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Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference
Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower Upper total Equal variances assumed 2.132 .147 1.157 103 .250 3.102 2.682 -2.217 8.420 Equal variances not assumed 1.111 74.084 .270 3.102 2.792 -2.461 8.665
- The Levene test (homogeneity of variance assumption) and interpretation.
- t, degrees of freedom, t value, and probability value. State whether or not to reject the null hypothesis. Interpret the results.
- Calculate Cohen's d effect size from the SPSS output and interpret it. Specifically, if the homogeneity of variance assumption is met, divide the mean difference (M1 - M2) by s1 or s2. Violation of the homogeneity of variance assumption requires calculation of Spooled. Homogeneity assumed:
- Cohen's d = (M1 - M2) s1; 101.30(M1)-98.20(M2)/(S1) 12.379 = 0.25 or Cohen's d = (M1 - M2) s2; (m1) 101.30 -(M1)98.20/(S2) 14.880= 0.21.
- To be comprehensive, report Cohen's d based on a calculation with s1 and a calculation with s2. Round the effect size to two decimal places. Interpret Cohen's d.
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