Problems associated with ranking a large number of objects are discussed. It is recommended that only a subset of the most preferred objects be ranked by each judge. A test statistic for testing the hypothesis of no difference in preference among the objects is developed for the recommended procedure. (Author/JKS)

An approach for modifying the results of asymptotic theory to improve the performance of statistical procedures in small to moderate sample sizes is described in the context of hypothesis testing. The method is illustrated by a series of examples. (Author)

Two multivariate probability distributions, a generalized beta distribution and a generalized F distribution, are derived. Formulas for the moments of these distributions are given and an example of the bivariate generalized beta is presented. (Author/JKS)

The robustness of hypothesis tests for the correlation coefficient under varying conditions is discussed. The effects of violations of the assumptions of linearity, homoscedasticity, and kurtosis are examined. (JKS)

A statistical technique is proposed for comparing an empirically obtained matrix of the perceived similarity of paired stimuli against a set of distinctive features that supposedly characterize the stimuli on which the matrix is based. The statistical development of the technique and an example are presented. (Author/JKS)

Assignment of subjects to treatment groups on the basis of a covariate is discussed. It is contended that in making such assignments, consideration should be focused on the conditional expectations of the dependent variable given in the covariate in both treatment and control groups. Statistical development and an example are presented. (JKS)

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)

Reluctance to use group mean as the unit of analysis is partly due to the belief that fewer observations per treatment greatly reduces the probability of detecting a treatment effect. This is discussed; equations are presented to facilitate power estimates when the group mean is the unit of analysis. (Author/BW)

Fisher's exact probability test is severely conservative when interpreted with reference to conventional alpha levels due to the discontinuity of the sampling distribution for 2 x 2 tables. An adjustment of the cell frequencies is proposed that results in a correction for continuity with appropriate alpha protection and increased power. (Author)

This paper surveys available techniques and introduces an explicit statement of a new statistic to test for equality of correlated proportions in a polychotomous response design. A set of guidelines for the potential user of the techniques is provided. (Author/CTM)

Means of identifying sources of rejection of hypotheses regarding linear multivariate statistical models are discussed. Problems with the use of a global test using Roy's largest root criterion and means of solving them are presented, along with a practical application of the techniques. (TJH)

The robustness of the statistic for complex contrasts in analysis of variance is compared to the statistic developed by Welch. The Welch statistic is recommended as the benchmark test for complex contrasts. (Author/JKS)

Statistical techniques for summarizing results from independent correlational studies are presented. The case in which only the sample correlation coefficients are available and the case in which the original paired data are available are both considered. (Author/JKS)

Valid statistical tests for one-subject experiments are necessary to justify statistical inferences and to ensure the acceptability of research reports to a wide range of journals and readers. The validity of randomization tests for one-subject experiments is examined. (See TM 505 800-801).(Author/JKS)

Two types of problems supposedly associated with the use of randomization tests for single-subject experiments have been discussed: the random introduction of treatments and the repeated alternation of treatments. Ways to reduce the adverse effects associated with these problems are presented. (See TM 505 799-800). (Author/JKS) (Author/JKS)