Monte Carlo Bayesian methods for quantitative traits

Computational Statistics and Data Analysis

Volumn 31, Issue 1, 1999, Pages 89-108

  Lin, Shili ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Bayesian analysis; Complex segregation analysis; Linkage analysis; Markov chain; Mixed model; Monte Carlo

Indexed keywords

COMPUTER SIMULATION; DATA STRUCTURES; MARKOV PROCESSES; MONTE CARLO METHODS; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS;

BAYESIAN ANALYSIS; COMPLEX SEGREGATION ANALYSIS; LINKAGE ANALYSIS; MIXED MODEL; QUANTITATIVE TRAITS;

DATA REDUCTION;

STATISTICAL ANALYSIS;

EID: 0032706928     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(99)00006-7     Document Type: Article

References (20)

1. Elston R.C., Stewart J. A general model for the genetic analysis of pedigree data. Hum. Hered. 21:1971;523-542.
2. Elston R.C., Namboodiri K.K., Glueck C.J., Fallat R., Tsang R., Leuba V. Study of the genetic transmission of hypercholesterolemia and hypertriglyceridemia in a 195 member kindred. Am. J. Hum. Genet. 39:1975;67-83.
3. Elston, R.C., Namboodiri, K.K., Go, R.C.P., Siervogel, R.M., Glueck, C.J., 1976. Probable linkage between essential familial hypercholesterolemia and third complement component (C3). In: HGM3; Birth Defects Original Articles Series, vol. 12, no. 7, The National Foundation, New York, 294-297.
4. Gauderman W.J., Witte J.S., Faucett C.L., Morrison J., Thomas D.C. Genetic epidemiologic analysis of quantitative phenotypes using Gibbs sampling. Genet. Epidemiol. 12:1995;753-758.
5. Geman S., Geman D. Stochastic relaxation, Gibbs distribution, and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Machine Intell. 6:1984;721-741.
6. Guo S.W., Thompson E.A. Monte Carlo estimation of mixed models for large complex pedigrees. Biometrics. 50:1994;417-432.
7. Hasstedt, S.J., Cartwright, P., 1981. PAP - Pedigree Analysis Package. Technical Report 13, Department of Medical Biophysics and Computing, University of Utah, Salt Lake City.
8. Hastings W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika. 57:1970;97-109.
9. Henderson C.R. A simple method for computing the inverse of a numerator relationship matrix used in prediction of breeding values. Biometrics. 32:1976;69-83.
10. Lin S. Multipoint linkage analysis via Metropolis jumping kernels. Biometrics. 52:1996;299-309.
11. Lin S., Thompson E.A., Wijsman E.M. Finding noncommunicating sets for Markov chain Monte Carlo estimations on pedigrees. Am. J. Hum. Gene. 54:1994;695-704.
12. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H., Teller E. Equation of state calculation by fast computing machines. J. Chem. Phys. 21:1953;1087-1092.
13. Morton N.E., MacClean C.J. Analysis of family resemblance. III. Complex segregation of quantitative traits. Am. J. Human. Genet. 26:1974;489-503.
14. Olshen A.B., Wijsman E.M. Pedigree Analysis package vs. MIXD: Fitting the mixed model on a large pedigree. Genet. Epidemiol. 13:1995;91-106.
15. Satagopan J.M., Yandell Y.S., Newton M.A., Osborn T.C. A Bayesian approach to detect quantitative trait loci using Markov chain Monte Carlo. Genetics. 144:1996;805-816.
16. Stephens D.A., Smith A.F.M. Bayesian inference in multipoint gene mapping. Ann. Hum. Genet. 57:1993;65-82.
17. Thomas D.C., Cortessis V. A Gibbs sampling approach to linkage analysis. Hum. Hered. 42:1992;63-76.
18. Thompson E.A. Monte Carlo likelihood in genetic mapping. Statist. Sci. 9:1994;355-366.
19. Thompson E.A., Lin S., Olshen A.B., Wijsman E.M. Monte Carlo analysis of a large hypercholesterolemia pedigree. Genet. Epidemiol. 10:1993;677-682.
20. Uimari P., Thaller G., Hoeschele I. The use of multiple markers in a Bayesian method for mapping quantitative trait loci. Genetics. 143:1996;1831-1842.