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Journal of the American Statistical Association Volume 79, 1984 - Issue 386
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Theory and Method

Power Transformations When Fitting Theoretical Models to Data

Raymond J. Carroll University of North Carolina, Chapel Hill, NC, 27514, USA
&
David Ruppert University of North Carolina, Chapel Hill, NC, 27514, USA
Pages 321-328 | Received 01 Nov 1982, Published online: 12 Mar 2012

References

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  • Box , G. E.P. and Cox , D. R. 1982 . “An Analysis of Transformations Revisited, Rebutted” . Journal of the American Statistical Association , 77 : 209 – 210 .
  • Box , G. E.P. and Hill , W. J. 1974 . “Correcting Inhomogeneity of Variance with Power Transformation Weighting” . Technometrics , 16 : 385 – 389 .
  • Carr , N. L. 1960 . “Kinetics of Catalytic Isomerization of n-Pentane” . Industrial and Engineering Chemistry , 52 : 391 – 396 .
  • Carroll , R. J. 1982a . “Prediction and the Power Transformation Family When Choice of Power Is Restricted to a Finite Set” . Journal of the American Statistical Association , 77 : 908 – 915 .
  • Carroll , R. J. 1982b . “Robust Estimation in Certain Heteroscedastic Linear Models When There Are Many Parameters” . Journal of Statistical Planning and Inference , 7 : 1 – 12 .
  • Carroll , R. J. and Ruppert , D. 1981 . “Prediction and the Power Transformation Family” . Biometrika , 68 : 609 – 617 .
  • Carroll , R. J. and Ruppert , D. 1982 . “Robust Estimation in Heteroscedastic Linear Models” . Annals of Statistics , 10 : 429 – 441 .
  • Hinkley , D. V. and Runger , G. 1984 . “Analysis of Transformed Data” . Journal of the American Statistical Association , 79 : 302 – 309 .
  • Pritchard , D. J. , Downie , J. and Bacon , D. W. 1977 . “Further Consideration of Heteroscedasticity in Fitting Kinetic Models” . Technometrics , 19 : 227 – 236 .
  • Ricker , W. E. 1954 . “Stock and Recruitment” . Journal of Fisheries Research Board of Canada , 11 : 559 – 623 .
  • Ruppert , D. and Carroll , R. J. 1980 . “Trimmed Least Squares Estimation in the Linear Model” . Journal of the American Statistical Association , 75 : 828 – 838 .
  • Ruppert , D. , Reish , R. L. , Deriso , R. B. and Carroll , R. J. 1983 . “A Stochastic Population Model for Managing the Atlantic Menhaden Fishery and Assessing Managerial Risks” , Department of Statistics, University of North Carolina at Chapel Hill . Mimeo Series No. 1532

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