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variablesvariables
QUALITATIVE QUANTITATIVE
NOMINAL ORDINAL INTERVAL RATIO
CONTINOUSDISCRITE
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MEASUREMENTMEASUREMENT
An integrative process ofAn integrative process ofeter!ining t"e a!o#nt $oreter!ining t"e a!o#nt $orintensit%& of infor!ationintensit%& of infor!ationabo#t person' event orabo#t person' event orob(ect of interest)ob(ect of interest)
*rocess of observing an*rocess of observing anrecoring t"e observations)recoring t"e observations)
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T"e process of assigning a set ofT"e process of assigning a set of
escriptors to represent t"e range ofescriptors to represent t"e range ofpossible responses to a +#estion abo#tpossible responses to a +#estion abo#t
a partic#lar ob(ect)a partic#lar ob(ect)
Scaling is t"e assign!ent of ob(ects toScaling is t"e assign!ent of ob(ects to
n#!bers accoring to a r#le)n#!bers accoring to a r#le)
It is a !eas#re in ,"ic" aIt is a !eas#re in ,"ic" a
researc"er capt#res t"e intensit%'researc"er capt#res t"e intensit%'
irection' level or potenc% of a variableirection' level or potenc% of a variable
constr#ct)constr#ct)
ScalesScales
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Orer-Orer-refers to t"e abilit% to .no, ifrefers to t"e abilit% to .no, ifone +#antit% is greater t"an' e+#al to'one +#antit% is greater t"an' e+#al to'
or less t"an anot"er +#antit%)or less t"an anot"er +#antit%)
E+#al intervals-E+#al intervals-!eans t"at t"e!eans t"at t"e
possible scores are eac" an e+#alpossible scores are eac" an e+#alistance fro! eac" ot"er)istance fro! eac" ot"er)
Absol#te /ero-Absol#te /ero-refers to a point ,"ererefers to a point ,"ere
none of t"e +#antit%none of t"e +#antit%is present) oris present) orabsence of t"e val#eabsence of t"e val#e' ,"ere a score of' ,"ere a score of
/ero can be assigne)/ero can be assigne)
Ma nit#e-Ma nit#e- #antit#antit
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if ,e "ear t"at a person "as noa!o#nt of !one% in "is poc.et
,e #nerstan t"e /ero val#e oft"e a!o#nt)
*rices of college te0t boo.s are/ero $12 represents no cost&
Lengt" of ,all is /ero' !eans ofno ,all
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NOMINALT"e na!eT"e na!e 8No!inal88No!inal8co!esco!esfro! t"efro! t"e LatinLatin nomennomen''
!eaning!eaning 8na!e88na!e8ananno!inal ata are ite!sno!inal ata are ite!s
,"ic" are ifferentiate b%,"ic" are ifferentiate b%a si!ple na!ing s%ste!)a si!ple na!ing s%ste!)
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NOMINAL-$NAME NOMIAL&Relating to na!es i)e) na!es
are assigne to ob(ects orlabels) No!inal ite!s are #s#all%
categorical' ,)o) an% orer or"aving no n#!erical val#e)
E)g)' if one collects people8s soft9rin. lic.ing an optionsprovie as
*e si Co.e Mo#ntain De, etc)
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NOMINAL
T"e cr#est of !eas#re!entT"e cr#est of !eas#re!entscales' classifies inivi#als'scales' classifies inivi#als'
co!panies' pro#cts' bransco!panies' pro#cts' brans
or ot"er entities intoor ot"er entities into
categories ,"ere no orer iscategories ,"ere no orer is
i!plie)i!plie)
E l
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E0a!pleE0a!pleNo!inall% scaleNo!inall% scalet"e nationalit% oft"e nationalit% of
inivi#als in a gro#p of to#rists to a co#ntr%inivi#als in a gro#p of to#rists to a co#ntr%#ring a certain %ear)#ring a certain %ear)
5e co#l no!inall% scale t"is variable in t"e5e co#l no!inall% scale t"is variable in t"e
follo,ingfollo,ing !#t#all% e0cl#sive an!#t#all% e0cl#sive an
collectivel% e0"a#stive categories)collectivel% e0"a#stive categories) A!erican :apaneseA!erican :apanese R#ssian Mala%sianR#ssian Mala%sian
C"inese 6er!anC"inese 6er!an Arabian Ot"erArabian Ot"er
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E;AM*LESE;AM*LES
Universit% epart!ents'Universit% epart!ents'
Vegetables' 7r#its' Te0tileVegetables' 7r#its' Te0tile
factories' Ice9crea!factories' Ice9crea!
flavo#rs' Oil brans'flavo#rs' Oil brans'
Co#ntries'
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NOMINAL
If t"e%8re n#!erical' t"en#!bers "ave no !eaning$(#st =na!e=(#st =na!e= &)
3 > ?@ an 3 > B ,e cantsa% "o#se B is greater t"an
"o#se ?@' beca#se it is a"ig"er n#!ber)
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E;AM*LESE;AM*LES7or e0a!ple- $7or e0a!ple- $6ener categori/e as6ener categori/e as&& 6ener-6ener- ? 7e!ale'? 7e!ale' B MaleB Male Marital stat#s-Marital stat#s- ? Single' B Marrie'? Single' B Marrie' Divorce' Divorce'
5io,e5io,e Ma.e of car-Ma.e of car-? 7or' B NISSAN? 7or' B NISSAN) ) )) ) )
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No!inal ScaleNo!inal cale A no!inal scale is one t"at allo,s t"eA no!inal scale is one t"at allo,s t"e
researc"er to assign s#b(ects to certainresearc"er to assign s#b(ects to certaincategories or gro#ps)categories or gro#ps)
5"at is %o#r epart!entH5"at is %o#r epart!entH
O Mar.etingO Mar.eting O MaintenanceO Maintenance
OO*ro#ction*ro#ction O ServicingO Servicing
O SalesO Sales O *#blic RelationsO *#blic Relations
O Acco#ntingO Acco#nting O 7inanceO 7inance
O *ersonnelO *ersonnel O 7inanceO 7inance
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Note t"at no!inal scale ,illNote t"at no!inal scale ,illallo, co!p#tation of t"eallo, co!p#tation of t"e
n#!bers an percentages ofn#!bers an percentages of
responents t"at fit intoresponents t"at fit intot"e!)t"e!)
5e can #se
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Responent8s Se0
636 41.9
881 58.1
1517 100.0
Male
Female
Total
Valid Frequency Percent
Race of Responent
1264 83.3
204 13.4
49 3.2
1517 100.0
!ite
"lac#
$t!er
Total
ValidFrequency Percent
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B-Orinal Scale Data !eas#re can be place intoData !eas#re can be place into
categories' an t"ese categoriescategories' an t"ese categoriescan be orere or ran.ecan be orere or ran.e ' i)e)ifferences b, ata val#es are
!eaningf#l an also s"o,s less t"anor !ore t"an' b#t not b% "o, !#c"$!ag)&)
Data can be ran.e arrangeData can be ran.e arrange$s#c" as lo, to "ig" or !ost to$s#c" as lo, to "ig" or !ost to
least&least&
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Orinal ata' "as no
!agnit#e' it "as an abilit%to .no, one is greater t"an
or less t"an to anot"erone)
or orer fro! greatest tolo,est
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Orinal variables allo, #s to ran. orert"e ite!s ,e !eas#re in ter!s of ,"ic"
"as less an ,"ic" "as !ore of t"e+#alit% represente b% t"e variable' b#tstill t"e% o not allo, #s to sa% ="o,
!#c" !ore)= A t%pical e0a!ple of anorinal variable is t"e socioecono!icstat#s of fa!ilies) 7or e0a!ple' ,e .no,t"at #pper9!ile is "ig"er t"an !ileb#t ,e cannot sa% t"at it is' for e0a!ple'?JK "ig"er)
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T"e orer !atters) So' ?stis no,a"ea of Bn)
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In orinal!eas#re!ent t"e attrib#tes can be
ran.9orere) 3ere' istances bet,eenattrib#tes o not "ave an% !eaning) 7ore0a!ple' on a s#rve% %o# !ig"t coeE#cational Attain!ent as 2less t"an 3)S)?so!e 3)S) B3)S) egree so!ecollege college egree @post college) Int"is !eas#re' "ig"er n#!bers !ean more
e#cation)
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%&am'le(%&am'le(T"e @2 states in orer of pop#lation-T"e @2 states in orer of pop#lation- ? California? California
B Te0asB Te0as
Ne, 4or. Ne, 4or.
) ) ) @2 5%o!ing) ) ) @2 5%o!ing
Cancer stagingCancer staging
Inco!e $ L M 3 &Inco!e $ L M 3 &
Co#rse graes A'
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5"en a !ar.et researc"er as.s5"en a !ar.et researc"er as.s
%o# to ran. t%pes of (#ices fro!%o# to ran. t%pes of (#ices fro!
!ost flavo#rf#l to least flavo#rf#l'!ost flavo#rf#l to least flavo#rf#l'
"es"e is as.ing %o# to create an"es"e is as.ing %o# to create an
orinal scale of preference)orinal scale of preference)4o# s"o#l ran. t"e !ost4o# s"o#l ran. t"e !ost
i!portant ite! as ?' t"e ne0t ini!portant ite! as ?' t"e ne0t in
i!portance a B' an so on' #ntili!portance a B' an so on' #ntil
%o# "ave ran.e eac" of t"e! ?' B'%o# "ave ran.e eac" of t"e! ?' B'
' or )' or )
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E0a!ple BE0a!ple B
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E0a!ple BE0a!ple BRan. t"e follo,ing fiveRan. t"e follo,ing five
c"aracteristics in a (ob in ter!sc"aracteristics in a (ob in ter!sof "o, i!portant t"e% are forof "o, i!portant t"e% are for
%o#)%o#)
4o# s"o#l ran. t"e !ost4o# s"o#l ran. t"e !ost
i!portant ite! as ?' t"e ne0t ini!portant ite! as ?' t"e ne0t in
i!portance a B' an so on' #ntili!portance a B' an so on' #ntil%o# "ave ran.e eac" of t"e! ?'%o# "ave ran.e eac" of t"e! ?'
