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Tritchler, D. L.; Pedrini, D. T. – Educational and Psychological Measurement, 1975
Considered in this paper are a mathematical discussion and an algorithm, and a computer program for Fisher's test. (Author)
Descriptors: Algorithms, Computer Programs, Hypothesis Testing, Input Output
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McClelland, Gary; Coombs, Clyde H. – Psychometrika, 1975
ORDMET is applicable to structures obtained from additive conjoint measurement designs, unfolding theory, general Fechnerian scaling, types of multidimensional scaling, and ordinal multiple regression. A description is obtained of the space containing all possible numerical representations which can satisfy the structure, size, and shape of which…
Descriptors: Algorithms, Computer Programs, Data Analysis, Matrices
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Kearns, Jack; Meredith, William – Psychometrika, 1975
Examines the question of how large a sample must be in order to produce empirical Bayes estimates which are preferable to other commonly used estimates, such as proportion correct observed score. (Author/RC)
Descriptors: Bayesian Statistics, Item Analysis, Probability, Sampling
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McNeil, Keith – Journal of Experimental Education, 1974
Multiple linear regression has been shown to be applicable for analysis of variance hypotheses, for scaling purposes, and for analysis of single organism data. The present paper shows the application to chi square. (Author)
Descriptors: Educational Research, Multiple Regression Analysis, Probability, Statistical Data
Ahsanullah, M. – 1989
The record values of the Pareto distribution, labelled Pareto (II) (alpha, beta, nu), are reviewed. The best linear unbiased estimates of the parameters in terms of the record values are provided. The prediction of the sth record value based on the first m (s>m) record values are obtained. A classical Pareto distribution provides reasonably…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Income, Probability
Ellett, Frederick S., Jr.; Ericson, David P. – 1983
Several steps are taken to develop methods for analyzing systems that involve probabilistic causation. The basic ideas and distinctions are illustrated for systems with dichotomous variables. It is shown that these basic ideas have analogous counterparts in causal systems with continuous variables. By using a generalized conditional probability…
Descriptors: Correlation, Mathematical Models, Measurement Techniques, Path Analysis
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Bookstein, Abraham; Swanson, Don R. – Journal of the American Society for Information Science, 1974
Descriptors: Automatic Indexing, Cluster Grouping, Indexes, Information Retrieval
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Kerslake, Daphne – Mathematics in School, 1974
Descriptors: Elementary School Mathematics, Instruction, Mathematical Concepts, Mathematics Education
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Lienert, G. A.; Krauth, J. – Educational and Psychological Measurement, 1975
Configural frequency analysis (CFA), a new method for identifying types, is illustrated numerically. Relations to latent class analysis and to factor analysis are discussed. It is suggested to use CFA as a type-defining method instead of factor analysis if the variables are linked not only by first but also by higher-order associations. (RC)
Descriptors: Classification, Factor Analysis, Hypothesis Testing, Mathematical Models
Powers, James E. – 1981
The use of Bayesian methodology to assign grades in classroom situations is presented. Assigning a grade is viewed from a criterion, as opposed to norm, referenced perspective. Criteria include mastery of some proportion, determined by the teacher, of the subject matter covered in a course. Different levels of mastery are deemed possible and,…
Descriptors: Academic Achievement, Bayesian Statistics, Grading, Mathematical Formulas
Bowers, Wayne A. – 1965
This monograph was written for the Conference of the New Instructional Materials in Physics, held at the University of Washington in summer, 1965. It is intended for students who have had an introductory college physics course. It seeks to provide an introduction to the idea of distributions in general, and to some aspects of the subject in…
Descriptors: College Science, Instructional Materials, Measurement, Physics
Dovgyallo, A. M. – 1967
A study was made on the synthesis of teaching machine elements to ensure the stabilization of the chi indicator of the teaching process of each student. At first, a procedure was developed for calculating the chi indicator for the case when the teaching machine predicts the magnitude of this indicator based on probabilities derived from an…
Descriptors: Automation, Performance Criteria, Predictive Measurement, Probability
Shuford, Emir H., Jr. – 1974
A dicussion is provided of some statistical measures and graphical information that, when used as feedback to the student, facilitates his ability to assess his own uncertainty. These measures and graphs, which result from the application of least squares analysis and information theory to decision-theoretic testing, provide the student with the…
Descriptors: Computer Programs, Confidence Testing, Feedback, Prediction
Lord, Frederic M. – 1973
Omitted items cannot properly be treated as wrong when estimating ability and item parameters. A convenient method for utilizing the information provided by omissions is presented. Some theoretical and considerable empirical justification is adduced for the estimates obtained by both old and new methods. (Author)
Descriptors: Mathematical Models, Probability, Psychometrics, Research Reports
Cotton, John W. – 1970
The behavior of focus samples central to the multiple-look model of Trabasso and Bower is examined by three methods. First, exact probabilities of success conditional upon a certain brief history of stimulation are determined. Second, possible states of the organism during the experiment are defined and a transition matrix for those states…
Descriptors: Mathematical Applications, Mathematical Models, Mathematics, Prediction
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