Discusses the increasing awareness that the mere statistical significance of an experimental effect is insufficient to warrant the conclusion that the effect is large and practically important. A number of related measures of the magnitude of experimental effects which can be applied to the results of a 1-way analysis of variance but not to the results of a more complicated design are available. The proper measure for a complex design depends on whether other factors are fixed or random, and the uncritical following of advice given in the literature can result in serious over- or underestimation of the magnitude of experimental effects. (PsycINFO Database Record (c) 2006 APA, all rights reserved). © 1969 American Psychological Association.