Statistical inference of minimum rank factor analysis
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DOI: 10.1007/BF02294710
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- Louis Guttman, 1958. "To what extent can communalities reduce rank?," Psychometrika, Springer;The Psychometric Society, vol. 23(4), pages 297-308, December.
- P. Bentler & J. Woodward, 1980. "Inequalities among lower bounds to reliability: With applications to test construction and factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 249-267, June.
- Alexander Shapiro, 1982. "Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 187-199, June.
- Harry Harman & Wayne Jones, 1966. "Factor analysis by minimizing residuals (minres)," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 351-368, September.
- K. Jöreskog, 1967. "Some contributions to maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 32(4), pages 443-482, December.
- Alexander Shapiro & Jos Berge, 2000. "The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 413-425, September.
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Keywords
factor analysis; communalities; proper solutions; explained common variance; semidefinite programming; large samples asymptotics; asymptotic normality; asymptotic bias;All these keywords.
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