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)

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)

A nonparametric test of dispersion with paired replicates data is described which involves jackknifing logarithmic transformations of the ratio of variance estimates for the pre- and posttreatment populations. Results from a simulation show that the test performs well under the null hypothesis and has good power properties. (Author/JKS)

The Shine-Bower error term is used to form approximate F ratios for testing various effects in the Shine-Bower single-subject ANOVA and the Shine Combined ANOVA. Results demonstrate the utility of these F ratios with respect to the probability of a type I error. (Author/JKS)

A distribution-free test for trend in one-way experimental designs is described. Critical values are derived, and a schematic diagram is given so that a computer package can be implemented. (Author/JKS)

The problem of determining which of several populations has the largest mean is considered. The procedure described by Dudewicz and Dalal is extended to the case of unequal sample sizes. (JKS)

Defining population diversity as the distribution along a continuum of homogeneity to heterogeneity with respect to one or more variables, measures are described with variance-based interpretations which can be applied to qualitative data. It is possible to use these statistics to define relationships in multivariate distributions. (Author/CTM)

Dunnett's procedure for comparing K-1 treatments with a control is discussed within the context of three nonparametric models: those of Kruskal-Wallis, Friedman, and Cochran. (Author/MH)

A statistical test for analysis of repeated measures is presented. It is shown that an appropriate chi-square statistic can be computed for related measures by taking account of the covariance among trials in computing a variance for the chi square statistic. (Author/JKS)

Twelve variance-analytical and nonparametrical coefficients of reliability for rating scales designed for rating persons were compared to each other theoretically and empirically. Preference for two coefficients was established. The intraclass correlation coefficient appeared to be useful for the estimation of reliability as well. (Author/RL)

A method to provide estimates of parameters of specified nonlinear equations from ordinal data generated from a crossed design is presented. The statistical basis for the method, called NOPE (nonmetric parameter estimation), as well as examples using artifical data, are presented. (Author/JKS)

Two bootstrapping or resampling strategies were investigated to determine their applicability to estimating standard errors and ensuing confidence intervals on variance components in two-factor random analysis of variance models. In light of prior negative findings regarding the application of bootstrapping to this particular problem, a…

A statistical framework for investigating various regression approaches to linear composites is presented in this monograph. The consequences of variance approaches for psychometric theory are discussed. (A six-page bibliography is appended). (JKS)

In order to examine the possible effects of violation of assumptions using parametric procedures, this study is an exploratory investigation into the use of parametric versus nonparametric procedures using a multiple case study design. The case study investigation guidelines outlined by Yin served as the methodology. The following univariate…