A note on transforming a response variable for linearity

Biometrika

Volumn 85, Issue 3, 1998, Pages 749-754

  Shi, Peide ^a   Fung, Wing Kam ^b  

^a PEKING UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

B spline; Box cox transformation; Canonical correlation; Nonparametric regression

Indexed keywords

EID: 0012637270     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/85.3.749     Document Type: Article

References (11)

1. ATKINSON, A. C. (1982). Regression diagnostics, transformations and constructed variables (with Discussion). J. R. Statist. Soc. B 44, 1-36.
2. Box, G. E. P. & Cox, D. R. (1964). An analysis of transformations (with Discussion). J. R. Statist. Soc. B 26,211-46
3. COOK, R. D. & WEISBERG, S. (1994). Transforming a response variable for linearity. Biometrika 81, 731-7.
4. DUAN, N. & Li, K. C. (1991). Slicing regression: A link-free regression method. Ann. Statist. 19, 505-30.
5. FRIEDMAN, J. H. & SILVERMAN, B. W. (1989). Flexible parsimonious smoothing and additive modeling (with Discussion). Technometrics 31, 3-21.
6. HE, X. & SIIEN, L. J. (1997). Linear regression after spline transformation. Biometrika 84, 474-81.
7. Li, K. C. & DUAN, N. (1989). Regression analysis and link violation. Ann. Statist. 17, 1009-52.
8. McLACHLAN, G. J. & KRISHNAN, T. (1997). The EM Algorithm and Extensions. New York: John Wiley.
9. SCHUMAKER, L. L. (1981). Spline Functions. New York: John Wiley.
10. SHI, P. D. (1994). On B-spline Af-estimators in a semiparametric regression model. J. Syst. Sei. Math. Sei. (English Series) 7, 270-81.
11. SHI, P. D. & Li, G. Y. (1995). Global rates of convergence of B-spline Af-estimates for nonparametric regression. Statist. Sinica 5, 303-18.