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Theory and Method

Interactive Tree-Structured Regression via Principal Hessian Directions

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Pages 547-560 | Received 01 Oct 1996, Published online: 17 Feb 2012

References

  • Alexander , W. P. and Grimshaw , S. D. 1996 . “Treed Regression” . Journal of Computational Graphical Statistics , 5 : 156 – 175 .
  • Breiman , L. and Friedman , J. H. 1985 . “Estimating Optimal Transformations for Multiple Regression and Correlation” . Journal of the American Statistical Association , 80 : 580 – 597 .
  • Breiman , L. and Friedman , J. H. 1988 . Comment on “Tree-Structured Classification via Generalized Discrimination Analysis” . Journal of the American Statistical Association , 83 : 725 – 727 . by W. Y. Loh and N. Vanichsetakul
  • Breiman , L. , Friedman , J. H. , Olshen , R. A. and Stone , C. J. 1984 . Classification and Regression Trees , Belmont , CA : Wadsworth .
  • Chaudhuri , P. , Huang , M. C. , Loh , W. Y. and Yao , R. 1994 . “Piecewise-Polynomial Regression Trees” . Statistica Sinica , 4 : 143 – 167 .
  • Chen , C. H. 1992 . “Interactive Classification Tree Guided by Sliced Inverse Regression: Construction, Modification, and Visualization,” , University of California, Los Angeles, Dept. of Mathematics . unpublished Ph.D. thesis
  • Chen , C. H. and Li , K. C. 1998a . “Can SIR be as Popular as Multiple Linear Regression?” . Statistica Sinica , 8 : 289 – 316 .
  • Chen , C. H. and Li , K. C. 1998b . “Generalization of Fisher's Linear Discriminant Analysis via the Approach of Sliced Inverse Regression,” unpublished manuscript
  • Cheng , C. S. and Li , K. C. 1995 . “A Study of the Method of Principal Hessian Direction for Analysis of Data From Designed Experiments” . Statistica Sinica , 5 : 617 – 639 .
  • Cook , R. D. 1998 . “Principal Hessian Directions Revisited” . Journal of the American Statistical Association , 93 : 84 – 94 .
  • Duan , N. and Li , K. C. 1991 . “Slicing Regression: A Link-Free Regression Method” . The Annals of Statistics , 19 : 505 – 530 .
  • Filliben , J. J. and Li , K. C. 1997 . “A Systematic Approach to the Analysis of Complex Interaction Patterns in Two-Level Factorial Designs” . Technometrics , 39 : 286 – 297 .
  • Friedman , J. H. 1991 . “Multivariate Adaptive Regression Splines” . The Annals of Statistics , 19 : 1 – 141 . (with discussion)
  • Li , K. C. 1991 . “Sliced Inverse Regression for Dimension Reduction” . Journal of the American Statistical Association , 86 : 316 – 342 . (with discussion)
  • Li , K. C. 1992 . “On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma” . Journal of the American Statistical Association , 87 : 1025 – 1039 .
  • Loh , W. Y. and Vanichsetakul , N. 1988 . “Tree-Structured Classification via Generalized Discrimination Analysis” . Journal of the American Statistical Association , 83 : 715 – 728 .
  • Lue , H. H. 1994 . “Principal Hessian Direction-Based Regression Trees,” , University of California, Los Angeles, Dept. of Mathematics . unpublished Ph.D. thesis
  • Sonquist , J. 1970 . “Multivariate Model Building: The Validation of a Search Strategy,” , University of Michigan, Institute for Social Research . technical report
  • Stein , C. 1981 . “Estimation of the Mean of a Multivariate Normal Distribution” . The Annals of Statistics , 9 : 1135 – 1151 .
  • Tierney , L. 1990 . LISP-STAT: An Object-Oriented Environment for Statistical Computing and Dynamic Graphics , New York : Wiley .

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