Additive partial linear models with measurement errors

Biometrika

Volumn 95, Issue 3, 2008, Pages 667-678

  Liang, Hua ^a   Thurston, Sally W ^a   Ruppert, David ^b   Apanasovich, Tatiyana ^b   Hauser, Russ ^c  

^a UNIVERSITY OF ROCHESTER MEDICAL CENTER   (United States)

^b School of Chemical and Molecular Engineering   (United States)

^c HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Backfitting; Correction for attenuation; Error prone; Local linear regression; Semen quality study; Semiparametric estimation; SIMEX; Undersmoothing

Indexed keywords

EID: 50949123777     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asn024     Document Type: Article

References (23)

1. CARLSEN, E., PETERSEN, J. H., ANDERSSON, A.-M. & SKAKKEBAEK, N. E. (2004). Effects of ejaculatory frequency and season on variations in semen quality. Fertil. Steril. 82, 358-66.
2. CARROLL, R. J., KücHENHOFF, H., LOMBARD, F. & STEFANSKI, L. A. (1996). Asymptotics for the SIMEX estimator instructural measurement error models. J. Am. Statist. Assoc. 91, 242-50.
3. CARROLL, R. J., RUPPERT, D., STEFANSKI, L. A. & CRAINICEANU, C. M. (2006). Measurement Error in Nonlinear Models, 2nd ed. New York: Chapman and Hall.
4. COOK, J. R. & STEFANSKI, L. A. (1994). Simulation-extrapolation estimation in parametric measurement error models. J. Am. Statist. Assoc. 89, 1314-28.
5. DUTY, S. M., SILVA, M. J., BARR, D. B., BROCK, J. W., RYAN, L., CHEN, Z. Y., HERRICK, R., CHRISTIANI, D. C. & HAUSER, R. (2003). Phthalate exposure and human semen parameters. Epidemiology 14, 269-77.
6. ENGLE, R. F., GRANGER, C. W. J., RICE, J. & WEISS, A. (1986). Semiparametric estimates of the relation between weather and electricity sales. J. Am. Statist. Assoc. 81, 310-20.
7. HAUSER, R., MEEKER, J. D., PARK, S., SILVA, M. J. & CALAFAT, A. M. (2004). Temporal variability of urinary phthalate metabolite levels in men of reproductive age. Envir. Health Perspect. 112, 1734-9.
8. HAUSER, R., MEEKER, J. D., DUTY, S., SILVA, M. J. & CALAFAT, A. M. (2006). Altered semen quality in relation to urinary concentrations of phthalate monoester and oxidative metabolites. Epidemiol. 17, 682-91.
9. HÄRDLE, W., LIANG, H. & GAO, J. (2000). Partially Linear Models. Heidelberg: Springer Physica.
10. HASTIE, T. & TIBSHIRANI, R. (1990). Generalized Additive Models. London: Chapman and Hall.
11. KORT, H. I., MASSEY, J. B., ELSNER, C. W., MITCHELL-LEEF, D., SHAPIRO, D. B., WITT, M. A. & ROUDEBUSH, W. E. (2006). Impact of body mass index values on sperm quantity and quality. J. Androl. 27, 450-2.
12. LIANG, H., HÄRDLE, W. & CARROLL, R. J. (1999). Estimation in a semiparametric partially linear errors-in-variables model. Ann. Statist. 27, 1519-35.
13. OPSOMER, J. D. & RUPPERT, D. (1997). Fitting a bivariate additive model by local polynomial regression. Ann. Statist. 25, 186-211.
14. OPSOMER, J. D. & RUPPERT, D. (1999). A root-n consistent backfitting estimator for semiparametric additive modeling. J. Comp. Graph. Statist. 8, 715-32.
15. ROBINSON, P. M. (1988). Root-n-consistent semiparametric regression. Econometrica 56, 931-54.
16. RUPPERT, D., SHEATHER, S. J. & WAND, M. P. (1995). An effective bandwidth selector for local least squares regression. J. Am. Statist. Assoc. 90, 1257-70.
17. SEVERINI, T. A. & STANISWALIS, J. G. (1994). Quasilikelihood estimation in semiparametric models. J. Am. Statist. Assoc. 89, 501-11.
18. SPECKMAN, P. (1988). Kernel smoothing in partial linear models. J. R. Statist. Soc. B 50, 413-36.
19. STEFANSKI, L. A. & COOK, J. R. (1995). Simulation-extrapolation: The measurement error jackknife. J. Am. Statist. Assoc. 90, 1247-56.
20. STONE, C. J. (1985). Additive regression and other nonparametric models. Ann. Statist. 13, 689-705.
21. SWAN, S. H., BRAZIL, C., DROBNIS, E. Z., LIU, F., KRUSE, R., HATCH, M., REDMON, J. B., WANG, C., OVERSTREET, J. W. & STUDY FOR FUTURE FAMILIES RESEARCH GROUP. (2003). Geographic differences in semen quality of fertile U.S. males. Envir. Health Perspect. 111, 414-20.
22. WANG, N. S., CARROLL, R. & LIN, X. H. (2005). Efficient semiparametric marginal estimation for longitudinal/clustered data. J. Am. Statist. Assoc. 100, 147-57.
23. ZEGER, S. L. & DIGGLE, P. J. (1994). Semiparametric models for longitudinal data with application to CD4 cell numbers in HIV seroconverters. Biometrics 50, 689-99.