o n p a t te r n b e c a m e n o n s i g n i f i c a n t ( E x p e r i m e n t 1
o f J o h n s t o n & H e w s t o n e , 1 9 9 2 ; H a n t z i , 1 9 9 5 ). T h i s e x p l a n a t i o n
h a s b e e n c o r r o b o r a t e d b y t w o o t h e r f i n d i n g s i n t h e l i te r a t u r e . F i r s t ,
b o t h R . W e b e r a n d C r o c k e r ' s ( 1 9 83 ) E x p e r i m e n t 3 a n d R o t h b a r t
a n d L e w i s ' s ( 1 9 8 8 ) E x p e r i m e n t 3 s h o w e d t h a t t h e e f f ec t o f t y p i c a l
e x a m p l e s o n g r o u p i m p r e s s i o n s w a s g r e a t e r t h a n t h a t o f a t y p i c a l
e x a m p l e s ( b l a c k , m e d i u m - i n c o m e l a w y e r s v s . w h i t e , h i g h - i n c o m e
l a w y e r s i n W e b e r a n d C r o c k e r; h i g h - , m e d i u m - , a n d l o w - t y p i ca l i ty
f r a t e r n i t y m e m b e r s i n R o t h b a r t a n d L e w i s ) . I n a d d i t i o n , R o t h b a r t
a n d L e w i s ' s E x p e r i m e n t s 1 a n d 2 s h o w e d t h a t p e o p l e t e n d e d t o
o v e r e s t i m a t e t h e f r e q u e n c y o f p a i r i n g o f p r o t o t y p i c a l e x a m p l e s o f
a c a t e g o r y ( e . g. , t y p i c a l t r i a n g l e s ) w i t h a f e a t u r e t h a t i s i r r e l e v a n t
t o t h e d e f i n i t i o n o f t h e c a t e g o r y ( e .g . , t h e c o l o r o f a t r i a n g l e )
c o m p a r e d w i t h t h e c a s e i n w h i c h a t y p i c a l e x a m p l e s o f t h e c a te g o r y
w e r e p a i r e d w i t h t h e f e a t u r e . T h i s l a t t e r f i n d i n g w a s i n t e r p r e t e d a s
s h o w i n g t h a t t y p i c a l e x a m p l e s a r e w e i g h t e d m o r e t h a n a t y p i c a l
e x a m p l e s , a n i n s i g h t t o w h i c h w e r e t u r n l a t e r .
M o d e l i n g S t e r e o t y p e C h a n g e
T h e s e f i n d i n g s h a v e b e e n i n t e r p r e t e d i n t e r m s o f t h r e e d i ff e r e n t
m o d e l s o f b e l i e f c h a n g e i n t h i s l i t e r a t u re ( H e w s t o n e , 1 9 9 4 ; R .
W e b e r & C r o c k e r , 1 9 8 3 ) . T h e b o o k k e e p i n g m o d e l ( R o t h b a r t ,
1 9 8 1 ) i m p l i e s a g r a d u a l c h a n g e o f b e l i e f s , i n d i c a t i n g a s t e p - b y - s t e p
u p d a t i n g o f g r o u p i m p r e s s i o n s a s n e w i n f o r m a t i o n i s e n c o u n te r e d .
B y c o n t r a s t , t h e c o n v e r s i o n m o d e l ( R o t h b a r t , 1 9 8 1 ) s u g g e s t s a
s u d d e n a l t e r a ti o n o f a g r o u p i m p r e s s i o n b a s e d o n t h e i n f o r m a t i o n
a b o u t a g r o u p m e m b e r t h a t d r a m a t i c a l l y d i s c o n f i r m s t h e p r i o r
i m p r e s s i o n . F i n a l l y , t h e s u b t y p i n g m o d e l p o s t u l a t e s t h a t i n f o r m a -
t i o n i n c o n s i s t e n t w i t h t h e p r io r i m p r e s s i o n t e n d s t o b e s u b t y p e d
a s e x c e p t i o n s t o t h e r u l e . T h i s f e n c i n g o f f o f i n c o n s i s t e n t i n f o r -
m a t i o n , w h i c h A l l p o r t ( 1 9 5 4 ) c a l l e d t h e r e - f e n c i n g d e v i c e ( p .
3 2 ) , l e a d s t o a r e l a t i v e l y c o n s e r v a t i v e c h a n g e o f t h e p r i o r i m p r e s -
s i o n i f a n y .
T h e s e m o d e l s , h o w e v e r , c a n n o t p r o v i d e a c o m p r e h e n s i v e e x p l a -
n a t i o n o f t h e f i n d i n g s . T h e b o o k k e e p i n g m o d e l c a n e x p l a i n t h e f i r s t
f i n d i n g , a c h a n g e o f s t e r e o t y p e w h e n s t e r e o t y p e - i n c o n s i s t e n t i n -
f o r m a t i o n i s p r e s e n t e d r e l a ti v e t o w h e n n o a d d i t i o n a l i n f o rm a t i o n
i s g i v e n . R . W e b e r a n d C r o c k e r ( 1 9 8 3 ) a r g u e d t h a t t h e b o o k k e e p -
i n g m o d e l c a n n o t a c c o u n t f o r t h e s e c o n d f i n d i n g , a g r e a t e r c h a n g e
w h e n t h e re i s a g r e a t e r a m o u n t o f i n c o n s i s t e n t i n f o r m a t i o n w h i l e
t h e p r o p o r t i o n o f i n c o n s i s t e n t t o c o n s i s t e n t i n f o r m a t i o n r e m a i n s
t h e s a m e . T h e s u b t y p i n g m o d e l c a n e x p l a i n a g r e a t e r e f f ec t o f
d i s p e r s e d , a s o p p o s e d t o c o n c e n t r a t e d , s t e r e o t y p e - i n c o n s i s t e n t i n -
f o r m a t i o n o n s t e re o t y p e c h a n g e . W h e n i n c o n s i s t en t i n fo r m a t i o n i s
c o n c e n t r a te d i n a m i n o r i t y o f g r o u p m e m b e r s , t h e m i n o r i t y i s l i k e l y
t o b e s u b t y p e d a s a n a t y p i c a l s u b g r o u p w i t h i n t h e s te r e o t y p e d
g r o u p . T h e f e n c i n g o f f o f t h e s u b t y p e w o u l d r e d u c e t h e i m p a c t o f
i n c o n s i s t e n t i n f o r m a t i o n o n t h e s t e r e o t y p e . I t h a s b e e n a r g u e d t h a t
t h i s f i n d i n g c o n t r a d i c t s t h e b o o k k e e p i n g a n d c o n v e r s i o n m o d e l s
( e . g. , R . W e b e r & C r o c k e r , 1 9 8 3 ) .
T P M a n a l y s i s o f s t e r e o t y p e c h a n g e . T h e T P M p r o v i d e s a
g e n e r a l e x p l a n a t i o n o f t h e f i n d i n g s , i n w h i c h t h e p e r s o n r e p r e s e n -
t a t i o n p l a y s a c e n t r a l r o l e . O n t h e b a s i s o f F i s k e a n d N e u b e r g ' s
( 1 9 9 0 ) a n d B r e w e r ' s ( 1 9 8 8 ) t h e o r i e s o f s t e r e o t y p i n g , i t is a s s u m e d
t h a t w h e n a n e v e n t p e r t a i n i n g t o a g r o u p m e m b e r i s c o n s i s t e n t w i t h
t h e s t e r e o t y p e , t h e p e r s o n i s n o t i n d i v i d u a t e d , s o t h a t t h e a c t i v a t i o n
l e v e l o f t h e u n i t s f o r t h e p e r s o n a s p e c t r e m a i n s a t t h e r e s t in g l e v e l
( i t r e m a i n s a t
1/~¢/N,
o r t h e v e c t o r f o r t h e p e r s o n a s p e c t i s r ) . I n
o t h e r w o r d s , t h e r e p r e s e n t a t i o n f o r a s t e r e o t y p e c o n s i s t e n t p e r s o n ,
P c , i s a s s u m e d t o b e v e r y s i m i l a r to r . B y c o n t r a s t , w h e n a g r o u p
m e m b e r e x h i b i t s a s t e r e o t y p e - i n c o n s i s t e n t c h a r a c t e r i st i c , t h e p e r -
s o n r e p r e s e n t a t i o n i s i n d i v i d u a t e d , s o t h a t i t s r e p r e s e n t a t i o n , P I ,
d e v i a t e s f r o m t h e r e s t i n g s t a t e , r .
P u t m a t h e m a t i c al l y , w h e n t h e j t h p e r s o n , P . / (a n d e v e n t ,
E Ol) ,
is
e n c o u n t e r e d a b o u t a g r o u p ( G i ) , w e a s s u m e t h a t C 1 = g i ® r ® e u l
® x a n d C z = g i ® r ® r ® x a r e u s e d t o a c ce s s t h e m e m o r y
r e p r e s e n t a t i o n . C 1 is t h e r e p r e s e n t a t i o n o f a n e x e m p l a r o f t h e
g r o u p , G ~ , i n v o l v i n g th e e v e n t , E u ] , w h e n n o p a r t i c u l a r g r o u p
m e m b e r i s s p e c i f i e d . C 2 is a r e p r e s e n t a t i o n o f t h e g r o u p w h e n
n e i t h e r p a r t i c u l a r g r o u p m e m b e r n o r e p i s o d e i s s p e c i f i e d .
