Empirical Bayes Point Estimates of Latent Trait Scores without Knowledge of the Trait Distribution

1 December 1973

journal article
Published by Cambridge University Press (CUP) in Psychometrika

Vol. 38 (4) , 533-554
https://doi.org/10.1007/bf02291493

Abstract

In this paper, recent developments in empirical Bayes procedures are tied in with current work in mental test theory. Point estimators of “true scores” are derived for the binomial and Rasch test models. These estimators are shown to be asymptotically optimal. Smoothing and an empirical study of the behavior of empirical Bayes estimates are taken up in the final section.

Keywords

This publication has 11 references indexed in Scilit:

METHODS FOR EVALUATING EMPIRICAL BAYES POINT ESTIMATES OF LATENT TRAIT SCORES12
ETS Research Bulletin Series, 1974
POISSON DISTRIBUTIONS OF ERROR IN MENTAL TEST THEORY
British Journal of Mathematical and Statistical Psychology, 1971
ESTIMATING TRUE‐SCORE DISTRIBUTIONS IN PSYCHOLOGICAL TESTING (AN EMPIRICAL BAYES ESTIMATION PROBLEM)*
ETS Research Bulletin Series, 1967
AN ITEM ANALYSIS WHICH TAKES INDIVIDUAL DIFFERENCES INTO ACCOUNT
British Journal of Mathematical and Statistical Psychology, 1966
Some Results Based on a General Stochastic Model for Mental Tests
Psychometrika, 1965
A Strong True-Score Theory, with Applications
Psychometrika, 1965
The Empirical Bayes Approach to Statistical Decision Problems
The Annals of Mathematical Statistics, 1964
A Theoretical Distribution for Mental Test Scores
Psychometrika, 1962
Two Breakthroughs in the Theory of Statistical Decision Making
Revue de l'Institut International de Statistique / Review of the International Statistical Institute, 1962
An Approach to Mental Test Theory
Psychometrika, 1959