BoxCoxBiblio.pdf
© 2007, Timothy G. Gregoire, Yale University
Last revised: February 2007
BOX – COX TRANSFORMATIONS BIBLIOGRAPHY
1961-Present (36 entries)
1. Cox, D.R. (1961). Tests of separate families of hypotheses. In J. Neyman (ed.),
Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability
(pp.105-123). Berkeley: University of California Press.
2. Box, G.E.P. & Tidwell, P.W. (1962). Transformation of the independent variables.
Technometrics 4(4): 531-550.
3. Cox, D.R. (1962). Further results on test of separate families of hypotheses. Journal of
the Royal Statistical Society–Series B 24(2): 406-424.
4. Box, G.E.P. & Cox, D.R. (1964). An analysis of transformations. Journal of the Royal
Statistical Society–Series B 26(2): 211-252.
5. Goldberger, A.S. (1968). The interpretation and estimation of Cobb-Douglas functions.
Econometrica 35(3-4): 464-472.
6. Andrews, D.F. (1971). A note on the selection of data transformations. Biometrika 58(2):
249-254.
7. Schlesselman, J. (1971). Power families: a note on the Box and Cox transformation.
Journal of the Royal Statistical Society–Series B 33(2): 307-311.
8. Sclove, S.L. (1972). (Y vs. X) or (log Y vs. X)? Technometrics 14(2): 391-403.
9. Atkinson, A.C. (1973). Testing Transformations to Normality. Journal of the Royal
Statistical Society–Series B 35(3): 473-479.
10. Box, G.E.P. & Hill, W.J. (1974). Correcting inhomogeneity of variance with power
transformation weighting. Technometrics 16(3): 385-389.
11. Spitzer, J.J. (1978). A Monte Carlo investigation of the Box-Cox transformation in small
samples. Journal of the American Statistical Association 73(363): 488-495.
12. Carroll, R.J. (1980). A robust method for testing transformations to achieve approximate
normality. Journal of the Royal Statistical Society–Series B 42(1): 71-78.
13. Amemiya, T. & Powell, J.L. (1981). A comparison of the Box-Cox maximum likelihood
estimator and the non-linear two-stage least squares estimator. Journal of Econometrics
17: 351-381.
14. Bickel, P.J. & Doksum, K.A. (1981). An analysis of transformations revisited. Journal of
the American Statistical Association 76(374): 296-311.
BoxCoxBiblio.doc
© 2007, Timothy G. Gregoire, Yale University
15. Box, G.E.P. & Cox, D.R. (1982). An analysis of transformations revisited, rebutted.
Journal of the American Statistical Association 77(377): 209-210.
16. Guerrero, V.M. & Johnson, R.A. (1982). Use of the Box-Cox transformation with binary
response models. Biometrika 69(2): 309-314.
17. Hinkley, D.V. & Runger, G. (1984). The analysis of transformed data. Journal of the
American Statistical Association 79(386): 302-320.
18. Davidson, R. & MacKinnon, J.G. (1985). Testing linear and loglinear regressions against
Box-Cox alternatives. Canadian Journal of Economics XVIII(3): 499-517.
19. Taylor, J.M.G. (1985a). Measures of location of skew distributions obtained through
Box-Cox transformations. Journal of the American Statistical Association 80(390):
427-432.
20. Taylor, J.M.G. (1985b). Power transformations to symmetry. Biometrika 72(1): 145-152.
21. Geisser, S. (1986). Opera Selecta Boxi. Statistical Science 1(1): 106-113.
22. Taylor, J.M.G. (1986). The retransformed mean after a fitted power transformation.
Journal of the American Statistical Association 81(393): 114-118.
23. Perry, J.N. (1987). Iterative improvement of a power transformation to stabilize variance.
Applied Statistics 36(1): 15-21.
24. Taylor, J.M.G. (1989). A note on the cost of estimating the ratio of regression parameters
after fitting a power transformation. Journal of Statistical Planning and Inference 21:
223-230.
25. Sakia, R.M. (1990). Retransformation bias: a look at the Box-Cox transformation to
linear balanced mixed ANOVA models. Metrika 37: 345-351.
26. Stoline, M.R. (1991). An examination of the lognormal and Box and Cox family of
transformations in fitting environmental data. Environmetrics 2(1): 85-106.
27. Sakia, R.M. (1992). The Box-Cox transformation technique: a review. The Statistician
41: 169-178.
28. Wooldridge, J.M. (1992). Some alternatives to the Box-Cox regression model.
International Economic Review 33(4): 935-955.
29. Velleman, P. (1993). Email regarding “Fallacies & Transformat (sic)”
30. Edwards, L.J. & Hamilton, S.A. (1995). Errors-in-variables and the Box-Cox
transformation. Computational Statistics & Data Analysis 20: 131-140.
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BoxCoxBiblio.doc
© 2007, Timothy G. Gregoire, Yale University
31. Kim, M. & Hill, R.C. (1995). Shrinkage estimation in nonlinear regression: The Box-Cox
transformation. Journal of Econometrics 66: 1-33.
32. Sakia, R.M. (1995). An empirical comparison of three bias estimating procedures due to
retransformation. Informatik, Biometrie und Epidemiologie in Medizin und Biologie
26(1): 1-6.
33. Taylor, R.M.G., Siqueira, A.L. and Weiss, R.E. (1996). The cost of adding parameters to
a model. Journal of the Royal Statistical Society–Series B 58(3): 593-607.
34. Lipsitz, S.R. (2000). Using a Box-Cox transformation in the analysis of longitudinal data
with incomplete responses. Applied Statistics 49(2): 287-296.
35. Riani, M. & Atkinson, A.C. (2000). Robust diagnostic data analysis: transformations in
regression. Technometrics 42(4): 1-11.
36. Cook, R.D. & Olive, D.J. (2001). A note on visualizing response transformations in
regression. Technometrics 43(4): 443-449.
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