M a t c h ( M , C 1 ) a p p r o x i m a te s t h e o v e r a l l s i m i l a r i ty o f t h e n e w
e x e m p l a r w i t h a l l e x e m p l a r s o f G ~ ; M a t c h ( M , C 2 ) p r o v i d e s a
m e a s u r e o f t h e b a s e l i n e s i m i l a r it y o f a n y e v e n t w i t h a l l e x e m p l a r s
o f G i, w h i c h i n d i c a t e s t h e o v e r a l l f e e l i n g o f k n o w i n g a b o u t t h i s
g r o u p . W e a s s u m e t h a t t h e t y p i c a l i t y o f t h e e v e n t , i , i s i n d e x e d a s
f o l l o w s :
M a t c h ( M ,
C1
T y p i c a l i t y o f e v e n t , Eij~, ~ = M a t c h ( M , C 2) ( 2 2 )
T h i s r a t i o i n d i c a t e s t h e s i m i l a r i t y o f o l d e x e m p l a r s t o t h e n e w
e x e m p l a r r e l a t i v e t o t h e s i m i l a r i t y o f t h e o l d e x e m p l a r s w i t h a n y
e x e m p l a r . T h e t y p i c a l i t y i n d e x , z , i s u s e d t o c o n s t r u c t t h e p e r s o n
r e p r e s e n t a t i o n , P u = P c o r P I , s o t h a t 0 < ( P I r ) < ( P c r ) < 1 .
I n o t h e r w o r d s , a s t e re o t y p e - c o n s i s t e n t m e m b e r ' s r e p r e s e n t a t i o n
i s c o n s t r u c t e d s o t h a t i t d o e s n o t d e v i a t e m a r k e d l y f r o m t h e r e s t i n g
s t a t e , r ( i . e . , t h e p e r s o n i s n o t i n d i v i d u a t e d ) . H o w e v e r , a
s t e r e o ty p e - i n c o n si s t e n t m e m b e r ' s r e p r e s e n ta t i o n d i f f e r s m a r k e d l y
f r o m t h e r e s t i n g s t a t e ( i .e . , t h e p e r s o n i s i n d i v i d u a t e d ; se e F i s k e ,
N e u b e r g , B e a t t i e, & M i l b e r g , 1 9 8 7 , f o r c o n s i s t e n t e v i d e n c e ) . I n
f a c t, t h i s p r o c e s s m a y l e a d t o t h e p r o d u c t i o n o f a s u b t y p e ( e . g . , R .
W e b e r & C r o c k e r , 1 9 8 3 ) b y a d e l i b e r a t i v e p r o c e s s o f j u s t i f i c a t i o n
( K u n d a & O l s o n , 1 9 9 5 ) . M o r e s p e c i f i c a l l y , s u p p o s e t h a t e x p e r i -
m e n t a l p a r t ic i p a n ts c o m e t o t h e e x p e r i m e n t w i t h a p r i o r m e m o r y
r e p r e s e n t a t i o n a n d a t o t a l o f J s t i m u l i a b o u t o n e s o c i a l g r o u p
( g r o u p i ) a r e p r e se n t e d , a n d t h e n u m b e r o f s t e r e o t y p e - c o n s i s t e n t
a n d s t e r e o t y p e - i n c o n s i s t e n t s t i m u l i i s J c a n d J 1 r e s p e c t i v e l y ( J =
J c + J ~) . U n d e r s o m e s i m p l i f y i n g a s s u m p t i o n s , t h e j u d g m e n t
a b o u t g r o u p i w h e n t h e j t h m e m b e r i s e n c o u n t e r e d , J ( G i ) j , c a n b e
w r i t t e n a s f o l l o w s ( A p p e n d i x ) :
So + Jcsc + rJ1sl
J ( G i ) j - 1 + J c + ' r J ~ ' ( 2 3 )
wh ere s o i s the p r io r s te reo type ,
s c and s I a r e th e
s c a l e v a l u e s f o r
s t e r e o t y p e - c o n s i s t e n t a n d s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a t i o n , a n d
T = ( p~ • r ) i s t h e t y p i c a l i t y o f a s t e r e o t y p e - i n c o n s i s t e n t p e r s o n .
N o t e t h a t E q u a t i o n 2 3 i s a s p e c i a l c a s e o f t h e w e i g h t e d a v e r a g i n g
m o d e l .
7/25/2019 Kashima, Woolcock, & Kashima 2000
http://slidepdf.com/reader/full/kashima-woolcock-kashima-2000 19/29
9 3 2 K A S H IM A , W O O L C O C K , A N D K A S H I M A
E mp i r i c a l f i n d i n g s a n d t h e T P M. E q u a t i o n 2 3 m a k e s s e v e r a l
p o i n t s c l e a r . F i r s t, w h e n t h e r e a r e s u f f i c i e n t s t e r e o t y p e - i n c o n s i s t e n t
m e m b e r s , t h e s t e r e o t y p e l i k e l y c h a n g e s f r o m t h e o r i g i n a l l e v e l , s o
c l o s e r t o w a r d t h e s c a l e v a l u e o f t h e s t e r e o t y p e - i n c o n s i s t e n t i n f o r -
m a t i o n , s T h i s i s b e c a u s e t h e w e i g h t f o r s t e r e o t y p e - i n c o n s i s t e n t
i n f o r m a t i o n b e co m e s g r e a te r w h e n J l b e c o m e s l a r g e r , a p r e d i c t i o n
c o n s i s t e n t w i t h F i n d i n g 1 . S e c o n d , t h e a m o u n t o f s t e r e o t y p e
c h a n g e c a n i n c r e a s e a s t h e a m o u n t o f s t e r e o t y p e - i n c o n s i s t e n t i n -
f o r m a t i o n i n c r e a s e s e v e n i f t h e r a t i o o f , / i to
J c
r e m a i n s c o n s t a n t
p r o v i d e d t h a t J c / J t i s s u f f i c i e n t l y s m a l l ( e s p e c i a l l y Jc / J l < r ).
T h i s c a n b e s e e n b y d i v i d i n g b o th t h e d e n o m i n a t o r a n d n u m e r a t o r
o f t h e f i g h t - h a n d s i d e o f E q u a t i o n 2 3 b y ,11.W h e n J l i s ve ry la rge ,
t h e e f f e c t o f s o i s n e g l i g i b l e . T h i s i s c o n s i s t e n t w i t h F i n d i n g 2 .
I n a d d i t i o n , E q u a t i o n 2 3 s u g g e s t s t h a t t h e n e w i n f o r m a t i o n
s h o u l d b e a p p r o x i m a t e l y a d d i t iv e l y c o m b i n e d w i t h t h e p r i o r i m -
p r e s s i o n . H e i t ' s ( 1 9 9 4 ) f i n d i n g s a r e c o n s i s t e n t w i t h t h is i m p l i c a -
t i o n . H i s e x p e r i m e n t s e x a m i n e d t h e e f f e c t o f c a t e g o r y - c o n s i s t e n t
a n d c a t e g o r y - i n c o n s is t e n t i n f o r m a t i o n o n t h e m e a n i n g o f a c a t e-
g o r y s u c h a s s h y n e s s . H e s y s t e m a t i c a l l y m a n i p u l a t e d t h e p r o b -
a b i l i t y t h a t a s h y p e r s o n is d e s c r i b e d b y b e h a v i o r s s u c h as d o e s
n o t a t t e n d p a r t i e s o f t e n ( c o n s i s te n t ) a n d a t t e n d s p a r t i e s o f t e n
( i n c o n s i s t e n t ) o r a n o t s h y p e r s o n i s c h a r a c t e r i z e d b y th e s e
b e h a v i o r s i n h i s s t i m u l u s a b o u t p e o p l e i n c i t y W . P a r t i c i p a n t s w e r e
a s k e d t o e s t i m a t e t h e p r o b a b i l i t y o f c o n s i s t e n t p a i r i n g ( i . e ., a s h y
p e r s o n n o t a t t e n d i n g p a r ti e s a n d a n o t - s h y p e r s o n a t t e n d i n g p a r t i e s )
a n d i n c o n s i s t e n t p a i r i n g ( i . e ., a s h y p e r s o n a t t e n d i n g p a r ti e s a n d a
n o t - s h y p e r s o n n o t a t t e n d i n g p a r t i es ) . T h e p r o b a b i l i t y e s t i m a t e f o r
c o n s i s t e n t p a i r i n g s w a s a l w a y s g r e a t e r t h a n t h a t f o r i n c o n s i s t e n t
p a i r i n g s , s h o w i n g t h e e f f e c t o f p r i o r e x p e c t a t i o n . F u r t h e r , t h e
g r e a t e r t h e p r o b a b i l i t y o f i n c o n s i s t e n t p a i r i n g i n t h e s t i m u l u s , t h e
s m a l l e r w a s t h e e s t i m a t e d p r o b a b i l i t y o f c o n s i s t e n t p a i r i n g , s u g -
g e s t i n g a c h a n g e i n c a t e g o r y m e a n i n g . I n a d d i t i o n , H e i t s h o w e d
t h a t t h e e f fe c t o f t h e p r i o r e x p e c t a t i o n r e m a i n e d t h e s a m e r e g a r d -
l e s s o f t h e p r o b a b i l i t y o f c o n s i s t e n t a n d i n c o n s i s t e n t p a i r i n g i n t h e
s t i m u l u s . T h i s l a s t f i n d i n g i m p l i e s t h a t t h e e f f e c ts o f p r i o r i m p r e s -
s i o n s a n d n e w i n f o r m a t i o n ar e a d d i t iv e l y c o m b i n e & H a y e s a n d
T a p l i n ( 1 9 9 2 ) a l s o r e p o r t e d s i m i l a r f 'm d i n g s w i t h c h i l d r e n .
