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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

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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