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Novick, Melvin R.; Lindley, Dennis V. – Journal of Educational Measurement, 1978
The use of some very simple loss or utility functions in educational evaluation has recently been advocated by Gross and Su, Petersen and Novick, and Petersen. This paper demonstrates that more realistic utility functions can easily be used and may be preferable in some applications. (Author/CTM)
Descriptors: Bayesian Statistics, Cost Effectiveness, Mathematical Models, Statistical Analysis
Leonard, Tom; Novick, Melvin R. – 1985
This proposal attempts to follow in Allan Birnbaum's tradition by using Bayesian ideas to show that his mental test model possesses even broader applicability than previously realized. Birnbaum's two significant contributions to the theories of statistics and educational testing are: (1) the proof that the sufficiency and conditionality principles…
Descriptors: Bayesian Statistics, Cognitive Measurement, Estimation (Mathematics), Latent Trait Theory
Jones, Paul K.; Novick, Melvin R. – 1972
A summary of the technical problems encountered in performing Bayesian m group regression is given. Grade-point averages for students entering a vocational-technical program are predicted using ability assessments from the Career Planning Profile (CPP), a development of The American College Testing Program (ACT). The theory derived by Lindley (see…
Descriptors: Academic Ability, Bayesian Statistics, Grade Point Average, Mathematical Models
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Novick, Melvin R.; And Others – Psychometrika, 1973
This paper develops theory and methods for the application of the Bayesian Model II method to the estimation of binomial proportions and demonstrates its application to educational data. (Author/RK)
Descriptors: Bayesian Statistics, Educational Testing, Mathematical Models, Measurement
Leonard, Tom; Novick, Melvin R. – Journal of Education Statistics, 1986
A general approach is proposed for modeling the structure of a r x s contingency table and for drawing marginal inferences about all parameters (e.g., interaction effects) in the model. The main approach is relevant whenever rs minus r minus s plus 1 is greater than or equal to 5. Military aptitude test data is used as illustration. (Author/LMO)
Descriptors: Aptitude Tests, Bayesian Statistics, Goodness of Fit, Interaction
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Novick, Melvin R.; And Others – Psychometrika, 1971
Descriptors: Analysis of Variance, Bayesian Statistics, Error of Measurement, Mathematical Models
Leonard, Tom; Novick, Melvin R. – 1985
A general approach is proposed for modeling the structure of a two-way contingency table, and for drawing inferences about the marginal and interaction effects, cell parameters, and conditional probabilities. The prior distribution expresses uncertainty in a simple reduced model, in particular the independence model. The posterior estimates of the…
Descriptors: Bayesian Statistics, Clerical Occupations, Enlisted Personnel, Estimation (Mathematics)