B' ' ' or @)B' ' ' or @)
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E0a!ple B $Cont &E0a!ple B $Cont &
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E0a!ple B $Cont)&E0a!ple B $Cont)&
5e can see t"at t"e orinal scale5e can see t"at t"e orinal scale
provies !ore infor!ationprovies !ore infor!ationt"an t"et"an t"eno!inal scale) Even t"o#g"no!inal scale) Even t"o#g"
ifferences in t"e ran.ing of ob(ects'ifferences in t"e ran.ing of ob(ects'
persons are clearl% .no,n' ,e o notpersons are clearl% .no,n' ,e o not
.no, t"eir !agnit#e).no, t"eir !agnit#e)
T"is eficienc% is overco!e b%T"is eficienc% is overco!e b%interval scaling)interval scaling)
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E lE l
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E0a!plesE0a!plesRan.ing of tea!s in a to#rna!entRan.ing of tea!s in a to#rna!entSocioecono!ic classSocioecono!ic classOcc#pational stat#sOcc#pational stat#s
St#ents of a #niversit% are classifieSt#ents of a #niversit% are classifies#c" as 7res"!an' Sop"o!ore's#c" as 7res"!an' Sop"o!ore'
:#nior' or Senior):#nior' or Senior)
Alternativel%' a n#!eric coe co#lAlternativel%' a n#!eric coe co#lbe #se for t"e class staningbe #se for t"e class staning
variable $e)g) ? 7res"!an' B variable $e)g) ? 7res"!an' B
Sop"o!ore' (#nior Senior&)Sop"o!ore' (#nior Senior&)
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-Interval Scale
Interval ata $Interval ata $integerinteger& is& is!eas#re along a scale in!eas#re along a scale in
,"ic" eac" position is,"ic" eac" position is
e+#iistant fro! one anot"er)e+#iistant fro! one anot"er)
T"is allo,s for t"e istanceT"is allo,s for t"e istance
bet,een t,o pairs to bebet,een t,o pairs to bee+#ivalent in so!e ,a%)e+#ivalent in so!e ,a%)
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St ti * i t 7 i * i tSt ti * i t 7 i * i t
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Starting *oint or 7ree/ing *ointStarting *oint or 7ree/ing *oint
2222 C BC B2277
Ter!inating *oint boiling *ointTer!inating *oint boiling *oint
?22?2222C or B?BC or B?B2277
T"e gap b, free/ing anT"e gap b, free/ing an
boiling points is iviing intoboiling points is iviing into
?22 e+#all% space intervals'?22 e+#all% space intervals'.no,n egrees.no,n egrees
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If t"e te!perat#reIf t"e te!perat#re
toa% is 2toa% is 222egreesegreesan %estera% it ,asan %estera% it ,as
?2?222' ,e co#l not sa%' ,e co#l not sa%
t"at it no, is t"reet"at it no, is t"ree
ti!es as ,ar!)ti!es as ,ar!)
A t" t ti A t" t ti
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As t"e starting anAs t"e starting an
ter!inating points areter!inating points are
arbitrar%' t"e% are notarbitrar%' t"e% are not
absol#te' t"at is ,"% ,eabsol#te' t"at is ,"% ,e
cant sa% t"at 2cant sa% t"at 222C is t,iceC is t,iceas "ot as 2as "ot as 222C or 2C or 2227 is7 is
t"ree ti!es "otter t"an ?2t"ree ti!es "otter t"an ?222
7)7)
It i ibl t It i ibl t
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It is possible to a orIt is possible to a or
s#btract a constant tos#btract a constant toall of t"e scale val#esall of t"e scale val#es
,it"o#t affecting t"e,it"o#t affecting t"efor! of t"e scale b#tfor! of t"e scale b#t
one cannot !#ltipl% orone cannot !#ltipl% orivie t"e val#esivie t"e val#es
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5e can sa% t"at a5e can sa% t"at a
te!perat#re of @2te!perat#re of @2egrees is "ig"eregrees is "ig"er
t"an a te!perat#re oft"an a te!perat#re ofB@ egrees)B@ egrees)
IQ- T"ere is a !eaningf#l ifferenceIQ- T"ere is a !eaningf#l ifference
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IQ- T"ere is a !eaningf#l ifferenceIQ- T"ere is a !eaningf#l ifferenceof @ points b, an IQ score of @of @ points b, an IQ score of @
an ?@2 of t,o st#ents)an ?@2 of t,o st#ents),e co#l not sa% t"at Dani%a is,e co#l not sa% t"at Dani%a is
t,ice as intelligent as Ma"a' event,ice as intelligent as Ma"a' even,"en t"eir res#lts in an intelligence,"en t"eir res#lts in an intelligence
test ,ere ?@2 an @ respectivel%)test ,ere ?@2 an @ respectivel%)
T" l ti b T"e elapse ti!e b, an
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T"e elapse ti!e b, anT"e elapse ti!e b, an
A)M) e+#als t"e ti!e b, A)M) e+#als t"e ti!e b, an A)M) one can not sa%an A)M) one can not sa%
