Statistical Inference in Mixed Models and Analysis of Twin and Family Data

Biometrics

Volumn 67, Issue 3, 2011, Pages 987-995

  Wang, Xueqin ^a,b   Guo, Xiaobo ^a   He, Mingguang ^a   Zhang, Heping ^a,c  

^a SUN YAT SEN UNIVERSITY   (China)

^b SUN YAT SEN UNIVERSITY   (China)

^c YALE UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Cholesky decomposition; Likelihood ratio test; Mixed effects models; Parent twin quartet; SAS PROC MIXED

Indexed keywords

DATA HANDLING; INFORMATION ANALYSIS;

CHOLESKY DECOMPOSITION; LIKELIHOOD RATIO TESTS; MIXED ANALYSIS; MIXED EFFECTS MODELS; MIXED MODELING; MODELLING AND ANALYSIS; PARENT-TWIN QUARTET; PROC MIXED; SAS PROC MIXED; STATISTICAL INFERENCE;

COMPUTATION THEORY;

COMPUTER SIMULATION; DATA SET; DISEASE PREVALENCE; ESTIMATION METHOD; HERITABILITY; IDENTIFICATION METHOD; NUMERICAL MODEL; SOFTWARE; STATISTICAL ANALYSIS; THEORETICAL STUDY;

EID: 80052804668     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2010.01548.x     Document Type: Article

References (29)

1. Becker, R. A., Chambers, J. M., and Wilks, A. R. (1988). The New S Language. Pacific Grove, California Wadsworth & Brooks/Cole.
2. Dominicus, A., Skrondal, A., Gjessing, H. K., Pedersen, N. L., and Palmgren, J. (2006). Likelihood ratio tests in behavioral genetics: Problems and solutions. Behavior Genetics 36, 331-340.
3. Falconer, D. S. and MacKay, T. F. C. (1996). Introduction to Quantitative Genetics, 4th edition. Harlow, Essex, UK Longmans Green.
4. Feng, R., Zhou, G., Zhang, M., and Zhang, H. (2009). Analysis of twin data using SAS. Biometrics 65, 584-589.
5. Golub, G. and Van Loan, C. (1996). Matrix Computations. 3rd edition. Baltimore, Maryland The Johns Hopkins University Press.
6. Guo, G. and Wang, J. (2002). The mixed or multilevel model for behavior genetic analysis. Behavior Genetics 32, 37-49.
7. Ha, I. D., Lee, Y., and Pawitan, Y. (2007). Genetic mixed linear models for twin survival data. Behavior Genetics 37, 621-630.
8. He, M., Foster, P. J., Ge, J., Huang, W., Zheng, Y., Friedman, D. S., Lee, P. S., and Khaw, P. T. (2006a). Prevalence and clinical characteristics of glaucoma in adult Chinese: A population-based study in Liwan District, Guangzhou. Investigative Ophthalmology and Visual Science 47, 2782-2788.
9. He, M., Foster, P. J., Ge, J., Huang, W., Wang, D., Friedman, D. S., and Khaw, P. T. (2006b). Gonioscopy in adult Chinese: The Liwan Eye Study. Investigative Ophthalmology and Visual Science 47, 4772-4779.
10. He, M., Foster, P. J., Johnson, G. J., and Khaw, P. T. (2006c). Angle-closure glaucoma in East Asian and European people: Different diseases? Eye 20, 3-12.
11. He, M., Ge, J., Wang, D., Zhang J., Hewitt, A. W., Hur, Y. M., Mackey, D. A., and Foster, P. J. (2008a). Heritability of the iridotrabecular angle width measured by optical coherence tomography in Chinese children: The Guangzhou Twin Eye Study. Investigative Ophthalmology and Visual Science 49, 1356-1361.
12. He, M., Wang, D., Zheng, Y., Zhang, J., Yin, Q., Huang, W., Mackey, D. A., and Foster, P. J. (2008b). Heritability of anterior chamber depth as an intermediate phenotype of angle-closure in Chinese: The Guangzhou Twin Eye Study. Investigative Ophthalmology and Visual Science 49, 81-86.
13. Higham, N. J. (1990). Analysis of the Cholesky decomposition of a semi-definite matrix. In Reliable Numerical Computation, M.G. Cox and S. Hammarling (eds.), pp. 161-185. Oxford: Oxford University Press.
14. Jöreskog, K. G. and Sörbom, D. (1986). Lisrel VI. Mooresville, Indiana Scientific Software.
15. Keller, M. C. and Coventry, W. L. (2005). Quantifying and addressing parameter indeterminacy in the Classical Twin Design. Twin Research and Human Genetics 8, 201-213.
16. Littell, R. C., Milliken, G. A., Stroup, W. W., Wolfinger, R. D., and Schabenberger, O. (2006). SAS for Mixed Models, 2nd edition. Cary, North Carolina SAS Institute.
17. McArdle, J. J. (2006). Latent curve analyses of longitudinal twin data using a mixed-effects biometric approach. Twin Resesrch Human Genetics 9, 343-359.
18. McArdle, J. J. and Prescott, C. A. (2005). Mixed-effects variance components models for biometric family analyses. Behavior Genetics 35, 631-652.
19. Muthén, L. K. and Muthén, B. O. (1998). Mplus User's Guide. Los Angeles, California Muthén & Muthén.
20. Neale, M. C. and Cardon, L. R. (1992). Methodology for Genetic Studies of Twins and Families. Dordrecht, the Netherlands Kluwer Academic.
21. Neale, M. C., Heath, A. C., Hewitt, J. K., Eaves, L. J., and Fulker, D. W. (1989). Fitting genetic models with LISREL: Hypothesis testing. Behavior Genetics 19, 37-49.
22. Neale, M. C., Boker, S. M., Xie, G., and Maes, H. H. (1999). Mx:Statistical Modeling. Richmond Department of Psychiatry, Medical College of Virginia of Virginia Commonwealth University.
23. Pawitan, Y., Reilly, M., Nilsson, E., Cnattingius, S., and Lichtenstein, P. (2004). Estimation of genetic and environmental factors for binary traits using family data. Statistics in Medicine 23, 449-465.
24. Rabe-Hesketh, S. and Skrondal, A. (2001). Parameterization of multivariate random effects models for categorical data. Biometrics 57, 1256-1264.
25. Rabe-Hesketh, S., Skrondal, A., and Gjessing, H. K. (2008). Biometrical modeling of twin and family data using standard mixed model software. Biometrics 64, 280-288.
26. Self, S. G. and Liang, K. L. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. Journal of the American Statistical Association 82, 605-610.
27. Stram, D. O. and Lee, J. W. (1994). Variance components testing in the longitudinal mixed effects model. Biometrics 50, 1171-1177.
28. Stram, D. O. and Lee, J. W. (1995). Correction to "Variance components testing in the longitudinal mixed effects model" by D.O. Stram and J.W. Lee, 50, 1171-1177, 1994. Biometrics 51, 1196-1196.
29. Visscher, P. M. (2006). A note on the asymptotic distribution of likelihood ratio tests to test variance components. Twin Research and Human Genetics 9, 490-495.