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Volumn 46, Issue 2, 2006, Pages 820-833

Bayesian modeling of heterogeneous error and genotype X environment interaction variances

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EID: 33644982095     PISSN: 0011183X     EISSN: None     Source Type: Journal    
DOI: 10.2135/cropsci2005.0164     Document Type: Article
Times cited : (45)

References (41)
  • 1
    • 0023586174 scopus 로고
    • Modeling variance heterogeneity in normal regression using GLIM
    • Aitkin, M. 1987. Modeling variance heterogeneity in normal regression using GLIM. Appl. Statist. 36:332-339.
    • (1987) Appl. Statist. , vol.36 , pp. 332-339
    • Aitkin, M.1
  • 2
    • 2642663684 scopus 로고
    • Weighted vs. unweighted mean performance of varieties across environments
    • Bernardo, R. 1992. Weighted vs. unweighted mean performance of varieties across environments. Crop Sci. 32:490-492.
    • (1992) Crop Sci. , vol.32 , pp. 490-492
    • Bernardo, R.1
  • 4
    • 41049093347 scopus 로고
    • The combination of estimates from different experiments
    • Cochran, W.G. 1954. The combination of estimates from different experiments. Biometrics 10:101-129.
    • (1954) Biometrics , vol.10 , pp. 101-129
    • Cochran, W.G.1
  • 5
    • 0001958675 scopus 로고
    • Genotype-environment interactions
    • W.D. Hanson, and H.F. Robinson (ed.) National Academy of Sciences-National Research Council, Washington, DC
    • Comstock, R.E., and R.H. Moll. 1963. Genotype-environment interactions. p. 164-196. In W.D. Hanson, and H.F. Robinson (ed.) Statistical Genetics and plant breeding. National Academy of Sciences-National Research Council, Washington, DC.
    • (1963) Statistical Genetics and Plant Breeding , pp. 164-196
    • Comstock, R.E.1    Moll, R.H.2
  • 6
    • 0004279494 scopus 로고
    • Diagnostics for heteroscedasticity in regression
    • Cook, R.D., and S. Weisberg. 1983. Diagnostics for heteroscedasticity in regression. Biometrika 70:1-10.
    • (1983) Biometrika , vol.70 , pp. 1-10
    • Cook, R.D.1    Weisberg, S.2
  • 7
    • 0001984758 scopus 로고
    • Stability parameters for comparing varieties
    • Eberhart, S.A., and W.A. Russell. 1966. Stability parameters for comparing varieties. Crop Sci. 6:36-40.
    • (1966) Crop Sci. , vol.6 , pp. 36-40
    • Eberhart, S.A.1    Russell, W.A.2
  • 8
    • 84970558538 scopus 로고
    • Analysis of adaptation in a plant-breeding programme
    • Finlay, K.W., and G.N. Wilkinson. 1963. Analysis of adaptation in a plant-breeding programme. Aust. J. Agric. Res. 14:742-754.
    • (1963) Aust. J. Agric. Res. , vol.14 , pp. 742-754
    • Finlay, K.W.1    Wilkinson, G.N.2
  • 9
    • 0010304045 scopus 로고
    • Marginal likelihood and bayesian approaches to the analysis of heterogeneous residual variances in mixed linear gaussian models
    • Foulley, J.L., M.S. Cristobal, D. Gianola, and S. Im. 1992. Marginal likelihood and bayesian approaches to the analysis of heterogeneous residual variances in mixed linear gaussian models. Comput. Statist. Data Anal. 13:291-305.
    • (1992) Comput. Statist. Data Anal. , vol.13 , pp. 291-305
    • Foulley, J.L.1    Cristobal, M.S.2    Gianola, D.3    Im, S.4
  • 10
    • 0031455615 scopus 로고    scopus 로고
    • Genotype by environment variance heterogeneity in a two-stage analysis
    • Frensham, A., B. Cullis, and A. Verbyla. 1997. Genotype by environment variance heterogeneity in a two-stage analysis. Biometrics 53:1373-1383.
    • (1997) Biometrics , vol.53 , pp. 1373-1383
    • Frensham, A.1    Cullis, B.2    Verbyla, A.3
  • 12
    • 0000216284 scopus 로고
    • On selection criteria and estimation of parameters when the variance is heterogeneous
    • Gianola, D. 1986. On selection criteria and estimation of parameters when the variance is heterogeneous. Theor. Appl. Genet. 72:671-677.
    • (1986) Theor. Appl. Genet. , vol.72 , pp. 671-677
    • Gianola, D.1
  • 14
    • 0001614973 scopus 로고
    • Decomposition of prediction error
    • Harville, D.A. 1985. Decomposition of prediction error. J. Am. Statist. Assoc 80:132-138.
