Quantitative Psychology Commons^™

An Investigation Of The Effectiveness Of Student’S T-Test Under Heterogeneity Of Variance, Hayden Nelson

Masters Theses & Specialist Projects

Within the field of psychology, few tests have been as thoroughly investigated as Student’s t-test. One area of criticism is the use of the test when the assumption for heterogeneity of variance between two samples is violated, such as when sample sizes and observed sample variances are unequal. The current study proposes a Monte Carlo analysis to observe a broad range of conditions in efforts to identify the resulting fluctuations in the proportion obtained significant results for two conditions: no mean difference (𝜇􀬵 = 𝜇􀬶) compared to the set level of alpha, and small-to-moderate mean differences (𝜇􀬵 ≠ 𝜇􀬶) compared …