The use of multiple markers in a Bayesian method for mapping quantitative trait loci

Genetics

Volumn 143, Issue 4, 1996, Pages 1831-1842

  Uimari, Pekka ^a   Thaller, Georg ^a,b   Hoeschele, Ina ^a  

^a MONTANA STATE UNIVERSITY   (United States)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; BAYES THEOREM; CHROMOSOMAL LOCALIZATION; GENE LOCUS; GENE MAPPING; GENETIC LINKAGE; GENETIC MARKER; GENETIC VARIABILITY; GENOTYPE; PRIORITY JOURNAL; PROBABILITY; QUANTITATIVE TRAIT; REVIEW; STATISTICAL ANALYSIS; SYSTEM ANALYSIS;

ALGORITHMS; ANIMALS; BAYES THEOREM; CHROMOSOME MAPPING; FEMALE; GENETIC MARKERS; GENOTYPE; HUMANS; LINKAGE (GENETICS); MALE; MARKOV CHAINS; MODELS, GENETIC; MONTE CARLO METHOD;

EID: 0029799785     PISSN: 00166731     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (36)

1. ALBERT, J. H., and S. CHIB, 1994 Bayesian model checking for binary and categorical response data. Technical Report, Department of Mathematics and Statistics, Bowling Green University, OH.
2. CARLIN, J. B., 1992 Meta-analysis for 2×2 tables: a Bayesian approach. Stat. Med. 11: 141-159.
3. CARLIN, B. P., and S. CHIB, 1995 Bayesian model choice via Markovchain Monte Carlo methods. J. R. Stat. Soc. Ser. B 57: 473-484.
4. CARLIN, B. P., and N. G. POLSON, 1991 Inference for nonconjugate Bayesian models using the Gibbs sampler. Can. J. Stat. 19: 399-405.
5. CHIB, S., and E. GREENBERG, 1995 Understanding the Metropolis-Hastings algorithm. Am. Stat. 49: 327-335.
6. CHURCHILL, G., and R. DOERGE, 1994 Empirical threshold values for quantitative trait mapping. Genetics 138: 963-971.
7. DEVROYE, L., 1986 Non-uniform Random Variate Generation. Springer-Verlag Inc., New York.
8. GELMAN, A., and D. B. RUBIN, 1992 Inference from iterative simulation using multiple sequences (with discussion), pp. 457-511 in Bayesian Statistics 4, edited by J. M. BERNARDO, J. O. BERGER, A. P. DAWID and A. F. M. SMITH. Clarendon Press, Oxford.
9. GEORGE, E. I., and R. E. MCCULLOCH, 1993 Variable selection via Gibbs sampling. J. Am. Stat. Assoc. 88: 881-889.
10. GEYER, C. J., 1992 Practical Markov chain Monte Carlo (with discussion). Stat. Sci. 7: 467-511.
11. GILKS, W. R., and P. WILD, 1992 Adaptive rejection sampling for Gibbs sampling. Appl. Stat. 41: 337-348.
12. GILKS, W. R., N. G. BEST and K. K. C. TAN, 1995 Adaptive rejection Metropolis sampling within Gibbs sampling. Appl. Stat. 44: 455-472.
13. GODDARD, M., 1992 A mixed model for analyses of data on multiple genetic markers. Theor. Appl. Genet. 83: 878-886.
14. GREEN, P. J., 1995 Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82: 711-732.
15. GUO, S. W., and E. A. THOMPSON, 1992 A monte carlo method for combined segregation and linkage analysis. Am. J. Hum. Genet. 51: 1111-1126.
16. HOBERT, J. P., and G. CASELLA, 1994 Gibbs sampling with improper prior distributions. Technical Report BU-1221-M, Biometrics Unit, Cornell University, Ithaca, NY.
17. HOESCHELE, I., and P. M. VANRADEN, 1993a Bayesian analysis of linkage between genetic markers and quantitative trait loci. I. Prior knowledge, theor. Appl. Genet. 85: 953-960.
18. HOESCHELE, I., and P. M. VANRADEN, 1993b Bayesian analysis of linkage between genetic markers and quantitative trait loci. II. Combining prior knowledge with experimental evidence. Theor. Appl. Genet. 85: 946-952.
19. JANSS, L. L. G., R. THOMPSON and J. A. M. VAN ARENDONK, 1995 Application of Gibbs sampling in a mixed major gene-polygenic inheritance model in animal populations. Theor. Appl. Genet. 91: 1137-1147.
20. KNOTT, S. A., and G. S. HALEY, 1992 Aspects of maximum likelihood methods for the mapping of quantitative trait loci in line crosses. Genet. Res. Camb. 60: 139-151.
21. KUO, L., and B. MALLICK, 1995 Variable selection for regression models. Technical Report, Department of Statistics, University of Connecticut.
22. MENG, X.-L., and W. H. WONG, 1993 Simulating ratios of normalizing constants via a simple identity: a theoretical exploration. Technical Report No. 365, Department of Statistics, The University of Chicago, Chicago, IL.
23. NEWTON, M. A., and A. E. RAFTERY 1994 Approximate Bayesian inference with the weighted likelihood bootstrap. J. R. Statist. Soc. Ser. B 56: 3-48.
24. SATAGOPAN, J. M., B. S. YANDELL, M. A. NEWTON and T. C. OSBORN, 1996 Markov chain Monte Carlo approach to detect polygene loci for complex traits. Genetics (in press).
25. SCOTT, W. D., 1992 Multivariate Density Estimation. Wiley and Sons, New York.
26. SORENSEN, D. A., S. ANDERSEN, D. GIANOLA and I. KORSGAARD, 1995 Bayesian inference in threshold models using Gibbs sampling. Genet. Sel. Evol. 27: 229-249.
27. STEPHENS, D. A., and A. F. M. SMITH, 1993 Bayesian inference in multipoint gene mapping. Ann. Hum. Genet. 57: 65-82.
28. TANNER, M. A., and W. H. WONG, 1987 The calculation of posterior distributions by data augmentation. J. Amer. Statist. Assoc. 82: 528-540.
29. THALLER, G., and I. HOESCHELE, 1996a A Monte Carlo method for Bayesian analysis of linkage between single markers and quantitative trait loci: I. Methodology. Theor. Appl. Genet, (in press).
30. THALLER, G., and I. HOESCHELE, 1996b A Monte Carlo method for Bayesian analysis of linkage between single markers and quantitative trait loci: II. A simulation study. Theor. Appl. Genet. (in press).
31. THOMAS, D. C., and V. CORTESSIS, 1992 A Gibbs sampling approach to linkage analysis. Hum. Hered. 42: 63-76.
32. TIERNEY, L., 1994 Markov chains for exploring posterior distributions (with discussion). Ann. Stat. 22: 1701-1762.
33. VANRADEN, P. M., and G. R. WIGGANS, 1991 Derivation, calculation and use of national animal model information. J. Dairy Sci. 74: 2737-2746.
34. WAKEFIELD, J. C., A. E. GELFAND and A. F. M. SMITH, 1991 Efficient generation of random variates via the ratio-of-uniforms method. Stat. Comput. 1: 129-133.
35. WANG, C. S., J. J. RUTLEDGE and D. GIANOLA, 1993 Marginal inferences about variance components in a mixed linear model using Gibbs sampling. Genet. Sel. Evol. 25: 41-62.
36. WELLER, J. I., Y. KASHI and M. SOLLER, 1990 Power of daughter and granddaughter designs for determining linkage between marker loci and quantitative trait loci in dairy cattle. J. Dairy Sci. 73: 2525-2537.