메뉴 건너뛰기




Volumn 53, Issue 2, 1997, Pages 653-665

General formulas for obtaining the MLEs and the asymptotic variance- covariance matrix in mapping quantitative trait loci when using the EM algorithm

Author keywords

Asymptotic variance covariace matrix; EM algorithm; Epistasis; Gene mapping; General formulas; Heritability; Maximum likelihood; Normal mixture model; Quantitative trait loci

Indexed keywords

ASYMPTOTIC ANALYSIS; COVARIANCE MATRIX; MAXIMUM LIKELIHOOD ESTIMATION; PLANTS (BOTANY);

EID: 0030948878     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533965     Document Type: Article
Times cited : (117)

References (28)
  • 3
    • 0028815909 scopus 로고
    • Molecular genetics of growth and development in Populus. IV. Mapping QTLs with large effects on growth, form, and phenology traits in a forest tree
    • Bradshaw, H. D., Jr. and Stettler, R. F. (1995). Molecular genetics of growth and development in Populus. IV. Mapping QTLs with large effects on growth, form, and phenology traits in a forest tree. Genetics 139, 964-973.
    • (1995) Genetics , vol.139 , pp. 964-973
    • Bradshaw H.D., Jr.1    Stettler, R.F.2
  • 4
    • 0026520397 scopus 로고
    • Interval mapping in the analysis of nonadditive quantitative trait loci
    • Carbonell, E. A., Gerig, T. M., Balansard, E., and Asins, M. J. (1992). Interval mapping in the analysis of nonadditive quantitative trait loci. Biometrics 48, 305-315.
    • (1992) Biometrics , vol.48 , pp. 305-315
    • Carbonell, E.A.1    Gerig, T.M.2    Balansard, E.3    Asins, M.J.4
  • 5
    • 0027278088 scopus 로고
    • Detecting marker-QTL linkage and estimating QTL gene effect and map location using a saturated genetic map
    • Darvasi, A., Weinreb, A., Minke, V., Weller, J. I., and Soller, M. (1993). Detecting marker-QTL linkage and estimating QTL gene effect and map location using a saturated genetic map. Genetics 134, 943-951.
    • (1993) Genetics , vol.134 , pp. 943-951
    • Darvasi, A.1    Weinreb, A.2    Minke, V.3    Weller, J.I.4    Soller, M.5
  • 8
    • 0028659217 scopus 로고
    • On the likelihood ratio test statistic for the number of components in a normal mixture with unequal variances
    • Feng, Z. D. and McCulloch, C. E. (1994). On the likelihood ratio test statistic for the number of components in a normal mixture with unequal variances. Biometrics 50, 1158-1162.
    • (1994) Biometrics , vol.50 , pp. 1158-1162
    • Feng, Z.D.1    McCulloch, C.E.2
  • 9
    • 33646942472 scopus 로고
    • A simple regression method for mapping quantitative trait in line crosses using flanking markers
    • Haley, C. S. and Knott, S. A. (1992). A simple regression method for mapping quantitative trait in line crosses using flanking markers. Heredity 69, 315-324.
    • (1992) Heredity , vol.69 , pp. 315-324
    • Haley, C.S.1    Knott, S.A.2
  • 10
    • 0028926321 scopus 로고
    • Interval mapping of high growth (hg), a major locus that increases weight gain in mice
    • Horvat, S. and Medrano, J. F. (1995). Interval mapping of high growth (hg), a major locus that increases weight gain in mice. Genetics 139, 1737-1748.
    • (1995) Genetics , vol.139 , pp. 1737-1748
    • Horvat, S.1    Medrano, J.F.2
  • 11
    • 0001204533 scopus 로고
    • A general mixture model for mapping quantitative trait loci by using molecular markers
    • Jansen, R. C. (1992). A general mixture model for mapping quantitative trait loci by using molecular markers. Theoretical and Applied Genetics 85, 252-260.
    • (1992) Theoretical and Applied Genetics , vol.85 , pp. 252-260
    • Jansen, R.C.1
  • 12
    • 0027247860 scopus 로고
    • Interval mapping of multiple quantitative trait loci
    • Jansen, R. C. (1993). Interval mapping of multiple quantitative trait loci. Genetics 135, 205-211.
    • (1993) Genetics , vol.135 , pp. 205-211
    • Jansen, R.C.1
  • 14
    • 0024508964 scopus 로고
    • Mapping Mendelian factors underlying quantitative traits using RFLP linkage maps
    • Lander, E. S. and Botstein, D. (1989). Mapping Mendelian factors underlying quantitative traits using RFLP linkage maps. Genetics 121, 185-199.
    • (1989) Genetics , vol.121 , pp. 185-199
    • Lander, E.S.1    Botstein, D.2
  • 16
    • 0029864875 scopus 로고    scopus 로고
    • Genetic analysis of a morphilogical shape difference in the male genitalia of Drosophite simulans and D. mauritiana
