Notes and Commentary: Regression Equations for the Latent Roots of Random Data Correlation Matrices with Unities on the Diagonal
- 1 July 1986
- journal article
- Published by Taylor & Francis in Multivariate Behavioral Research
- Vol. 21 (3) , 393-396
- https://doi.org/10.1207/s15327906mbr2103_7
Abstract
In order to make parallel analysis more accessible to researchers employing principal component techniques, regression equations are presented for the logarithms of the latent roots of random data correlation matrices with unities on the diagonal. These regression equations have as independent variables logarithms of: the single variable degrees of freedom; Bartlett-Lawley degrees of freedom; the next lowest ordered eigenvalue. The multiple correlation coefficients are at least 0.96 in all cases.Keywords
This publication has 7 references indexed in Scilit:
- Distortions In A Commonly Used Factor Analytic ProcedureMultivariate Behavioral Research, 1979
- An Investigation of the Parallel Analysis Criterion for Determining the Number of Common FactorsMultivariate Behavioral Research, 1975
- A NOTE ON HORN'S TEST FOR THE NUMBER OF FACTORS IN FACTOR ANALYSISMultivariate Behavioral Research, 1973
- A rationale and test for the number of factors in factor analysisPsychometrika, 1965
- TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICESBiometrika, 1956
- A FURTHER NOTE ON TESTS OF SIGNIFICANCE IN FACTOR ANALYSISBritish Journal of Statistical Psychology, 1951
- TESTS OF SIGNIFICANCE IN FACTOR ANALYSISBritish Journal of Statistical Psychology, 1950