In this study, a mathematical model is used to tie both direct and indirect industrial pollution generated by fluctuations of the entire economy to behavioral patterns of the consuming public. The model studies consumer behavior patterns from three viewpoints: income of family, age of head of family, and regional location of family within the…

Describes a methodology for allocating limited research funds to individual research proposals through the use of a goal-programming approach. Presents an example using hypothetical data, which illustrates the use of the model, particularly its sensitivity to different priority weighting schemes. (Author/JG)

Vector space concepts are developed by consideration of solutions for linear homogeneous equations. (SD)

A theory is discussed in which observed performance ratings are derived from the distance between a rater reference point and subject performance point located on a postulated equal-interval scale and a postulated s-shaped rater characteristic curve, operationalized as the normal ogive. Least-squares estimates of rater (nR=47, 31, and 29) and…

A maximum likelihood estimation procedure is developed for the simple and the weighted additive models. The data are assumed to be taken by either one of the following methods: (1) categorical ratings--the subject is asked to rate a set of stimuli with respect to an attribute of the stimuli on rating scales with a relatively few observation…

An index measuring the degree to which a binary response pattern conforms to some baseline pattern was defined and named the Pattern Conformity Index (PCI). One way of conceptualizing what the PCI measures is the extent to which each individual's particular response pattern contributes to, or detracts from, the overall consistency found in the…

When investigating differences between two sets of scores, the t test is appropriate. If the two sets of data are from two groups of subjects, then the independent t test is appropriate. If the two sets are from the same subjects, the dependent t test is required. In this paper, the authors describe the use of a third test when part of a data set…

This mathematical model is intended to be a tool for the monitoring of the bargaining process and to provide the ability to predict the form of bargaining outcomes given certain initial conditions. It applies to situations in organizations in which the conflict between the expressed desires of interest groups are settled by a bargaining process…

A coherent system of decision making is described that may be incorporated into an instructional sequence to provide a supplement to the experience-based judgment of the classroom teacher. The elements of this decision process incorporate prior information such as a teacher's past experience, experimental results such as a test score, and…

The study of the dynamics of physical systems is of importance to all engineering students. LSSP, a Linear System Simulation Program, is used to study the behavior of physical phenomena and systems which may be represented to a good degree of approximation by linear models. Emphasis is placed upon the unity resulting from the mathematical…

Four recent indices emphasizing the interrelationships of score distribution shape, modality, mean, and variance were investigated to determine the reliability of mastery tests. Attention was focused on the values of the indices when the cutoff score was near to or far from the modes of distribution. Five types of score distributions were…

This paper, one of three related documents, explains a model for school finance in Michigan. First, it analyzes where school districts get their money and how they spend it. Next, it details a financial model that identifies the factors related to staff adequacy levels, estimates the strength of those factors, offers ideas for the components of a…

The relationship between transformation problem performance and Guilford Structure of Intellect (SI) abilities is explored. During two group sessions 42 females and 35 males, age 18-39, were administered 12 Guilford SI tests exemplifying all five symbolic content (numeric) operations, and three contents in the divergent production area. Logical…

An objective method based on the likelihood ratio procedure is presented for use in selecting a measurement model from among the RASCH, 2-parameter and 3-parameter logistic latent trait models. The procedure may be applied in a straightforward manner to aid in choosing between the 2-parameter and the Rasch models. When choosing between the 3- and…