"o,ever' A)M) is t,ice as"o,ever' A)M) is t,ice aslate as A)M) beca#se /erolate as A)M) beca#se /ero
ti!e is an arbitrar% origin)ti!e is an arbitrar% origin)
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E l E l
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E0a!ple aE0a!ple a Inicate t"e e0tent to ,"ic" %o#Inicate t"e e0tent to ,"ic" %o#
agree ,it" t"e follo,ing state!entsagree ,it" t"e follo,ing state!entsas t"e% relate to %o#r (ob' b% circlingas t"e% relate to %o#r (ob' b% circlingt"e appropriate n#!ber against eac"'t"e appropriate n#!ber against eac"'
#sing t"e scale given belo,)#sing t"e scale given belo,) strongl% isagree ?' Disagree Bstrongl% isagree ?' Disagree B
Neit"er Agree Nor Disagree Neit"er Agree Nor Disagree
Agree ' Strongl% Agree @)Agree ' Strongl% Agree @)
E0a!ple a $Cont &E0a!ple a $Cont &
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E0a!ple a $Cont)&E0a!ple a $Cont)&T"e follo,ing opport#nitiesT"e follo,ing opport#nities
offere b% t"e (ob are ver%offere b% t"e (ob are ver%i!portant to !e-i!portant to !e-
Interacting ,it" ot"ersInteracting ,it" ot"ers ?? BB @@Using a n#!ber ofUsing a n#!ber ofifferent s.illsifferent s.ills
?? BB @@
Co!pleting a tas.Co!pleting a tas.
fro! beginning to enfro! beginning to en
?? BB @@
Serving ot"ersServing ot"ers ?? BB @@
5or.ing inepenentl%5or.ing inepenentl% ?? BB @@
E0a!ple a $Cont &E0a!ple a $Cont &
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E0a!ple a $Cont)&E0a!ple a $Cont)&S#ppose t"at t"e e!plo%ees circle t"eS#ppose t"at t"e e!plo%ees circle t"e
n#!bers ' ?' B' ' an @ for t"e five ite!s)n#!bers ' ?' B' ' an @ for t"e five ite!s)
T"eT"e !agnit#e of ifference!agnit#e of ifferencerepresenterepresenteb% t"eb% t"e spacespacebet,een points ? an B onbet,een points ? an B ont"e scalet"e scale is t"e sa!eis t"e sa!eas t"e !agnit#e ofas t"e !agnit#e of
ifference represente b% t"e spaceifference represente b% t"e spacebet,een points an @' or bet,een an%bet,een points an @' or bet,een an%ot"er t,o points) An% n#!ber can beot"er t,o points) An% n#!ber can be
ae to or s#btracte fro! t"e n#!bersae to or s#btracte fro! t"e n#!berson t"e scale' still retaining t"e !agnit#eon t"e scale' still retaining t"e !agnit#eof t"e ifference)of t"e ifference)
0a!p e a on0a!p e a on
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0a!p e a on )0a!p e a on )If ,e a to t"e five points onIf ,e a to t"e five points on
t"e scale' t"e interval scale ,illt"e scale' t"e interval scale ,ill"ave t"e n#!bers ' J'G))' ??"ave t"e n#!bers ' J'G))' ??
$ instea of ? to @&)$ instea of ? to @&)
T"e !agnit#e of t"e ifferenceT"e !agnit#e of t"e ifferencebet,een an J is still t"e sa!ebet,een an J is still t"e sa!e
as t"e !agnit#e of t"eas t"e !agnit#e of t"eifference bet,een P an ?2) Itifference bet,een P an ?2) It
"as an arbitrar% origin)"as an arbitrar% origin)
E l 3b
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Example 3b Circle the number that represents your feelings at this
particular moment best. There are no right or rongansers. !lease anser e"ery #uestion.
$. % in"est more in my or& than % get out of it
I disagree completely 1 2 3 4 5 I agree
completely
'. % exert myself too much considering hat % get bac&in return
I disagree completely 1 2 3 4 5 I agree
completely
3. (or the e)orts % put into the organi*ation+ % getmuch in return
I disagree completely 1 2 3 4 5 I agreecompletely
-Ratio Scale
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-Ratio ScaleSa!e as Interval' b#tRatio "as a tr#e /ero orfi0e starting point)
T"e ifference b, t"e
intervals is al,a%s!eas#re fro! a /ero
starting point
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Data can be altere soData can be altere so
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Data can be altere soData can be altere sot"at t"e% fit into at"at t"e% fit into a
ifferent categor%)ifferent categor%)
Inco!e is a ratio b#t ifInco!e is a ratio b#t if
inco!e is classifie asinco!e is classifie as
LM3 t"en ratio variableLM3 t"en ratio variable
beco!es an orinalbeco!es an orinal
variable)variable)
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No!inalNo!inal OrinalOrinal IntervalInterval RatioRatio
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ameame
MutuallyMutuallye&clu+iee&clu+ie
$rdered$rdered
%qual%qualinteralinteral
a,+. 0 a,+. 0
enderender
e+oe+o
:la++ ran#:la++ ran#
ratin;+ratin;+
ay+ o* -#.ay+ o* -#.
tem'.tem'.
