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Theory and Method

Procedures for the Identification of Multiple Outliers in Linear Models

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Pages 1264-1272 | Received 01 Aug 1991, Published online: 27 Feb 2012

References

  • Atkinson , A. C. and Mulira , H.-M. 1993 . “The Stalactite Plot for the Detection of Multivariate Outliers,” . Statistics and Computing , 3 : 27 – 35 .
  • Barnett , V. and Lewis , T. 1984 . Outliers in Statistical Data, , 2nd ed. , New York : John Wiley .
  • Brown , R. L. , Durbin , J. and Evans , J. M. 1975 . “Techniques for Testing the Constancy of Regression Relationships Over Time,” . Journal of the Royal Statistical Society , 37 : 149 – 192 . Ser. B
  • Caroni , C. and Prescott , P. 1992 . “Sequential Application of Wilks's Multivariate Outlier Test,” . Applied Statistics , 41 : 355 – 364 .
  • Cook , R. D. 1977 . “Detection of Influential Observations in Linear Regression,” . Technometrics , 19 : 15 – 18 .
  • Gentleman , J. F. and Wilk , M. B. 1975 . “Detecting Outliers II: Supplementing the Direct Analysis of Residuals,” . Biometrics , 31 : 387 – 410 .
  • Hadi , A. S. 1992 . “Identifying Multiple Outliers in Multivariate Data,” . Journal of the Royal Statistical Society , 54 : 761 – 771 . Ser. B
  • Hadi , A. S. 1994 . “A Modification of a Method for the Detection of Outliers in Multivariate Samples,” . Journal of the Royal Statistical Society , : 56 Ser. B
  • Hadi , A. S. and Simonoff , J. S. 1992 . Letter to the Editor: “Outliers in Linear Models,” . Technometrics , 34 : 375 – 377 .
  • Hadi , A. S. and Son , M. S. 1990 . “Some Properties of, and Relationships Among, Several Uncorrelated and Homoscedastic Residual Vectors,” . Communications in Statistics, Part A—Theory and Methods , 19 : 2625 – 2642 .
  • Hartigan , J. A. 1981 . “Consistency of Single Linkage for High-Density Clusters,” . Journal of the American Statistical Association , 76 : 388 – 394 .
  • Hawkins , D. M. 1980 . Identification of Outliers , London : Chapman & Hall .
  • Hawkins , D. M. , Bradu , D. and Kass , G. V. 1984 . “Location of Several Outliers in Multiple Regression Data Using Elemental Subsets,” . Technometrics , 26 : 197 – 208 .
  • Hawkins , D. M. and Simonoff , J. S. 1993 . “High Breakdown Regression and Multivariate Estimation,” . Applied Statistics , 42 : 423 – 432 .
  • Huber , P. J. 1973 . “Robust Regression: Asymptotics, Conjectures, and Monte Carlo,” . The Annals of Statistics , 1 : 799 – 821 .
  • Jain , A. K. and Dubes , P. C. 1988 . Algorithms for Clustering Data , Englewood Cliffs , NJ : Prentice-Hall .
  • Jain , R. B. 1981 . “Percentage Points of Many-Outlier Detection Procedures,” . Technometrics , 23 : 71 – 75 .
  • Kaufman , L. and Rousseeuw , P. J. 1990 . Finding Groups in Data: An Introduction to Cluster Analysis , New York : John Wiley .
  • Kianifard , F. and Swallow , W. H. 1989 . “Using Recursive Residuals, Calculated on Adaptively Ordered Observations, to Identify Outliers in Linear Regression,” . Biometrics , 45 : 571 – 585 .
  • Kianifard , F. and Swallow , W. H. 1990 . “A Monte Carlo Comparison of Five Procedures for Identifying Outliers in Linear Regression,” . Communications in Statistics, Part A—Theory and Methods , 19 : 1913 – 1938 .
  • Krasker , W. S. and Welsch , R. E. 1982 . “Efficient Bounded-Influence Regression Estimation,” . Journal of the American Statistical Association , 77 : 595 – 604 .
  • Marasinghe , M. G. 1985 . “A Multistage Procedure for Detecting Several Outliers in Linear Regression,” . Technometrics , 27 : 395 – 399 .
