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Theory and Methods

Regression Diagnostics for Rank-Based Methods

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Pages 1018-1028 | Received 01 Mar 1989, Published online: 27 Feb 2012

References

  • Afifi , A. A. and Azen , S. P. 1972 . Statistical Analysis: A Computer Oriented Approach , New York : Academic Press .
  • Aubuchon , J. C. and Hettmansperger , T. P. 1989 . Rank-Based Inference for Linear Models: Asymmetric Errors . Statistics and Probability Letters , 8 : 97 – 107 .
  • Belsley , D. A. , Kuh , K. and Welsch , R. E. 1980 . Regression Diagnostics , New York : John Wiley .
  • Chatterjee , S. and Hadi , A. 1988 . Sensitivity Analysis in Linear Regression , New York : John Wiley .
  • Cook , R. D. and Weisberg , S. 1982 . Residuals and Influence in Regression , New York : Chapman and Hall .
  • Cook , R. D. and Weisberg , S. 1989 . Regression Diagnostics With Dynamic Graphics . Technometrics , 31 : 277 – 291 .
  • Dongarra , J. J. , Bunch , J. R. , Moler , C. B. and Stewart , G. W. 1979 . Linpack Users’ Guide , Philadelphia : Society for Industrial and Applied Mathematics .
  • Draper , N. R. and Smith , H. 1966 . Applied Regression Analysis , New York : John Wiley .
  • Heiler , S. and Willers , R. 1988 . Asymptotic Normality of R-Estimates in the Linear Model . Statistics , 19 : 173 – 184 .
  • Hettmansperger , T. P. and McKean , J. W. 1977 . A Robust Alternative Based on Ranks to Least Squares in Analyzing General Linear Models . Technometrics , 19 : 275 – 284 .
  • Hettmansperger , T. P. and McKean , J. W. 1983 . A Geometric Interpretation of Inferences Based on Ranks in the Linear Model . Journal of the American Statistical Association , 78 : 885 – 893 .
  • Jaeckel , L. A. 1972 . Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals . The Annals of Mathematical Statistics , 43 : 1449 – 1458 .
  • Koul , H. L. , Sievers , G. L. and McKean , J. W. 1987 . An Estimator of the Scale Parameter for the Rank Analysis of Linear Models Under General Score Functions . Scandinavian Journal of Statistics , 14 : 131 – 141 .
  • McKean , J. W. 1975 . Tests of Hypotheses Based on Ranks in the General Linear Model , The Pennsylvania State University, Dept. of Statistics . unpublished Ph.D. thesis
  • McKean , J. W. and Hettmansperger , T. P. 1976 . Tests of Hypotheses of the General Linear Model Based on Ranks . Communications in Statistics, Part A–Theory and Methods , 5 : 693 – 709 .
  • McKean , J. W. and Hettmansperger , T. P. 1978 . A Robust Analysis of the General Linear Model Based on One Step R-Estimates . Biometrika , 65 : 571 – 579 .
  • McKean , J. W. and Schrader , R. M. 1980 . The Geometry of Robust Procedures in Linear Models . Journal of the Royal Statistical Society , 42 : 366 – 371 . (Ser. B)
  • McKean , J. W. and Schrader , R. M. 1984 . A Comparison of Methods for Studentizing the Sample Median . Communications in Statistics, Part B–Simulation and Computation , 6 : 751 – 773 .
  • McKean , J. W. , Sheather , S. J. and Hettmansperger , T. P. “ Regression Diagnostics for Rank-Based Methods II ” . In IMA Proceedings on Robustness and Diagnostics , Edited by: Stahel , W. and Weisberg , S. New York : Springer . (in press)
  • McKean , J. W. , Sheather , S. J. and Hettmansperger , T. P. 1989 . Standardizing Residuals From A Robust Regression , Western Michigan University, Dept. of Mathematics and Statistics . Technical Report
  • McKean , J. W. and Sievers , G. L. 1989 . Rank Scores Suitable for the Analysis of Linear Models Under Asymmetric Error Distributions . Technometrics , 31 : 207 – 218 .
  • McKean , J. W. , Vidmar , T. J. and Sievers , G. L. 1989 . A Robust Two Stage Multiple Comparison Procedure With Application to a Random Drug Screen . Biometrics , 45 : 1281 – 1297 .
  • Morrison , D. F. 1983 . Applied Linear Statistical Models , Englewood Cliffs , NJ : Prentice-Hall .
  • Osborne , M. R. 1985 . Finite Algorithms in Optimization and Data Analysis , New York : John Wiley .

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