Semiparametric estimation of major gene and family-specific random effects for age of onset

Biometrics

Volumn 53, Issue 1, 1997, Pages 282-293

  Li, Hongzhe ^a   Thompson, Elizabeth ^b  

^a MAYO CLINIC   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Age of onset; Cox model; Family specific random effects; Gamma frailty model; Gibbs sampler; Major gene effects; Partial likelihood

Indexed keywords

MAXIMUM LIKELIHOOD ESTIMATION; RANDOM PROCESSES; STATISTICAL TESTS;

AGE OF ONSET; COX MODEL; FAMILY-SPECIFIC RANDOM EFFECT; GAMMA FRAILTY MODELS; GENE EFFECTS; GIBBS SAMPLERS; MAJOR GENE EFFECT; PARTIAL LIKELIHOODS; RANDOM EFFECTS; SEMI PARAMETRIC ESTIMATION;

GENES;

ALGORITHM; ARTICLE; FAMILIAL DISEASE; ONSET AGE; PREDICTION; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 0030985592     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533114     Document Type: Article

References (29)

1. Abel, L., Garcia, A., and Demenais, F. (1995). Complex segregation analysis of familial diseases with variable age of onset: Comparison of different methods by a simulation study. Genetic Epidemiology 12, 231-249.
2. Amit, Y., Grenander, U. (1991). Comparing sweep strategies for stochastic relaxation. Journal of Multivariate Analysis 37, 197-222.
3. Babiker, A. and Cuzick, J. (1994). A simple frailty model for family studies with covariates. Statistics in Medicine 13, 1679-1692.
4. Bonney, G. E. (1986). Regressive logistic model for familial disease and other binary traits. Biometrics 42, 611-625.
5. Brent, R. P. (1973). Algorithms for Minimization Without Derivatives. Engelwood Cliffs, New Jersey: Prentice-Hall.
6. Carter, B. S., Beaty, H. B., Steinberg, G. D., Childs, B., and Walsh, P. C. (1992). Mendelian inheritance of familial prostate cancer. Proceedings of the National Academy of Sciences U.S.A. 89, 3367-3371.
7. Chen, W. J., Faraone, S. V., and Tsuang, M. T. (1992). Estimating age at onset distributions: A review of methods and issues. Psychiatric Genetics 2, 219-238.
8. Claus, E. B., Risch, N. J., and Thompson, W. D. (1990). Using age of onset to distinguish between subforms of breast cancer. Annals of Human Genetics 54, 169-177.
9. Claus, E. B., Risch, N. J., and Thompson, W. D. (1991). Genetic analysis of breast cancer in the cancer and steroid hormone study. The American Journal of Human Genetics 48, 232-242.
10. Clayton, D. G. (1978). A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65, 141-151.
11. Clayton, D. G. and Cuzick, J. (1985). Multivariate generalizations of the proportional hazards model. Journal of the Royal Statistical Society, Series A 148, 82-117.
12. Elston, R. C. (1973). Ascertainment and age of onset in pedigree analysis. Human Heredity 23, 105-122.
13. Elston, R. C. and George, V. T. (1989). Age of onset, age at examination and other covariates in the analysis of family data. Genetic Epidemiology 6, 217-220.
14. Gelfand, A. E. and Smith, A. F. M. (1990). Sampling-based approaches to calculating marginal densities. Journal of the American Statistical Association 85, 105-114.
15. Guo, S. W. and Thompson, E. A. (1992). A Monte Carlo method for combined segregation and linkage analysis. American Journal of Human Genetics 51, 1111-1126.
16. Hougaard, P. (1986). A class if multivariate failure time distributions. Biometrika 73, 671-678.
17. Johansen, S. (1983). An extension of Cox's regression model. International Statistical Review 51, 165-174.
18. Klein, J. (1992). Semiparametric estimation of random effects using the Cox model based on the EM algorithm. Biometrics 48, 795-806.
19. Li, H. (1995). Semiparametric estimation of major gene and random environmental effects for age of onset. Ph.D. dissertation, Department of Statistics, University of Washington, Seattle, Washington.
20. Louis, T. A. (1984). Finding the observed information matrix using the EM algorithm. Journal of the Royal Statistical Society, Series B 44, 226-233.
21. Lynch, H. T. (1990). Clinical/genetic features on hereditary breast cancer families. Breast Cancer Research and Treatment 52, 63-71.
22. Malkin, D., Li, F. P., Fraumeni, J. F., Nelson, C. E., Kim, D. H., Kassel J., Gryka, M. A., Bischoff, F. Z., Tainsky, M. A., and Friend, S. H. (1990). Germline p53 mutations in a familial syndrome of breast cancer, sarcomas and other neoplasm. Science 250, 1233-1238.
23. Miki, Y., Swensen, J., Shattuck-Eidens, D., Futreal, A., Harshman, K., Tavtigian, S., Liu, Q., et al. (1994). A strong candidate for the breast and ovarian cancer susceptibility gene BRCA1. Science 266, 66-71.
24. Newman, B., Austin, M. A., Lee, M., and King, M.-C. (1988). Inheritance of breast cancer: Evidence of autosomal dominant transmission in high risk families. Proceedings of the National Academy of Sciences U.S.A. 85, 3044-3048.
25. Nielson, G. G., Gill, R. D., Anderson, P. K., and Sorensen, T. I. A. (1992). A counting process approach to maximum likelihood estimation in frailty models. Scandinavia Journal of Statistics 19, 25-43.
26. Oakes, D. (1982). A model for association in bivariate survival data. Journal of the Royal Statistical Society, Series B 44, 414-422.
27. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1992). Numerical Recipes in C: The Art of Scientific Computing, 2nd edition. New York: Cambridge University Press.
28. Self, S. G. and Prentice, R. L. (1986). Incorporating random effects into multivariate relative risk regression models. In Modern Statistical Methods in Chronic Disease Epidemiology, H. Moolgavkar and R. L. Prentice (eds), 167-177, New York: John Wiley & Sons.
29. Wooster, R., Neuhausen, S. L., Mangion, J., Quirk, Y., Ford, D., Collins, N., Nguyen, K., et al. (1994). Localization of a breast cancer susceptibility gene, BRCA2, to chromosome 13q12-13. Science 265, 2088-2090.