Relationship between friendship and gender
A random sample of students taking introductory statistics at a large public university is
selected and asked “With whom is it easiest to make friends?” The choices were “The
opposite gender,” “The same gender,” and “It makes no difference.” Students also
indicated their gender (male or female). The data are summarized below. Source: Utts
and Heckard (2004), Mind on Statistics, Belmont, CA: Brooks/Cole, pages 529-530.
Female
Male
Total
With whom is it easiest to make friends?
Opposite Gender
Same Gender
No Difference
58
16
63
15
13
40
73
29
103
Total
137
68
205
JMP Data Table
Gender
Female
Female
Female
Male
Male
Male
Opinion
Opposite Gender
Same Gender
No Difference
Opposite Gender
Same Gender
No Difference
Count
58
16
63
15
13
40
Analyze
Fit Y by X
Y, Response: Opinion
X, Factor:
Gender
Block:
Weight:
Freq:
Count
By:
1
JMP Analysis of Opinion By Gender
Mosaic Plot
Contingency Table
Gender By Opinion
Count
No
Row %
Difference
Expected
Cell Chi^2
Female
63
45.99
68.8341
0.4945
Male
40
58.82
34.1659
0.9962
103
Opposite
Gender
Same
Gender
58
42.34
48.7854
1.7405
15
22.06
24.2146
3.5065
73
16
11.68
19.3805
0.5896
13
19.12
9.61951
1.1880
29
137
68
205
Tests
N
205
Test
Likelihood Ratio
Pearson
DF
2
-LogLike
4.4258056
ChiSquare
8.852
8.515
RSquare (U)
0.0218
Prob>ChiSq
0.0120*
0.0142*
2