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Journal of the American Statistical Association Volume 93, 1998 - Issue 444
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Theory and Methods

Minimax Robust Designs and Weights for Approximately Specified Regression Models with Heteroscedastic Errors

Douglas P. Wiens Statistics Centre, Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada
Pages 1440-1450 | Received 01 Jul 1996, Published online: 17 Feb 2012

References

  • Box , G. E. P. and Draper , N. R. 1959 . “A Basis for the Selection of a Response Surface Design,” . Journal of the American Statistical Association , 54 : 622 – 654 .
  • Brownlee , K. A. 1965 . Statistical Theory and Methodology in Science and Engineering , New York : Wiley .
  • Carroll , R. J. and Cline , D. B. H. 1988 . “An Asymptotic Theory for Weighted Least Squares With Weights Estimated by Replication,” . Biometrika , 75 : 35 – 43 .
  • Cook , R. D. and Weisberg , S. 1983 . “Diagnostics for Heteroscedasticity in Regression,” . Biometrika , 70 : 1 – 10 .
  • Daniel , C. and Wood , F. S. 1980 . Fitting Equations to Data , New York : Wiley .
  • Dasgupta , A. , Mukhopadhyay , S. and Studden , W. J. 1992 . “Compromise Designs in Heteroscedastic Models,” . Journal of Statistical Inference and Planning , 32 : 363 – 384 .
  • Gradshteyn , I. S. and Ryzhik , I. M. 1980 . Table of Integrals, Series, and Products , New York : Academic Press .
  • Hooper , P. M. 1993 . “Iterative Weighted Least Squares Estimation in Heteroscedastic Linear Models,” . Journal of the American Statistical Association , 88 : 179 – 184 .
  • Huber , P. J. 1975 . “Robustness and Designs,” . In A Survey of Statistical Design and Linear Models , Edited by: Srivastava , J. N. 287 – 303 . Amsterdam : North-Holland .
  • Li , K. C. and Notz , W. 1982 . “Robust Designs for Nearly Linear Regression,” . Journal of Statistical Planning and Inference , 6 : 135 – 151 .
  • Marcus , M. B. and Sacks , J. 1976 . “Robust Designs for Regression Problems,” . In Statistical Theory and Related Topics II , Edited by: Gupta , S. S. and Moore , D. S. 245 – 268 . New York : Academic Press .
  • Pesotchinsky , L. 1982 . “Optimal Robust Designs: Linear Regression in Rk ,” . The Annals of Statistics , 10 : 511 – 525 .
  • Pritchard , D. J. and Bacon , D. W. 1977 . “Accounting for Heteroscedasticity in Experimental Design,” . Technometrics , 19 : 109 – 115 .
  • Pukelsheim , F. 1993 . Optimal Design of Experiments , New York : Wiley .
  • Ryan , T. P. 1997 . Modern Regression Methods , New York : Wiley .
  • Schulz , M. and Endrenyi , L. “Design of Experiments for Estimating Parameters With Unknown Heterogeneity of the Error Variance,” . Proceedings of the Statistical Computing Section . pp. 177 – 181 . American Statistical Association .
  • Staudte , R. G. and Sheather , S. J. 1990 . Robust Estimation and Testing , New York : Wiley .
  • Wiens , D. P. 1992 . “Minimax Designs for Approximately Linear Regression,” . Journal of Statistical Planning and Inference , 31 : 353 – 371 .
  • Wong , W.-K. 1992 . “A Unified Approach to the Construction of Minimax Designs,” . Biometrika , 79 : 611 – 619 .
  • Wong , W.-K. and Cook , R. D. 1993 . “Heteroscedastic G-Optimal Designs,” . Journal of the Royal Statistical Society , 55 : 871 – 880 . Ser. B

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