The importance of the assumption of normality for testing that a bivariate normal correlation equals zero is examined. Both empirical and theoretical evidence suggest that such tests are robust with respect to violation of the normality assumption. (Author/JKS)

The Z-variance and Box-Scheffe tests for homogeneity of variance are both relatively simple to perform and readily utilized in complex, multi-factor designs. The Z-variance test is not robust against non-normality; the Box-Scheffe test is robust against non-normality but is not nearly as powerful as the Z-variance test. (Author/BJG)

A test is developed for hypotheses about the grand mean in the analysis of variance, using the known relationship between the t distribution and the F distribution with 1 df (degree of freedom) for the numerator. (Author/RC)

Some recent developments for the Shine-Bower single-subject analysis of variance (ANOVA) and the Shine Combined ANOVA are integrated in order to remove the restriction of an even number of trials for the Shine Combined ANOVA. (Author/JKS)

Four approximate statistical tests are considered for repeated measurement designs in which observations are multivariate normal with arbitrary variance-covariance matrices. (Author/JKS)

Two statistics for use in the Shine-Bower single-subject analysis of variance designs are compared. Advantages and precautions concerning an alternate statistic to the mean square successive difference test for testing the slow change assumptions of the Shine-Bower error term are presented. (JKS)

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

Extensions of the Kruskal-Wallis procedure for a factorial design are examined under various degrees and kinds of nonnullity. It was found that the distributions of these test statistics are a function of effects other than those being tested, except under the completely null situation. Their use is discouraged. (Author/JKS)

A recent paper by Wainer and Thissen has renewed the interest in Gini's mean difference, G, by pointing out its robust characteristics. This note presents distribution-free asymptotic confidence intervals for its population value in the one sample case and for difference in the two sample situations. (Author/JKS)

A flexible Fortran program for computing one way analysis of variance is described. Requiring minimal core space, the program provides a variety of useful group statistics, all summary statistics for the analysis, and all mean comparisons for a priori or a posteriori testing. (Author/JKS)

Power and stability of Type I error rates are investigated for the Bartlett and Kendall test of homogeneity of variance with varying subsample sizes under conditions of normality and nonnormality. The test is shown to be robust to violations of the assumption of normality when sampling is from a leptokurtic population. Suggestions for selecting…

An alternate procedure is presented for testing the trial-by-subject interaction in the Shine Combined analysis of variance test. This new procedure is designed to get around the independence and distributional problems of the orginal F test. (Author)

An alternative is proposed to the usual Interaction and Nested Analysis of Variance (ANOVA) models by which a researcher will be able to investigate both interaction and nested questions in the same experiment without committing Type IV errors. (RC)

Proposes three different multiple range tests based upon the Newman-Keuls philosophy with respect to significance levels. The three tests utilize the Fmax statistic, Cochran's statistic and a normalizing log transformation of the sample variances respectively. (Author/RC)