Two iterative procedures for constructing Rasch scales are presented. A log-likelihood ratio test based on a quasi-loglinear formulation of the Rasch model is given by which one item at a time can be deleted from or added to an initial item set. In the so-called "top-down" algorithm, items are stepwise deleted from a relatively large…

The usefulness of the general Rasch model for multidimensional data, from the most simple formulations to the more complex versions of the model, is explored. Also investigated was whether the parameters of the models could be readily interpreted. Models investigated included: (1) the vector model; (2) the product term model; (3) the vector and…

Problems associated with the analysis of data collected using the Solomon Four Group Design are discussed. The design includes an experimental group and a control group that have been pretested and posttested, and an experimental and a control group that have been posttested only. A sample problem is approached in three different ways. First, the…

Characteristics of liberal arts education and different approaches to educational modeling are examined. Attention is directed to: applications of graphic depictions; Venn-Euler diagrams to represent inclusion-exclusion phenomena as well as areas of commonality in learning processes and liberal education; the uses of flow charts for describing…

Traditionally, confirmatory factor analytic models are tested against a null model of total independence. Using randomly generated factors in a matrix of 46 aptitude tests, this approach is shown to be unlikely to reject even random factors. An alternative null model, based on a single general factor, is suggested. In addition, an index of model…

Researchers are now attempting to improve techniques for studying stable behavior patterns in family systems over long periods of time, e.g., the marital dyad across several levels of function and dysfunction covering time periods of months to years. One approach to improving this research design is based on the assumptions that longitudinal…

One means of learning about the processes operating in a multiple choice test is to include some test items, called nonsense items, which have no correct answer. This paper compares two versions of a mathematical model of test performance to interpret test data that includes both genuine and nonsense items. One formula is based on the usual…

This report documents a computer program for simulation evaluation of item response theory (IRT) ability estimators. This Honeywell DPS version is a very slight modification of the program originally developed in FORTRAN-77 on a DEC VAX 11/780. The model of the world simulated by the program involves a unidimensional test in which the probability…

This book is intended as a demonstration that a variety of interesting problems suitable for use in the school mathematics experience of everyperson can be fabricated from available sources. It is intended to be illustrative rather than exhaustive. The problems in the book are intended to be accessible to children by the middle school years. The…

A communication model suggests that in almost all cases where dissemination and utilization of knowledge has taken place, one or more of seven general factors can be identified as having been active in aiding the phenomena. The proposed factors are: linkage, structure, capacity, openess, reward, proximity, and synergy. In order to use this model…

The problem of spurious significance in multivariate exploratory research is discussed. When a very large number of statistical tests are performed, many tests will be significant on the basis of chance alone. To counter this problem, the use of two sign tests to analyze sets of results has been suggested; the chance expectation [CE test] assesses…

Few phenomena in psychology have been studied more than reaction time. However, while response latency now provides the basic data for research in many areas of cognitive psychology, little work has been done on the problem of incorporating response latency in the measurement of individual differences. A solution to this problem requires the…

This publication describes some of the work of the UNESCO Division of Statistics on Education on the evaluation of the internal efficiency of educational systems that followed from the 1970 International Conference on Education. The first section contains a brief summary of the conclusions of the "Expert Meeting on the Evaluation of Internal…