BRIEF REPORT: BARTLETT'S TEST OF SPHERICITY AND CHANCE FINDINGS IN FACTOR ANALYSIS

1969/07/01 by Sigmund Tobias, James E. Carlson · 450 citations
Agricultural and Biological Sciences · Mathematics · Psychology · #Chi-square test #Chromatography #Computer science #Correlation #Demography #Factor (programming language) #Geometry #Mathematics #Matrix (chemical analysis) #Population #Psychology #Sensory Analysis and Statistical Methods #Sphericity #Square (algebra) #Statistics #Test (biology)

paper · doi:10.1207/s15327906mbr0403_8

published in Multivariate Behavioral Research 4(3), 375-377 (Taylor & Francis)

openalex publication_date 1969/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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. These results re- emphasize the desirability of computing this test prior to proceeding t o factor extraction, and in accord with the findings of other writers, indicate this test to be sensitive in detecting results which can be ascribed to chance.

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