THE QUEST FOR ALPHA - DEVELOPMENTS IN MULTIPLE COMPARISON PROCEDURES IN THE QUARTER-CENTURY SINCE GAMES (1971)

In a highly regarded work Games (1971) presented state-of-the-art mult iple comparison procedures (MCPs) for a variety of research scenarios and sought to bring order to the seemingly chaotic array of MCPs being used at that time. The current article is a sequel of sorts, placing Games's insights in the context of many of the major developments in s imultaneously and sequential influence since his article's publication . Specifically, Mle address the common MCP scenarios of orthogonal con trasts, nonorthogonal contrasts, comparisons against a reference group , all possible pairwise comparisons, and exploratory post hoc contrast s, all under the assumed conditions of independent scores, normality, and homogeneity of variance. In addition, discussions of the philosoph ical issues surrounding the control of Type I error rates are presente d.