For a 2 * 2 chi-square test for independence,the value of a phi coefficient will equal the value of Cramer's V for a given data set.

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This statement is true. Both phi coefficient and Cramer's V are measures of association between two categorical variables in a contingency table. In a 2x2 contingency table, the formula for phi coefficient and Cramer's V will produce the same value. However, in larger tables, Cramer's V is a standardized version of phi coefficient that takes into account the number of categories and sample size, so the values may not be the same.

For a 2 * 2 Chi-Square Test for Independence,the Value