Relationships between the Rasch test analysis model, the law of comparative judgment, and additive conjoint measurement are discussed. (Author/JKS)

Finding and interpreting lower bounds for reliability coefficients for tests with non-homogeneous items has been a problem for psychometricians. A computer search procedure is developed for locating such a lower bound in a variety of settings. (Author/JKS)

In this study, the statistical properties of extended caution indices are investigated, and their relationships to Guttman scales and to item and person response curves are discussed. Further, these indices are standardized, and an example of their potential usefulness for diagnosing students' misconceptions is shown. (Author/BW)

Two lower bounds to reliability in classical test theory, Guttman's lamda and Cronbach's alpha, are shown to be terms of an infinite series of lower bounds. All terms of this series are equal to reliability if and only if the test contains items which are tau-equivalent. (Author/JKS)

Three counterexamples demonstrate that the Dutch Identity conjecture of P. Holland about examinee ability (1990) does not hold in general. The counterexamples suggest that only under strong assumptions can it be true that the limits of log-manifest probabilities are quadratic. Three propositions giving such strong conditions are given. (Author/SLD)

Ordinal measurement is the rank ordering of individuals in a population. For ordinal measurement, the concept of an individual propensity distribution is his or her true score. Estimation of, as well as other aspects of the distribution, are discussed. (Author/JKS)

Finding and interpreting lower bounds for reliability coefficients for tests with nonhomogenous items has been a problem for psychometricians. This paper presents a mathematical formula for finding the greatest lower bound for such a coefficient. (Author/JKS)

A general class of differentiation indices is introduced for profiles of scores. Their ordinal properties and an application to Holland's classification system are examined. Comparison with other suggested indices is performed both theoretically and empirically. (Author)

A new method is proposed for a simultaneous factor analysis of dichotomous responses from several groups of individuals. The method makes it possible to compare factor loading pattern, factor variances and covariances, and factor means over groups. Generalized least squares is used as the estimation procedure. (Author/JKS)

A rating response mechanism for ordered categories such as in Likert scaling, which is related to the traditional threshold formulation but distinctively different from it, is formulated. The mechanism is based on the Rasch model. Two parameters in addition to the usual Rasch parameters are identified and discussed. (Author/JKS)

When comparing examinees to a control group or person, the examiner usually does not know the probability of correct classification based on the number of items used and the number of people tested. Using ranking and selection techniques, a framework is described for deriving a lower bound on this probability. (Author/JKS)

A model for the setting of mastery cut scores is presented. The model, based on the beta-binomial test distribution, allows for hand calculation of cut scores. The model provides a simple way to explore the consequences of selecting a particular cut score. (Author/JKS)

Methods for estimating the mean and variance of latent ability parameters of a normally distributed population that has been tested with Rasch model-calibrated test items are discussed. Methods for checking the normality of the population are also included. (JKS)

A latent class model for rating data is presented which provides an alternative to the latent trait approach of analyzing test data. It is the analog of Andrich's binomial Rasch model for Lazarsfeld's latent class analysis (LCA). Response probabilities for rating categories follow a binomial distribution and depend on class-specific item…

Two problems were considered for random-model, fully-crossed, two- and three-facet experimental designs. (Editor/RK)