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Original Articles

A Simple Diagnostic Plot Connecting Robust Estimation, Outlier Detection, and False Discovery Rates

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Pages 1131-1147 | Published online: 11 Jan 2007

References

  • Adimari , G. and Ventura , L. 2001 . Robust inference for generalized linear models with application to logistic regression . Statistics and Probability Letters , 55 : 413 – 419 .
  • Benjamini , Y. and Hochberg , Y. 1995 . Controlling the false discovery rate: a practical and powerful approach to multiple testing . Journal of the Royal Statistical Society , 57 : 289 – 300 . Series B
  • Benjamini , Y. and Yekutieli , D. 2001 . The control of the false discovery rate in multiple testing under . Annals of Statistics , 29 ( 4 ) : 1165 – 1188 .
  • Cantoni , E. and Ronchetti , E. 2001 . Robust inference for generalized linear models . Journal of the American Statistical Association , 96 : 1022 – 1030 .
  • Chambers , J. and Hastie , T. 1991 . Cole Computer Science Series , Edited by: Chambers , J. and Hastie , T. Pacific Grove, California : Wadsworth & Brooks .
  • Efron , B. , Tibshirani , R. , Storey , J. and Tusher , V. 2001 . Empirical Bayesian analysis of a microarray experiment . Journal of the American Statistical Association , 96 ( 465 ) : 1151 – 1160 .
  • Gray , J. B. and Woodall , W.-H. 1994 . The maximum size of standardized and internally studentized residuals in regression analysis . The American Statistician , 48 : 111 – 113 .
  • Hadi , A. and Simonoff , J. 1993 . Procedures for the identification of multiple outliers in linear models . Journal of the American Statistical Association , 88 ( 424 ) : 1264 – 1272 .
  • Hampel , F. R. , Ronchetti , E. M. , Rousseeuw , P. J. and Stahel , W. A. 1986 . The Approach Based on Influence Functions , Indianapolis, IN : John Wiley & Sons .
  • Huber , P. J. 1964 . Robust estimation of a location parameter . The Annals of Mathematical Statistics , 35 : 73 – 101 .
  • Kunsch , H. , Stefanski , L. and Carroll , R. 1989 . Conditionally unbiased bounded-influence estimation in general regression models, with applications to generalized linear models . Journal of the American Statistical Association , 84 ( 406 ) : 460 – 466 .
  • Li , B. and Zamar , R. H. 1991 . Min-max asymptotic variance of $m$-estimates of location when scale is unknown . Statistics and Probability Letters , 11 ( 2 ) : 139 – 145 .
  • Li , B. and Zamar , R. H. 1996 . $-estimates of regression when the scale is unknown and the error distribution is possibly asymmetric: A minimax result . The Canadian Journal of Statistics , 24 : 193 – 206 .
  • McKean , J. W. , Sheather , S. J. and Hettmansperger , T. P. 1993 . The use and interpretation of residuals based on robust estimation . Journal of the American Statistical Association , 88 : 1254 – 1263 .
  • R Development Core Team . 2004 . “ A language and environment for statistical computing ” . Vienna, , Austria : R Foundation for Statistical Computing .
  • Rousseeuw , P. J. and Leroy , A. M. 1987 . Robust Regression and Outlier Detection , Indianapolis, IN : John Wiley & Sons .
  • Spiegelhalter , D. J. 2001 . Bayesian methods for cluster randomised trials with continuous responses . Statistics in Medicine , 20 : 435 – 452 .
  • Spiegelhalter , D. J. , Aylin , P. , Evans , S. J. W. , Murray , G. D. and Best , N. G. 2002 . Commissioned analysis of surgical performance using routine data: lessons from the Bristol Inquiry (with discussion) . Journal of the Royal Statistical Society , 165 : 91 – 232 . Series∼A
  • Stefanski , L. A. and Boos , D. D. 2002 . The calculus of {M}-estimation . The American Statistician , 56 ( 1 ) : 29 – 38 .
  • Storey , J. 2002 . A direct approach to false discovery rates . Journal of the Royal Statistical Society , 64 ( 3 ) : 479 – 498 . Series B
  • Storey , J. 2003 . The positive false discovery rate: A Bayesian interpretation and the q-value . Annals of Statistics , 31 : 2013 – 2035 .
  • Storey , J. , Taylor , J. and Siegmund , S. 2004 . Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates, a unified approach . Journal of the Royal Statistical Society , 66 ( 1 ) : 187 – 205 . Series B
  • Storey , J. and Tibshirani , R. 2003 . Statistical significance for genomewide studies . Proceedings of the National Academy of Science , 100 ( 16 ) : 9440 – 9445 .
  • Tsai , C.-A. , Hsueh , H.-M. and Chen , J. 2003 . Estimation of false discovery rates in multiple testing: Application to gene microarray data . Biometrics , 59 : 1071 – 1081 .
  • Tukey , J. 1960 . “ A survey of sampling from contaminated distributions ” . In Contributions to Probability and Statistics , Edited by: Olkin , I. , Ghurye , S. , Hoeffding , W. , Madow , W. and Mann , H. 448 – 485 . Stanford, Calif : Stanford Unversity Press .
  • Tzeng , J. Y. , Byerley , W. , Devlin , B. , Roeder , K. and Wasserman , L. 2003 . Outlier detection and false discovery rates for whole-genome {DNA}matching . Journal of the American Statistical Association , 98 ( 461 ) : 236 – 246 .
  • Venables , W. N. and Ripley , B. D. 1999 . Modern Applied Statistics With S , Springer-Verlag .

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