A Noniterative Equating Coefficients Estimation in EM Cycles of the Continuous Response Model

• SHOJIMA Kojiro

  Research Division, The National Center for University Entrance Examinations

• OTSU Tatsuo

  Research Division, The National Center for University Entrance Examinations

Bibliographic Information

Other Title

• 連続反応モデルの等化係数のEMサイクル内非反復推定
• レンゾク ハンノウ モデル ノ トウ カ ケイスウ ノ EM サイクル ナイ ヒハンプク スイテイ

Abstract

In this study, we proposed an estimation method for equating coefficients of the continuous response model based on the common examinees design. This method applies the EM algorithm according to the Shojima (2003) method, but does not require numerical approximation in E-step or numerical iteration in M-step. We also presented a general framework for when data were missing at random and confirmed the unbiasedness of the proposed estimator using simulation studies. Finally, we illustrated an example of numerical analysis on a real data.

Journal

• Kodo Keiryogaku (The Japanese Journal of Behaviormetrics)

  Kodo Keiryogaku (The Japanese Journal of Behaviormetrics) 31 (2), 89-106, 2004

  The Behaviormetric Society

Keywords

• item response theory
• equating/linking
• common examinees design
• continuous response model
• EM algorithm

Details

• CRID: 1390282680156440704
• NII Article ID: 110003812953
• NII Book ID: AN0008437X
• DOI: 10.2333/jbhmk.31.89
• ISSN: 18804705
• ISSN: 03855481
• NDL BIB ID: 7183091
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7183091
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed