Computational algorithms for the factor model

References

• Anderson , T. W. 1969 . “ Statistical inference for covariance matrices with lineaer structure ” . In In Multivariate Analysis II , Edited by: Krishnaiah , P. R. New York : Academic Press .
   Google Scholar
• Anderson , T. W. 1973 . Asymptotically efficient estimation of covariance matrices with linear structure . The Annals of Statistics , 1 : 135 – 141 .
   Web of Science ®Google Scholar
• Browne , M. W. 1974 . Generalized least squares estimators in the analysis of covariance structures . South African Statistical Journal , 8 : 1 – 24 .
   Web of Science ®Google Scholar
• Browne , M.W. 1984 . Asymptotically distribution-free methods for the analysis of covariance structures . British Journal of Mathematical and Statistical Psychology , 37 : 62 – 83 .
   PubMed Web of Science ®Google Scholar
• Dahm , P. F. 1979 . “ Estimation of the parameters of the multivariate linear errors in variables model ” . In Unpublished Ph.D. thesis , Ames, Iowa : Iowa State University .
   Google Scholar
• Dahm , P.F. and Fuller . 1985 . “ Generalized least squares estimation of the functional multivariate linear errors-in-variables model ” . In Journal of Multivariate Analysis
   Google Scholar
• Fletcher , R. and Powell , M. J. D. 1963 . A rapidly convergent descent method for minimization . Computer Journal , 6 : 163 – 168 .
   Web of Science ®Google Scholar
• Fuller , W. A. , Amemiya , Y. and Pantula , S. G. 1985 . “ The covariance matrix for estimators of the factor model ” . In Journal of Multivariate Analysis
   Google Scholar
• Hagglund , G. 1982 . Factor analysis by instrumental variables methods . Psychometrika , 47 : 209 – 222 .
   Web of Science ®Google Scholar
• Hemmerle , W. J. 1965 . Obtaining maximum likelihood estimates of factor loadings and communalities using an easily implemented iterative compute procedure . Psychometrika , 30 : 291 – 302 .
   PubMed Web of Science ®Google Scholar
• Henderson , H. V. and Searle , S. R. 1979 . Vec and Vech operators for matrices, with some uses in Jacobian and multivariate statistics . Canadian Journal of Statistics , 7 : 65 – 81 .
   Google Scholar
• Jennrich , R. L. and Robinson , S. M. 1969 . A Newton-Raphson algorithm for maximum likelihood factor analysis . Psychometrika , 34 : 111 – 123 .
   Web of Science ®Google Scholar
• Joreskog , K. G. 1967 . Some contributions to maximum likelihood factor analysis . Psychometrika , 32 : 443 – 482 .
   Web of Science ®Google Scholar
• Joreskog , K. G. 1977 . “ Factor analysis by least-squares and maximum likelihood methods ” . In Statistical Methods for Digital Computers Edited by: Enslein , K. , Ralson , A. and Wilf , H. S. Vol. 3 , Wiley, New York
   Google Scholar
• Joreskog , K. G. and Lawley , D. N. 1968 . New methods in maximum likelihood factor analysis . British Journal of Mathematical and Statistical Psychology , 21 : 85 – 96 .
   Web of Science ®Google Scholar
• Joreskog , K. G. and Goldberger , A. S. 1972 . Factor analysis by generalized least squares . Psychometrika , 37 : 243 – 260 .
   Web of Science ®Google Scholar
• Joreskog , K. G. and Sorbom , D. 1984 . LISREL VI: Analysis of Linear Structural Relationships by Maximum Likelihood and Least Squares Methods , Uppsala, Sweden : University of Uppsala .
   Google Scholar
• Kendall , M. G. 1975 . Multivariate Analysis , London : Charles Griffin Amp; Co., Ltd. .
   Google Scholar
• Lawley , D. N. 1940 . The estimation of factor loadings by the method of maximum likelihood . Proceedings of Royal Society, Edinburgh A , 60 : 64 – 82 .
   Google Scholar
• Lawley , D. N. 1941 . Further investigations in factor estimation . Proceedings of Royal Society, Edinburgh A , 61 : 176 – 185 .
   Google Scholar
• Lawley , D. N. 1943 . The application of the maximum likelihood method to factor analysis . British Journal of Psychology , 33 : 172 – 275 .
   Google Scholar
• Lawley , D. N. and Maxwell , A. E. 1971 . Factor Analysis as a Statistical Method , New York : American Elsevier .
   Google Scholar
• Lee , S. Y. and Jennrich , R. I. 1979 . A study of algorithms for covariance structure analysis with specific comparison using factor analysis . Psychometrika , 44 : 99 – 113 .
   Web of Science ®Google Scholar
• Lord , F. M. 1956 . A study of speed factors in tests and academic grades . Psychometrika , 21 : 31 – 50 .
   Web of Science ®Google Scholar
• Maxwell , E. A. 1961 . Recent trends in factor analysis . Journal of the Royal Statistical Society, Series A , 124 : 49 – 59 .
   Google Scholar
• Okamoto , M. and Ihara , M. 1983 . A new algorithm for the least squares solution in factor analysis . Psychometrika , 48 : 597 – 605 .
   Google Scholar
• Rao , C. R. 1955 . Estimation and tests of significance in factor analysis . Psychometrika , 20 : 93 – 111 .
   Web of Science ®Google Scholar
• Rubin , D. B. and Thayer , D. T. 1982 . EM algorithms for ML factor analysis . Psychometrika , 47 : 69 – 76 .
   Web of Science ®Google Scholar
• 1982 . SAS User's Guide; Statistics , Cary, North Carolina : SAS Institute, Inc. .
   Google Scholar