Item Response Theory: Some Standard Errors

Abstract

The mathematics required to calculate the asymptotic standard errors of the parameters of three commonly used logistic item response models is described and used to generate values for some common situations. It is shown that the maximum likelihood estimation of a lower asymptote reduces the accuracy of estimation of a location parameter. If one requires accurate estimates of location parameters (e.g., for purposes of test linking/equating or for computerized adaptive testing), the sample sizes required for acceptable accuracy may be so large as to make maximum likelihood estimation infeasible in most applications. It is suggested that other estimation methods be used if the three-parameter model is applied in these situations.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA129804

Entities

People

  • David Thissen
  • Howard Wainer

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Acquisition
  • Air Force
  • Computer Programs
  • Computers
  • Covariance
  • Data Science
  • Equations
  • Human Resources
  • Information Science
  • Manpower
  • Maximum Likelihood Estimation
  • New Jersey
  • Probability
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Statistical inference.