When the data from a research study form a 2×2 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 sample size influence the values for the phi coefficient and chi-square?   a. A larger sample increases the phi coefficient but has no effect on the chi-square value.   b. A larger sample size does not influence the phi coefficient or chi-square value.   c. A larger sample increases the chi-square value but has no effect on the phi coefficient.   d. A larger sample increases both the phi coefficient and chi-square value.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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  1. When the data from a research study form a 2×2 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 sample size influence the values for the phi coefficient and chi-square?
      a.
    A larger sample increases the phi coefficient but has no effect on the chi-square value.
      b.
    A larger sample size does not influence the phi coefficient or chi-square value.
      c.
    A larger sample increases the chi-square value but has no effect on the phi coefficient.
      d.
    A larger sample increases both the phi coefficient and chi-square value.
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