The mean and standard deviation for 37 statistics night students were 75.41 and 19.73. The mean and standard deviation for 35 statistics day students were 75.86 and 16.91. She takes random samples from each of the populations. Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on Exam 2 and statistics night students on Exam 2. Cohen’s Standard Effect Sizes Size of effectĬohen’s d is the measure of the difference between two means divided by the pooled standard deviation: where The calculated value of effect size is then compared to Cohen’s standards of small, medium, and large effect sizes. Cohen’s d, named for United States statistician Jacob Cohen, measures the relative strength of the differences between the means of two populations based on sample data. The evidence shows that the mean of the final exam scores for the online class is lower than that of the face-to-face class.Īt the 5% level of significance, from the sample data, there is (is/is not) sufficient evidence to conclude that the mean of the final exam scores for the online class is less than the mean of final exam scores of the face-to-face class.Ĭohen’s Standards for Small, Medium, and Large Effect Sizes Cohen’s d is a measure of effect size based on the differences between two means.
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