Describes a more powerful version of Scheffe's post hoc multiple comparison procedure with its original derivation (H. Scheffe, 1970). Shows that a more liberal critical value assuming k - 2 between-group degrees of freedom may be used if an omnibus null hypothesis across all groups has been rejected. (Author/SLD)

Places the insights of P. Games (1971) in the context of the major developments in simultaneous and sequential inference since his article was written. The focus is on the common multiple-comparison procedure scenarios of orthogonal and nonorthogonal contrasts, all possible pairwise comparisons, and exploratory post hoc contrasts. Contains 80…

While statistical procedures are well known for comparing hierarchically related (nested) covariance structure models, statistical tests for comparing nonhierarchically related (nonnested) models have proven more elusive. While isolated attempts have been made, none exists within the commonly used maximum likelihood estimation framework, thereby…

Proposes a method for post hoc contrasts based on subsets of treatment groups, and simulates critical values from the appropriate multivariable F-distribution to be used in place of those associated with Scheffe's test (H. Scheffe, 1953). The proposed method and its critical values provide a uniformly more-powerful post hoc procedure. (SLD)