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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