Journal ArticleDOI
The minimum average correlation between equivalent sets of uncorrelated factors
TLDR
A simplified proof of a lemma by Ledermann [1938] which lies at the core of the factor indeterminacy issue is presented in this article, which leads to a representation of an orthogonal matrixT, relating equivalent factor solutions, which is used to evaluate bounds on the average correlation between equivalent sets of uncorrelated factors.Abstract:
A simplified proof of a lemma by Ledermann [1938], which lies at the core of the factor indeterminacy issue, is presented. It leads to a representation of an orthogonal matrixT, relating equivalent factor solutions, which is different from Ledermann's [1938] and Guttman's [1955].T is used to evaluate bounds on the average correlation between equivalent sets of uncorrelated factors. It is found that the minimum average correlation is independent of the data.read more
Citations
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Affects of variable and subject sampling on factor pattern recovery.
Wayne F. Velicer,Joseph L. Fava +1 more
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Component Analysis versus Common Factor Analysis: Some issues in Selecting an Appropriate Procedure.
TL;DR: This work discusses the key algebraic similarities and differences between principal component analysis and factor analysis, and analyzes a number of theoretical and practical issues.
Journal ArticleDOI
Computing and evaluating factor scores
TL;DR: A review of the history and nature of factor score indeterminacy can be found in this paper, where computer programs for assessing the degree of determinacy in a given analysis, as well as for computing and evaluating different types of factor scores, are presented and demonstrated using data from the Wechsler Intelligence Scale for Children-Third Edition.
Journal ArticleDOI
Rethinking Partial Least Squares Path Modeling: In Praise of Simple Methods
TL;DR: PLS path modeling can move forward by freeing itself entirely of its heritage as “something like but not quite factor analysis,” by fleshing out inferential tools appropriate for a purely composite method, and by developing approaches for assessing measurement validity that properly recognize the distinction between theoretical concept and empirical proxy.
Journal ArticleDOI
The reliability of peer review for manuscript and grant submissions: A cross-disciplinary investigation
TL;DR: The reliability of peer review of scientific documents and the evaluative criteria scientists use to judge the work of their peers are critically reexamined with special attention to the consistently low levels of reliability that have been reported.
References
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Book
Modern factor analysis
TL;DR: The third edition of HARMAN's authoritative text as mentioned in this paper incorporates the many new advances made in computer science and technology over the last ten years The author gives full coverage to both theoretical and applied aspects of factor analysis from its foundations through the most advanced techniques This highly readable text will be welcomed by researchers and students working in psychology, statistics, economics and related disciplines
Journal ArticleDOI
The approximation of one matrix by another of lower rank
Carl Eckart,Gale Young +1 more
TL;DR: In this paper, the problem of approximating one matrix by another of lower rank is formulated as a least-squares problem, and the normal equations cannot be immediately written down, since the elements of the approximate matrix are not independent of one another.