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Lord, Frederic M. – Psychometrika, 1971
A two-stage testing procedure, a routing test followed by one of several alternative second-stage tests, is studied in the situation where the purpose is measurement, not classification. Models are developed, examined, and compared with conventional tests and up-and-down procedures. (DG)
Descriptors: Guessing (Tests), Mathematical Models, Measurement Techniques, Scoring

Goldberger, Arthur S. – Psychometrika, 1971
Several themes which are common to both econometrics and psychometrics are surveyed. The themes are illustrated by reference to permanent income hypotheses, simultaneous equation models, adaptive expectations and partial adjustment schemes, and by reference to test score theory, factor analysis, and time-series models. (Author)
Descriptors: Economics, Factor Analysis, Mathematical Models, Multiple Regression Analysis

Froemel, Ernest C. – Psychometrika, 1971
Saunder's routine, Buhler's empirical approximation, and Castellan's series expansion are compared. Saunder's routine was identified as an acceptably accurate method. (PR)
Descriptors: Comparative Analysis, Computer Programs, Correlation, Factor Analysis

Grinstein, Louise S. – Mathematics Teacher, 1971
Descriptors: Action Research, Management Systems, Mathematical Applications, Mathematical Models

Sowder, Larry – Arithmetic Teacher, 1971
Descriptors: Elementary School Mathematics, Fractions, Instruction, Mathematical Concepts

Luftig, Jeffrey T. – Journal of Studies in Technical Careers, 1983
This article reviews some of the less well-known hypothesis tests for variance, how they are employed, and how the results may be interpreted. Tests include testing for a single variance and the T-test for correlated variances. (CT)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models

Cliff, Norman – Multivariate Behavioral Research, 1983
The dangers of overlooking time-honored cautions in the making causal interpretations of data analyses from correlational studies when using highly sophisticated computer programs and their associated techniques are discussed. (JKS)
Descriptors: Computer Programs, Goodness of Fit, Mathematical Models, Multivariate Analysis

Langeheine, Rolf – Psychometrika, 1982
The degree to which Procrustean Individual Differences Scaling can be extended to related topics such as target analysis is discussed and a Monte Carlo study investigating the fit of the model under various conditions is presented. (JKS)
Descriptors: Data Analysis, Goodness of Fit, Individual Differences, Mathematical Models
Hazelrig, Jane B. – Physiologist, 1983
Discusses steps to be executed when studying physiological systems with theoretical mathematical models. Steps considered include: (1) definition of goals; (2) model formulation; (3) mathematical description; (4) qualitative evaluation; (5) parameter estimation; (6) model fitting; (7) evaluation; and (8) design of new experiments based on the…
Descriptors: College Science, Higher Education, Mathematical Models, Physiology

Muthen, Bengt; Joreskog, Karl G. – Evaluation Review, 1983
Selectivity problems are discussed in terms of a general model that is estimated by the maximum likelihood method. Both single-group and multiple-group analyses are considered. An extension of the general model to latent variable models is discussed. (Author/PN)
Descriptors: Mathematical Models, Maximum Likelihood Statistics, Quasiexperimental Design, Research Methodology
Jarjoura, David; Brennan, Robert L. – New Directions for Testing and Measurement, 1983
Multivariate generalizability techniques are used to bridge the gap between psychometric constraints and the tables of specifications needed in test development. Techniques are illustrated with results from the American College Testing Assessment Program. (Author/PN)
Descriptors: Data Analysis, Mathematical Models, Multivariate Analysis, Test Construction

Carr, John W.; And Others – Journal of Educational Statistics, 1982
Several randomized response models for gathering self-report data when persons are asked sensitive questions are reviewed. A new general model for reducing error by asking questions conditional upon earlier answers is introduced. Hypothesis testing and confidence-interval procedures are demonstrated for data collected by the randomized response…
Descriptors: Data Analysis, Hypothesis Testing, Interviews, Mathematical Models
Structure and Process in Pupils' Essays: A Graphical Analysis of the Organisation of Extended Prose.

Costa Pereira, D.J.V.; Maskill, R. – British Journal of Educational Psychology, 1983
Suggests a method for analyzing structure and process in prose using algorithms based on graph theory and rules based in syntax. Describes application of the method to essays written by 52 fourteen year old pupils on a newly learned topic in chemistry. (Author/GC)
Descriptors: Algorithms, Behavior, Evaluation Methods, Graphs

Lomax, Richard G. – Journal of Experimental Education, 1982
Observational data were collected over a period of 120 school days from 11 elementary-level, self-contained, learning disabilities classrooms (N=105), using the Student Level Observation of Beginning Reading system. Findings indicate that reliable and unbiased observations of student behavior were obtained through the use of a single observer.…
Descriptors: Classroom Observation Techniques, Elementary Education, Learning Disabilities, Mathematical Models

Tanaka, Jeffrey S. – Evaluation and Program Planning: An International Journal, 1982
Implications of model evaluation (using traditional chi square goodness of fit statistics, incremental fit indices for covariance structure models, and latent variable coefficients of determination) on substantive conclusions are illustrated with an example examining the effects of participation in a compensatory education program on posttreatment…
Descriptors: Cognitive Ability, Compensatory Education, Evaluation Criteria, Goodness of Fit