What is the proportion of variance for each of the following values in a 2 x 2 chi-square test for independence?
(a) X2 =3.96, N=50
(b) X 2 =5.23, N=75
(c) X2 = 12.00, N=100
Given
2 X 2 chi square
D.F = (2-1) (2-1) = 1
a)
X2 =3.96, N=50
Proportion of variance, V = sqrt (X2 / n*df) = sqrt ( 3.96 / 50*1) = 0.2814
b)
X 2 =5.23, N=75
Proportion of variance, V = sqrt ( 5.23 / 75*1) = 0.2641
c)
X2 = 12.00, N=100
Proportion of variance, V = sqrt ( 12/ 100*1) = 0.3464
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