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Data T%pesData T%pes
OrderOrder IntervalInterval OriginOrigin
No!inalNo!inal nonenone nonenone nonenone
OrinalOrinal %es%es #ne+#al#ne+#al nonenone
IntervalInterval %es%es e+#ale+#al nonenone
RatioRatio %es%es e+#ale+#al /ero/ero
P=>:T:T
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6464
,iscrete or Continuous - ominal / ordinal / inter"al /ratio -
!g of tar in cigarettes!g of tar in cigarettes
n#!ber of people in a carn#!ber of people in a car
"ig" to lo, te!perat#re in"ig" to lo, te!perat#re in
an% a%an% a%
,eig"t,eig"t
ti!eti!e
n#!ber of c"ilren in t"en#!ber of c"ilren in t"e
average fa!il%average fa!il%
Continuous
,iscrete
Continuous
Continuous
Continuous
,iscrete
Avg above avg belo,Avg above avg belo,
avgavg
Nicotine contents of cig)sNicotine contents of cig)s
Toa%s te!p) in Celsi#sToa%s te!p) in Celsi#s
Colors of M7 caniesColors of M7 canies
No!inalNo!inal 6raes $A'
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65/120
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6666
Pro'ertie+ o* t!e Four cale+Pro'ertie+ o* t!e Four cale+
QUESTION CODIN6QUESTION CODIN6
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6767
QUESTION CODIN6QUESTION CODIN6 If %o# are planning to anal%sis %o#rIf %o# are planning to anal%sis %o#r
ata b% co!p#ter' t"e% ,ill nee to beata b% co!p#ter' t"e% ,ill nee to becoe prior to entr%) 7or +#antit%coe prior to entr%) 7or +#antit%
+#estions' act#al n#!bers can be+#estions' act#al n#!bers can be
#se as coes) 7or ot"er +#estions'#se as coes) 7or ot"er +#estions'%o# ,ill nee to esign a coing%o# ,ill nee to esign a coing
sc"e!e) 5"enever possible %o#sc"e!e) 5"enever possible %o#
s"o#l establis" t"e coing sc"e!es"o#l establis" t"e coing sc"e!eprior to collection ata anprior to collection ata an
incorporate it into %o#r +#estionnaire)incorporate it into %o#r +#estionnaire)
>T> />$?T>T> />$?T
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6868
So!e pri!ar% ata collection
!et"os s#c" ascomputeraided personal interviewing,
Computer aided telephoneinterviewingan on line+#estionnairescana#to!aticall% enter an save atato a co!p#ter file at t"e ti!e of
collection 7or ot"er ata collection
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6969
7or ot"er ata collection!et"os' %o# ,ill "ave to
prepare an enter %o#r atafor co!p#ter anal%sis)
As %o# are entering %o#ro,n ata into S*SS *AS5
one case $ro,& at a ti!e aneac" col#!n #s#all%
represent a single variable DATA IN*UTDATA IN*UT
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7070
As part of a !ar.eting intervie,
s#rve% ,e nee to iscover,"ic" of fo#r pro#cts $ To!ato.etc"#p'
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E " f t" t
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7272
Eac" of t"ese ata
ite!s is a separatevariables) 3o,ever' t"e
ata can be collecteb% #sing one +#estion)
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T!i+ i+ #no-n a+ multi'ledic!otomy codin;
T! d t ll t d * ! d t ill *
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7474
T!e data collected *rom eac! re+'ondent -ill *orm
*our +e'arate aria,le+ in t!e P ,y u+in;
numerical code+C Purc!a+ed1 ot 'urc!a+ed2 ot+ure3D
:$
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75/120
7575
%ac! aria,le *or eac! ca+e in your data +et +!ould
!ae a code een i* no data !ae ,een collected.
T!e c!oice o* code i+ u' to you. > mi++in; data codei+ u+ed to indicate -!y data are mi++in;. Main
rea+on+ *or mi++in; data are *our.
