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Adaptive Transformation of Positive Valued Continuous Outcomes

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Part of the book series: Statistics for Biology and Health ((SBH))

Abstract

This chapter presents analyses of several data sets with positive valued univariate or multivariate continuous outcomes addressing the need for power transformation of those outcomes along with power transformation of predictors for those outcomes. The outcome variables include those analyzed in Chaps. 25 as well as a new data set on plasma levels of beta-carotene in humans in terms of their fiber intake and vitamin usage. The chapter also provides a formulation for power-adjusted likelihood cross-validation (LCV) scores that can be maximized to choose a real valued power for transforming an outcome.

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References

  • Box, G. E. P., & Cox, D. R. (1964). An analysis of transformations. Journal of the Royal Statistical Society, Series B, 26, 211–252.

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  • Box, G. E. P., & Tidwell, P. W. (1962). Transformation of the independent variables. Technometrics, 4, 531–550.

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  • Carroll, R. J., & Ruppert, D. (1984). Power transformations when fitting theoretical models to data. Journal of the American Statistical Association, 79, 321–328.

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  • Nierenberg, D. W., Stukel, T. A., Baron, J. A., Dain, B. J., & Greenberg, E. R. (1989). Determinants of plasma levels of beta-carotene and retinol. American Journal of Epidemiology, 130, 511–521.

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© 2016 Springer International Publishing Switzerland

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Knafl, G.J., Ding, K. (2016). Adaptive Transformation of Positive Valued Continuous Outcomes. In: Adaptive Regression for Modeling Nonlinear Relationships. Statistics for Biology and Health. Springer, Cham. https://doi.org/10.1007/978-3-319-33946-7_6

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