Semiparametric Regression Splines in Matched Case-Control Studies

Biometrics

Volumn 59, Issue 4, 2003, Pages 1158-1169

  Kim, Inyoung ^a   Cohen, Noah D ^a   Carroll, Raymond J ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Bayesian method; Cross validation; EM algorithm; Matched case control; Monte Carlo EM; Penalized regression splines; Semiparametric regression splines

Indexed keywords

BAYESIAN NETWORKS; MONTE CARLO METHODS; REGRESSION ANALYSIS;

BAYESIAN METHODS; CASE-CONTROL; CROSS VALIDATION; EM ALGORITHMS; MATCHED CASE-CONTROL; MONTE CARLO EM; PENALIZED REGRESSION SPLINE; REGRESSION SPLINES; SEMI-PARAMETRIC REGRESSIONS; SEMIPARAMETRIC REGRESSION SPLINE;

MAXIMUM PRINCIPLE;

EPIDEMIOLOGY;

ALGORITHM; BAYES THEOREM; CASE CONTROL STUDY; MONTE CARLO METHOD; PARAMETER; REGRESSION ANALYSIS; REVIEW; STATISTICAL ANALYSIS; VALIDATION PROCESS;

EQUIDAE;

EID: 0347994075     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2003.00133.x     Document Type: Review

References (31)

1. Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of Statistics 12, 171-178.
2. Booth, J. G. and Hobert, J. H. (1998). Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm. Journal of Royal Stastical Society, Series B 62, 265-285.
3. Booth, J. G. and Hobert, J. H. (1999). Standard errors of prediction in generalized linear mixed models. Journal of the American Stastical Association 93, 262-272.
4. Chib, S. and Greenberg, E. (1995). Understanding the Metropolis-Hastings algorithm. American Statistician 49, 327-335.
5. Cohen, N. D. (1997). Epidemiology of colic. Veterinary Clinic North America Equine Practice 13, 91-201.
6. Cohen, N. D., Matejka, P. L., and Honnas, C. M. (1995). Case-control study of the association between various management factors and development of colic in horses. Journal of American Veterinary Medical Association 206, 667-673.
7. Cohen, N. D., Gibbs, P. G., and Woods, A. M. (1999). Dietary and other management factors associated with colic in horses. Journal of American Veterinary Medical Association 215, 53-60.
8. Coull, B. A., Ruppert, D., and Wand, M. P. (2001). Simple incorporation of interactions into additive models. Biometrics 57, 539-545.
9. Eilers, P. H. C. and Marx, B. D. (1996). Flexible smoothing with B-splines and penalties (with discussion). Statistical Science 11, 89-121.
10. Hastie, T. J. and Tibshirani, R. J. (1990). Generalized Additive Models, 205-208. Monographs on Statistics and Applied Probability, 43. New York: Chapman and Hall.
11. Hillyer, M. H., Taylor, F. G. R., and French, N. P. (2001). A cross-sectional study of colic in horses on thoroughbred training premises in the British Isles in 1997. Equine Veterinary Journal 33, 380-385.
12. Hosmer, D. W. and Lemeshow, S. (1989). Applied Logistic Regression. Wiley, New York.
13. Hudson, J. M., Cohen, N. D., and Gibbs, P. (2001). Feeding practices associated with colic in horses. Journal of the American Veterinary Medical Association 219, 1419-1425.
14. Joly, P., Commenges, D., and Letenneur, L. (1998). A penalized likelihood approach for arbitrarily censored and truncated data: Application to age-specific incidence of dementia. Biometrics 54(1), 185-194.
15. Kaneene, J. B., Miller, R., and Ross W. A. (1997). Risk factors for colic in the Michigan (U.S.A.) equine population. Preventive Veterinary Medicine 30, 23-36.
16. McCulloch, C. E. (1997). Maximum likelihood algorithms for generalized linear mixed models. Journal of the American Statistical Association 92, 162-170.
17. O'Sullivań, F. (1988). Fast computation of fully automated log-density and log-hazard estimators. SIAM Journal of Scientific and Statistical Computing 9, 363-379.
18. Paik, M. C. and Sacco, R. L. (2000). Matched case-control data analyses with missing covariates. Applied Statistics 49, 145-156.
19. Proudman, C. J. (1991). A two year, prospective survey of equine colic in general practice. Equine Veterinary Journal 24, 90-93.
20. Proudman, C. J. and Edwards, G. B. (1993). Are tape-worms associated with equine colic? A case control study. Equine Veterinary Journal 25, 224-226.
21. Reeves, M. J., Gay, J. M., and Hilbert, B. J. (1989). Association of age, sex and breed factors in acute equine colic: A retrospective study of 320 cases admitted to a veterinary teaching hospital in the U.S.A. Preventive Veterinary Medicine 7, 149-160.
22. Reeves, M. J., Salman, M. D., and Smith, G. (1996). Risk factors for equine acute abdominal disease (colic): results from a multi-center case-control study. Preventive Veterinary Medicine 26, 285-301.
23. Ruppert, D. (2002). Selecting the number of knots for penalized splines. Journal of Computational and Graphical Statistics, 11, 735-757.
24. Ruppert, D. and Carroll, R. J. (2000). Specially-adaptive penalties for spline fitting. Australian and New Zealand Journal of Statistics 42, 205-223.
25. Ruppert D., Wand, M. P., and Carroll, R. J. (2003). Semi-parametric Regression. Cambridge: Cambridge University Press.
26. Satten, G. A. and Carroll, R. J. (2000). Conditional and unconditional categorical regression models with missing covariates. Biometrics 56, 384-388.
27. Satten, G. A. and Kupper, L. L. (1993). Inferences about exposure-disease association using probability of exposure information. Journal of the American Statistical Association 88, 200-208.
28. Tinker, M. K., White, N. A., and Lessard P. (1997a). Prospective study of equine colic incidence and mortality. Equine Veterinary Journal 29, 448-453.
29. Tinker, M. K., White, N. A., and Lessard P. (1997b). Prospective study of equine colic risk factors. Equine Veterinary Journal 29, 454-458.
30. Traub-Dargatz, J. L., Kopral, C. A., and Seitzinger, A. H. (2001). Estimate of the national incidence of and operation-level risk factors for colic among horses in the United States, spring 1998 to spring 1999. Journal of the American Veterinary Medical Association 219, 67-71.
31. Uhlinger, C. (1990). Effects of three anthelmintic schedules on the incidence of colic in horses. Equine Veterinary Journal 22, 251-254.