ESTIMATING TRUE-SCORE DISTRIBUTIONS IN PSYCHOLOGICAL TESTING (AN EMPIRICAL BAYES ESTIMATION PROBLEM)

Abstract

The following problem is considered: Given that the frequency distribution of the errors of measurement is known, determine or estimate the distribution of true scores from the distribution of observed scores for a group of examinees. Typically this problem does not have a unique solution. However, if the true-score distribution is 'smooth,' then any two smooth solutions to the problem will differ little from each other. Methods for finding smooth solutions are developed (a) for a population and (b) for a sample of examinees. The results of a number of tryouts on actual test data are summarized.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0661808

Entities

People

  • Frederic M. Lord

Organizations

  • Educational Testing Service

Tags

DTIC Thesaurus Topics

  • Binomials
  • Calculus Of Variations
  • Combinatorial Analysis
  • Computer Programs
  • Data Science
  • Equations
  • Information Science
  • Integral Equations
  • Mathematical Models
  • Military Research
  • New Jersey
  • New York
  • Probability
  • Probability Distributions
  • Sampling
  • Statistical Inference
  • United States

Fields of Study

  • Mathematics

Readers

  • Psychometric Testing or Psychological Assessment.
  • Statistical inference.