Fitting genetic models to twin data with binary and ordered categorical responses: A comparison of structural equation modelling and Bayesian hierarchical models

Behavior Genetics

Volumn 33, Issue 4, 2003, Pages 441-454

  Kuhnert, Petra M ^a   Do, Kim Anh ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

Author keywords

Bayesian hierarchical models; Binary data; Genetic modelling; Mx; Ordered categorical data; Structural equation modelling (SEM)

Indexed keywords

ARTICLE; BAYES THEOREM; ENVIRONMENT; GENETIC MODEL; HEREDITY; METHODOLOGY; OSTEOARTHRITIS; PHENOTYPE; SAMPLING; SIMULATION; TWINS;

BAYES THEOREM; DATABASES, FACTUAL; HUMANS; MIDDLE AGED; MODELS, GENETIC; MODELS, STATISTICAL; MONTE CARLO METHOD;

EID: 0141605489     PISSN: 00018244     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025325710903     Document Type: Article

References (33)

1. Albert, J., and Chib, S. (1993). Bayesian analysis of binary and polychotomous response data. Journal of the American Statistical Association 88:669-679.
2. Australian Twin Registry. (2002), http://www.twins.org.au. Last visited: 18 December 2002.
3. Best, N. G., Cowles, M. K., and Vines, S. K. (1995). CODA: Convergence Diagnosis and Output Analysis Software for Gibbs Sampling Output, Version 0.30, MRC Biostatistics Unit, Cambridge, UK.
4. Burton, P. R., Tiller, K. J., Gurrin, L. C., Cookson, W. O. C. M., Musk, A. W., and Palmer, L. J. (1999). Genetic variance components analysis for binary phenotypes using generalized linear mixed models (GLMMs) and Gibbs sampling. Genetic Epidemiology 17(2):118-140.
5. Cicuttini, F. M., and Spector, T. D. (1997). What is the evidence that osteoarthritis is genetically determined? Baillieres Clinical Rheumatology 11(4):657-669.
6. Crow, J. F., and Kimura, M. (1970). Introduction to Population Genetics Theory, Harper and Row, New York.
7. Do, K.-A., Broom, B. M., Kuhnert, P., Duffy, D. L., Todorov, A. A., Treloar, S. A., and Martin, N. G. (2000). Genetic analysis of the age at menopause by using estimating equations and Bayesian random effects models. Statistics in Medicine 19(9): 1217-1235.
8. Dobson, A. (2002). An introduction to generalized linear models (2nd ed.). London: Chapman and Hall.
9. Eaves, L., Last, K., Young, P., and Martin, N. (1978). Model-fitting approaches to the analysis of human behaviour. Heredity 41: 249-320.
10. Falconer, D. S. (1989). Introduction to quantitative genetics (3rd ed.). New York: Wiley.
11. Faucett, C., Gauderman, W. J., Thomas, D., Ziogas, A., and Sobel, E. (1993). Combine segregation and linkage analysis of late-onset alzheimer's disease in duke families using gibbs sampling. Genetic Epidemiology 10:489-494.
12. Gauderman, W. J., Morrison, J. L., Carpenter, C. L., and Thomas, D. C. (1997). Analysis of gene-smoking interaction in lung cancer. Genetic Epidemiology 14(2):199-214.
13. Geman, S., and Geman, D. (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 6(6): 721-741.
14. 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.
15. Guo, S. W., and Thompson, E. A. (1994). Monte carlo estimation of mixed models for large complex pedigrees. Biometrics 50(2): 417-432.
16. Heath, S. C. (1997). Markov chain monte carlo segregation and linkage analysis for oligogenic models. American Journal of Human Genetics 61:748-760.
17. Joreskog, K., and Sorbom, D. (1989). LISREL 7: A guide to the program and applications. Chicago: SPSS, Inc.
18. Kempthorne, O. (ed.) (1960). Biometrical genetics: Proceedings. London: Pergamon Press.
19. Kirk, K., Blomberg, S., Duffy, D., Heath, A., Owens, I., and Martin, N. (2001). Natural selection and quantitative genetics of life-history traits in western women: A twin study. Evolution 55(2): 423-435.
20. Kong, A., Frigge, M., Cox, N., and Wong, W. H. (1992). Linkage analysis with adjustments for covariates: A method combining peeling with Gibbs sampling. Cytogenetics and Cell Genetics 59:208-210.
21. Lake, R., Eaves, L., Maes, H., Heath, A., and Martin, N. (2001). Further evidence against the environmental transmission of individual differences in neuroticism from a collaborative study of 45,850 twins and relatives on two continents. Behavior Genetics 30(3):223-233.
22. Lange, K., and Sobel, E. (1991). A random walk method for computing genetic location scores. American Journal of Human Genetics 49:1320-1334.
23. MacGregor, A. J., and Spector, T. D. (1999). Twins and the genetic architecture of osteoarthritis. Rheumatology 38(7):583-588.
24. Martin, N. G., and Martin, P. G. (1975). The inheritance of scholastic abilities in a sample of twins: Ascertainment of the sample and diagnosis of zygosity. Annals of Human Genetics 39: 213-218.
25. McCullagh, P., and Nelder, J. (1989). Generalized linear models, (2nd ed.) London: Chapman and Hall.
26. Mengersen, K. L., Robert, C. P., and Guihenneuc-Jouyaux, C. (1999). MCMC convergence diagnostics: A "revieWWW." In Bernardo, J. M., Berger, J. O., Dawid, A. P., and Smith, A. F. M. (eds.), Bayesian Statistics 6. Oxford: Oxford University Press, pp. 415-440.
27. Neale, M. (1997). Mx: Statistical modeling (4th ed.). Department of Psychiatry, Medical College of Virginia, http://views.vcu.edu/mx, Richmond, VA.
28. Neale, M., and Cardon, L. (1992). Methodology for genetic studies of twins and families. London: Kluwer Academic Publishers.
29. Neale, M., and Miller, M. (1997). The use of likelihood based confidence intervals in genetic models. Behavior Genetics 27:113-120.
30. Ramakrishnan, V., Meyer, J. M., Goldberg, J., and Henderson, W. G. (1996). Univariate analysis of dichotomous or ordinal data from twin pairs: A simulation study comparing structural equation modeling and logistic regression. Genetic Epidemiology 13:79-90.
31. Scurrah, K. J., Palmer, L. J., and Burton, P. R. (2000). Variance components analysis for pedigree-based censored survival data using generalized linear mixed models (GLMMs) and Gibbs sampling in BUGS. Genetic Epidemiology 19:127-148.
32. Spector, T. D., Cicuttini, F. M., Baker, J., Loughlin, J., and Hart, D. (1996). Genetic influences on osteoarthritis in women: A twin study. British Medical Journal 312:940-943.
33. Spiegelhalter, D. J., Thomas, A., Best, N. G., and Gilks, W. (1997). BUGS: Bayesian Inference using Gibbs Sampling, Version 0.6. Cambridge, UK: MRC Biostatistics Unit.