Two nonparametric statistical methods, the inverse normal scores method and the rank order transformation, are compared for use in discriminant function analysis. The methods are compared for both normal and non-normal distributions. When the distributions are normal, the rank and inverse normal scores methods are effective substitutes for the…

Post hoc multiple comparison procedures useful in assessing differences in population variability are formulated for three nonparametric alternatives to the parametric Bartlett test. The three nonparametric tests are the generalized Puri K-sample extensions of the Siegel-Tukey, mood, and Klotz tests. (Author/CTM)

Three different nonparametric tests for scale--the Siegel-Tukey (S-T), the Mood (M), and the Normal Scores (NS)--are compared in order to contrast varying methods of scale test development and usage. Procedures for developing the three scale tests are discussed, and two examples of the use of each test in solving the same problem are given. From…

Four nonparametric alternatives to the parametric Bartlett test are presented for handling the K-sample equality of variance problem. The two sample Siegel-Tukey Test, Mood Coefficient of Alienation Test, and Klotz Test are extended to the multisample situation by the methods of Puri. A fourth alternative involving a Q-statistic procedure…

Behavioral scientists often wish to determine if a sample has been taken from a symmetric population. Similarly, classroom teachers are interested in symmetry if they wish to grade on a "curve." Previously, the sign test, the Wilcoxon test and the t-test have been used to test a hypothesis concerning the symmetry of a distribution of…

The normal scores test for scale (variance) is presented as an alternative for evaluating the equality of dispersion for two independent populations. Test development is indicated as well as examples illustrating large and small sample situations. Reference is made to comparisons with the F, Mood, and Siegel-Tukey tests. (Author/JKS)

The development of a nonparametric K-sample test for equality of slopes using Puri's generalized L statistic is presented. The test is recommended when the assumptions underlying the parametric model are violated. This procedure replaces original data with either ranks (for data with heavy tails) or normal scores (for data with light tails).…

Three nonparametric alternatives to the parametric Bartlett test are presented for handling the K-sample equality of variance problem. The two-sample Siegel-Tukey test, Mood test, and Klotz test are extended to the multisample situation by Puri's methods. These K-sample scale tests are illustrated and compared. (Author/GDC)

Type I error rate and power for the t test, Wilcoxon-Mann-Whitney test, van der Waerden Normal Scores, and Welch-Aspin-Satterthwaite (W) test are compared for two simulated independent random samples from nonnormal distributions. Conditions under which the t test and W test are best to use are discussed. (SLD)

Thirty-four papers on educational statistics which were presented at the 1971 AERA Conference are summarized. Six major interest areas are covered: (a) general information; (b) non-parametric methods; (c) errors of measurement and correlation techniques; (d) regression theory; (e) univariate and multivariate analysis; (f) factor analysis. (MS)