ERIC Number: ED339741
Record Type: RIE
Publication Date: 1991-Nov
Reference Count: 0
Power Properties of Multivariate Permutation Tests Relative to Hotelling's T-Square Test in Small Samples.
Kromrey, Jeffrey D.; Blair, R. Clifford
New multivariate permutation tests are proposed that may be effectively substituted for Hotelling's T-Square test in situations commonly arising in educational research. The new tests: (1) are distribution-free; (2) provide tests of directional as well as non-directional hypotheses; (3) may be tailored for sensitivity to specific treatment effects; and (4) may be computed when the number of variables is larger than the number of subjects. Comparisons of the power of the permutation tests to that of Hotelling's test suggest substantial advantages in several situations. Results are interpreted in terms of applications to educational research in which multivariate research questions are posed but the number of units for analysis are small. A 20-item list of references and 8 graphs are included. (SLD)
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Identifiers: Hotellings t; Permutations (Mathematics)
Note: Paper presented at the Annual Meeting of the Florida Educational Research Association (Clearwater, FL, November 13-16, 1991).