When the data form a 2x2 matrix,the phi-coefficient is used to measure effect size for the chi-square test for independence.If other factors are held constant,how does sample size influence the values for phi and chi-square?
A)A larger sample increases both phi and chi-square.
B)A larger sample increases phi but has no effect on chi-square.
C)A larger sample increases chi-square but has no effect on phi.
D)Sample size does not influence either phi or chi-square.

Question

Quizplus · Accepted Answer

A larger sample size increases the chi-square value because it is directly proportional to the sample size, but phi, being a standardized measure, is not affected by sample size.

When the Data Form a 2x2 Matrix,the Phi-Coefficient Is Used