    • (1985) J. Am. Statist. Assoc , vol.80 , pp. 132-138
    • Harville, D.A.1
  • 15
    • 84890913931 scopus 로고
    • Maximum likelihood approaches to variance component estimation and to related problems
    • Harville, D.A. 1977. Maximum likelihood approaches to variance component estimation and to related problems. J. Am. Stat. Assoc 72:320-340.
    • (1977) J. Am. Stat. Assoc , vol.72 , pp. 320-340
    • Harville, D.A.1
  • 16
    • 0002783328 scopus 로고
    • Sire evaluation and genetic trends
    • American Society of Animal Science and American Dairy Association, Champaign, IL
    • Henderson, C.R. 1973. Sire evaluation and genetic trends. p. 10-41. In Animal breeding and genetics symposium in honor of Dr. Jay L. Lush. American Society of Animal Science and American Dairy Association, Champaign, IL.
    • (1973) Animal Breeding and Genetics Symposium in Honor of Dr. Jay L. Lush , pp. 10-41
    • Henderson, C.R.1
  • 18
    • 2642646261 scopus 로고    scopus 로고
    • Weighted means are unnecessary in cultivar performance trials
    • Huhn, M. 1997. Weighted means are unnecessary in cultivar performance trials. Crop Sci. 37:1745-1750.
    • (1997) Crop Sci. , vol.37 , pp. 1745-1750
    • Huhn, M.1
  • 19
    • 0034186138 scopus 로고    scopus 로고
    • A link function approach to model heterogeneity of residual variances over time in lactation curve analyses
    • Jaffrezic, F., I.M.S. White, R. Thompson, and W.G. Hill. 2000. A link function approach to model heterogeneity of residual variances over time in lactation curve analyses. J. Dairy Sci. 83:1089-1093.
    • (2000) J. Dairy Sci. , vol.83 , pp. 1089-1093
    • Jaffrezic, F.1    White, I.M.S.2    Thompson, R.3    Hill, W.G.4
  • 20
    • 0001295504 scopus 로고
    • Prediction-interval procedures and (fixed-effects) confidence-interval procedures for mixed linear models
    • Jeske, D.R., and D.A. Harville. 1988. Prediction-interval procedures and (fixed-effects) confidence-interval procedures for mixed linear models. Commun. Statist.-. Theory Meth. 17:1053-1087.
    • (1988) Commun. Statist.-. Theory Meth. , vol.17 , pp. 1053-1087
    • Jeske, D.R.1    Harville, D.A.2
  • 21
    • 70350184453 scopus 로고
    • Approximations for standard errors of estimators of fixed and random effects in mixed linear models
    • Kackar, R.N., and D.A. Harville. 1984. Approximations for standard errors of estimators of fixed and random effects in mixed linear models. J. Am. Statist. Assoc. 79:853-862.
    • (1984) J. Am. Statist. Assoc. , vol.79 , pp. 853-862
    • Kackar, R.N.1    Harville, D.A.2
  • 22
    • 0016473963 scopus 로고
    • A Bayesian approach to the linear-model with unequal variances
    • Leonard, T. 1975. A Bayesian approach to the linear-model with unequal variances. Technometrics 17:95-102.
    • (1975) Technometrics , vol.17 , pp. 95-102
    • Leonard, T.1
  • 23
    • 21144471428 scopus 로고
    • Bayesian-inference for a covariance-matrix
    • Leonard, T., and J.S.J. Hsu. 1992. Bayesian-inference for a covariance-matrix. Ann. Statist. 20:1669-1696.
    • (1992) Ann. Statist. , vol.20 , pp. 1669-1696
    • Leonard, T.1    Hsu, J.S.J.2
  • 24
    • 0033619127 scopus 로고    scopus 로고
    • Innovations in bayes and empirical bayes methods: Estimating parameters, populations and ranks
    • Louis, T.A., and W. Shen. 1999. Innovations in bayes and empirical bayes methods: Estimating parameters, populations and ranks. Stat. Med. 18:2493-2505.
    • (1999) Stat. Med. , vol.18 , pp. 2493-2505
    • Louis, T.A.1    Shen, W.2
  • 25
    • 84950432453 scopus 로고
    • Parametric empirical bayes inference: Theory and applications
    • Morris, C.N. 1983. Parametric empirical bayes inference: Theory and applications. J. Am. Statist. Assoc 78:47-55.
    • (1983) J. Am. Statist. Assoc , vol.78 , pp. 47-55
    • Morris, C.N.1
  • 26
    • 0024062296 scopus 로고
    • Analyzing dispersion effects from replicated factorial-experiments
    • Nair, V.N., and D. Pregibon. 1988. Analyzing dispersion effects from replicated factorial-experiments. Technometrics 30:247-257.