T!e -ere not required 'er!a'+ ,ecau+e o* a +#i';enerated ,y a *ilter que+tion in a +ureyT!e que+tion -a+ not an+-ered a+ t!e re+'ondent!ad no o'inionC no re+'on+eD
T!e data -ere not aaila,le *or +ome ot!er rea+on
/eain; 'art o* a que+tion in a +urey ,lan# im'lie+an an+-erE in +uc! ca+e+ t!e data are not cla++i*ied
a+ mi++in;
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Developing ScalesDeveloping Scales
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7777
Developing ScalesDeveloping Scales
Categories ofCategories of attit#inalattit#inalscales- $not to be conf#sescales- $not to be conf#se,it" t"e fo#r ifferent,it" t"e fo#r ifferent types oftypes of
scalesscales&&T"eT"e RatingRatingScalesScalesT"eT"eRan.ingRan.ingScalesScales
Developing ScalesDeveloping Scales
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7878
p gp g
RatingRatingscales "ave several responsescales "ave several response
categories an are #se to elicit responsescategories an are #se to elicit responses,it" regar to t"e ob(ect' event' or person,it" regar to t"e ob(ect' event' or person
st#ie)st#ie)
Ran.ing scalesRan.ing scales' !a.e co!parisons bet,een' !a.e co!parisons bet,eenor a!ong ob(ects' events' or persons anor a!ong ob(ects' events' or persons an
elicit t"e preferre c"oices an ran.ingelicit t"e preferre c"oices an ran.ing
a!ong t"e!)a!ong t"e!)
7irst ,e7irst ,e rateratean t"en ,ean t"en ,e ran.ran.
Rating ScalesRating Scales
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7979
Rating ScalesRating Scales
T"e follo,ingT"e follo,ing ratingratingscales arescales areoften #se in organi/ationaloften #se in organi/ational
researc")researc")?)?)Dic"oto!o#s scaleDic"oto!o#s scale
B)B)Categor% scaleCategor% scale
))Li.ert scaleLi.ert scale
))N#!erical scaleN#!erical scale
Rating ScalesRating Scales
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808080
gg
@)@) Se!antic ifferential scaleSe!antic ifferential scale
)) Ite!i/e rating scaleIte!i/e rating scale
)) 7i0e or constant s#! rating7i0e or constant s#! rating
scalescaleJ)J) Stapel scaleStapel scale
P)P) 6rap"ic rating scale6rap"ic rating scale?2)?2)Consens#s scaleConsens#s scale
Dic"oto!o#s ScaleDic"oto!o#s Scale
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8181
Is #se to elicit a 4es or No ans,erIs #se to elicit a 4es or No ans,er
$i)e) (#st t,o responses&' calle$i)e) (#st t,o responses&' callebinar% or ic"oto!o#sbinar% or ic"oto!o#s
$Note t"at a$Note t"at a no!inal scaleno!inal scaleis #seis #seto elicit t"e response&to elicit t"e response&
E0a!pleE0a!ple
Do %o# o,n a carHDo %o# o,n a carH 4es No4es No
Categor% ScaleCategor% Scale
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8282
Categor% ScaleCategor% Scale It #ses !#ltiple ite!s $i)e) !ore t"anIt #ses !#ltiple ite!s $i)e) !ore t"an
t,o& to elicit a single response)t,o& to elicit a single response)E0a!ple @E0a!ple @
5"ere in :oran o %o# resieH5"ere in :oran o %o# resieH
A!!anA!!an Mafra+Mafra+
IrbiIrbi
ar+aar+a Ot"erOt"er
Li.ert ScaleLi.ert Scale
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8383
Li.ert ScaleLi.ert Scale Is esigne to e0a!ine "o, strongl%Is esigne to e0a!ine "o, strongl%
s#b(ects agree or isagree ,it"s#b(ects agree or isagree ,it"
state!ents on a @9point scale asstate!ents on a @9point scale as
follo,ing-follo,ing-
Strongl% Neit"er Agree Strongl%Strongl% Neit"er Agree Strongl%
Disagree Disagree Nor Disagree Agree AgreeDisagree Disagree Nor Disagree Agree Agree
? B @? B @
Li.ert ScaleLi.ert Scale
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848484
T"is is an Interval scale an t"eT"is is an Interval scale an t"e
ifferences in responsesifferences in responsesbet,een an% t,o points on t"ebet,een an% t,o points on t"e
scale re!ain t"e sa!e)scale re!ain t"e sa!e)
Se!antic Differential ScaleSe!antic Differential Scale
7/26/2019 My ch 07scales NEW.ppt
85/120
858585
5e #se t"is scale ,"en several5e #se t"is scale ,"en several
attrib#tes are ientifieattrib#tes are ientifie at t"eat t"ee0tre!ese0tre!esof t"e scale) 7orof t"e scale) 7or
instance' t"e scale ,o#linstance' t"e scale ,o#le!plo% s#c" ter!s as-e!plo% s#c" ter!s as-
6oo
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8686
T!i+ +cale i+ treated a+ anT!i+ +cale i+ treated a+ an IntervalInterval
scale)scale)E0a!ple E0a!ple
5"at is %o#r opinion on %o#r s#pervisorH5"at is %o#r opinion on %o#r s#pervisorH
Responsive99999999999999UnresponsiveResponsive99999999999999Unresponsive
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8787
Is si!ilar to t"e se!antic ifferentialIs si!ilar to t"e se!antic ifferential
