被験者母数を用いた構造方程式モデリング―ＩＲＴにおいて項目母数が推定されている場合の分析―

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タイトル別名
  • Structural equation modeling using ability parameters: Analysis in the situation where item parameters have been estimated by item response theory
  • ヒケンシャ ボスウ オ モチイタ コウゾウ ホウテイシキ モデリング IRT ニ オイテ コウモク ボスウ ガ スイテイ サレテ イル バアイ ノ ブンセキ
  • Analysis in the situation where item parameters have been estimated by item response theory
  • IRTにおいて項目母数が推定されている場合の分析

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説明

One of the problems with structural equation modeling (SEM) is that the estimation of measurement equation is not separated from the estimation of structural equation. The main aim of this study was to propose a new method to overcome that problem by using ability parameters estimated by item response theory (IRT) as data. According to IRT, the error variance of measurement equation can be easily computed as the reciprocal of the information function. By using the estimates of the error variance, we can fix all parameters in measurement equation and can separate the estimation of structural equation from that of measurement equation. This method also allows us to estimate relations among factor scores with improved precision, because the errors of estimating factor scores are taken into account. The article concludes with a simulation result for verifying the efficacy of this method and an actual numerical.

収録刊行物

  • 心理学研究

    心理学研究 75 (5), 381-388, 2004

    公益社団法人 日本心理学会

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