Sage Journals: Discover world-class research

Abstract

The extent and direction of bias in an approximate test (T_A ²) of a one-way repeated measures hypothesis was studied. Monte Carlo methods were used to simulate nine multinormal parent populations. Five thousand samples were drawn from each population and an F statistic (transformed from T_A ²) was calculated for each sample. Nine sampling distributions, each containing 5,000 Fs, were then observed. T_A ² was shown to be very conservative—the proportions observed in the upper tails of the nine distributions were much smaller (in most cases one-half the size) than the proportions expected. The exact T ² test was also presented along with the description of a program which computes this statistic. The program is recommended, over available package programs, because it requires minimum input.

Get full access to this article

View all access options for this article.

References

Anderson, T. W. An introduction to multivariate statistical analysis. New York: Wiley, 1958.

Dixon, W. J. (Ed.). Biomedical computer programs . Berkeley, California : University of California Press, 1968.

Kirk, R. Experimental design: Procedures for the behavioral sciences. Monterey, California: Brooks-Cole, 1968.

Morrison, D. F. Multivariate statistical methods . New York: McGraw-Hill, 1967.

Winer, B. J. Statistical principles in experimental design (1st ed.). New York: McGraw-Hill, 1962.

Winer, B. J. Statistical principles in experimental design (2nd ed.). New York: McGraw-Hill, 1971.

A Computer Program to Test a Repeated Measures Hypothesis Using Hotelling's One-Sample T2 Statistic

Abstract

Get full access to this article

References