When the data form a 2 x 2 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 the sample size influence the values for phi and chi-square?
A)A larger sample increases both the values of phi and chi-square.
B)A larger sample increases the value of phi but has no effect on the value of chi-square.
C)A larger sample increases the value of chi-square but has no effect on the value of phi.
D)Sample size does not influence either the value of phi or chi-square.

Question

When the data form a 2 x 2 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 the sample size influence the values for phi and chi-square?​
A)​A larger sample increases both the values of phi and chi-square.
B)​A larger sample increases the value of phi but has no effect on the value of chi-square.
C)​A larger sample increases the value of chi-square but has no effect on the value of phi.
D)​Sample size does not influence either the value of phi or chi-square.

Quizplus · Accepted Answer

A larger sample size increases the value of chi-square because chi-square values are dependent on sample size. However, the phi coefficient, which is a measure of effect size for a 2 x 2 contingency table, is standardized, meaning it is not affected by sample size.

When the Data Form a 2 X 2 Matrix,the Phi-Coefficient