Three exact probability tests, counterparts of t tests for single sample, independent samples, and dependent samples, are described for data obtained from ratings on "m" scales by a single rater or on a single scale by "n" raters. (LMO)

New tests for comparing the strength of association between a variable and each of two potential predictor variables are proposed and compared to an existing test in a simulation study. Recommendations for use are made. (Author/JKS)

This paper advocates the use of nonparametric statistics. First, the consequence of using parametric inferential techniques under nonnormality is described. Second, the advantages of using nonparametric techniques are presented. The third purpose is to demonstrate empirically how infrequently nonparametric statistics appear in studies, even those…

In a Monte Carlo analysis of single-subject data, Type I and Type II error rates were compared for various statistical tests of the significance of treatment effects. Data for 5,000 subjects in each of 6 treatment effect size groups were computer simulated, and 2 types of treatment effects were simulated in the dependent variable during…

Copies of this paper and a source listing which includes input and output data for sample problems can be obtained from the author at Temple University, Philadelphia, Penna. (Author/MB)

This nonparametric analysis of variance program includes the Kruskal-Wallis, Friedman, and Cochran methods. (DG)

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 FORTRAN program is provided for calculating the power of statistical tests based on the chi-square distribution. The program produces approximations to the exact probabilities obtained from the noncentral chi-square distribution. The calculation of the noncentrality parameter is discussed for tests of independence and goodness of fit.…

The G index is a measure of similarity between pairs of dichotomized items. The G index is generalized here to the case where items are trichotomized. (JKS)

This paper describes an exact small sample test, and provides a table of critical values for an approximate large sample test, to determine if a sample of Likert-Type ratings indicates significant agreement or disagreement in a population of such ratings. (Author)

H. H. Chang and W. F. Stout (1993) presented a derivation of the asymptotic posterior normality of the latent trait given examinee responses under nonrestrictive nonparametric assumptions for dichotomous item response (IRT) theory models. This paper presents an extension of their results to polytomous IRT models and defines a global information…

The nonparametric Mokken model of test data was compared with parametric models using simulated data through latent class analysis. It is demonstrated that latent class analysis provides a consistent comparison of item response models. (SLD)

Discusses extending research into differential item functioning (DIF) to performance assessment and considers some of the best options available at this time. The most effective strategy for assessing DIF is to use a combination of several methods, preferably one from each of the observed score nonparametric, latent score nonparametric, and…