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Ryan, Thomas P. – Multiple Linear Regression Viewpoints, 1978
The problem of selecting regression variables using cost criteria is considered. A method is presented which approximates the optimal solution of one of several criterion functions which might be employed. Examples are given and the results are compared with the results of other methods. (Author/JKS)
Descriptors: Cost Effectiveness, Data Analysis, Mathematical Models, Multiple Regression Analysis

Shapiro, Perry; Morgan W. Douglas – National Tax Journal, 1978
Develops a general revenue model that incorporates the feedback and interaction between major federal, state, and local revenue sources. The model is applied to California for the 1965-75 period and the results are applied to an analysis of the property tax limitation initiative. Available from Stanley J. Bowers, Executive Director, NTA-TIA, 21…
Descriptors: Income, Mathematical Models, Property Taxes, Statistical Analysis

Hofmann, Richard J. – Multivariate Behavioral Research, 1978
A computational algorithm, called the orthotran solution, is developed for determining oblique factor analytic solutions utilizing orthogonal transformation matrices. Selected results from illustrative studies are provided. (Author/JKS)
Descriptors: Factor Analysis, Mathematical Models, Matrices, Oblique Rotation

Brennan, Robert L.; Kane, Michael T. – Journal of Educational Measurement, 1977
An index for the dependability of mastery tests is described. Assumptions necessary for the index and the mathematical development of the index are provided. (Author/JKS)
Descriptors: Criterion Referenced Tests, Mastery Tests, Mathematical Models, Test Reliability

Krus, David J. – Educational and Psychological Measurement, 1977
Order analysis is discussed as a method for description of formal structures in multidimensional space. Its algorithm was derived using a combination of psychometric theory, formal logic theory, information theory, and graph theory concepts. The model provides for adjustment of its sensitivity to random variation. (Author/JKS)
Descriptors: Mathematical Models, Measurement, Multidimensional Scaling, Rating Scales

Woodhouse, Brian; Jackson, Paul H. – Psychometrika, 1977
Finding and interpreting lower bounds for reliability coefficients for tests with non-homogeneous items has been a problem for psychometricians. A computer search procedure is developed for locating such a lower bound in a variety of settings. (Author/JKS)
Descriptors: Computer Programs, Mathematical Models, Measurement, Test Interpretation

Aldag, Ramon J.; Brief, Arthur P. – Human Relations, 1978
Researchers have generally assumed overall job satisfaction to be an additive function of weighted job satisfaction facet scores. This paper considers the linear compensatory model as well as two nonlinear alternatives. Available from: Ramon J. Aldag, University of Wisconsin, 1155 Observatory Drive, Madison, Wisconsin 53706. (Author)
Descriptors: Job Satisfaction, Mathematical Models, Measurement Techniques, Multiple Regression Analysis

Pratt, Allan D. – Journal of the American Society for Information Science, 1977
An index of concentration for rank-frequency distributions is proposed which permits comparison of subject and journal concentration in various fields. Applications of the measure to different aspects of bibliometrics are suggested. (Author)
Descriptors: Comparative Analysis, Intellectual Disciplines, Mathematical Models, Measurement

Aiken, Lewis R. – Educational and Psychological Measurement, 1987
Formulas for transforming scores and statistics on a rating scale having any number of categories to a scale having a different number of categories are described. To illustrate the use of one of the formulas, the means and variances of items on six forms of a course evaluation questionnaire were compared. (Author/LMO)
Descriptors: Mathematical Models, Rating Scales, Scoring, Statistical Studies

Bergman, Lars R.; El-Khouri, Bassam – Educational and Psychological Measurement, 1987
A program named EXACON is presented which performs exact cellwise analyses of two-way contingency tables. One-tailed probabilities are computed for the observed frequency of each cell according to two different models. Even though exact probabilities are computed, EXACON does not demand much computer time even for fairly large samples. (Author/LMO)
Descriptors: Computer Software Reviews, Input Output, Mathematical Models, Minicomputers

Tremblay, Victor J.; Wohl, Lawrence A. – Journal of Economic Education, 1988
Formally states the Thick Point Theorem and explicates the proof. Explores the key point for use of the Theorem. (GEA)
Descriptors: Economics, Economics Education, Mathematical Concepts, Mathematical Models

Alo, Richard A.; And Others – Journal of the American Society for Information Science, 1987
Presents a mathematical model of a decision maker subject to goal uncertainty which shows that a dominant course of action will always emerge. The theory of multivalued functions is used to express goal uncertainty, and a specific example is described to provide insight into how the procedure works in practice. (Author/EM)
Descriptors: Decision Making, Feedback, Information Systems, Information Utilization

Raghavan, Vijay V.; Wong, S. K. M. – Journal of the American Society for Information Science, 1986
Presents notations and definitions necessary to identify the concepts and relationships that are important in modelling information retrieval objects and processes in the context of vector spaces. Earlier work on the use of vector models is evaluated in terms of the concepts introduced and certain problems are identified. (Author/EM)
Descriptors: Information Retrieval, Mathematical Models, Relevance (Information Retrieval), Vectors (Mathematics)

Hofacker, Charles F. – Multivariate Behavioral Research, 1984
An alternative for analyzing responses to Likert Scales is proposed, using additive conjoint measurement. It assumes that subjects can report their attitudes toward stimuli in rank order. Neither within-subject nor between-subject distributional assumptions are made. Nevertheless, interval level stimulus values and response category boundaries are…
Descriptors: Attitude Measures, Mathematical Models, Responses, Statistical Analysis
Choppin, Bruce – Evaluation in Education: An International Review Series, 1985
Preparing this article posthumously from Choppin's presentation notes, the author used the historical development of thermometry to suggest some lessons for educational measurement: (1) mathematical models are important; (2) models can be useful long before their underlying processes are understood; and (3) since there are no true models, there…
Descriptors: Educational Assessment, Educational Research, Mathematical Models, Psychometrics