A Regression Model for Questionnaires: When a Regressor is the Within-Subject Variance

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  • HOSHINO TAKAHIRO
    GRADUATE SCHOOL OF ARTS AND SCIENCES, UNIVERSITY OF TOKYO, AND THE JAPAN SOCIETY FOR THE PROMOTION OF SCIENCE

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  • 尺度の個人内分散を用いた回帰モデルの提案
  • シャクド ノ コジン ナイ ブンサン オ モチイタ カイキ モデル ノ テイアン

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Abstract

Educational psychology research often deals with psychological constructs that cannot be directly measured. Reseachers usually evaluate the value of the construct for each person by a factor score or in terms of mean scores on a questionnaire that is thought to measure the construct. Although it is often the case that not only each person's mean score but also the intra-person variability will have important information, no method has been developed for utilizing within-subject variance. In the present research, by introducing random effects for each person into a weakly congeneric measurement model in classical test theory, we developed a model in which not only the mean but also the within-subject variance are regressors for other variables or scales. The proposed method is also applicable to repeated measurement. A simulation study demonstrated the validity of the estimation method of the proposed model. We also showed that within-subject variance on emotionality (in the Five-Factor Model) can be one of the regressors of STAI.

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