A researcher completes a chi-square test for independence and obtains X2 =6.2 for a sample of n=40 participants. a. If the frequency data formed a 2 X 2 matrix, what is the phi-coefficient for the test? b. If the frequency data formed a 3 X 3 matrix, what is the Cramer’s phi-coefficient for the test? c. Explain why a very small value for an expected frequency can distort the results of chi-square test.

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A researcher completes a chi-square test for independence and obtains X2 =6.2 for a sample of n=40 participants.

a. If the frequency data formed a 2 X 2 matrix, what is the phi-coefficient for the test?

b. If the frequency data formed a 3 X 3 matrix, what is the Cramer’s phi-coefficient for the test?

c. Explain why a very small value for an expected frequency can distort the results of chi-square test.

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