Using Stein's Estimator to Predict Universe Scores from Obtained Scores

Abstract

The purpose of this paper is to introduce and apply a recently developed statistical method for estimating true (population) scores from observed (sample) scores. Provided that at least three scores are available, this method overall will give more accurate true score estimates than the individual maximum likelihood estimates (MLE), regardless of the true abilities of the examinees (Efron and Morris, 1977). The method can be used without knowledge of the (Bayesian) prior distribution, and normality of the true scores being estimated need not be assumed. The theoretical and practical implications of the method extend beyond psychological measurement to the very foundations of statistical inference and have caused some tumult in that discipline during the past decade.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA077967

Entities

People

  • Frederick H. Steinheiser Jr.
  • Stephen L. Hirshfeld

Organizations

  • U.S. Army Research Institute for the Behavioral and Social Sciences

Tags

DTIC Thesaurus Topics

  • Binomials
  • Computations
  • Data Science
  • Efficiency
  • Estimators
  • Information Science
  • Maximum Likelihood Estimation
  • Military Research
  • New York
  • Normal Distribution
  • Social Sciences
  • Standards
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Translations

Fields of Study

  • Education

Readers

  • Educational Psychology
  • Psychometric Testing or Psychological Assessment.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference