Alpha-Max is a multiple comparison procedure that is based on the Bonferroni inequality. However, rather than using preset adjusted alpha values for each pairwise contrast, Alpha-Max bases the decisions on the actual p-values for the pairwise contrasts. After a significant omnibus F-test, the pairwise p-values are determined and ordered from…

The level of standardized effect sizes obtained by chance and the use of significance tests to guard against spuriously high standardized effect sizes were studied. The concept of the "protected effect size" is also introduced. Monte Carlo methods were used to generate data for the study using random normal deviates as the basis for sample means…

The probabilities of attaining varying magnitudes of standardized effect sizes by chance and when protected by a 0.05 level statistical test were studied. Monte Carlo procedures were used to generate standardized effect sizes in a one-way analysis of variance situation with 2 through 5, 6, 8, and 10 groups with selected sample sizes from 5 to 500.…

Reviews null hypothesis statistical significance testing (NHST) in its historical context and concludes that workable alternatives to NHST are available. Among suggested alternatives, effect magnitude measures, replication techniques, and meta-analytic techniques are discussed. (SLD)

Attempts to clarify the positions of T. Nix and J. Barnette on statistical significance testing, advocates the routine use of effect size, and encourages reporting results in simple terms. (SLD)