| Abstract: | ![]()
A prior article by P. A. Games (1978) presented numerous statistical hypothesis-testing procedures for independent groups. These resulted from crossing 3 factors: technique used, method of control of Type 1 errors, and parameter used. Tests on means, correlations, proportions, and variances are represented by using θ for the parameter, and θ? for the statistic. The prior article was limited to cases in which the variance of the statistic V k(θ) was a constant and hence was limited to equal ns. The present article contains the extention to unequal V k(θ?) cases and hence permits unequal ns. More general large-sample forms of the t and F statistics, namely, the t′ and the df uF′ statistics, are recommended for the unequal V k(θ?) cases. The B. L. Welch solution for general contrasts on means is presented as a minor adaptation of t′. The Welch solution for an omnibus test on means is a minor adaptation of df uF′. Examples are given that illustrate the application of t′ and df uF′. (27 ref) (PsycINFO Database Record (c) 2010 APA, all rights reserved) |