scale' ,it" t"e ifference t"at n#!bersscale' ,it" t"e ifference t"at n#!berson a @9 points or 9points scale areon a @9 points or 9points scale are
provie' as ill#strate in t"e follo,ingprovie' as ill#strate in t"e follo,ing
e0a!ple-e0a!ple-
3o, please are %o# ,it" %o#r ne, (obH3o, please are %o# ,it" %o#r ne, (obH
E0tre!el% E0tre!lel%E0tre!el% E0tre!lel%
please @ B ? ispleaseplease @ B ? isplease
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89/120
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90/120
9090
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Stapel ScaleStapel Scale
7/26/2019 My ch 07scales NEW.ppt
92/120
929292
pp
T"is scale si!#ltaneo#sl% !eas#resT"is scale si!#ltaneo#sl% !eas#res
bot" t"e irection an intensit%bot" t"e irection an intensit%of t"eof t"eattit#e to,ar t"e ite!s #ner st#%)attit#e to,ar t"e ite!s #ner st#%)
T"e c"aracteristic of interest to t"eT"e c"aracteristic of interest to t"e
st#% is place at t"e center an ast#% is place at t"e center an a
n#!erical scale ranging' sa% fro! Fn#!erical scale ranging' sa% fro! F
to ' on eit"er sie of t"e ite! asto ' on eit"er sie of t"e ite! asill#strate in t"e follo,ing e0a!ple-ill#strate in t"e follo,ing e0a!ple-
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ra'!ic =atin; calera'!ic =atin; cale
7/26/2019 My ch 07scales NEW.ppt
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9494
A grap"ical representationA grap"ical representation
"elps t"e responents to"elps t"e responents toinicate on t"is scale t"eirinicate on t"is scale t"eir
ans,ers to a partic#larans,ers to a partic#lar+#estion b% placing a !ar. at+#estion b% placing a !ar. at
t"e appropriate point on t"et"e appropriate point on t"e
line' as in t"e follo,ingline' as in t"e follo,inge0a!ple-e0a!ple-
6rap"ic Rating Scale6rap"ic Rating Scale
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9595
p gE0a!ple PE0a!ple P
On a scale of ? to ?2' "o,On a scale of ? to ?2' "o,,o#l %o# rate %o#r s#pervisorH,o#l %o# rate %o#r s#pervisorH
@
1
?2
Ran.ing ScalesRan.ing Scales
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9696
AAre u+ed to ta' 're*erence+re u+ed to ta' 're*erence+
,et-een t-o or amon; more,et-een t-o or amon; moreo,Gect+ or item+o,Gect+ or item+ CCorinal inorinal in
nat#renat#reD. Ho-eer +uc! ran#in;D. Ho-eer +uc! ran#in;maymay not give efinitive cl#esnot give efinitive cl#esto +ome o* t!e an+-er+ +ou;!t.to +ome o* t!e an+-er+ +ou;!t.
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7/26/2019 My ch 07scales NEW.ppt
98/120
989898
=an#in; cale+=an#in; cale+
T!e mana;erT!e mana;er cannot concl#ecannot concl#et!at t!e *ir+tt!at t!e *ir+t'roduct i+ t!e mo+t 're*erred. !yA'roduct i+ t!e mo+t 're*erred. !yA
"ecau+e 65I o* re+'ondent+ did not c!oo+e"ecau+e 65I o* re+'ondent+ did not c!oo+e
t!at 'roduct. e !ae to u+et!at 'roduct. e !ae to u+e alternativealternative!et"os!et"osli#eli#e 7orce C"oice7orce C"oice Paired Paired
:om'ari+on+ and t!e :om'aratie cale.:om'ari+on+ and t!e :om'aratie cale.
e -ill de+cri,e t!ee -ill de+cri,e t!e 7orce C"oice7orce C"oicea+ ana+ an
e&am'le.e&am'le.
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99/120
7/26/2019 My ch 07scales NEW.ppt
100/120
6ooness of Meas#res6ooness of Meas#res
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101/120
101101
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oodne++ o* Mea+ure+oodne++ o* Mea+ure+
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103103
oodne++ o* Mea+ure+oodne++ o* Mea+ure+
6ooness of Meas#res6ooness of Meas#res
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104/120
104104
Ho- can -e en+ure t!at t!eHo- can -e en+ure t!at t!e
mea+ure+ deelo'ed aremea+ure+ deelo'ed arerea+ona,ly ;oodArea+ona,ly ;oodA
Fir+t anFir+t an ite! anal%sisite! anal%siso* t!eo* t!ere+'on+e+ to t!e que+tion+ ta''in;re+'on+e+ to t!e que+tion+ ta''in;
t!e aria,le i+ done.t!e aria,le i+ done.
T!en t!eT!en t!e reliabilit%reliabilit%andand valiit%valiit%o*o*t!e mea+ure+ are e+ta,li+!ed.t!e mea+ure+ are e+ta,li+!ed.
Ite! Anal%sisIte! Anal%sis
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105/120
105105
Ite! anal%sisIte! anal%sisi+ done to +ee i* t!e item+ ini+ done to +ee i* t!e item+ in
t!e in+trument ,elon; t!ere or not. %ac!t!e in+trument ,elon; t!ere or not. %ac!item i+ e&amined *or it+ a,ility to di+criminateitem i+ e&amined *or it+ a,ility to di+criminate
,et-een t!o+e +u,Gect+ -!o+e total +core+,et-een t!o+e +u,Gect+ -!o+e total +core+
are !i;! and t!o+e -it! lo- +core+.are !i;! and t!o+e -it! lo- +core+.