    • Liu, J., Mercer, J. M., Stem, L. F., Gibson, G. C., Zeng, Z.-B., and Laurie, C. C. (1996). Genetic analysis of a morphilogical shape difference in the male genitalia of Drosophite simulans and D. mauritiana. Genetics 142, 1129-1145.
    • (1996) Genetics , vol.142 , pp. 1129-1145
    • Liu, J.1    Mercer, J.M.2    Stem, L.F.3    Gibson, G.C.4    Zeng, Z.-B.5    Laurie, C.C.6
  • 17
    • 0001044972 scopus 로고
    • Finding the observed information matrix when using the EM algorithm
    • Louis, T. A. (1982). Finding the observed information matrix when using the EM algorithm. Journal of Royal Statistical Society, Series B 44, 226-233.
    • (1982) Journal of Royal Statistical Society, Series B , vol.44 , pp. 226-233
    • Louis, T.A.1
  • 18
    • 0023570352 scopus 로고
    • On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture
    • McLachlan, G. J. (1987). On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture. Applied Statistics 36, 318-324.
    • (1987) Applied Statistics , vol.36 , pp. 318-324
    • McLachlan, G.J.1
  • 19
    • 0000251971 scopus 로고
    • Maximum likelihood estimation via the ECM algorithm: A general framework
    • Meng, X.-L. (1993). Maximum likelihood estimation via the ECM algorithm: A general framework. Biometrika 80, 267-278.
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.-L.1
  • 20
    • 21344477603 scopus 로고
    • On the rate of convergence of the ECM algorithm
    • Meng, X.-L. (1994). On the rate of convergence of the ECM algorithm. The Annals of Statistics 22, 326-339.
    • (1994) The Annals of Statistics , vol.22 , pp. 326-339
    • Meng, X.-L.1
  • 21
    • 84864615423 scopus 로고
    • Using EM to obtain asymptotic variance-covariance matrices: The SEM algorithm
    • Meng, X.-L. and Rubin, D. B. (1991). Using EM to obtain asymptotic variance-covariance matrices: The SEM algorithm. Journal of the American Statistical Association 86, 899-909.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 899-909
    • Meng, X.-L.1    Rubin, D.B.2
  • 22
    • 0026074820 scopus 로고
    • Mendelian factor underlying quantitative trait in tomato: Comparison across species, generation, and environment
    • Paterson, A. H., Damon, S., Hewitt, J. D., Zamir, D., Rabinowitch, H. D., Lincoln, S. E., Lander, E. S., and Tanksley, S. D. (1991). Mendelian factor underlying quantitative trait in tomato: Comparison across species, generation, and environment. Genetics 127, 181-197.
    • (1991) Genetics , vol.127 , pp. 181-197
    • Paterson, A.H.1    Damon, S.2    Hewitt, J.D.3    Zamir, D.4    Rabinowitch, H.D.5    Lincoln, S.E.6    Lander, E.S.7    Tanksley, S.D.8
  • 23
    • 0026670272 scopus 로고
    • Identification of genetic factors contributing to heterosis in a hybrid from two elite maize inbred lines using molecular marker
    • Stuber, C. W., Lincoln, S. E., Woff, D. W., Helentjaris, T., and Lander, E. S. (1992). Identification of genetic factors contributing to heterosis in a hybrid from two elite maize inbred lines using molecular marker. Genetics 132, 832-839.
    • (1992) Genetics , vol.132 , pp. 832-839
    • Stuber, C.W.1    Lincoln, S.E.2    Woff, D.W.3    Helentjaris, T.4    Lander, E.S.5
  • 24
    • 0001438015 scopus 로고
    • Location of polygenes
    • Thoday, J. M. (1960). Location of polygenes. Nature 191, 368-370.
    • (1960) Nature , vol.191 , pp. 368-370
    • Thoday, J.M.1
  • 25
    • 0024205303 scopus 로고
    • Simulated percentage points for the null distribution of the likelihood ratio test for a mixture of two normal
    • Thode, H. C., Jr., Finch, S. J., and Mendell, N. R. (1988). Simulated percentage points for the null distribution of the likelihood ratio test for a mixture of two normal. Biometrics 44, 1195-1201.
    • (1988) Biometrics , vol.44 , pp. 1195-1201
    • Thode H.C., Jr.1    Finch, S.J.2    Mendell, N.R.3
  • 27
    • 0027363428 scopus 로고
    • Theoretical basis for separation of multiple linked gene effects in mapping of quantitative trait loci
    • Zeng, Z.-B. (1993). Theoretical basis for separation of multiple linked gene effects in mapping of quantitative trait loci. Proceedings of the National Academy of Science 90, 10972-10976.
    • (1993) Proceedings of the National Academy of Science , vol.90 , pp. 10972-10976
    • Zeng, Z.-B.1
  • 28
    • 0028224156 scopus 로고
    • Precision mapping of quantitative trait loci
    • Zeng, Z.-B. (1994). Precision mapping of quantitative trait loci. Genetics 136, 1457-1468.
    • (1994) Genetics , vol.136 , pp. 1457-1468
    • Zeng, Z.-B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.