In experiments with paired comparisons, judges are occasionally allowed to express indifference between alternatives. For the analysis of such data, models for paired comparisons with ties are needed. Several models with tie parameters are reviewed. All are extensions of the basic models of L. L. Thurstone (1927) and R. A. Bradley and M. E. Terry…

This paper is concerned with estimation and hypothesis testing of treatment effects in nonequivalent control group designs with the assumption that in the absence of treatment effects, natural growth conforms to a particular class of continuous growth models. Point estimation, interval estimation, and hypothesis testing procedures were developed…

A general model for the homogeneous case of the continuous response is proposed. The model is an expansion and generalization of the one proposed by the author in 1974, in which the open response situation is dealt with. In this generalized model, the closed response situation is dealt with, and it includes the model for the open response…

This report contains a theoretical model for describing the motion of a passenger car. The simulation program based on this model is used in conjunction with an advanced driving simulator and run in real time. The mathematical model is complete in the sense that the dynamics of the engine, transmission and steering system is described in some…

The usefulness of path analysis as a means of better understanding various linear models is demonstrated. First, two linear models are presented in matrix form using linear structural relations (LISREL) notation. The two models, regression and factor analysis, are shown to be identical although the research question and data matrix to which these…

Through utilization of effective sampling procedures, libraries may obtain substantial savings in terms of data collection costs. (Author)

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…