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A Bayesian Estimate of True Score That Incorporates Prior Information NICHD

Author(s):
Lindley, D. V.
Publication Year:
1969
Report Number:
RB-69-75
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
10
Subject/Key Words:
National Institute for Child Health and Human Development (NICHD), Bayesian Statistics, Error of Measurement, Mathematical Formulas, Probability, Scores, Statistical Analysis

Abstract

A Bayesian estimate of true score is derived for the case of unequal numbers of replications. The estimate is a posterior mode based on a conjugate prior distribution. Some numerical difficulties encountered with previous estimates are avoided with the new procedure. Some work on the estimation of true-score variance, error-score variance and reliability is also included.

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