1. Explanation Calculation: The given information is that, 2 × 2 chi-square test for independence is conducted and value of χ 2 = 3.96 , N = 50 . Effect size using proportion of variance: The estimate of the effect size for chi-square independence test with two of levels of the two categorical variables is estimated using proportion of variance. The formula for proportion of variance is, φ 2 = χ 2 N In the formula, χ 2 denotes the calculated test statistic, N denotes the total participants 2. To determine Find the proportion of variance (φ 2 ) for values in a 2 × 2 chi-square test for independence when χ 2 = 5.23 , N = 75 . 3. To determine Find the proportion of variance (φ 2 ) for values in a 2 × 2 chi-square test for independence when χ 2 = 12.00 , N = 100 .

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Chapter 17, Problem 24CAP

To determine

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=3.96, N=50.

To determine

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=5.23, N=75.

To determine

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=12.00, N=100.

Expert Solution & Answer

Chapter 17 Solutions

EBK STATISTICS FOR THE BEHAVIORAL SCIEN

Ch. 17.2 - Prob. 1.1LC Ch. 17.2 - Prob. 1.2LC Ch. 17.2 - Prob. 1.3LC Ch. 17.2 - Prob. 1.4LC Ch. 17.3 - Prob. 2.1LC Ch. 17.3 - Prob. 2.2LC Ch. 17.5 - Prob. 3.1LC Ch. 17.5 - Prob. 3.2LC Ch. 17.5 - Prob. 3.3LC Ch. 17.6 - Prob. 4.1LC

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Find the proportion of variance (φ 2 ) for values in a 2 × 2 chi-square test for independence when χ 2 = 3.96 , N = 50 .

Solution Summary: The author calculates the effect size for chi-square independence test with two of levels of the two categorical variables using proportion of variance.

Concept explainers

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Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=3.96, N=50.

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=5.23, N=75.

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=12.00, N=100.

Chapter 17 Solutions

Find the proportion of variance (φ 2 ) for values in a 2 × 2 chi-square test for independence when χ 2 = 3.96 , N = 50 .

Solution Summary: The author calculates the effect size for chi-square independence test with two of levels of the two categorical variables using proportion of variance.

Concept explainers

Videos

Find the proportion of variance (φ2) for values in a 2 × 2 chi-square test for independence when χ2=3.96, N=50.

Find the proportion of variance (φ2) for values in a 2 × 2 chi-square test for independence when χ2=5.23, N=75.

Find the proportion of variance (φ2) for values in a 2 × 2 chi-square test for independence when χ2=12.00, N=100.

Chapter 17 Solutions

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=3.96, N=50.

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=5.23, N=75.

Find the proportion of variance (φ²) for values in a 2 × 2 chi-square test for independence when χ2=12.00, N=100.