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Original Articles

Multiple population covariance structure analysis under arbitrary distribution theory

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Pages 1951-1964 | Received 01 Oct 1986, Published online: 27 Jun 2007

References

  • Aitchison , J. and Silvey , S.D. 1958 . Maximum likelihood estimation of parameters subject to restraints . Annals of Mathematical Statistics , 29 : 813 – 828 .
  • Bentler , P.M. 1983 . Some contributions to efficient statistics for structural models: Specification and estimation of moment structures . Psychometrika , 48 : 493 – 517 .
  • Bentler , P.M. and Dijkstra , T. 1985 . “ Efficient estimation vialinearization in structural models ” . In Multivariate Analysis VI , Edited by: Krishnaiah , P.R. 9 – 42 . Amsterdam : North-Holland .
  • Browne , M.W. 1984 . Asymptotically distribution-free methods for the analysis of covariance structures . British Journal of Mathematical and Statistical Psychology , 37 : 62 – 83 .
  • Fletcher , R. 1981 . “ Practical methods of optimization ” . In Constrained optimization , Vol. 2 , Chichester : Wiley .
  • Graybill , F.A. 1976 . Theory and application of the linear model , Mass : Duxburg .
  • Jennrich , R.I. 1969 . Asymptotic properties of nonlinear least squares estimators . Annals of Mathematical Statistics , 40 : 633 – 643 .
  • Lee , S.Y. and Bentler , P.M. 1980 . Some asymptotic properties of constrained generalized least squares estimation in covariance structure models . South African Statistical Journal , 14 : 121 – 136 .
  • Lee , S.Y. and Tsui , K.L. 1982 . Covariance structure analysis in several populations . Psychometrika , 47 : 297 – 308 .
  • Mooijaart , A. and Bentler , P.M. 1985 . The weight matrix in asymptotic distribution-free methods . British Journal of Mathematical and Statistical Psychology , 38 : 190 – 196 .
  • Rao , C.R. 1973 . Linear Statistical Inference and its Applications , New York : Wiley . 2nd Ed
  • Satorra , A. 1986 . Alternative test criteria in covariance structure analysis: A unified approach Under editorial review
  • Shapiro , A. 1983 . Asymptotic distribution theory in the analysis of covariance structures . South African Statistical Journal , 17 : 33 – 81 .

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