Many multidimensional item response theory (IRT) models have been proposed. A comparison is made between the so-called full information models and the models that use only pairwise information. Three multidimensional models described are: (1) the compensatory model of R. D. Bock and M. Aitken (1981) using the computer program TESTFACT; (2) a model…

Four discussions of test construction based on item response theory (IRT) are presented. The first discussion, "Test Design as Model Building in Mathematical Programming" (T. J. J. M. Theunissen), presents test design as a decision process under certainty. A natural way of modeling this process leads to mathematical programming. General…

This document contains three papers from the Methodology Project of the Center for the Study of Evaluation. Methods for characterizing test accuracy are reported in the first two papers. "Bounds on the K Out of N Reliability of a Test, and an Exact Test for Hierarchically Related Items" describes and illustrates how an extension of a…

The current state of usage of regression models in analysis of variance (ANOVA) designs is empirically examined, and examples of several statistical errors made in usage are presented. The assumptions of the general linear model are that all predictors are known without error of measurement and are fixed with no replication or sample variation; in…

The efficacy of the CATES system for making training decisions and determining student proficiency in Naval in-flight training proposed in an earlier study (Rankin and McDaniel, 1980) is compared with the present system of instructor judgments for performance assessment. The current study used 29 newly-designated naval aviators undergoing Fleet…

The psychometric properties associated with the "specific objectivity" of the simple logistic model are acknowledged to be far superior to those of competing models. It is therefore the ideal model to be used for test development or for the analysis of any measuring instrument developed within a well-defined psychological construct. In…

The results of six major projects are discussed including a comprehensive mathematical and statistical analysis of the problems caused by errors of measurement in linear models for assessing change. In a general matrix representation of the problem, several new analytic results are proved concerning the parameters which affect bias in…

Recent research on solving addition and subtraction word problems has resulted in the construction of theoretical models of children's problem-solving processes. Some of these models have been translated into computer programs. Characteristics and predictions of the theoretical analysis developed by Riley, Greeno, and Heller (1983) are discussed…

Simple sum procedure of the conditional PDF approach (plausiblity of distractor function) combined with the normal approach method was applied for estimating the plausibility functions of the distractors of the Level II vocabulary subtest items of the Iowa Tests of Basic Skills. In so doing, the normal ogive model was adopted for the correct…

Recent developments in dichotomous factor analysis based on multidimensional item response models (Bock and Aitkin, 1981; Muthen, 1978) provide an effective method for exploring the dimensionality of questionnaire items. Implemented in the TESTFACT program, this "full information" item factor analysis accounts not only for the pairwise…

The impact of faculty unionization on faculty compensation, research contract revenues, student tuition and fees, and other financial considerations are examined in this report. The study uses multiple regression models to analyze the net impact of collective bargaining on a sample of over 100 union and nonunion institutions. Faculty compensation…

A cost-effectiveness/benefit analysis is defined as a technique for measuring the outputs of existing and new programs in relation to their specified program objectives, against the costs of those programs. In terms of its specific use, the technique is conceptualized as a systems analysis method, an evaluation method, and a planning tool for…

This publication consists of three papers that deal with the statistical evaluation of the inschool and out-of-school population of UNESCO member nations from a purely demographic viewpoint. Particular attention is devoted to the statistical aspects of measuring school retardation, the age structure of the enrolled and not-enrolled population, and…

A stepwise regression technique was used to analyze assessment data while taking differences in nonschool variables across districts into account. The primary purpose of this investigation was to determine whether the inclusion of quadratic and/or interaction terms in a regression model would improve the prediction of school district average…

This paper extends previous numerical results of the Flexible Equal Employment Opportunity (FEEO) model, a goal programing model (developed by A. Charnes, W. W. Cooper, K. A. Lewis, and R. J. Niehaus) consisting of Markoff transition elements imbedded in a goal programing framework with priorities that allow for element alteration to provide the…