Marginal Distributions for the Estimation of Proportions in m Groups
- 1 March 1975
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 40 (1) , 63-75
- https://doi.org/10.1007/bf02291480
Abstract
A Bayesian Model II approach to the estimation of proportions in m groups (discussed by Novick, Lewis, and Jackson) is extended to obtain posterior marginal distributions for the proportions. It is anticipated that these will be useful in applications (such as Individually Prescribed Instruction) where decisions are to be made separately for each proportion, rather than jointly for the set of proportions. In addition, the approach is extended to allow greater use of prior information than previously and the specification of this prior information is discussed.Keywords
This publication has 11 references indexed in Scilit:
- Comment on ‘The Estimation of Proportions in M Groups’Psychometrika, 1974
- TOWARD AN INTEGRATION OF THEORY AND METHOD FOR CRITERION‐REFERENCED TESTS1,2Journal of Educational Measurement, 1973
- The Estimation of Proportions in m GroupsPsychometrika, 1973
- Bayesian methods for binomial dataBiometrika, 1972
- Bayesian Guidance TechnologyReview of Educational Research, 1970
- Bayesian Estimation of Means for the Random Effect ModelJournal of the American Statistical Association, 1968
- Inference about Variance Components in the One-Way ModelJournal of the American Statistical Association, 1965
- Bayesian analysis of random-effect models in the analysis of variance. I. Posterior distribution of variance-componentsBiometrika, 1965
- Symmetric measures on Cartesian productsTransactions of the American Mathematical Society, 1955
- Transformations Related to the Angular and the Square RootThe Annals of Mathematical Statistics, 1950