A basic description of the Rasch model and a brief review of the work previously done on the model is related. Simulated data was used to test goodness of fit to the Rasch model. It was found that data with near perfect fit to the Guttman model provides perfect fit to the Rasch model, though a perfect Guttman scale collapses. Random data also…

In the present article it is argued that the Least Squares Simplex Data Matrix Solution does not deal adequately with difficulty factors inasmuch as the theoretical foundation is insufficient. (Author/CB)

A measure of the usefulness of a pass/fail testing decision procedure is the ratio of the utility of the given procedure to the utility of a procedure based on knowledge of scores on a criterion measure. It is computed from scores for a representative sample of persons tested. Utility functions may be specified by the test user or set by…

Developing a student testing mathematical model for instructional management purposes necessitates clear structuring of the curriculum materials involved, whether designated in the domain of content or the dimension of concepts or skills. Such structuring of a course written in performance objectives is presented and noted to be helpful in making…

Contains a solution for the multidimensional scaling of pairwise choice when individuals are represented as dimensional weights. The analysis supplies an exact least squares solution and estimates of group unscalability parameters. (DG)

Bounds for the tails of Dirichlet integrals are established by showing that each integral as a function of the limits is a Schur function. In particular, it is shown how these bounds apply to the simultaneous analysis of variance test and to the multinomial distribution. (Author)

A set procedure developed in this study is useful in determining sample size, based on specification of linear contrasts involving certain formula treatments. (Author/DEP)

The mathematical models of this paper were developed as an outgrowth of working with the Comprehensive Achievement Monitoring project (Project CAM) which was conceived as a model and application of sampling procedures such as those used in industrial quality control techniques to educational measurement. This paper explores mathematical modeling…

A method for estimating power scores is described. By way of illustration, it is applied to 21 students who were improperly timed on a standard test. Some empirical results are given in support of the estimation procedure. (Author)

A general Computer program is described that will compute asymptotic standard errors and carry out significance tests for an endless variety of (standard and) nonstandard large-sample statistical problems, without requiring the statistician to derive asymptotic standard error formulas. The program assumes that the observations have a multinormal…

Quantitative growth curve models for estimating individual developmental functions from various types of longitudinal data are discussed in the context of investigator assumptions and research design characteristics. Linear and nonlinear models that estimate growth curves are illustrated, and contrasted when they are fit to speech development…

Since all commonly used latent trait models assume a unidimensional test, the applicability of the procedure to obviously multidimensional tests is questionable. This paper presents the results of the application of latent trait, traditional, and factor analyses to a series of actual and hypothetical tests that vary in factoral complexity.…

The previous theoretical development of the Poisson process as a strong model for the true-score theory of mental tests is discussed, and additional theoretical properties of the model from the standpoint of individual examinees are developed. The paper introduces the Erlang process as a family of test theory models and shows in the context of…

Twenty-two papers and discussions presented at the 1979 annual meeting of the American Statistical Association are reproduced. Papers dealing with student evaluation of instruction include "An Analysis of Student Evaluation of Instruction and Relationships Among Salary, Chairman's Ratings, and Student Ratings of Faculty," by Alvin C. Rencher;…

This research investigated the use of the Rasch simple logistic model in obtaining test-free ability estimates. Tests employing word, picture, symbol and number analogies were administered to college and high school students. The results show that the Rasch model does not offer an improvement over the use of percentile ranks in estimating…