Item parameter estimation when a test contains different item response models

Kojiro Shojima, Hideki Toyoda

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In Japan, tests typically consist of true-false questions. testlets, and essay questions. A dichotomous response model is most suitable for true-false questions ; a graded response model (GRM) or a generalized partial credit model (GPCM), for testlets; and a continuous response model (CRM). for essay questions. When tests contain more than one type of question, these differences make it necessary to use the applicable item response model in order to estimate item parameters. In the present research, we propose an estimation method for such tests, and use actual data to show how it is a applied. The discussion describes practical applications of this method.

Original languageEnglish
Pages (from-to)61-70
Number of pages10
JournalJapanese Journal of Educational Psychology
Issue number1
Publication statusPublished - 2004 Mar


  • 3-parameter logistic model
  • Continuous response model
  • EM algorithm
  • Graded response model
  • Item response theory

ASJC Scopus subject areas

  • Education
  • Developmental and Educational Psychology


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