  • Prescott , P. 1975 . “An Approximation Test for Outliers in Linear Models,” . Technometrics , 17 : 129 – 132 .
  • Paul , S. R. and Fung , K. Y. 1991 . “A Generalized Extreme Studentized Residual Multiple-Outlier-Detection Procedure in Linear Regression,” . Technometrics , 33 : 339 – 348 .
  • Rohlf , F. J. 1975 . “Generalization of the Gap Test for the Detection of Multivariate Outliers,” . Biometrics , 31 : 93 – 101 .
  • Rosner , B. 1975 . “On the Detection of Many Outliers,” . Technometrics , 17 : 217 – 227 .
  • Rosner , B. 1983 . “Percentage Points for a Generalized ESD Many-Outlier Procedure,” . Technometrics , 25 : 165 – 172 .
  • Rousseeuw , P. J. 1984 . “Least Median of Squares Regression,” . Journal of the American Statistical Association , 79 : 871 – 880 .
  • Rousseeuw , P. J. 1985 . “Multivariate Estimation with High Breakdown Point,” . In Mathematical Statistics and Applications , Edited by: Grossmann , W. , Pflug , G. , Vincze , I. and Wertz , W. Vol. B , 283 – 297 . Dordrecht : Reidel .
  • Rousseeuw , P. J. and Leroy , A. M. 1987 . Robust Regression and Outlier Detection , New York : John Wiley .
  • Rousseeuw , P. J. and van Zomeren , B. C. 1990 . “Unmasking Multivariate Outliers and Leverage Points” . Journal of the American Statistical Association , 85 : 633 – 651 . (with discussion)
  • Rousseeuw , P. J. and van Zomeren , B. C. 1991 . “Robust Distances: Simulations and Cutoff Values,” . In Directions in Robust Statistics and Diagnostics: Part II , Edited by: Stahel , W. and Weisberg , S. 195 – 203 . New York : Springer-Verlag .
  • Simonoff , J. S. 1984a . “The Calculation of Outlier Detection Statistics,” . Communications in Statistics, Part B—Simulation and Computation , 13 : 275 – 285 .
  • Simonoff , J. S. 1984b . “A Comparison of Robust Methods and Detection of Outliers Techniques When Estimating a Location Parameter,” . Communications in Statistics, Part A—Theory and Methods , 13 : 813 – 842 .
  • Simonoff , J. S. 1987a . “The Breakdown and Influence Properties of Outlier Rejection-Plus-Mean Procedures,” . Communications in Statistics, Part A—Theory and Methods , 16 : 1749 – 1760 .
  • Simonoff , J. S. 1987b . “Outlier Detection and Robust Estimation of Scale,” . Journal of Statistical Computation and Simulation , 27 : 79 – 92 .
  • Simonoff , J. S. 1988 . “Detecting Outlying Cells in Two-Way Contingency Tables Via Backwards-Stepping,” . Technometrics , 30 : 339 – 345 .
  • Simonoff , J. S. 1991 . “General Approaches to Stepwise Identification of Unusual Values in Data Analysis,” . In Directions in Robust Statistics and Diagnostics: Part II , Edited by: Stahel , W. and Weisberg , S. 223 – 242 . New York : Springer-Verlag .
  • Simpson , D. G. , Ruppert , D. and Carroll , R. J. 1992 . “On One-Step GM Estimates and Stability of Inferences in Linear Regression,” . Journal of the American Statistical Association , 87 : 439 – 450 .
  • Spath , H. 1980 . Cluster Analysis Algorithms for Data Reduction and Classification of Objects , New York : Halsted Press .
  • Tietjen , G. L. , Moore , R. H. and Beckman , R. J. 1973 . “Testing for a Single Outlier in Simple Linear Regression,” . Technometrics , 15 : 717 – 721 .
  • Yohai , V. J. 1987 . “High Breakdown-Point and High Efficiency Robust Estimates for Regression,” . The Annals of Statistics , 15 : 642 – 656 .
  • Yohai , V. J. and Zamar , R. H. 1988 . “High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale,” . Journal of the American Statistical Association , 83 : 406 – 413 .

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