A Regression Technique Accounting for Heteroscedastic and Asymmetric Errors

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 2, Issue 1, 1997, Pages 108-129

  Williams, Michael S ^a  

^a ROCKY MOUNTAIN RESEARCH STATION   (United States)

Author keywords

Prediction intervals; Transformation of both sides

Indexed keywords

EID: 0001320711     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.2307/1400643     Document Type: Article

References (21)

1. Alberta Environmental Protection, Land, and Forest Service (1988), Alberta Phase 3 Forest Inventory: Tree Sectioning Manual, Pub. No. 168, Edminton, Alberta, Canada.
2. Bartlett, M. S. (1947), "The Use of Transformations," Biometrics, 3, 39-52.
3. Box, G. E. P., and Cox, D. R. (1964), "An Analysis of Transformations Journal of the Royal Statistical Society, Ser. B, 26, 211-246.
4. Carroll, R. J. (1979), "On Estimating Variances of Robust Estimators When the Errors are Asymmetric," Journal of the American Statistical Association, 74, 674-679.
5. Carroll, R. J., and Ruppert, D. (1984), "Power Transformation when Fitting Theoretical Models to Data," Journal of the American Statistical Association, 79, 321-328.
6. _ (1987), "Diagnostics and Robust Estimation when Transforming the Regression Model and Response," Technometrics, 3, 287-300.
7. _ (1988), Transformations and Weighting in Regression, London: Chapman and Hall.
8. Carroll, R. J., and Welsh, A. H. (1988), "A Note on Asymmetry and Robustness in Linear Regression," American Statistician, 42, 285-287.
9. D'Agostino, R. B., Balanger, A., and D'Agostino, R. B. Jr. (1990), "A Suggestion for Using Powerful and Informative Tests for Normality," American Statistician, 44, 316-321.
10. Davidian, M., and Carroll, R. J. (1987), "Variance Function Estimation," Journal of the American Statistical Association, 82, 1079-1091.
11. Duan, N. (1983), "Smearing Estimate: A Nonparametric Retransformation Method," Journal of the American Statistical Association, 78, 605-610.
12. Fletcher, R. (1987), Practical Methods of Optimization (2nd ed.), New York: John Wiley.
13. Gregoire, T. G., and Dyer, M. E. (1989), "Model Fitting Under Patterned Heterogeneity of Variance," Forest Science, 35, 105-125.
14. Husch, B., Miller, C. I., and Beers, T. W. (1982), Forest Mensuration (3rd ed.), New York: John Wiley.
15. Johnson, N. L. (1949), "Systems of Frequency Curves Generated by Methods of Translation," Biometrika, 36, 149-176.
16. Mood A. M., Graybill, F. A., and Boes, D. C. (1974), Introduction to the Theory of Statistics (3rd ed.), New York: McGraw-Hill.
17. Royston, J. P. (1991), "Comment on sg3.4 and an Improved D'Agostino Test," Stata Technical Bulletin, 3, 23-24.
18. Ruppert, D., and Aldershof, B. (1989), "Transformations to Symmetry and Homoscedasticity," Journal of the American Statistical Association, 84, 437-446.
19. Welsh, A. H. (1987), "One-Step L-Estimators for the Linear Model," The Annals of Statistics, 15, 626-641.
20. Welsh, A. H., Carroll, R. J., and Ruppert, D. (1994), "Fitting Heteroscedastic Regression Models," Journal of the American Statistical Association, 89, 100-116.
21. Williams, M. S., and Gregoire, T. G. (1993), "Estimating Weights when Fitting Linear Regression Models for Tree Volume," Canadian Journal of Forest Research, 23, 1725-1731.