Estimation for the Rasch Model When Both Ability and Difficulty Parameters are Random.

Abstract

Estimation of the parameters of the Rasch model, a one parameters item response model, is considered when both the item parameters and the ability parameters are considered random quantities. It is assumed that the item parameters are drawn from a N(gamma tau to the 2nd power) distribution, and the abilities are drawn from a N(omicron, sigma to the 2nd power) distribution. A variation of the EM algorithm is used to find approximate maximum likelihood estimates of gamma, tack and sigma. A second approach assumes that the difficulty parameters are drawn from a uniform distribution over part of the real line. Real and simulated data sets are discussed for illustration. Keywords: Statistical data; Tables(Data).

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA179215

Entities

People

  • Robert K. Tsutakawa
  • Steven E. Rigdon

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Data Science
  • Educational Psychology
  • Illinois
  • Information Science
  • Knowledge Management
  • Military Research
  • Missouri
  • New England
  • Normal Distribution
  • Personnel Management
  • Psychology
  • South Carolina
  • Statistical Algorithms
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Psychometric Testing or Psychological Assessment.
  • Statistical inference.