E q u a t i o n 2 3 a l s o i m p l i e s th a t t h e a m o u n t o f s t e r e o t y p e c h a n g e i s
m e d i a t e d b y t h e e x t e n t t o w h i c h a s t e r e o t y p e - i n c o n s i s t e n t g r o u p
m e m b e r i s i n d i v i d u a t e d . N o t e t h a t t h e r e l a t i v e w e i g h t f o r a
s t e r e o ty p e - c o n s i s te n t a n d s t e r e o t y p e -i n c o n s i s t e n t m e m b e r i s
1/[1 + J c + ~'Jl] an d I /[1 + Jc + cJt], r e s p e c t i v e l y . T h i s m e a n s
t h a t a s te r e o t y p e - i n c o n s i s t e n t m e m b e r ' s i n f o r m a t i o n i s w e i g h t e d
l e s s t h a n a s t e re o t y p e - c o n s i s t e n t m e m b e r ' s i n f o r m a t i o n . R e c a l l t h a t
r = (Px r ) < 1 : ~ ind ica tes the ex ten t to wh ich the s te reo type-
i n c o n s i s t e n t m e m b e r i s i n d i v i d u a t e d , f f a p e r s o n i s i n d i v i d u a t e d ,
t h e p e r s o n r e p r e s e n t a t i o n d e v i a t e s f r o m t h e r e s t i n g s t a t e , r . T h i s
i m p l i e s t h a t a n i n d i v i d u a t e d g r o u p m e m b e r ' s i n c o n s i s t en t in f o r -
m a r i o n d o e s n o t a f f e ct t h e s t e re o t y p e a s m u c h a s a n o n i n d i v i d u a t e d
m e m b e r ' s e q u a l l y i n c o n s i s te n t in f o r m a t i o n .
T h i s i m p l i c a t i o n o f T P M i s c o n s i s t e n t w i t h t h e t h e o r e t ic a l i n -
s i g h t e x p r e s s e d b y R o t h b a r t a n d J o h n ( 1 9 8 5 ) a s w e l l a s H e w s t o n e
a n d B r o w n ( 1 9 8 6 ; s e e , e . g ., S c a r b e r r y , R a t c l if f , L o r d , L a n i c e k , &
D e s f o r g e s , 1 9 9 7 , f o r e v i d e n c e ) . It i s a l s o c o n s i s t e n t w i t h R o t h b a r t ,
S r i r a m , a n d D a v i s - S t i t t ' s (1 9 9 6 ) f i n d i n g t h a t t y p i c a l m e m b e r s a r e
m o r e l i k e l y r e t r i e v e d b y c u i n g m e m o r y w i t h a g r o u p l a b e l t h a n
a t y p ic a l m e m b e r s . G i v e n t h a t a n a t y p i c al g r o u p m e m b e r i s m o r e
l i k e l y i n d i v i d u a t e d th a n a t y p i c a l g r o u p m e m b e r , t h e m o d e l i s
c o n s i s t e n t w i t h t h e f i n d i n g s t h a t t y p i c a l g r o u p m e m b e r s a r e m o r e
l i k e l y to c h a n g e s t e r e o t y p e s t h a n a t y p i c a l g r o u p m e m b e r s . F i n a l l y ,
i t i s c o n s i s t e n t w i t h t h e f i n d i n g t h a t a s t e r e o ty p e c h a n g e s m o r e
w h e n i n c o n s i s t e n t i n f o r m a t i o n is d i s p e r s e d a c r o ss a n u m b e r o f
i n d i v i d u a l s t h a n w h e n c o n c e n t r a t e d i n a f e w i n d i v i d u a l s . T h i s i s
b e c a u s e d r a m a t i c a l l y a t y p i c a l i n d i v i d u a l s a r e l i k e l y i n d i v i d u a t e d o r
s u b t y p e d .
Gu r w i t z a n d Do d g e ( 1 9 7 7 ) f i n d i n g a n d T P M. O n e p u z z l i n g
f i n d i n g w a s r e p o r te d b y G u r w i t z a n d D o d g e ( 1 9 7 7) , w h o s e r e s u l t
a p p e a r s t o c o n t r a d i c t t h e w e a l t h o f e m p i r i c a l r e s e a r c h i n s t e r e o t y p e
c h a n g e . T h e i r e x p e r i m e n t w a s p r o b a b l y t h e f i r s t t o e x a m i n e t h e
e f f e c t o f d i s p e r s e d v e r s u s c o n c e n t r a t e d s t e r e o t y p e - i n c o n s i s t e n t i n -
f o r m a t i o n o n s t e r e o t y p e s . T h e y p r e s e n t e d i n f o r m a t i o n a b o u t th r e e
s o r o r i t y w o m e n w h o w e r e f r i e n d s a n d s h a r e d a r o o m t o g e t h e r . I n
t h e c o n c e n t r a t e d c o n d i t i o n , o n e o f t h e t h r e e w o m e n h a d a l l
s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a t i o n , w h e r e a s a l l th r e e w o m e n h a d
s o m e s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a t i o n i n th e d i s p e r s e d c o n d i -
t i o n . I n b o t h c o n d i t i o n s , h o w e v e r , t h e t o t a l a m o u n t o f s t e r e o t y p e -
i n c o n s i s t e n t i n f o r m a t i o n r e m a i n e d t h e s a m e . T h e i r p a r t i c ip a n t s
w e r e t h e n a s k e d t o m a k e i m p r e s s i o n j u d g m e n t s a b o u t a n o t h e r
w o m a n w h o w a s d e s c r i b e d a s a f ri e n d o f th e t h r e e w o m e n , w h o
s h a r e d t h e r o o m w i t h t h e m , a n d w h o a l s o b e l o n g e d t o t h e s a m e
s o r o r it y . T h e i r f i n d i n g s s u g g e s t e d t h a t t h e t a r g e t p e r s o n w a s j u d g e d
a s l e s s s t e r e o t y p i c a l i n t h e c o n c e n t r a t e d t h a n i n t h e d i s p e r s e d
c o n d i t i o n .
A l t h o u g h t h e G u r w i t z - D o d g e f i n d i n g s e e m s i n c o n s i s t en t w i t h
t h e o t h e r f i n d i n g s , T P M s u g g e s t s t h a t a f r i e n d o f o n l y m i l d l y
s t e r e o t y p e - i n c o n s i s t e n t g r o u p m e m b e r s ( d i s p e r s e d c o n d i t i o n ) c a n
b e e v a l u a t e d t o b e m o r e s t e r e o t y p i c a l t h a n a f r i e n d o f a r a d i c a l l y
s t e r e o t y p e - i n c o n s i s t e n t g r o u p m e m b e r ( c o n c e n t r a t e d c o n d i t i o n ) ,
a p p a r e n t l y s h o w i n g l e s s o f a s t e r e o t y p e c h a n g e i n t h e d i s p e r s e d
c o n d i t io n . T h e j u d g m e n t a b o u t a n i n d i v i d u a l m e m b e r o f a g r o u p
c a n b e m o d e l e d b y T P M ( A p p e n d i x ):
rrso + rvlcsc + s( l , T)Jxst
J (Gi ,
P r ) = ( 2 4 )
r r + zv lc + s ( I , T )J t '
w h e r e ~ 'r r e p r e s e n t s t h e t y p i c a l i t y o f t h e t a r g e t p e r s o n a n d s(I, T) is
t h e s i m i l a r i t y b e t w e e n t h e t a r g e t a n d s t e r e o t y p e - i n c o n s i s t e n t m e m -
b e r s . N o t e t h a t
J ( G , P r )
i s a j u d g m e n t a b o u t a t a r g e t p e r s o n , w h o
i s a m e m b e r o f g r o u p i .
E q u a t i o n 2 4 i m p l i e s t h a t i f t h e t a r g e t i s s i m i l a r t o s t e r e o t y p e -
i n c o n s i s t e n t m e m b e r s , t h a t i s , s(I, 13 i s l a r g e , t h e n t h e j u d g m e n t
a b o u t t h e t a r g e t is i n f l u e n c e d m o r e b y t h e s t e r e o t y p e - i n c o n s i s t e n t
m e m b e r s . T h i s i m p l i c a t io n o f T P M c a n e x p l a i n t he G u r w i t z -
D o d g e f i n d i n g . F u r t h e r m o r e , t o t h e e x t e n t t h a t t h e t y p i c a l i t y o f t h e
ta rge t pe rs on i s low ( i . e ., ~ ' r i s sma l l ) , the e f fec t o f the s te reo typ e
s h o u l d b e r e l a t i v e l y s m a l l . T h i s l a t t e r i m p l i c a t i o n i s c o n s i s t e n t w i t h
F i s k e a n d N e u b e r g ' s c o n t i n u u m m o d e l ( 1 9 9 0 ) .
S i m u l a t i n g t h e S te r e o t y p e C h a n g e F i n d i n g s
J o h n s t o n a n d H e w s t o n e ' s ( 1 9 92 ) c o n d i t i o n s w e r e s i m u l a t e d
u s i n g M a t h e m a t i c a o n a S i l i c on G r a p h i c s I n d y W o r k s t a t i on . I n
t h e i r e x p e r i m e n t , p a r t i c i p a n t s w e r e s h o w n e i g h t m e m b e r s o f a
s t e r e o t y p e d g r o u p , e a c h o f w h o m w a s d e s c r i b e d b y s i x p i e c e s o f
i n f o r m a t i o n . T h e r e w e r e 1 2 , 1 2 , a n d 2 4 p i e c e s o f s t e r e o t y p e -
c o n s i s t e n t , s t e r e o t y p e - i n c o n s i s t e n t , a n d s t e r e o t y p e - i r r e l e v a n t in f o r -
m a t i o n , r e s p e c t iv e l y . I n t h e c o n c e n t r a t e d c o n d i t i o n , t h e s t e r e o t y p e -
i n c o n s i s t e n t i n f o r m a t i o n w a s c o n c e n t r a t e d i n t w o m e m b e r s , b u t i n
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GROUP IMPRESSIONS AS DYNAMIC CONFIGURATIONS 933
the dispersed condition, it was distributed across six members (two
pieces each). In the latter condition, two members were ascribed
three pieces of stereotype-consistent information. Their third stim-
ulus condition was excluded from the simulation for simplicity.
The attention parameter a declined from 1, .8, .64, and so on
(i.e., 8k- l, where k = 1 to 8) from the ftrst to the eighth stimulus
for each person. The forgetting parameter/3 was set at .95. For
each condit ion, 20 simulations were run. Impression judgments
about the group and the individual person were collected after the
learning phase, the first change phase, and the second change
phase. The means are reported in Table 3 (see Appendix for
details).
The means show that the stereotype was successfully learned by
the TPM after the learning phase. The impression udgments using
the group and person cues were both .81, indicating a high level of
stereotyping (1 = perfec tly stereotypical . When information that
is inconsist ent with the group stereotype was presented, however,
group impression judgments clearly changed. The group impres-
sion judgments after the first change phase were less stereotypical
than those before it. The impression judgments were even less
stereotypical after the second change phase than immedia tely after
the ftrst change phase. Clearly, a greater amount of stereotype-
inconsistent information changes the stereotype.
The effects of concentra ted versus dispersed st imulus configu-
ration were successfully simulated in the present simulation. When
the group was the target as in the typical experimental paradigm,
the impression judgments were more stereotypical in the concen-
trated condition than in the dispersed condition, suggesting a
greater stereotype change in the dispersed condition. By contrast,
when the person was the target, as in Gurwitz and Dodge, there
appears to be a greater stereotype change in the concentrated
condi tion than in the dispersed condition.
Comments
The simulation results showed that TPM can reproduce both the
basic fmdings and Gurwitz and Dodge's finding, showing its
capacity to provide a unifi ed account. Central in this is the process
of individuat ion, a process with an ironic implication. On the one
hand, as noted by Fiske et al. (e.g., Fiske Neuberg, 1990), the
individuated person is less likely stereotyped. On the other hand,
as pointed out by Rothbart et al. (e.g., Rothbart John, 1985), the
individuated person less likely affects the group impression: That
is, less stereotype change is likely. In other words, individuation
may be good for the individua l but not necessarily good for the
group (see Yzerbyt, Coull, Rocher, 1999). Nevertheless, this
does not mean that individuat ion should be avoided to change an
undesirable stereotype. As Rothbart and John (1985) pointed out
and TPM suggests, although radically stereotype-inconsistent ex-
emplars may have only small effects on stereotypes (as shown in
the concentrated condition), they too could eventually effect a
stereotype change if cumulated over time. It would just take more
exemplars to attain the same amount of stereotype change when
group members are individuated than when they are not.
Finally, in accounting for Gurwitz and Dodge's (1977) finding,
we made use of relational information, that is, information about
the interpersonal relationship between the stimulus persons and the
person about whom impression judgments were required. We
assumed that a friend of stimulus persons would be represented in
a way that resembles the representations of the stimulus persons.
The effect of information about interpersonal relationships on
group impressions should be examined more systematically.
Group Differentiation
Tajfel and Wilkes's (1963) classical research on the accentua-
tion phenomenon provided the original impetus to this line of
research. Participants in their study were shown a series of lines
and asked to estimate their lengths. Tajfel and Wilkes then com-
pared estimated lengths of the lines that were adjacent to each
other in length. In some conditions, shorter l ines and longer lines
were classified into different categories, whereas in other condi-
tions there was no meaningful relation between classification and
line length. In the former conditions, the difference between the
estimated lengths of adjacent lines was exaggerated when the two
lines were classified into two different categories, although this
accentuation of interclass difference was not observed when the
classification did not meaningfu lly correlate with line length. A
number of studies successfully replicated this finding in the past
(e.g., Eiser, 1971; McGarty Penny , 1988; see the latter for a
review).
Tajfel and Wilkes's (1963) original studies examined people's
evaluation of individual stimuli that were classified into categories.
As noted by Krueger, Rothbart, et al. (Krueger, 1991, 1992;
Krneger Rothbart, 1988; Krueger, Rothbart, Sriram, 1989),
this procedure cannot distinguish two sources of the interclass
accentuation. One is a contrast effect, in which the perception of an
individual stimulus is affected by its membership with one of the
two contras ting categories. The other is an accentuation effect, in
which a difference between the central tendencies of the differen-
tiated categories is accentuated over and beyond what is expected
only from the contrast effect. In this article, we are concerned with
this latter phenomenon as it pertains to the judgments of central
tendencies, or group impressions.
Basic Findings of Group Differentiation
Krueger and Rothbart's (1990) Experiment 2 provides a proto-
typical example. Participants were shown a series of personality
Table 3
Mean Simulated Group Impression Judgments or the Stereotype Change Simulation
Change phase 1 Change phase 2
Cue Le ar ni ng Concentrat ed Dispers ed Concentrated Dispe~ed
Group .81 .75 .72 .68 .65
Person .81 .68 .75 .64 .68
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93 4 KASHIMA, WOOLCOCK, AND KASHIMA
trait adjectives (pretested to determine their favorability) that were
classified into two contrasting groups (focal and context groups)
and rated the favorability of each adjective as well as the overall
mean favorability of the two groups. In the learning phase, the
distributions of the stimulus traits in two groups did not overlap in
their favorability. The mean favorability of the context group was,
relative to that of the focal group, higher in one condition and
lower in the other condition. In the change phase, additional trait
adjectives were presented for the two groups. Although the actual
means of the two distributions remained constant, the variance of
the focal group was made greater than before, so that there was
now some overlap between the focal and context groups. Krueger
and Rothbart examined the estimated means of the focal and
context groups before and after the change phase while controlling
for the average of the favorability judgments for the individual
traits. They found that the estimated mean of the focal group
moved away from the mean of the context group, although there
was no change in either the actual mean of the trait adjectives or
the average of the rated favorabi lity of indiv idual traits. This
finding was largely replicated in their Experiment 3. Krueger and
Rothbart's (1990) Experiment 1 using traits, as well as Krueger et
al. (1989) and Krueger (1991) using numbers as stimuli, showed a
comparable effect when there was a real change in the central
tendency of the distribution.
Modeling Group Differentiation
In line with the suggest ion made by Krueger, Rothbart, et al.,
TPM accounts for the basic group differentiation phenomenon by
extending the analysis for the stereotype change. In modeling the
stereotype change phenomena, the typicality of a person was
determined with regard to the single group for which the person
was a member. In the group differentiation paradigm, in which two
groups are contrasted, however, we assume that an exemplar's
typicality is determined not only by the exemplar's similarity with
its group's representation but also by its dissimilarity from the
representation of the group to which its group is contrasted (Camp-
bell, 1958; Turner, 1987; also see Ford & Stangor, 1992). As in the
stereotype change paradigm, we suggest that the person represen-
tation is constructed as a function of the typicality, but it is defined
within the frame of reference set by the two contrasting groups.
This can be modeled mathematically. Suppose that two groups,
Group 1 (G 1) and Group 2 (G2), are contrasted with each other,
and an event pert aining to Group 1, Elik, is encoded as eUk. Let
Cll = gl ® r ®
e l i k
@ X and
C2 =
g2 ® r ®
e l j k
@
X C l l
is the
representation of an exemplar of Group 1 involving he event, and
C21 is the representation of the same event counterfactually as-
suming that it pertained to Group 2. We then assume that the
typical ity of Ga's exemplar, E~jk, is determined by the following
rule:
Match(m, Cn)
zljk = Matc h(M, Cn) + Ma tch (M, Czl)
(25)
The typicality of G2's exemplar E2jk(e~4k), r2jk, can be defined
analogously.
Equation 25 is closely related to the concept of metacontrast
(Campbell, 1958; Turner, 1987). Match (M, Cujk) approximates
the similarity of the exemplar, El , with all the other exemplars o f
Group 1 stored in memory (plus some error), and Match(M, C21)
approximates the similarity of the same exemplar with all the
exemplars of Group 2. As the similarity of the event with all the
events associated with Group 1 increases and the similarity of the
event with all the events associated with Group 2 decreases, the
typical ity of this event for Group 1 increases. Therefore, ~'l~k
increases as the metacontrast ratio, Match(M, C11)/Match(M,
C21), increases.
Simulating the Group Differentiation Find ings
To show that TPM with these additional assumptions can ac-
count for the group differentiation phenomena, Krueger and Roth-
bart's (1990) Experiment 2 was simulated. The results (Table 4)
showed that the mean judgments of the focal group moved away
from the context group mean in the change phase relative to the
learning phase. In the condition in which the context group mean
was lower than the focal group mean (Condition 1), the simulated
judgme nt mean for the focal group became larger. Similarly, in the
condition in which the context group mean was higher than the
focal group mean (Condition 2), the simulated judgment mean for
the focal group became smaller. For each condition, a two-way
repeated measures ANOVA was conducted with the judgment as
the dependent variable and phase (learning vs. change) and group
(focal vs. context) as independent variables. As expected, the
Phase × Group interaction effect was significant, F(1, 19) = 6.24,
p = .022, and F(1, 19) = 26.67, p < .001, for Conditions 1 and 2,
respectively.
