ABSTRACT

This chapter develops a simple approach to statistical power analysis that is based on the widely used F-statistic. The F-statistic (or some transformation of F) is used to test statistical hypotheses in the general linear model (Horton, 1978; Tatsuoka, 1993b), a model that includes all of the variations of correlation and regression analysis (including multiple regression), analysis of variance and covariance (ANOVA and ANCOVA), t-tests for differences in group means, and tests of the hypothesis that the effect of treatments takes on a specific value or a value different from zero. Most of the statistical tests that are used in the social and behavioral sciences can be treated as special cases of the general linear model.