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Communications in Statistics - Simulation and Computation Volume 32, 2003 - Issue 1
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Original Articles

Assessing Corrections to the Weighted Chi-Squared Test for Dimension

Efstathia Bura Department of Statistics, The George Washington University, Washington, DC, USACorrespondence[email protected]
&
R. D. Cook School of Statistics, University of Minnesota, St. Paul, Minnesota, USA
Pages 127-146 | Published online: 02 Sep 2006

References

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  • Cook , R. D. 1994 . Using dimension-reduction subspaces to identify important inputs in models of physical systems . 1994 Proceedings of the Section on Physical and Engineering Sciences . 1994 , Alexandria, VA. pp. pp. 18 – 25 . American Statistical Association .
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  • Cook , R. D. 1998 . Principal Hessian directions revisited . J. Am. Statist. Assoc. , 93 : 84 – 94 .
  • Cook , R. D. and Weisberg , S. 1999 . Applied Regression Including Computing and Graphics New York : Wiley .
  • Field , C. 1993 . Tail areas of linear combinations of chi-squares and non-central chi-squares . J. Statist. Comput. Simulation , 45 : 243 – 248 .
  • Li , K. C. 1991 . Sliced inverse regression for dimension reduction . J. Am. Statist. Assoc. , 86 : 316 – 342 .
  • Li , K. C. 1992 . On principal Hessian directions for data visualization and dimension reduction: another application of Stein's lemma . J. Am. Statist. Assoc. , 87 : 1025 – 1039 .
  • Satorra , A. and Bentler , P. M. 1994 . “ Corrections to tests statistics and standard errors in covariance structure analysis ” . In Latent Variables Analysis: Applications for Developmental Research Edited by: von Eye , A. and Clogg , C. C. pp. 399 – 419 . Newbury Park, CA : Sage .
  • Satterthwaite , F. E. 1941 . Synthesis of variance . Psychometrika , 6 : 309 – 316 .
  • Velilla , S. 1998 . Assessing the number of linear components in a general regression problem . J. Am. Statist. Assoc. , 93 : 1088 – 1098 .

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