Three potential models for the 2 X 2 contingency table are discussed: (1) the hypergeometric Independence Trial; (2) the double-binomial Comparative Trial; and (3) the multinomial Double Dichotomy Trial. Subsequently, the critical regions of seven statistical tests are evaluated within each of these models. (TJH)

The use of a quasi-equiprobability model in the measurement of observer agreement involving dichotomous coding categories is described. A measure of agreement is presented which gives the probability of agreement under the assumption that observation pairs reflecting disagreement will be equally probable. (Author/JKS)

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 structure of information matrices in latent-variable models is explicated, and the degree to which missing information can be recovered by exploring collateral variables for respondents is characterized. Results are illustrated in the context of item-response-theory models, and practical implications are discussed. (SLD)

Simulated data based on five test score distributions indicate that a slight modification of the asymptotic normal theory for the estimation of the p and kappa indices in mastery testing will provide results which are in close agreement with those based on small samples from the beta-binomial distribution. (Author/BW)

Manifest discrete time and latent Markov chain models are described, and the results given by each are compared for the re-analysis of a three-wave table of repeated behavior ratings of children. More recent developments in latent discrete time Markov chain modeling address the problems of the table more efficiently. (SLD)

Eight models that can be used to analyze data from a pretest-posttest design are discussed. Artificial data are used to demonstrate that comparisons among some of the models generate results identical to those obtained by using repeated analysis of variance measures. Such results are shown to be potentially misleading. (Author/TJH)

Two alternatives to the problems of conducting planned and post hoc comparisons in tests of concordance and discordance for G groups of judges are examined. The two models are illustrated using existing data. (Author/JKS)

When the experimental units are measured twice, and the response variable is dichotomous, the equality of the two proportions is usally assessed by Mc Nemar's (1947) test. In this paper, Bayesian methods are presented for testing hypotheses regarding the two success probabilities in light of complete and incomplete data. (Author/BW)

Based on the Gaussian model, methods for using measurements that depend on the true attribute to compute rankings are proposed and compared. Measurements based on an empirical Bayes model produce estimates that differ from ranking observed data. Ranking methods are illustrated with school achievement data. (TJH)

The average response method (ARM) of scaling nonbinary data was developed to scale data from the assessments of writing conducted by the National Assessment of Educational Progress (NAEP). The method is described and illustrated with data from the 1983-84 NAEP. (SLD)

Confidence envelopes for one-parameter, two-parameter, and three-parameter logistic item response models are illustrated. M-line plots showing the genesis of the envelope and the density of lines in the confidence region are described and illustrated. (Author/SLD)

Two forms, pure-rank and mixed-rank, of a nonparametric, general, linear model-based statistic that can be used to test several hypotheses are presented. A Monte Carlo study was used to investigate the distributional properties of these forms, and their use is discussed. (SLD)

Strategies for assessing item bias are discussed. Correct response probabilities in latent trait models are compared conditional on latent ability. Probabilities are compared conditional on the observed test score in Scheuneman's method. A method to assess item bias and distinguish between uniform and nonuniform bias is described. (Author/DWH)

Known results for testing and estimation problems for patterned means and covariance matrices with explicit linear maximum likelihood estimates are applied to the block compound symmetry problem. An example involving educational testing is provided. (Author/JKS)