We controlled this relationship for “race,” a variable that had three categories: whites, blacks, and others. Suppose you learned that the gamma for this relationship among whites was -.61, for blacks, was -.54 and for others, was -.44. What kind of elaboration, in your view, would you have uncovered

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 19E
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We controlled this relationship for “race,” a variable that had three categories: whites, blacks, and others. Suppose you learned that the gamma for this relationship among whites was -.61, for blacks, was -.54 and for others, was -.44. What kind of elaboration, in your view, would you have uncovered?

Crosstabulation of Gender (Sex) with Whether Respondent Reports Being
Fearful of Walking in the Neighborhood at Night (Fear)
(Source: GSS, via the Social Data Archive)
FEAR
Cells contain:
-Row percent
-Weighted N
2
ROW
YES
NO
ТОTAL
14
21.8
78.2
100.0
1: MALE
3,961.9 14,209.4 18,171.3
52.2
47.8
100.0
SEX 2: FEMALE
11,141.0
10,214.5 21,355.5
38.2
61.8
100.0
COL TOTAL
15,102.9
24,423.9 39,526.8
Means
1.74
1.42
1.54
Std Devs
44
.49
.50
Unweighted N
15,701
23,740
39,441
Color coding: <-2.0
<-1.0
<0.0 >0.0
>1.0 >2.0 z
N in each cell: Smaller than expected Larger than expected
Summary Statistics
Eta*
.31 Gamma = -.59 Rao-Scott-P: F(1,552) = 1,622.45 (p= 0.00)
R =
-.31 Tau-b =
-31 Rao-Scott-LR: F(1,552) = 1,673.03 (p= 0.00)
Somers' d* = -32 Tau-c = -.30 Chisq-P(1) =
Transcribed Image Text:Crosstabulation of Gender (Sex) with Whether Respondent Reports Being Fearful of Walking in the Neighborhood at Night (Fear) (Source: GSS, via the Social Data Archive) FEAR Cells contain: -Row percent -Weighted N 2 ROW YES NO ТОTAL 14 21.8 78.2 100.0 1: MALE 3,961.9 14,209.4 18,171.3 52.2 47.8 100.0 SEX 2: FEMALE 11,141.0 10,214.5 21,355.5 38.2 61.8 100.0 COL TOTAL 15,102.9 24,423.9 39,526.8 Means 1.74 1.42 1.54 Std Devs 44 .49 .50 Unweighted N 15,701 23,740 39,441 Color coding: <-2.0 <-1.0 <0.0 >0.0 >1.0 >2.0 z N in each cell: Smaller than expected Larger than expected Summary Statistics Eta* .31 Gamma = -.59 Rao-Scott-P: F(1,552) = 1,622.45 (p= 0.00) R = -.31 Tau-b = -31 Rao-Scott-LR: F(1,552) = 1,673.03 (p= 0.00) Somers' d* = -32 Tau-c = -.30 Chisq-P(1) =
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