\(M_1\) and \(M_2\) denote the sample means for groups 1 and 2 and.And a mean difference expressed in standard deviations -Cohen’s D- is an interpretable effect size measure for t-tests. This is because p-values strongly depend on sample sizes.Ī solution to both problems is using the standard deviation as a unit of measurement like we do when computing z-scores. Statistical significance does not imply practical significance (or reversely).psychological test scores don't have any fixed unit of measurement such as meters, dollars or seconds.The mean differences range from -1.3 points to -9.3 points.Īre these small, medium or large differences?.Except for the anxiety test, all differences are statistically significant.So the second group -children from divorced parents- have higher means on all tests. For comparing these 2 groups of children, their mean scores were compared using independent samples t-tests. Cohen’s D – Effect Size for T-Test By Ruben Geert van den Berg under T-Tests, Basics
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