Discussion
In line with the current theories of stereotyping and group
differentiation (e.g., Fiske & Neuberg, 1990; Rothbart & John,
1985), we postulated that the evaluation of typicality drives the
encoding of the individual member. Central in this formulation
was the importance of various relational information, that is, the
assumpt ion that social perceivers make use of not only the infor-
mation about the relationship between the group and an indiv idual
exemplar (group-person relationship) but also the information
about the relationship between two groups (intergroup relation-
ship) in computing the typicality of an individual exemplar. This
assumption enabled the TPM to explain the empirical phenomena
of stereotype change and group differentiation.
General Discussion
Group impressions are dynamic configurations. They represent
social perceivers' flexibly structured and constantly evolving un-
derstandings about social groups. The empirical findings reviewed
Table 4
Means of the Simulated Mean Judgments or the
Group Differentiation
Group Learning phase Change phase
Focal group .5076 .5141
Context Group 1 .2019 .2024
Focal group .5064 .4958
Context Group 2 .7971 .7968
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GROUP IMPRESSIONS AS DYNAMIC CONFIGURATIONS 935
and the experiment reported here underscore the dynamics of
group impressions. Group impressions exhibit a number of time-
dependent properties and evolve over time in interaction with the
information environment. Despite the implicit assumption that
group impression formation and change are two separate phenom-
ena, the process underlying both formation and change of group
impressions could be a single, learning process.
Group impressions are configural too. The configural use of
features is c learly important in learning group categories. A variety
of research on the use of context information corroborates the
importance of the configural encoding of groups, group members,
social events pertaining to them, and context in which the events
are said to occur. The use of relational information about person-
group and intergroup relationships also underlines the significance
of configurat ion, that is, the structure of the social information
based on which group impressions are formed. The TPM provides
a unified framework for theorizing about group impressions as
dynamic configurations.
S t r e n g th s a n d W e a k n e s s e s o f th e T P M a s a F r a m e w o r k
f o r G r o u p I m p r e s s i o n F o r m a t i o n a n d C h a n g e
The TPM not only provides a unified framework for the diverse
array of empirical findings but also affords an insight about the
interpretation of algebraic models postulated in social cognition.
Algebraic models are often regarded literally as describing the
psychological process in terms of algebraic operations and, there-
fore, as a description of the controlled, deliberative processing of
information (e.g., Fazio, 1990; Fiske Neuberg, 1990). However,
as shown here, both the weighted averaging model and the context
model can fall out of the current connect ionist model as a natural
consequence of the memory and judgme nt process. This implies,
first, that algebraic models should be construed as computational
models that simply describe input-output relations rather than
algorithmic models that describe the psychological process
(Kashima Kerekes, 1994; E. U. Weber, Goldstein, Buse-
meyer, 1991). In other words, the algebraic models should not be
interpreted literally but may be seen as describing macrolevel
regularities that emerge from microlevel psychological processes,
which may not be effortful at all.
Despite these strengths, TPM has its weaknesses. In many
social -cogni tive theories (e.g., Wyer Carlston, 1979), the cen-
tral processing unit (CPU) has been implicitly or explicitly postu-
lated, whose function is to execute procedural knowledge to ma-
nipulate declarative knowledge. In connectionist networks, a set of
simple processing units, whether localist or distributed, collec-
tively process information. This removed the necessity for the
CPU, which smacks of a homunculus in the head. This feature of
connectionism may be regarded as an advantage. However, TPM
cannot do away with a control mechanism. For example, recall that
order effects were explained partly by the attentional parameter
and that the individuation process involved in stereotype change
and group differentiation was expla ined in terms of the construc-
tion of a person representation. Some mechanism is needed to
control the attentional parameter and the construction process for
a person representation. This mechanism does not have to be a
single CPU but may have a parallel distributed architecture.
A number of areas are yet to be incorporated into the present
framework. For instance, more detailed discussion is necessary
about the process o f stereotyping and indiv idua tion in which an
individual is the target of judgment (e.g., Fiske Neuberg, 1990),
the perception of an indiv idual 's behavior (e.g., Manis, Biernat,
Nelson, 1991), the judgment of group variability (e.g., Ostrom
Sedikides, 1992), memory about groups (e.g., Rothbart, Evans,
Fulero, 1979; Rothbart, Fulero, Jensen, Howard, Birrell, 1978),
and the relation between memory and judgment (e.g., Hastie
Park, 1986; Srull Wyer, 1989). Because of this, we did not
discuss some studies that examined the process of group impres-
sion formation when the target was a new group consisting of
members of a stereotyped social category (e.g., Dijksterhuis van
Knippenberg, 1995; Dijksterhuis, van Knippenberg, Kruglanski ,
Schaper, 1996) . We have not addressed some of the nonl inear
processes associated with group impression formation and change.
People construct emergent properties when two pieces of contra-
dictory information are integrated (e.g., Asch Zukier, 1984;
Hastie, Schroeder, Weber, 1990; Kunda, Miller, Claire,
1990). Although TPM can address this issue by adopting a strategy
similar to Smith and DeCoster's (1998a, 1998b), full impli cations
of this type of cognitive activity are still outside its scope.
A d v a n t a g e s o f T h e o r e t i c a l R e d u c t i o n
We attempted a theoretical reduct ion of algebraic models to the
TPM, and there are clear advantages. Because old theories are not
falsified, they can be regarded as simpler approximations to more
complex descriptions provided by a new theory. Old theories can
be retained as a useful tool for investigation and a practical
approximation. Old theories can be interpreted in a new light, and
new theoretical insights may be gained. The use of the weighted
averaging model in the current article provides an illustration. The
weighted averaging model was shown to be derivable from TPM.
The weight and scale value concepts in the weighted averaging
model allowed us to examine the time-dependent properties of
group impress ion formation. Furthermore, we could use a model
similar to the weighted averaging model (Equations 23 and 24) to
shed light on the stereotype change literature.
A theoretical reduction shows a cumulat ive and dynamic nature
of the scientific enterprise of social psychology. Echoing Massaro
(1990; also Massaro Cowan, 1993), we believe connectionist
approaches underscore a continuity in psychological theorizing
(also see Kashima Kerekes, 1994; Read et al., 1996) rather than
a radical departure, f f Asch's (1946, 1952) foundational insight
was to conceptualize impressions as dynamic configurations, the
evolution of socia l-cogn itive theories in the past two decades
since
Person Memory The Cognitive Basis of Social Perception
by Hastie et al. (1980) may be seen as a pursuit of an increasingly
dynamic theory of socia l-cognitive processes. The upsurge of
interest in connectionism may be a continuation of this trend. The
current formulation attempted to show that at least one
connectionist-type model, TPM, can describe both dynamic and
Gestalt-like configural properties of group impression formation
and change, making a contribution o the social- cognit ive research
tradition (Laudan, 1977; or research program as in Lakatos, 1970).
Connec t ion i sm as a Research T radi t ion
In providing support for TPM in particular, we showed the
utility of connectionism in general. Connectioni sm too is a re-
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9 3 6 K A S H IM A , W O O L C O C K , A N D K A S H IM A
s e a r c h t r a d i t i o n w h o s e c o r e c o n s i s t s o f a s e t o f t h e o r e t i c a l p r i n c i -
p l e s. T h i s w a y , c o n n e c t i o n i s m p ro v i d e s a v e r y g e n e r a l f r a m e w o r k
i n w h i c h t o d e v e l o p m o r e s p e c i f i c a r c h i t e c t u r e s . J u s t a s a n u m b e r
o f s p e c i f i c m o d e l s o f p e r s o n r e p r e s e n t a t i o n c a n b e g e n e r a t e d
w i t h i n t h e f r a m e w o r k o f a s s o c i a t i v e m e m o r y ( e . g ., S r u l l & W y e r ,
1 9 8 9 ) , a s p e c i f i c c o n n e c t i o n i s t a r c h i t e c tu r e s u c h a s T P M c a n
g e n e r a t e a n u m b e r o f m o r e s p e c i f ic m o d e l s . T h e s e m o d e l s c a n b e
c o m p e t i t i v e l y te s t e d a n d f a l s i f i e d ( e .g . , E q u a t i o n s 2 2 a n d 2 5 ) . W e
s h o w e d t h a t t h e c u r r e n t f o rm o f T P M c a n e x p l a i n e x i s ti n g d a t a a n d
g e n e r a t e n e w , e m p i r i c a l l y s u p p o r t e d p r e d i c t i o n s .
I n s o d o i n g , w e a l s o s h o w e d t h a t t h e c u r r e n t f o r m s o f o t h e r
c o n n e c t i o n i s t a r c h i t e c tu r e s h a v e s o m e d i f f i c u l t y e x p l a i n i n g t h e
d a t a w e p r o v i d e d . A t o n e l e v e l , t h e c u r r e n t f o r m s o f t h o s e a r c h i -
t e c t u r e s w e r e f a l s i f i e d . H o w e v e r , i t d o e s n o t m e a n t h a t t h o s e
a r c h i t e c tu r e s c a n n o t b e m o d i f i e d t o a c c o u n t f o r t h e d a t a. J u s t a s
i m p r e s s i o n s a r e d y n a m i c c o n f i g u r a t i o n s , s o t o o a r e t h e o ri e s . T h e y
m a y v e r y w e l l e v o l v e i n t h e f a c e o f e m p i r i c a l c h a l l e n g e s a n d
d e v e l o p s o m e n o v e l p r e d i c t i o n s a n d p o s s i b i l i t i e s . C o n n e c t i o n i s m
p r o v i d e s a s e t o f c o n c e p t u a l t o o l s w i t h w h i c h t o t h e o r i z e a b o u t
p s y c h o l o g i c a l p h e n o m e n a . W i t h n e w t o o l s , n e w p o s s i b i l i t i e s
e m e r g e . I n t h i s w a y , t h e r e s e a r c h t r a d i t i o n o f c o n n e c t i o n i s m a n d i ts
p a r t i c u l a r a r c h it e c t u r e s c o e v o l v e w i t h e m p i r i c a l i n v e s t i g a t i o n s .
