The Automatic Interaction Detector (AID) is discussed as to its usefulness in multiple regression analysis. The algorithm of AID-4 is a reversal of the model building process; it starts with the ultimate restricted model, namely, the whole group as a unit. By a unique splitting process maximizing the between sum of squares for the categories of…

This research is a study of demands for books in library circulation systems. Demand data for random samples of books were collected and fitted to various standard distributions. The numbers of demands for collections of books are shown to be Negative Binomially distributed. As is shown, this implies that the numbers of demands for individual…

A class of tests for normality using the ratio of two estimates of the standard deviation is generalized to provide a class of tests for multivariate normality using a characterization of the multivariate normal. The posers of some of the tests are examined numerically and compared with the power of a recent similar test. (Author)

Games (1973) criticized the Marascuilo and Levin (1970) "nested" or simple effects design as a poor substitute for the usual logic of a factorial analysis of variance. Marascuilo and Levin's use of "nesting" is completely idiosyncratic and contrary to well-established usage, thus confusing the student. Proper usage is…

Although analysis of variance is the most popular statistical tool to researchers in the behavioral sciences, the casual user has recognized only recently that there is no single correct way to perform such an analysis. This paper is concerned with hypotheses tested in the two-way, fixed model under a variety of conditions: (1) with and without…

The approaches taken to psychological research are discussed. Studies are classified as axiomatic, classical, stochastic or statistical, or structural. The mathematical models used in each type of study are discussed. (SD)

When the logistic function is substituted for the normal, Thurstone's Case V specialization of the law of comparative judgment for paired comparison responses gives an identical equation for the estimation of item scale values, as does the Rasch formulation for direct responses. Comparisons are made. (Author/CTM)

A rigorous definition for a factor analysis model and a complete solution of the factor score indeterminacy problem are presented in this technical paper. The meaning and application of these results are discussed. (Author/JKS)

A special case of Bloxom's version of Tucker's three mode factor analysis model is developed statistically. A goodness of fit test and an empirical example are presented. (Author/JKS)

A general statistical model for simultaneous analysis of data from several groups is described. The model is primarily designed to be used for the analysis of covariance. The model can handle any number of covariates and criterion variables, and any number of treatment groups. (Author/JKS)

The normal scores test for scale (variance) is presented as an alternative for evaluating the equality of dispersion for two independent populations. Test development is indicated as well as examples illustrating large and small sample situations. Reference is made to comparisons with the F, Mood, and Siegel-Tukey tests. (Author/JKS)

Network analysis is a dynamic tool for managing routine administrative and operating procedures. The network serves as a mathematical model that identifies the relationships, interdependencies, and constraints in a project showing the sequential steps needed to reach a given objective event. (Author/IRT)

Suggests that a possible reason for receiver-operating characteristics (ROC) curves having a slope other than unity when plotted on Normal-deviate axes is that the dichotomy into relevant and nonrelevant items is artificial, and that there is really a bivariate distribution of objective relevance and relevance as assessed by the information…

Mathematical modeling has gained prominence as a means of improving educational planning. One often-used model is the Markovian Model. It is shown that education, being hierarchical, is amenable to Markov-type analysis. Some consequences of the model and some results of its application in Nigeria are noted. (Author/MP)

Describes an economic modeling approach to evaluating the cost and benefits associated with providing information services through information centers. The approach develops a framework for understanding observations about the demand for scientific and technical information and integrating these observations with fundamental economic principles.…