Equating Methods for Multidimensional IRT Item Paramters

• Project/Area Number: 25380871
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Educational psychology
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: Mayekawa Shin-ichi 東京工業大学, リベラルアーツ研究教育院, 教授 (70190288)
• Co-Investigator(Kenkyū-buntansha): 荒井 清佳 独立行政法人大学入試センター, 研究開発部, 助教 (00561036) ; 岡田 謙介 専修大学, 人間科学部, 准教授 (20583793)
• Research Collaborator: Oki Yoshinori
• Project Period (FY): 2013-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 項目反応理論 / 多次元項目反応理論 / 等化 / プロクラステス回転 / 補償型 / 非補償型 / 多次元項目反モデル / 回転の不定性

Outline of Final Research Achievements

Three equating method for multidimensional item response theory item parameters were developed and evaluated using real data set.
1) Simultaneous equating method for independently estimated item parameters using generalized Procrustes rotation method. 2) Equating method based on the ability parameters which keeps the original factor correlation unchanged. 3) Equating method based on both the ability and item parameters which keeps the original factor correlation unchanged.
As an spin-off product of this research, general factor rotation method which keeps the original factor correlation unchanged.

Research Products

• [Journal Article] 多次元項目反応モデルにおける共通項目と共通受検者の両 方を同時に考慮した等化法の提案. (2017)
  • Author(s): 沖嘉訓・前川眞一
  • Journal Title: 行動計量学 Volume: 44 Pages: 1-12
  • NAID: 130006235514
• [Journal Article] 多次元項目反応モデルにおけるプロクラステス回転を応用した共通受検者による等化法の比較 (2015)
  • Author(s): 沖嘉訓・前川眞一
  • Journal Title: 行動計量学 Volume: 42 Pages: 117-128
  • NAID: 130005161530
  • Peer Reviewed / Open Access
• [Presentation] Equating multidimensional IRT parameters when both common items and common persons are available. (2016)
  • Author(s): Yoshinori Oki & Shin-ichi Mayekawa.
  • Organizer: COMPSTAT 2016
  • Place of Presentation: Obiedo, Spain
  • Year and Date: 2016-08-25
  • Int'l Joint Research
• [Presentation] Bayesian estimation in hybrid multidimensional item response model (2015)
  • Author(s): Kensuke Okada
  • Organizer: International Meeting of the Psychometric Society (IMPS)
  • Place of Presentation: Beijing, China
  • Year and Date: 2015-07-15
  • Int'l Joint Research
• [Presentation] 多次元項目反応モデルによるテストデータの分析 (2014)
  • Author(s): 沖 嘉訓・前川眞一
  • Organizer: 日本テスト学会
  • Place of Presentation: 帝京大学
  • Year and Date: 2014-08-30 – 2014-08-31
• [Presentation] 補償型・非補償型を包含する多次元項目反応理論モデル (2014)
  • Author(s): 岡田謙介・前川眞一
  • Organizer: 日本テスト学会
  • Place of Presentation: 帝京大学
  • Year and Date: 2014-08-30 – 2014-08-31
• [Presentation] Noncompensatory multiple logistic regression model and its application (2014)
  • Author(s): Kensuke Okada & Shin-ichi Mayekawa
  • Organizer: COMPSTAT 2014
  • Place of Presentation: Geneve, Swiss
  • Year and Date: 2014-08-19 – 2014-08-22
• [Presentation] The Hybrid Multidimensional Item Response Model (2014)
  • Author(s): Kensuke Okada & Shin-ichi Mayekawa
  • Organizer: IMPS 2014
  • Place of Presentation: Madison, WI
  • Year and Date: 2014-07-21 – 2014-07-25
• [Presentation] 多次元項目反応理論 (2013)
  • Author(s): 前川眞一
  • Organizer: 日本テスト学会
  • Place of Presentation: 九州大学
• [Presentation] 多次元項目反応理論における共通受検者の能力特性値による等化について (2013)
  • Author(s): 沖嘉訓・前川眞一
  • Organizer: 日本テスト学会
  • Place of Presentation: 九州大学
• [Remarks] R パッケージ
  • URL: http://mayekawa.in.coocan.jp/Rpackages.html