Jr. Levin, OVERCOMING FEELINGS OF POWERLESSNESS IN AGING RESEARCHERS - A PRIMER ON STATISTICAL POWER IN ANALYSIS OF VARIANCE DESIGNS, Psychology and aging, 12(1), 1997, pp. 84-106
A general rationale and specific procedures for examining the statisti
cal power characteristics of psychology-of-aging empirical studies are
provided. First, 4 basic ingredients of statistical hypothesis testin
g are reviewed. Then, 2 measures of effect size are introduced (standa
rdized mean differences and the proportion of variation accounted for
by the effect of interest), and methods are given for estimating these
measures from already-completed studies. Power and sample size formul
as, examples, and discussion are provided for common comparison-of-mea
ns designs, including independent samples I-factor and factorial analy
sis of variance (ANOVA) designs, analysis of covariance designs, repea
ted measures (correlated samples) ANOVA designs, and split-plot (combi
ned between- and within-subjects) ANOVA designs. Because of past conce
ptual differences, special attention is given to the power associated
with statistical interactions, and cautions about applying the various
procedures are indicated. Illustrative power estimations also are app
lied to a published study from the literature. It is argued that psych
ology-of-aging researchers will be both better informed consumers of w
hat they read and more ''empowered'' with respect to what they researc
h by understanding the important roles played by power and sample size
in statistical hypothesis testing.