    • (1988) Technometrics , vol.30 , pp. 247-257
    • Nair, V.N.1    Pregibon, D.2
  • 28
    • 0032937154 scopus 로고    scopus 로고
    • Stability analysis using the SAS system
    • Piepho, H.P. 1999. Stability analysis using the SAS system. Agron. J. 91:154-160.
    • (1999) Agron. J. , vol.91 , pp. 154-160
    • Piepho, H.P.1
  • 29
    • 84972496336 scopus 로고
    • That BLUP is a good thing: The estimation of random effects
    • Robinson, G.K. 1991. That BLUP is a good thing: The estimation of random effects. Statist. Sci. 6:15-51.
    • (1991) Statist. Sci. , vol.6 , pp. 15-51
    • Robinson, G.K.1
  • 31
    • 0040459397 scopus 로고
    • Invariant test for homogeneity of variances in a 2-way classification
    • Shukla, G.K. 1972a. Invariant test for homogeneity of variances in a 2-way classification. Biometrics 28:1063-1072.
    • (1972) Biometrics , vol.28 , pp. 1063-1072
    • Shukla, G.K.1
  • 32
    • 0015410801 scopus 로고
    • Some statistical aspects of partitioning genotype-environmental components of variability
    • Shukla, G.K. 1972b. Some statistical aspects of partitioning genotype-environmental components of variability. Heredity 29:237-245.
    • (1972) Heredity , vol.29 , pp. 237-245
    • Shukla, G.K.1
  • 33
    • 0001833787 scopus 로고
    • Generalized linear-models with varying dispersion
    • Smyth, G.K. 1989. Generalized linear-models with varying dispersion. J. Roy. Statist. Soc. Ser. B 51:47-60.
    • (1989) J. Roy. Statist. Soc. Ser. B , vol.51 , pp. 47-60
    • Smyth, G.K.1
  • 34
    • 0036921818 scopus 로고    scopus 로고
    • An efficient algorithm for REML in heteroscedastic regression
    • Smyth, G.K. 2002. An efficient algorithm for REML in heteroscedastic regression. J. Comput. Graph. Statist. 11:836-847.
    • (2002) J. Comput. Graph. Statist. , vol.11 , pp. 836-847
    • Smyth, G.K.1
  • 35
    • 1842434304 scopus 로고    scopus 로고
    • Normal linear models with genetically structured residual variance heterogeneity: A case study
    • Sorensen, D., and R. Waagepetersen. 2003. Normal linear models with genetically structured residual variance heterogeneity: A case study. Genet. Res. 82:207-222.
    • (2003) Genet. Res. , vol.82 , pp. 207-222
    • Sorensen, D.1    Waagepetersen, R.2
  • 37
    • 5444224069 scopus 로고    scopus 로고
    • A Bayesian approach to regional and local-area prediction from crop variety trials
    • Theobald, C.M., M. Talbot, and F. Nabugoomu. 2002. A Bayesian approach to regional and local-area prediction from crop variety trials. J. Agric. Biol. Environ. Statist. 7:403-419.
    • (2002) J. Agric. Biol. Environ. Statist. , vol.7 , pp. 403-419
    • Theobald, C.M.1    Talbot, M.2    Nabugoomu, F.3
  • 38
    • 0000576595 scopus 로고
    • Markov-chains for exploring posterior distributions
    • Tierney, L. 1994. Markov-chains for exploring posterior distributions. Ann. Statist. 22:1701-1728.
    • (1994) Ann. Statist. , vol.22 , pp. 1701-1728
    • Tierney, L.1
  • 39
    • 0001769774 scopus 로고
    • Modeling variance heterogeneity- residual maximum-likelihood and diagnostics
    • Verbyla, A.P. 1993. Modeling variance heterogeneity- residual maximum-likelihood and diagnostics. J. Roy. Statist. Soc. Ser. B 55:493-508.
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 493-508
    • Verbyla, A.P.1
  • 40
    • 0040516741 scopus 로고    scopus 로고
    • Parsimonious estimation of multiplicative interaction in analysis of variance using Kullback-Leibler Information
    • Viele, K., and C. Srinivasan. 2000. Parsimonious estimation of multiplicative interaction in analysis of variance using Kullback-Leibler Information. J. Statist. Plann. Inference 84:201-219.
    • (2000) J. Statist. Plann. Inference , vol.84 , pp. 201-219
    • Viele, K.1    Srinivasan, C.2
  • 41
    • 84906228734 scopus 로고
    • The analysis of groups of experiments
    • Cambridge
    • Yates, F., and W.G. Cochran. 1938. The analysis of groups of experiments. J. Agric. Sci. (Cambridge) 28:556-580.
    • (1938) J. Agric. Sci. , vol.28 , pp. 556-580
    • Yates, F.1    Cochran, W.G.2


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