Journal ArticleDOI
Statistical methods in factor analysis.
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This article is published in Psychological Bulletin.The article was published on 1959-05-01. It has received 31 citations till now.read more
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When is a correlation matrix appropriate for factor analysis? Some decision rules.
Journal ArticleDOI
Brief report: bartlett's test of sphericity and chance findings in factor analysis.
Sigmund Tobias,James E. Carlson +1 more
TL;DR: Bartlett's test of sphericitg: was applied to a correlation matrix computed on random normal deviates by Armstrong and Soelberg (1968), and returned a chi square value indicating that the matrix could have been generated from a population where the correlation coefficients are zero.
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Applications of standard error estimates in unrestricted factor analysis: Significance tests for factor loadings and correlations.
Robert Cudeck,Lisa L. O'Dell +1 more
TL;DR: Estimates of standard errors of factor loadings and factor correlations in the unrestricted factor analysis model can be computed for oblique or orthogonal solutions under maximum likelihood, and a Bonferroni correction for the critical point of the individual test statistics is recommended to control the probability of a Type I error.
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A Guide to the Proper Use of Factor Analysis in the Conduct and Reporting of Research: Pitfalls to Avoid
TL;DR: In this article, the authors present suggestions for proper procedures to use and pitfalls to avoid in using factor analysis methods for the analysis of manuscripts on studies using Factor Analysis Methods (FA).
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Cattell's Scree Test In Relation To Bartlett's Chi-Square Test And Other Observations On The Number Of Factors Problem
John L. Horn,Robert Engstrom +1 more
TL;DR: It is demonstrated that Cattell's scree test and Bartlett's chi-square test for the number of factors are both based on the same rationale, so the former reflects statistical (subject sampling) variability and the latter usually involves psychometric (variable sampling) influences.
References
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Journal ArticleDOI
LIII. On lines and planes of closest fit to systems of points in space
TL;DR: This paper is concerned with the construction of planes of closest fit to systems of points in space and the relationships between these planes and the planes themselves.
Statistical Inference in Factor Analysis
T. W. Anderson,Herman Rubin +1 more
TL;DR: This paper discusses some methods of factor analysis and considers some mathematical problems of the model, such as whether certain kinds of observed data determine the model uniquely, and treats the statistical problems of estimation and tests of certain hypotheses.