Fragmented treatment in the literature of the problem of unbalanced data suggests an examination within a single framework of some of the more important issues. (JH)

The paper obtains a maximum likelihood criterion test for multisample sphericity. The test contains Mauchly's sphericity test as a special case. (Author)

A computer program written in BASIC is described which performs one-way analysis of variance based on the mean, standard deviation, and size of each group. Output lists a full analysis of variance table. (Author)

Linear models are available for describing dominance and composition judgements. These models include parameters for the scale values of the stimuli, response order bias, and interaction between stimuli, all of which may be evaluated with analysis of variance procedures. (Author)

The computation of F ratios from cell means and standard deviations is shown for a two-way analysis of variance. (JKS)

A general analysis strategy is proposed such that the universe of inference is increased incrementally. The strategy prevents logically incongruent findings that occasionally result when the conventional analysis strategy is employed. (Author)

Multiple comparisons involve the examination of which group or groups are actually different from other group(s) in analysis of variance results. Such comparisons usually involve one-way analysis of variance. This monograph discusses designs more complex than one-way designs. (JKS)

An explicit statement of a statistic which is a nonparametric analog to one-way MANOVA is presented. The statistic is a multivariate extension of the nonparametric Kruskal-Wallis test (1952). In addition two post hoc procedures are developed and compared. (Author/JKS)

The present study was addressed to the group AOV situation. Onte Carlo methods were employed to contrast several procedures with respect to a. ) control over Type 1 errors and b. ) power. (Editor)

Reasons for transforming dependent variable measures for use in analysis of variance is discussed, including nonnormality, heteroscedasticity and scale-induced interactions. It is pointed out that nonlinear transformations change the interpretation of interactions, and a method for reducing heteroscedasticity is described. (Author/RM)

Logically consistent hypothesis-testing for factorial analysis of variance designs is proposed in the context of a hierarchical model. It is shown that all of the hypotheses associated with the traditional factorial model are conceptually independent and occupy the lowest levels of the hierarchy. (Author/JKS)

The equivalence of one-way multivariate analysis of variance and canonical correlation is well known. The usefulness of canonical correlation analysis is performing factorial multivariate analysis of variance is demonstrated. (Author)

The effect of the variance stabilizing transformations on the significance level and power of the F test, applied to Binomial and Poisson variables, was examined by a Monte Carlo study. The results indicate that the significance level is not affected by the transformations. (Author/JKS)

In numerous applications of the analysis of variance, it is necessary to compute the power of F tests having numerically high alpha (significance) levels. This article tabulates the power of F tests for a variety of degrees of freedom. (Author/JKS)