The orthogonally and the obliquely transformed component analysis in sociometric data

TOMOYASU NAKAMURA; SHIGEO KASHIWAGI; HARUO YANAI

doi:10.4992/psycholres1954.30.78

直交ならびに斜交変換成分分析法によるソシオメトリックデータ解析

中村知靖, 柏木繁男, 柳井晴夫

著者情報

ジャーナルフリー

1988 年 30 巻 2 号 p. 78-87

DOI https://doi.org/10.4992/psycholres1954.30.78

詳細

発行日: 1988/06/25 受付日: 1987/02/20 J-STAGE公開日: 2009/02/24 受理日: 1987/11/14 早期公開日: - 改訂日: -
訂正情報
訂正日: 2009/02/24 訂正理由: - 訂正箇所: 所属機関情報訂正内容: Wrong :
1) Division of Educational Information Science, Department of Educational Psychology, Faculty of Education, University of Tokyo
2) Division of Psychology, Department of Behavioral Science, Faculty of Letters, Chiba University
3) Scholastic Aptitude Section, Research Division, The National Center, for University Entrance Examination

Right :
1) Division of Educational Information Science, Department of Educational Psychology, Faculty of Education, University of Tokyo
2) Division of Psychology, Department of Behavioral Science, Faculty of Letters, Chiba University
3) Scholastic Aptitude Section, Research Division, The National Center for University Entrance Examination

訂正日: 2009/02/24 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : Chino, N. 1984 A critical review on the approach to the analysis of group structure. Bulletin of the Faculty of Humanities of Aichigakuin University, 14, 8-21.
Green, B. F. 1952 The orthogonal approximation of an oblique structure in factor analysis. Psychometrika, 17, 429-440.
Kashiwagi, S. 1972 The joined group by mutual choice and decomposition of all its components. Proceedings of 14th Annual Convention of The Japanese Association of Educational Psychology, 172-173. (In Japanese)
Kashiwagi, S. 1974 Primary principal in 0-1 type data processing. In H. Azuma (Ed.), Methods of psychological research. No. 15. Data analysis 2. University of Tokyo Press. Pp. 199-202. (In Japanese)
Mulaik, S. A. 1972 The foundations of factor analysis. New York: McGraw-Hill.
Schönemann, P. H. 1966 A generalized solution of the orthogonal procrustes problem. Psychometrika, 31, 1-10.

Right : Chino, N. 1984 A critical review on the approachto the analysis of group structure. Bulletinof the Faculty of Humanities of Aichigakuin University, 14, 8-21.
Green, B. F. 1952 The orthogonal approximationof an oblique structure in factor analysis. Psychometrika, 17, 429-440.
Kashiwagi, S. 1972 The joined group by mutualchoice and decomposition of all its components. Proceedings of 14th Annual Convention of The Japanese Association of Educational Psychology, 172-173.(In Japanese)
Kashiwagi, S. 1974 Primary principal in 0-1type data processing. In H. Azuma (Ed.), Methods of psychological research No.15. Dataanalysis 2. University of Tokyo Press. Pp.199-202.(In Japanese)
Mulaik, S. A. 1972 The foundations of factor analysis. New York: McGraw-Hill.
Schönemann, P. H. 1966 A generalized solutionof the orthogonal procrustes problem. Psychometrika, 31, 1-10.

訂正日: 2009/02/24 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

訂正日: 2009/02/24 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : Chino, N. 1984 A critical review on the approachto the analysis of group structure. Bulletinof the Faculty of Humanities of Aichigakuin University, 14, 8-21.
Green, B. F. 1952 The orthogonal approximationof an oblique structure in factor analysis. Psychometrika, 17, 429-440.
Kashiwagi, S. 1972 The joined group by mutualchoice and decomposition of all its components. Proceedings of 14th Annual Convention of The Japanese Association of Educational Psychology, 172-173.(In Japanese)
Kashiwagi, S. 1974 Primary principal in 0-1type data processing. In H. Azuma (Ed.), Methods of psychological research No.15. Dataanalysis 2. University of Tokyo Press. Pp.199-202.(In Japanese)
Mulaik, S. A. 1972 The foundations of factor analysis. New York: McGraw-Hill.
Schönemann, P. H. 1966 A generalized solutionof the orthogonal procrustes problem. Psychometrika, 31, 1-10.

Right : Chino, N. 1984 A critical review on the approach to the analysis of group structure. Bulletin of the Faculty of Humanities of Aichigakuin University, 14, 8-21.
Green, B. F. 1952 The orthogonal approximation of an oblique structure in factor analysis. Psychometrika, 17, 429-440.
Kashiwagi, S. 1972 The joined group by mutual choice and decomposition of all its components. Proceedings of 14th Annual Convention of The Japanese Association of Educational Psychology, 172-173.(In Japanese)
Kashiwagi, S. 1974 Primary principal in 0-1 type data processing. In H. Azuma (Ed.), Methods of psychological research No.15. Data analysis 2. University of Tokyo Press. Pp.199-202.(In Japanese)
Mulaik, S. A. 1972 The foundations of factor analysis. New York: McGraw-Hill.
Schönemann, P. H. 1966 A generalized solution of the orthogonal procrustes problem. Psychometrika, 31, 1-10.

抄録

This article presents a new matrix method of analysis of sociometric data, which is more reliable and more efficient than the conventional methods in obtaining full informations relevant to the subgroup structure underlying the sociometric data. The method extracts the orthogonally and the obliquely transformed components, using the procrustean factor rotation in multiple factor analysis. First, a hypothetical target matrix is constructed by principal component analysis of the mutual choice data matrix, and then to approximate the target matrix the orthogonally and obliquely transformed components are obtained based on the choice and received choice data matrices. A tentative application to the results of a sociometric test given to junior high school students suggests that the method is adequate for extracting full informations from both types of sociometric data matrices, and for revealing the salient subgroups hidden in the matrices.

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