ERIC Number: ED075491
Record Type: RIE
Publication Date: 1972-Feb
Reference Count: 0
An Empirical Investigation of the Permutation T-Test as Compared to Student's T-Test and the Mann-Whitney U-Test. Report from the Quality Verification Program.
Toothaker, Larry E.
The area investigated in the present study is the comparison of the permutation t-test with Student's t-test and the Mann-Whitney U-test. The comparison was made for small samples for three distributions, including a normal distribution, a uniform distribution, and a skewed distribution. The properties of each test compared were the probability of a Type I error and the power against a location-shift alternative hypothesis. The present research indicates that the permutation t-test is an acceptable statistical procedure for the two-sample problem for the normal and uniform populations and suggests that it might be more desirable than the traditional Student's t-test when sample sizes are proportional to the means and the parent population is nonnormal and asymmetric. Further research is needed before a more definite statement can be made about the permutation t-test when sampling from nonnormal populations. (Author)
Publication Type: N/A
Education Level: N/A
Sponsor: Office of Education (DHEW), Washington, DC. Research and Development Centers Branch.
Authoring Institution: Wisconsin Univ., Madison. Research and Development Center for Cognitive Learning.