Implications for Stereotype Formation and Maintenance
O n e r e a s o n f o r t h e c u r r e n t i n t e r e s t i n g r o u p i m p r e s s i o n f o r m a -
t i o n a n d c h a n g e i s i t s p o t e n t i a l i m p l i c a t i o n s f o r r e a l - l i f e s t e r e o -
t y p e s . N e v e r t h e l e s s , u n p r i n c i p l e d g e n e r a l i z a t i o n s o f l a b o r a t o r y r e -
s u i t s b a s e d o n h y p o t h e t i c a l g r o u p s c a n a l w a y s b e c h a l l e n g e d f o r
t h e i r l a c k o f e c o l o g i c a l v a l id i t y . H o w e v e r , a w e l l - d e v e l o p e d t h e o r y
c a n p r o v i d e a d e f e n s i b l e b a s i s f o r g e n e r a l i z i n g l a b o r a t o r y r e s u l t s to
t h e s o c i o c u l t u r a i m i l i e u . I n o u r a s s e s s m e n t , t h e T P M c a n p r o v i d e
j u s t s u c h a t h e o r e t i c a l b a s i s . T h e p r e s e n t m o d e l i n g o f g r o u p i m -
p r e s s i o n f o r m a t i o n i m p l i e s t h a t e x i s t i n g s t e r e o t y p e s l i k e l y r e f l ec t
t h e d i s t r i b u t i o n o f t y p e s o f e v e n t s i n t h e p r o b a b i l i s t i c s o c i o c u l t u r a l
e n v i r o n m e n t , a lt h o u g h s o m e a s p ec t s o f g r o u p i m p r e s s i o ns m a y
h a v e a g e n e t i c , m o d u l a r b a s i s ( H i r s c h fe l d , 1 9 9 6 ). A g r o u p i s l i k e l y
p e r c e i v e d i n a p o s i t i v e l i g h t w h e n t h e p r e p o n d e r a n c e o f d i r e c t o r
i n d i r e c t h e a r s a y i n f o r m a t i o n i s r e l a t i v e l y p o s i t i v e o r v i c e v e r s a .
H o w e v e r , w h e n a r e l a t iv e l y s m a l l a m o u n t o f i n f o r m a t i o n is i n -
v o l v e d , s t e r e o t y p e s m a y n o t r e f l e c t t h e i n f o r m a t i o n d i s t r i b u t i o n i n
t h e s o c i o c u l t u r a l e n v i r o n m e n t . T h e d i s t i n c t i v e n e s s - b a s e d i l l u -
s o r y c o r r e l a t i o n m a y f o r m t h e b a s i s o f s o m e s t e r e o t y p es .
T h e c u r r e n t f o r m u l a t i o n s h e d s l i g h t o n t h e p r o c e s s o f s t e r e o t y p e
m a i n t e n a n c e . T h e m o d e l s u g g e s t s t h a t g r o u p i m p r e s s i o n s c a n
c h a n g e i n t h e l o n g r u n i n s o f a r a s s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a -
t i o n c o n t i n u e s t o b e e n c o d e d a n d s t o r e d . N e v e r t h e l e s s , t h e c u r r e n t
m o d e l a s s u m e s , b u t d o e s n o t a d d r e s s , t h e e n c o d i n g p r o c e s s f u l l y
( e s p e c i a l l y f e a t u r e e n c o d i n g p r o c e s s ). A s v o n H i p p e l , S e k a q u a p -
t e w a , a n d V a r g a s ( 1 9 9 5 ) e m p h a s i z e d , t h e p e r c e p t u a l e n c o d i n g
p r o c e s s m a y , i n f a c t , b e r e s p o n s i b l e f o r t h e p e r s i s t e n c e o f s t e r e o -
t y p e s . T o t h i s e x t e n t , t h e s t a b i l i ty o f s t e r e o ty p e s m a y s t e m o n l y i n
p a r t f r o m t h e r i g i d i t y o f t h e c o g n i t i v e s y s t e m d e s p i t e t h e p i c t u r e -
i n - t h e -h e a d m e t a p h o r e n s h r i n e d b y L i p p m a n ( 1 9 22 ) . P o t e n t i a l
s o u r c e s o f s t er e o t y p e m a i n t e n a n c e m a y b e m o r e a f f e c t iv e a n d
m o t i v a t i o n a l (s e e F o r g a s , 1 9 9 2 ; K u n d a , 1 9 9 0 ) . F o r v a r i o u s r e a s o n s
s u c h a s r i g h t - w i n g a u t h o r i t a r i a n i s m ( A d o r n o , F r e n k e l - B r u n s w i k ,
L e v e n s o n , & S a n f o r d , 1 9 5 0 ; se e A l t e m e y e r , 1 9 9 8 ; P r a t t o, 1 9 9 9 ) ,
p e o p l e m a y e n g a g e i n m o t i v a t e d r e a s o n i n g , s o t h a t t h e y c a n
m a i n t a i n o n c e - f o r m e d s t e re o ty p e s . A s K u n d a a n d O l e s o n ( 1 9 9 5 )
n o t e d , s u c h p r o c e s s e s o f ju s t i f i c a t i o n o f e s t a b l i s h e d i m p r e s s i o n s
m a y b e a s i g n i f i c a n t s o u r c e o f s t e r e o ty p e m a i n t e n a n c e . H o f f m a n
a n d H u r s t ( 1 9 9 0 ) a r g u e d t h a t g e n d e r s t e r e o t y p e s ( a n d p r o b a b l y
s t e r e o t y p e s i n g e n e r a l ) a r e b a s e d n o t o n l y o n o b s e r v e d c o v a r i a t i o n
b e t w e e n g r o u p c a t e g o r i e s a n d r o l e o c c u p a n c y , a s a r g u e d b y E a g l y
a n d S t e f f e n ( 1 9 8 4 ) , b u t a l s o o n j u s t i f i c a t i o n s t h a t p e o p l e m a k e
a b o u t t h e g r o u p d i f f e r e n c e ( s e e J o s t & B a n a j i , 1 9 9 4 , f o r a r e l a t e d
p o i n t ) .
A n o t h e r s o u r c e o f t h e s t a b i l i t y o f s t e r e o t y p e s m a y b e t h e i n f o r -
m a t i o n e n v i r o n m e n t i n w h i c h t h e c o g n i t i v e s y s t e m r e s i d e s , t h a t i s,
t h e s o c i o c u l t u r a l e n v i r o n m e n t . I n p a r t i c u l a r, a s o c i a l s t e r e o t y p e
m a y b e s u s t a in e d b e c a u s e a s o c ia l o b s e r v e r ' s e n v i r o n m e n t , f r o m
w h i c h s t e r e o t y p e - r e l e v a n t i n f o r m a t i o n i s l e a r n e d , p r o v i d e s a s t e a d y
f l o w o f a s i m i l a r m i x o f s t e r e o t y p e - c o n s i s t e n t a n d s t e r e o t y p e -
i n c o n s i s t e n t i n f o r m a t i o n . A s O a k e s e t a l . ( 1 9 9 4 ) a r g u e d , t h e i n t e r -
g r o u p r e l a t i o n s h i p s t h a t a c t u a l l y e x i s t b e t w e e n t h e p e r c e i v e r ' s
i n g r o u p s a n d o u t g r o u p s m a y p r o v i d e a s t r o n g b a s i s f o r s t e r e o t yp e s .
A l t e r n a t iv e l y , u n d e r s o m e c i r c um s t a n c e s , a s J u s s i m a n d F l e m i n g
( 1 9 9 6 ) n o t e d , a s t e r e o t y p i c a l e x p e c t a t i o n m a y a c t a s a s e l f -
f u l f i l l i n g p r o p h e c y , b r i n g i n g t h e s o c i a l r e a l i ty i n l i n e w i t h t h e
s t e r e o t y p e ( e . g . , R o s e n t h a l & J a c o b s o n , 1 9 6 8 ) . M a c k i e a n d
S m i t h ' s ( 1 9 9 8 ) r e v i e w s h o w s t h a t s t e r e o t y p i n g c a n b e c o n c e p t u -
a l i z e d w i t h i n a n i n t e g r a t i v e f r a m e w o r k o f i n t e r g r o u p r e l a ti o n s h i p s .
A s B a r t l e t t ( 1 9 3 2 ) a n d A l l p o r t a n d P o s t m a n ( 1 9 4 7 ) n o t e d l o n g
a g o , c u l t u r a l l y s h ar e d s t e r e o t y p e s m a y p e r s i s t a s t h e y a r e t o l d a n d
r e t ol d i n i n f o r m a l c o m m u n i c a t i o n . I n k e e p i n g w i t h t h i s , K a s h i m a
( 2 0 0 0 b ) s h o w e d t h a t s t e r e o t y p e - c o n s i s t e n t i n f o r m a t i o n t e n d s to b e
r e t a i n e d b e t t e r t h a n s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a t i o n a s a s t o r y
e m b e d d i n g s t e r e o t y p e - r e l e v a n t i n f o r m a t i o n i s t r a n s m i t t e d f r o m
o n e p e r s o n t o t h e n e x t . C u l t u r a l l y s t r u c t u r e d e x p l a n a t i o n s a n d
j u s t i f i c a t i o n s . a r e l i k e l y t o p l a y a s i g n i f i c a n t r o l e i n s t e r e o t y p e
m a i n t e n a n c e i n c o n j u n c t i o n w i t h t h e i n t e rg r o u p r e l a t io n s h i p s ( M c -
G a r r y , 1 9 9 9 ) . W h a t i s r e q u i r e d i s a s o c i a l p s y c h o l o g y o f c u l t u r a l
d y n a m i c s ( K a s h i m a , 2 0 0 0 a , 2 0 0 0 c ) , t h a t i s , a s y s t e m a t i c i n v e s t i -
g a t i o n o f t h e d y n a m i c s i n v o l v e d i n t h e s o c i o c u lt u r a l e m b e d d i n g o f
s t e r e o t y p e s a s d y n a m i c c o n f i g u r a t i o n s .
