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Soc. 3155
Elaboration of Bivariate Tables
Original Table Showing Bivariate Relationship
Delinquent Sgl. Parent % 2 Parent % Total
Yes 28 55 27 34 55
No 22 45 53 66 75
Total 50 100 80 100 130
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Original Table)
Yes
No
Gamma = .43
Partial Tables Controlling for Residence
Delinq. Sgl. Parent % 2 Parent % Total
Yes 20 57 21 35 41
No 15 43 39 65 54
Total 35 100 60 100 95Gamma = .43
Urban Residents
Delinq. Sgl. Parent % 2 Parent % Total
Yes 8 53 6 34 14
No 7 47 14 66 21
Total 15 100 20 100 35
Rural Residents
Gamma = .45
No Change from original = Direct Relationship
Graphs showing no change from original
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Original Table)
Yes
No
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Urban residents)
Yes
No
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Rural Residents)
Yes
No
Partial Tables Controlling for Parental Substance Abuse
Delinq. Sgl. Parent % 2 Parent % Total
Yes 4 25 16 35 20
No 12 75 48 65 60
Total 16 100 64 100 80
Gamma = 0
Parents are not substance abusers
Delinq. Sgl. Parent % 2 Parent % Total
Yes 24 71 11 69 35
No 10 29 5 31 15
Total 34 100 16 100 50
Parents are substance abusers
Gamma = .04
Original relationship disappears or declines = spurious or intervening relationship
Graphs showing original relationship declines in presence of control
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Original Table)
Yes
No
0
20
40
60
80
Single Two
% Delinquent (Parents are substance abusers)
Yes
No
01020304050607080
Single Two
% Delinquent (Parents not substance abusers)
Yes
No
Substance abuse
Family type
Delinquency
CV as spurious cause of IV and DV
Substance abuse
Family type Delinquency
CV as intervening B/T IV and DV
Partial Tables Controlling for Income Level
Delinq. Sgl. Parent % 2 Parent % Total
Yes 25 69 12 67 37
No 11 31 6 33 17
Total 36 100 18 100 54
Gamma = -.06
Low income
Delinq. Sgl. Parent % 2 Parent % Total
Yes 3 21 15 24 18
No 11 79 47 76 58
Total 14 100 62 100 76
High Income
Gamma = - .08
Original relationship disappears or declines = spurious or intervening relationship
Graphs showing original relationship declines in presence of control
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Original Table)
Yes
No
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Low income)
Yes
No
01020304050607080
Single Two
% Delinquent (High Income)
Yes
No
Income
Family type
Delinquency
CV as spurious cause of IV and DV
IncomeFamily type Delinquency
CV as intervening B/T IV and DV
Partial Tables Controlling for Gender
Delinq. Sgl. Parent % 2 Parent % Total
Yes 21 62 10 20 31
No 13 38 40 80 53
Total 34 100 50 100 84
Gamma = .73
Boys
Delinq. Sgl. Parent % 2 Parent % Total
Yes 7 21 17 24 24
No 9 79 13 76 22
Total 16 100 30 100 46
Girls
Gamma = - .25
Original relationship is different for different categories of CV = interaction
Graphs showing original relationship is different for different categories of control
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Original Table)
Yes
No
01020304050607080
Single Two
% Delinquent (Boys)
Yes
No
01020304050607080
Single Two
% Delinquent (Girls)
Yes
No
Family type Delinquency
For Boys:
(Strong)
Family type Delinquency
For Girls:
(Weak)
Interaction Effect
Partial Tables Controlling for Parenting Style
Delinq. Sgl. Parent % 2 Parent % Total
Yes 4 20 16 80 20
No 16 80 4 20 20
Total 20 100 20 100 40
Gamma = -.88
Authoritarian Parents
Delinq. Sgl. Parent % 2 Parent % Total
Yes 24 80 11 18 35
No 6 20 49 82 55
Total 30 100 60 100 90
Permissive Parents
Gamma = .89
Original relationship is stronger in presence of CV = suppressor effect: a type of interaction. Often relationship B/T IV and DV is opposite for different categories of CV. Failing to control hides or suppresses the true relationship.
Graphs showing original relationship is stronger in presence of control
0
10
20
30
40
50
60
70
Single Two
% Delinquent (Original Table)
Yes
No
01020304050607080
Single Two
% Delinquent (Authoritarian Parents)
Yes
No
0
20
40
60
80
100
Single Two
% Delinquent (Permissive Parents)
Yes
No