ERIC Number: ED099406
Record Type: RIE
Publication Date: 1973-Dec
An Examination of the Statistical Properties of a Multivariate Measure of Strength of Relationship. Final Report.
Tatsuoka, Maurice M.
A computer-simulated study was made of the sampling distribution of omega squared, a measure of strength of relationship in multivariate analysis of variance which had earlier been proposed by the author. It was found that this measure was highly positively biased when the number of variables is large and the sample size is small. A correction formula for reducing the bias was developed by the method of least squares and was found to yield nearly unbiased corrected values. A simpler, rule-of-thumb correction formula was also presented. Charts of 90 percent confidence intervals for omega squared for the three-variate, five-group case for three sample sizes were drawn, and data that would enable the construction of similar confidence intervals for the five-variate and ten-variate cases (also for five groups) were presented. (Author/RC)
Publication Type: Reports - Research
Education Level: N/A
Sponsor: Office of Education (DHEW), Washington, DC. Bureau of Research.
Authoring Institution: N/A