A l l i n a l l , c o n n e c t i o n i s t m o d e l i n g o f l a b o r a t o r y - b a s e d g r o u p
i m p r e s s i o n s c a n p r o v i d e i n s i g h t s i n t o t h e s o c i a l - p s y c h o l o g i c a l
p r o c e s s i n v o l v i n g e x i s t i n g s o c i a l s t e r eo t y p e s . T h i s i s p o s s i b l e
b e c a u s e s t r o n g t h e o r ie s c a n l a y a s o l i d f o u n d a t i o n f o r l a b o r a t o r y
p h e n o m e n a , a n d t h e c r e d i b i l i t y o f t h e t h e o r y c a n b e u s e d a s a b a s i s
f o r p r i n c i p l e d g e n e r a l i z a t i o n o f t h e o r e t ic a l i n s i g h t s t o t h e r e a l -
l i f e p h e n o m e n a i n s o c i o c u l t u r a l c o n t e x t .
oncluding Remarks
I n 1 9 5 2 , A s c h d e s c r i b e d t h e s t a t e o f k n o w l e d g e a b o u t g r o u p
i m p r e s s i o n f o r m a t i o n a n d c h a n g e :
We know li tt le today of the question at issue, mainly because of our
failure to study directly the process of impression-forming. Therefore
we are n ot in a position to answer certain first questions such as: What
are the organizational properties of group impressions? In what re-
spects do they differ among individuals? What conditions determine
their rigidity and lability? (p. 235)
W e h a v e i n d e e d m a d e s o m e h e a d w a y b u t a r e n o w o n l y b e g i n n i n g
t o a n s w e r t h e s e q u e s t i o n s i n a t h e o r e t i c a l l y p r i n c i p l e d m a n n e r .
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G R O U P I M P R E S S I O N S A S D Y N A M I C C O N F I G U R A T I O N S 9 7
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941
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Group Impression Formation and Information Environm ent Equation 19)
T h e r e a r e f i v e s i m p l i f y i n g a s s u m p t i o n s . F i rs t , t h e re i s s o m e i n f l u e n c e o f
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t h e j u d g m e n t , J ( G i ) o = M a t c h ( M o , H ) / [ M a t c h ( M o , H ) + M a tc h (M _ o , L ) ] ,
i s a s s u m e d t o b e S o , w h i c h i s a s s u m e d t o b e c l o s e t o t h e n e u t r a l p o i n t o f t h e
s c a l e ( . 5 ). S e c o n d , a l l p o s i t i v e a n d n e g a t i v e p i e c e s o f i n f o r m a t i o n a r e
r e p r e s e n t e d b y
p
a n d e n . A s s u m e Sp = ( % " h ) / [ ( e p • h ) + ( e p " 1 )] a n d s ~
= ( e~ • h ) / [ ( % • h ) + ( e , • 1 ) ] ( .5 <
Sp
< 1 a n d 0 < s , < . 5 ; s o t h a t s , <
s o < s p ) . T h i r d , b o t h t h e a t t e n t i o n a n d f o r g e t t i n g p a r a m e t e r s a r e a s s u m e d
t o b e I . F o u r t h , a s s u m e t h a t e v e r y p e r s o n i s r e p r e s e n t e d a s r . F i n a l l y ,
a s s u m e t h a t
[ M a t c h ( M 0 , H ) + M a t c h ( M 0 , L ) ] = [ ( e p " h ) + ( e p . 1)]
= [ ( e n ° h ) + ( e n I ) ] .
U n d e r t h e s i m p l i f y i n g a s s u m p t i o n s , t h e m e m o r y r e p r e s e n t a t i o n a f te r t h e
J t h g r o u p m e m b e r i s
M j = M 0 + J p E p + J ( 1 - p ) E ~ , ( A 1 )
w h e r e E p = g l ® r ® p ® x I and E n = g l ® r ® e . ® x~ , and p i s the
p r o b a b i l i ty o f p o s i t i v e e v e n t s a n d ( 1 - p ) i s t h e p r o b a b i l i ty o f n e g a t i v e
e v e n t s . W h e n t h i s r e p r e s e n t a t i o n is a c c e s s e d b y H a n d L , t h e j u d g m e n t
a f t e r t h e J t h g r o u p m e m b e r i s
J ( G i ) j = M a t c h ( M s , H ) / [ M a t c h ( M s , H ) + M a t c h ( M s , L ) ] ( 8)
= [ (So + J p s e + J ( 1 - p ) s , ] / [ J + 1 ] . ( A 2 )
E q u a t i o n A 2 i s E q u a t i o n 1 9 i n t h e te x t .
W h e n J i s c o n s t a n t , J ( G i ) J a p p r o a c h e s ( so + J s p ) l ( 1 + J ) a s p a p -
p r o a c h e s 1 . W h e n J b e c o m e s v e r y l a rg e , J ( G ~ ) a p p r o a c h e s p s p + ( 1 - p ) s ~ ,
t h a t i s, t h e a v e r a g e o f t h e p o s i t i v e a n d n e g a t i v e i n f o r m a t i o n . W h e n J i s
r e l a t i v e l y s m a l l a n d p i s c o n s t a n t , t h e c h a n g e o f J ( G ~ ) w h e n J i n c r e a s es
b y 1 i s
J ( G , ) ~ - J ( G , ) j - i = [ p - - (S o - - s , ) l ( s p - - s , ) ] l ( s p - - s , ) ( Y + 1 ) Y . ( A 3 )
N o t e t h a t E q u a t i o n A 3 s h o w s t h a t th i s i s p o s i ti v e ( i .e . , j u d g m e n t b e c o m e s
m o r e p o s i t i v e ) , w h e n p - ( s o - s , ) l ( s , - s , ) > 0 ( sp - s , > 0 ; J > 0) . I t
i s n e g a t i v e o t h e r w i s e .
Stereotype Change Equations 23 and 24)
T h e r e a r e f i v e s i m p l i f y i n g a s s u m p t i o n s . F i r s t, t h e r e i s a s t e r e o t y p e a b o u t
g r o u p i . T h a t i s , w h e n g r o u p i i s j u d g e d i n t e r m s o f I t a n d L w i t h o u t n e w
i n f o r m a t i o n , t h e j u d g m e n t , J ( G i ) o = M a t c h ( M o , H ) / [ M a t c h ( M o , H ) +
M a t c h ( M o , L ) ] , i s a s s u m e d t o b e s o w h e r e . 5 < s o < 1 . S e c o n d , a l l
s t e r e o t y p e - c o n s i s t e n t a n d s t e r e o t y p e - i n c o n s i s t e n t i n f o r m a t i o n a r e r e p r e -
s e n t e d b y e c a n d e l , a n d a s s u m e t h a t s c = (e c • h ) / [ ( e c • h ) + ( e c • I ) ] and
s = ( e • h ) / [ ( e • h ) + ( e • ) ] ( .5 <
s c
< 1 a n d 0 < s < . 5 ) . T h i r d , b o t h
t h e a t t e n t i o n a n d f o r g e t t i n g p a r a m e t e r s a r e 1 . F o u r t h , a s s u m e ( P c " r ) = 1
a n d ( P I " r ) = ~" < 1 . F i n a l l y , a s s u m e [M a t c h ( M o , H ) + M a t c h ( M o , L ) ] =
[ (ec . h ) + ( e c . l ) ] = [ ( e . h ) + ( e - I ) ] .
U n d e r t h e s e a s s u m p t i o n s , t h e m e m o r y r e p r e s e n t a ti o n a f t e r t h e J t h g r o u p
m e m b e r i s
M j = M 0 + J c E c + J t E t , ( A 4 )
w h e r e E c = g i ® P c ® e c ® x l a n d E I = g l ® P l ® e i ® x i , and J = J c
+ 3 1 ( J c = n u m b e r o f s t e r e o t y p e - co n s i s t e n t s t im u l i , a n d -/1 = n u m b e r o f
s t e r e o t y p e - i n c o n s i s t e n t s t i m u l i ) .
G r o u p T a r g e t
W h e n t h e t a r g e t i s a g r o u p , t h e re p r e s e n t at i o n , M s , i s a c c e s s e d b y H a n d
L , a n d t h e j u d g m e n t i s
J ( G i ) , = [ ( s o + ( P c " r ) J c s c + ( P I " r ) J : , ] / [ 1 + ( P c " r ) J c + ( P I " r ) J , ]
= [ ( So + J c s c +
r J i s l ] l [ 1 + Jc + r J t ].
