The objectives of this project were (1) to select those problems faced continually by department chairmen, deans and college presidents, which relate to the efficiency with which educational resources are used, (2) to state essential features of these problems in mathematical form and identify their mathematical structures with management science…

In the traditional Guttman-Harris type image analysis, a transformation is applied to the data matrix such that each column of the transformed data matrix is the best least squares estimate of the corresponding column of the data matrix from the remaining columns. The model is scale free. However, it assumes (1) that the correlation matrix is…

The problem of designing computer programs that will approach human capabilities in pattern recognition is discussed. Human beings are much better at recognizing patterns that are highly structured than at recognizing patterns that are not. In contrast, a computer system's performance in pattern recognition is almost independent of the amount of…

The beta coefficient of an intermediate variable in a causal direction remains relatively constant as other system variables are introduced and controlled in stepped regression, whereas that in the acausal direction changes noticeably. Normalized random numbers (200x5) were generated and substituted in interdependent equations to produce five…

The major aim of this study is to devise a model for rationalizing sports policies by defining the basic concepts that should be inherent in any proper sports policy despite the infinite diversity that characterizes actual sport situations. The first part of the study discusses three concepts which are basic to the model: a) the "level of sport"…

Improvements of the Gaussian quadrature in conjunction with the Newton-Raphson iteration technique (TM 000 789) are discussed as effective methods of calculating the bivariate normal correlation coefficient. (CK)

Two formulations for lexicographic preferences are characterized by axioms which avoid direct reference to the importance ordering of wants or criteria that is part of the lexicographic principle. A condition which identifies the noncompensatory nature of lexicographic preferences emerges in each axiomatization. The first formulation involves…

Most articles on missing values assume the missing data are "missing at random" and ignore the process that "caused" the missing values. The condition under which this procedure is justified is explored here: the concept of missing at random is precisely defined, several examples are discussed, and two simple conditions are given which are…

Linear models are available for describing dominance and composition judgements. These models include parameters for the scale values of the stimuli, response order bias, and interaction between stimuli, all of which may be evaluated with analysis of variance procedures. (Author)

The computation of F ratios from cell means and standard deviations is shown for a two-way analysis of variance. (JKS)

Procedures to estimate the magnitude of a treatment effect are examined for analysis of variance (ANOVA) designs which have repeated-measures. In particular, it is argued that the estimate of utility (strength of effect) for a within-subjects variable should be adjusted to reflect the underlying ANOVA model. (Author/JKS)

The use of some very simple loss or utility functions in educational evaluation has recently been advocated by Gross and Su, Petersen and Novick, and Petersen. This paper demonstrates that more realistic utility functions can easily be used and may be preferable in some applications. (Author/CTM)

An energy input-output model was used to investigate energy and employment in the construction industry. (Author/BB)

It is shown that if a behavior domain can be described by the common factor model with a finite number of factors, the squared correlation between the sum of a selection of items and the domain total score is actually greater than coefficient alpha. (Author/JKS)

Commentary is presented on the preceding articles in this issue of the journal. Critical commentary is made article by article, and some general recommendations are made. (See TM 503 664 through 670). (JKS)