The "Traveling Salesman" and similar combinatorial programming tasks encountered in operations research are discussed as possible data analysis models in psychology, for example, in developmental scaling, Guttman scaling, profile smoothing, and data array clustering. A short overview of various computational approaches from this area of…

An application of Samejima's latent trait model for continuous responses was applied using the Impulsivity and Harmavoidance scales of Jackson's Personality Research Form; attention was given to the requirement that the model be invariant across populations and sex groups. Responses from males were found to fit the model better than those from…

Econometric techniques for estimating the parameters of individual and group multi-attribute utility models are discussed. These techniques permit measurement of intra-and inter-individual heterogeneity with regard to the importance ascribed to the model attributes. (Author/JKS)

A rederivation of Lord's formula for estimating variance in multiple matrix sampling is presented as well as the ways Cronbach's coefficient alpha and the Spearman-Brown prophecy formula are related in this context. (Author/JKS)

A model is presented which allows for the prediction of relationships among stimuli when stimulus responses are linearly related to squared distances between stimulus scale values and person scores along a latent continuum. Applications to developmental and attitudinal data are discussed. (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)

The analytical procedure of path analysis is described in terms of its use in nonexperimental settings in the social sciences. The description assumes a moderate statistical background on the part of the reader. (JKS)

Discusses an introductory chemical engineering course in which mathematical models are used to analyze experimental data. Concepts illustrated include dimensional analysis, scaleup, heat transfer, and energy conservation. (MLH)

The relationship between mathematics and chemistry has been changing rapidly in recent years. Some chemistry teachers have experienced difficulties in their teaching with the introduction of modern mathematics in the schools. Some suggestions for reinforcing the concepts and language of modern mathematics are put forth. (Author/MA)

Elementary differential calculus is used to analyze and to discuss some complex economic situations. (JT)

The author uses mathematical models that involve only algebra and a few basic ideas in discrete probability to describe the frequency of conception in large human societies. A number of calculations which can be done by students as exercises are given. (MN)

Vector sum of a white noise in an unknown hyperspace and an Ornstein-Uhlenbeck process in an unknown line is observed through sharp linear test functions over a finite time span. Parameters associated with white noise are determinable and index measure-equivalence classes in relevant sample space. Intraclass relative density provides a basis for…

This paper provides cost-effectiveness measures that can be used for analyzing secondary vocational programs in terms of program effectiveness against cost-efficiency. (Author/IRT)

Describes a mathematical salary-growth model which serves as the basis of an objective conversion procedure (providing a more equitable merit-pay plan). Also demonstrates how this procedure was used and discusses additional benefits (particularly pertinent to institutions using arbitrary criteria to determine pay increments and have lock-step…

Estimation theory in educational statistics and the application of hierarchical linear models are reviewed. Observations within each group vary as a function of microparameters. Microparameters vary across the population of groups as a function of macroparameters. Bayes and empirical Bayes viewpoints review examples with two levels of hierarchy.…