( A 5 )
E q u a t i o n A 5 i s E q u a t i o n 2 3 .
erson Target
W h e n t h e t a r g et i s a n i n d i v i d u a l, t h e a c c e s s i n g c u e s i n c l u d e t h e t a r g e t
p e r s o n r e p r e s en t a t i o n , l r r . T h e m e n t a l r e p r e s e n t a t i o n M s ( E q u a t i o n A 2 ) i s
a c c e s s e d b y H ' = g i ® P ' r ® h ® x I a n d L ' = g i ® P r ® 1 @ x I . B y
m o d i f y i n g E q u a t i o n A 3 , t h e j u d g m e n t i s
J ( G , , P) = [~ ' r s0 + r : ,, /cSc + (P I" P r ) J : i ] / [ ' r r + r ~I c + ( P I " P r ) J , ] ,
( A 6 )
w h e r e ~ 'r = ( r • P x ) = ( P c " P T ) , t h e t y p i c a l i t y o f t h e t a r g e t p e r s o n .
E q u a t i o n A 6 i s E q u a t i o n 2 4 .
Details of the Simulations
I n a l l s i m u l a t i o n s , r e l e v a n t t e n s o r s a n d v e c t o r s w e r e g e n e r a t e d a s f o l -
l o w s . M o is a t e n s o r w h o s e d e m e n t i s a r a n d o m n u m b e r b e t w e e n 0 a n d 1 .
A l l v e c t o r s w e r e c o n s t r u c t e d b y f i r st g e n e r a t in g a 1 0 - e l e m e n t v e c t o r w i t h
a r a n d o m n u m b e r b e t w e e n 0 a n d 1 f o r e a c h e l e m e n t c o n f o r m i n g t o a
s p e c i fi c a t io n , a d d i n g a s m a l l r a n d o m v e c t o r ( l e n g t h = . 1 ) an d n o r m a l i z i n g
i t ( m a k i n g i t s l e n g t h u n i t y ) . T h e r e p r e s e n t a t i o n s f o r a g r o u p , a g r o u p
m e m b e r , a n d a c o n t e x t w e r e r a n d o m v e c t o r s , g , p , a n d x. A n e w r a n d o m
v e c t o r w a s c o m p u t e d f o r a n e w g r o u p , a n e w p e r s o n , a n d a n e w c o n t e x t .
T h e h i g h a n d l o w e n d s o f a j u d g m e n t s c a l e ( e . g ., a t t it u d e o r s t e r e o t y p e
c o n s i s t e n c y ) , h a n d , w e r e s p e c i f i e d s o t h a t ( h • ) = 0 ; s t i m u l i e h a n d e I
7/25/2019 Kashima, Woolcock, & Kashima 2000
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9 4 2
K A S H I M A , W O O L C O C K , A N D K A S H I M A
T a b l e A 1
Distribution of Events Used in the Simulation or the Group Differentiation
G r o u p
L e a r n i n g p h a s e C h a n g e p h a s e
1a 2 3 4 5 6 7 8 9 1a 2 3 4 5 6 7 8
F oc a l g r oup 4 16 4 2 4 4 4 4 4 2
Con t e x t G r oup 1 4 16 4 4 16 4
Con t e x t G r oup 2 4 16 4 4 16
a V a l ue o f s , w he r e a n e v e n t ' s s c a l e va l ue i s s/lO.
we re so tha t ( eh h) / [ (eh h) + (eh 1)] = .9 and (e • h) / [ (e • h) + (e l I ) ]
= . 1 .
T o s i mul a t e t he ma i n e xpe r i m e n t , h i gh a nd l ow s t i mul i f o r a r e l a t e d t op i c
we re e rh and e r l , so tha t ( e rh • eh) = ,7 and (e r l • e l ) = .7 .
F or t he s t e r e o t ype c ha ng e s i mul a t i on , 80 s t e r e o t ype - c on s i s t e n t , 10
s t e r e o t ype - i nc ons i s t e n t , a nd 10 s t e r e o t ype - i r r e l e va n t e xe m pl a r s w e r e p r e -
se n t e d i n t he l e a r n i ng pha se . T he spe c i f i c a t i ons f o r s t e r e o t ype - c ons i s t e n t ,
s t e r e o t ype - i nc ons i s t e n t , a nd s t e r e o t ype - i r r e l e va n t i n f o r ma t i on w e r e e c , e ~,
a nd e R , w he r e ( e c • h ) / [ ( e c • h ) + ( ec • 1)] = .9, (ei h)/[ (el • h) + (e • 1)]
= . 1 , a nd ( eR • h ) = ( eR • I ) = 0. The ta rge t per s on represen ta t ion, PT , was
ma de s i mi l a r t o t he g r oup me mbe r s ( do t p r oduc t be t w e e n . 6 a nd . 8 ) .
F or t he g r oup d i f f e r e n t i a ti on s i mul a t i on , e ve n t r e p r e se n t a t i ons , es , w i t h
d i f f e r e n t s c a l e va lue s w e r e spe c i f i e d so t ha t ( es • h) / [ (e s • h) + (es • I)] =
s / 10 , w he r e s t ook a n i n t e ge r f r om 1 t o 9 . T he f oc a l a nd c on t e x t g r oups
w e r e g l a nd g2 , so t ha t ( g l g2 ) = 0 ( f oc a l g r oup = G r oup 1 w i t h s c a l e
va l ue s be t w e e n . 4 a nd . 6, a nd c on t e x t g r oup = G r oup 2 w i t h s c a l e va l ue s
r a ng i ng f r om . 1 t o . 3 o r . 7 t o . 9 ). T h e d i s t r i bu t i on o f e ve n t s f o r t he
s i mul a t i on i s p r e se n t e d i n T a b l e A 1 . T he p e r son r e p r e se n t a t i on w a s c on -
s t r uc t e d fo r G r oup 1 ,
i f
~ l j k (
. 5 t h e p e r s o n r e p r e s e n t a t i o n = P t l , s u c h t h a t ( P lj r ) < l ;
o t h e r w i s e , t h e p e r s o n r e p r e s e n t a t i o n = r .
T he pe r son r e p r e se n t a t i on w a s c ons t r uc t e d a na l ogous l y f o r G r oup 2 .
R e c e i v e d M a r c h 5 , 1 9 9 9
R e v i s i o n r e c e i v e d J a n u a r y 3 1 , 2 0 0 0
A c c e p t e d F e b r u a r y 2 3 , 2 0 0 0 •
N e w E d i to r s A p p o i n t ed 2 0 0 2 - 2 0 0 7
T h e P u b l i c a ti o n s a n d C o m m u n i c a t i o n s B o a r d o f t h e A m e r i c a n P s y c h o l o g i c a l A s s o c ia -
t i o n a n n o u n c e s t h e a p p o i n t m e n t o f f i v e n e w e d i t o r s f o r 6 - y e a r t e r m s b e g i n n i n g i n 2 0 0 2 .
A s o f J a n u a r y 1 , 2 0 0 1 , m a n u s c r i p t s s h o u l d b e d i r e c t e d a s fo l l o w s :
F o r Behavioral Neuroscience s u b m i t m a n u s c r i p t s t o J o h n F . D i s t e r h o f t, P h D , D e p a r t -
m e n t o f C e l l a n d M o l e c u l a r B i o l o g y , N o r t h w e s t e r n U n i v e r s i t y M e d i c a l S c h o o l , 3 0 3 E .
C h i c a g o A v e n u e , C h i c a g o , I L 6 0 6 1 1 - 3 0 0 8 .
F o r t h e Journal of Experimental Psychology: Applied s u b m i t m a n u s c r i p t s t o P h i l li p L .
A c k e r m a n , P h D , G e o r g i a I n s ti tu t e o f T e ch n o l o g y , S c h o o l o f P s y c h o l o g y , M C 0 1 7 0 , 2 7 4
5 t h S t r e e t, A t l a n t a , G A 3 0 3 3 2 - 0 1 7 0 .
F o r t h e Journal of Experimental Psychology: General s u b m i t m a n u s c r i p t s t o D . S t e p h e n
L i n d s a y , P h D , D e p a r t m e n t o f P s y c h o l o g y , U n i v e r s i t y o f V i c to r i a , P . O . B o x 3 0 5 0 , V i c t o r ia ,
B r i t is h C o l u m b i a , C a n a d a V 8 W 3 P 5 .
• F o r Neuropsychology s u b m i t m a n u s c r i p ts t o J a m e s T . B e c k e r , P h D , N e u r o p s y c h o l o g y
R e s e a r c h P r o g r a m , 3 5 0 1 F o r b e s A v e n u e , S u i t e 83 0 , P it t s b u r g h , P A 1 5 2 1 3 .
• F o r Psychological Methods s u b m i t m a n u s c r i p ts t o S t e p h e n G . W e s t , P h D , D e p a r t m e n t o f
P s y c h o l o g y , A r i z o n a S t a t e U n i v e r s i t y , T e m p e , A Z 8 5 2 8 7 - 1 1 0 4 .
M a n u s c r i p t s u b m i s s i o n p a t t e r n s m a k e t h e p r e c i s e d a t e o f c o m p l e t i o n o f t h e 2 0 01 v o l -
u m e s u n c e r ta i n . C u r r e n t e d i t o r s , M i c h e l a G a l la g h e r , P h D ; R a y m o n d S . N i c k e r s o n , P h D ; N o r a
S . N e w c o m b e , P h D ; P a t r i c i a B . S u t k e r, P h D ; a n d M a r k I . A p p e l b a u m , P h D , r e s p e c t i v e l y , w i ll
r e c e iv e a n d c o n s i d e r m a n u s c r i p t s t h ro u g h D e c e m b e r 3 1 , 2 00 0 . S h o u l d 2 0 0 1 v o l u m e s b e c o m -
p l e t e d b e f o r e t h a t d a t e , m a n u s c r i p t s w i l l b e r e d i r e c t ed t o t h e n e w e d i t o r s f o r c o n s i d e r a t i o n i n
2 0 0 2 v o l u m e s .