Simple Proofs of Relations Between the Communality Problem and Multiple Correlation  

Oleh:

Guttman, Louis

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 22 no. 2 (Jun. 1957), page 147-157.
Topik: The s-Law of Deviation; Multiple Regressions; Equalities and Inequalities for the s-law; Case of Common and Unique Components; Properties of the Anti-Images; Determinacy Problem of the Common and Unique Components; Compact Formulation of the s-Law
Fulltext: Vol 22 No. 2 June 1957 p.147-157.pdf (488.29KB)

Isi artikel

Solutions of the communality problem and of the problem ofmeaning of common and unique factors have been shown previously to depend intimately on certain relations with ordinary multiple correlation. To make these basic propositions more accessible, simple proofs of some of them are provided here, avoiding any matrix algebra. New results are also obtained, with no extra work, that extend the previously known propositions to a more general class of coefficients than that of communalities.

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