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Rogosa, David – Educational and Psychological Measurement, 1981
The form of the Johnson-Neyman region of significance is shown to be determined by the statistic for testing the null hypothesis that the population within-group regressions are parallel. Results are obtained for both simultaneous and nonsimultaneous regions of significance. (Author)
Descriptors: Hypothesis Testing, Mathematical Models, Predictor Variables, Regression (Statistics)
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Vegelius, Jan – Educational and Psychological Measurement, 1981
The G index is a measure of the similarity between individuals over dichotomous items. Some tests for the G-index are described. For each case an example is included. (Author/GK)
Descriptors: Hypothesis Testing, Mathematical Formulas, Mathematical Models, Nonparametric Statistics
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Keselman, H. J.; And Others – Educational and Psychological Measurement, 1981
This paper demonstrates that multiple comparison tests using a pooled error term are dependent on the circularity assumption and shows how to compute tests which are insensitive (robust) to this assumption. (Author/GK)
Descriptors: Hypothesis Testing, Mathematical Models, Research Design, Statistical Significance
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Hollingsworth, Holly H. – Educational and Psychological Measurement, 1981
If the null hypothesis of a one-sample test of multivariate means is rejected, the dimension of the line joining the population centroid and the hypothesized centroid can be interpreted with a linear function, using a discriminant function and the correlation of each dependent variable with a discriminant score. (Author/BW)
Descriptors: Discriminant Analysis, Hypothesis Testing, Mathematical Models, Statistical Analysis
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Wilcox, Rand R. – Journal of Educational Measurement, 1982
A new model for measuring misinformation is suggested. A modification of Wilcox's strong true-score model, to be used in certain situations, is indicated, since it solves the problem of correcting for guessing without assuming guessing is random. (Author/GK)
Descriptors: Achievement Tests, Guessing (Tests), Mathematical Models, Scoring Formulas
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Boik, Robert J. – Psychometrika, 1981
The validity conditions for univariate repeated measures designs are described. Attention is focused on the sphericity (equality of variance) requirement. It is recommended that separate rather than pooled error term procedures be routinely used to test a priori hypotheses. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Research Design
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Mellenbergh, Gideon J.; van der Linden, Wim J. – Psychometrika, 1981
A linear utility model is introduced for optimal selection where several subpopulations of applicants are to be distinguished. Using this model, procedures are described for obtaining optimal cutting scores in subpopulations in quota-free as well as quota-restricted selection situations. The procedures are demonstrated with empirical data.…
Descriptors: Culture Fair Tests, Cutting Scores, Mathematical Models, Selection
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Huynh, Huynh – Psychometrika, 1981
Procedures for the analysis of profiles of means in repeated measures designs under order restriction for patterns of mean change are described. Tables of critical values are provided for the case of simple-order alternatives. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Profiles
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Brennan, Robert L.; Prediger, Dale J. – Educational and Psychological Measurement, 1981
This paper considers some appropriate and inappropriate uses of coefficient kappa and alternative kappa-like statistics. Discussion is restricted to the descriptive characteristics of these statistics for measuring agreement with categorical data in studies of reliability and validity. (Author)
Descriptors: Classification, Error of Measurement, Mathematical Models, Test Reliability
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Katz, Barry M.; McSweeney, Maryellen – Educational and Psychological Measurement, 1980
Errors of misclassification associated with two concept acquisition criteria and their effects on the actual significance level and power of a statistical test for sequential development of these concepts are presented. Explicit illustrations of actual significance levels and power values are provided for different misclassification models.…
Descriptors: Concept Formation, Hypothesis Testing, Mathematical Models, Power (Statistics)
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De Leeuw, Jan; Pruzansky, Sandra – Psychometrika, 1978
A computational method for weighted euclidean distance scaling (a method of multidimensional scaling) which combines aspects of an "analytic" solution with an approach using loss functions is presented. (Author/JKS)
Descriptors: Computer Programs, Mathematical Formulas, Mathematical Models, Multidimensional Scaling
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Burton, Richard M.; Obel, Borge – Administrative Science Quarterly, 1980
The results substantiate Williamson's hypothesis that the M-form of organization is superior to the U-form of organization. For each of the two levels of decomposability of technology, the M-form yields higher profit solutions than the U-form. (Author/IRT)
Descriptors: Computers, Information Needs, Mathematical Models, Organization
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Morey, Richard C. – Journal of Education Finance, 1980
Presents a stochastic model and subsequent risk analysis that should enable an administrator to evaluate an incentive contract. A numerical illustration points out the types of issues that can be addressed by the model. (Author/IRT)
Descriptors: Contracts, Elementary Secondary Education, Incentives, Mathematical Models
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Yovits, M. C.; And Others – Journal of the American Society for Information Science, 1981
This first of two related reports by the same authors presents a generalized theory of the information flow process that establishes quantitative definitions for and relationships among quantity of information, value of information, effectiveness of information, decision-maker effectiveness, and decision-maker performance. Eighteen references are…
Descriptors: Bibliographies, Decision Making, Definitions, Information Theory
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Langeheine, Rolf – Studies in Educational Evaluation, 1980
Detailed reanalyses of data reported in Studies in Educational Evaluation: Monograph No. 1 by Y. Kashti and Monograph No. 5 by U. Kattmann, 1979, were performed using an explicitly structurally oriented approach via target analysis (PINDIS). Results contradict those reached by Kashti and Kattmann. (RL)
Descriptors: Comparative Analysis, Foreign Countries, Hypothesis Testing, Mathematical Models
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