Note on Factor Analysis  

Oleh:

Wilson, Edwin B. ; Worcester, Jane

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 4 no. 2 (Jun. 1939), page 133-148.
Topik: Factor Analysis; Hotelling analysis; Correlation Coefficients; Hypothetical Factor Analyses
Fulltext: Note on Factor Analysis.pdf (837.16KB)

Isi artikel

Certain assumptions and procedures basic to factor analysis are examined from the point of view of the mathematician. It is demonstrated that the Hotelling method does not yield meaningful traits, and an example from the theory of gas mixtures with convertible components is cited as evidence. The justification of current methods for determining the adequacy of the reproduction of a correlation matrix by a factorial matrix is questioned, and ax 2 criterion, practical only for a small matrix, is proposed. By means of a hypothetical example from geometry, it is shown that results of a Hotelling analysis are necessarily relative to the population at hand. The factorial effects of the adjunction of a “total test” to a group of tests are considered. Some of the general considerations and questions raised are pertinent to types of analysis other than the Hotelling.

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