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106/120
7/26/2019 My ch 07scales NEW.ppt
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ta,ility
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108/120
108108108
y
ta,ility( a,ility o* a mea+ure to remaint!e +ame oer time de+'ite
uncontrolla,le te+tin; condition+ or t!e+tate o* t!e re+'ondent+ t!em+ele+. TestRetest Reliabilit%: T!e relia,ility
coe*Jcient o,tained -it! a re'etition o* t!e
+ame mea+ure on a +econd occa+ion. *arallel97or! Reliabilit%( =e+'on+e+ on
t-o com'ara,le +et+ o* mea+ure+ ta''in;t!e +ame con+truct are !i;!ly correlated.
84
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109/120
P ll l F = li ,iliP ll l F = li ,ilit
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110110110
ParallelForm =elia,ilityParallelForm =elia,ility
!en re+'on+e+ on!en re+'on+e+ on t,o co!parablet,o co!parablesets of !eas#ressets of !eas#resta''in; t!e +ameta''in; t!e +ame
con+truct are !i;!ly correlated -e !aecon+truct are !i;!ly correlated -e !ae
'arallel*orm relia,ility.'arallel*orm relia,ility.
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111/120
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V liditV lidit
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113113113
ValidityValidity
Valiit%Valiit%te+t+ +!o- !o- -ell an in+trument t!atte+t+ +!o- !o- -ell an in+trument t!ati+ deelo'ed mea+ure+ t!ei+ deelo'ed mea+ure+ t!e partic#lar conceptpartic#lar conceptit i+ intended to mea+ure.it i+ intended to mea+ure. Valiit%Valiit%i+ concernedi+ concerned
-it! -!et!er -e mea+ure t!e ri;!t conce't.-it! -!et!er -e mea+ure t!e ri;!t conce't.
Several t%pes of valiit%Several t%pes of valiit% te+t+ are u+ed to te+tte+t+ are u+ed to te+t
t!e ;oodne++ o* mea+ure+(t!e ;oodne++ o* mea+ure+( content valiit%'content valiit%'
criterion9relate valiit%' an constr#ctcriterion9relate valiit%' an constr#ct
valiit%valiit%..
: t t V lidit: t t V lidit
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114114114
:ontent Validity:ontent Validity
Content valiit%Content valiit%en+ure+ t!at t!e mea+ureen+ure+ t!at t!e mea+ureinclude+ aninclude+ an ae+#ateae+#ateandand representativerepresentative+et o*+et o*ite!site!s t!at ta' t!et!at ta' t!e concept)concept)
T!e more t!e +cale item+ re're+ent t!e domainT!e more t!e +cale item+ re're+ent t!e domain
o* t!e conce't ,ein; mea+ured t!e ;reater t!eo* t!e conce't ,ein; mea+ured t!e ;reater t!econtent alidity.content alidity.
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: it i = l t d V lidit: it i = l t d V lidit
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116116116
:riterion=elated Validity:riterion=elated Validity
%&am'le 12%&am'le 12
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117117117
%&am'le 12 C:ont.D%&am'le 12 C:ont.D
T!o+e -it!T!o+e -it! "ig" ,or. et"ic val#es"ig" ,or. et"ic val#es-ould not-ould not-ant to ,e on -el*are and -ould a+# *or-ant to ,e on -el*are and -ould a+# *or
em'loyment. T!o+e -!o are lo- on -or# et!icem'loyment. T!o+e -!o are lo- on -or# et!ic
alue+ mi;!t e&'loit t!e o''ortunity to +uriealue+ mi;!t e&'loit t!e o''ortunity to +urie
on -el*are *or a+ lon; a+ 'o++i,le.on -el*are *or a+ lon; a+ 'o++i,le.
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d * Moodne++ o* Mea+ure+
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119119119
oodne++ o* Mea+ure+oodne++ o* Mea+ure+
6ooness of Meas#res6ooness of Meas#resi+ e+ta,li+!ed t!rou;!i+ e+ta,li+!ed t!rou;!t!e di**erent #ind+ o* alidity and relia,ility.t!e di**erent #ind+ o* alidity and relia,ility.
T!e re+ult+ o* any re+earc! can only ,e a+ ;oodT!e re+ult+ o* any re+earc! can only ,e a+ ;ood
a+ t!e mea+ure+ t!at ta' t!e conce't+ in t!ea+ t!e mea+ure+ t!at ta' t!e conce't+ in t!et!eoretical *rame-or#.t!eoretical *rame-or#.
Table )BTable )B+ummarie+ t!e #ind+ o* alidity+ummarie+ t!e #ind+ o* alidity
di+cu++ed in t!e lecture.di+cu++ed in t!e lecture.
Validity
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Validity