Psychology 613
Data Analysis III
Prof. Bertram Malle
Spring 2007
a. Generate twenty samples of “experimental groups” of N = 15, drawn from a population with μ = 6, σ = 8. Also generate twenty samples of “control groups” of N = 15, drawn from a population with μ = 3, σ = 7.
b. Combine the samples pairwise so you have twenty "studies" of N = 30 data points. For each of these twenty studies, compute (following Lecture 9's handout) the mean difference between the two groups, the pooled standard deviation, and a bias-corrected effect size value d. Finally, compute an average effect size across all twenty studies (don't worry about inverse weights or the like.)
c. Plot and describe the resulting distribution of twenty effect sizes and their average. (A dotplot would be suitable.) What does the distribution illustrate?
d. Now repeat the same exercise with forty samples of experimental and control groups that have an N of 8 each. Calculate the forty individual study effect sizes and the overall average of the forty studies. (A separate plot is recommended). Comment on the similarities and differences between this effect size distribution (based on forty studies) and the one from 3b (based on twenty studies).