Genetic Evaluation for Discrete Polygenic Traits in Animal Breeding

Probability statements about the transmitting ability of progeny-tested sires for an all-or-none trait with an application to twinning in cattle

“…Unfortunately, the beta binomial model in its present state of development remains confined to a single population analysis with one random factor (Williams, 1988). Gilmour's approach Although the approach of Gilmour et al, (1985) to the threshold model has its own rationality via its connection to the methodology of generalized linear models and quasi-likelihood, its justification for predicting breeding values as compared to Bayesian methods is still questionable (Foulley et al, 1988;Knuiman & Laird, 1988 Curnow, 1984) especially when looking a priori at this issue with no specific progeny-test results.…”

“…Three methods (referred to as I, II and III) will be described in relation to recent works in this area. The first method is based on the beta binomial model (Im, 1982) and the two other ones on Bayesian approaches (Foulley et al, 1988) to the threshold-liability model due to Wright (1934 a and b). All three methods assume a conditional binomial distribution B (n, T r) of binary outcomes (i.e.…”

Longitudinal random effects models for genetic analysis of binary data with application to mastitis in dairy cattle

“…Although continuous repeated measurements over time (e.g., test day milk yield) have received a lot of emphasis in the last decade ( [8,12,13]), little attention has been devoted towards longitudinal binary responses. Most research done with binary data has focused on cross-sectional data, where only a single response is screened in each animal ( [7,9,10,15]). However, a single response is frequently a summary of performance over a period of time.…”

Approches statistiques de l'évaluation génétique des reproducteurs pour des caractères binaires à seuils

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(1985)(1986)(1987) (Gianola, 1982;Foulley, 1987;Im et al, 1987;Foulley et al, 1990a (Fraser, 1980). Wright (1943a,b) (Meijering, 1984(Meijering, , 1986Djemali et al, 1987; Quaas et al, 1988;Hagger et Hoffer, 1990;Manfredi et al, 1991aManfredi et al, , 1991b, la taille de portée et la survie des agneaux (Petersson et Danell, 1985;Bodin et Elsen, 1989), La gémellité des bovins (Manfredi et al, 1990(Manfredi et al, , 1991c Ron et al, 1990), la morphologie des pieds (Gilmour et al, 1987) (Brillinger, 1985), à la théorie des sondages (Grosbas, 1987), à la psychologie, aux sciences sociales (Hammerle, 1990)

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“…These methods are : 1), the linear approach of Grizzle, Starmer and Koch (1969) and its Bayesian extension to a mixed model; l), the quasi-likelihood approach to the generalized linear model as proposed by Gilmour et al (1985Gilmour et al ( -1987, and 3), the Bayesian method (joint mode a posteriori-MAP) of Gianola and Foulley (1983 (Gianola, 1982;Foulley, 1987;Im et al, 1987;Foulley et al, 1990a). Quant aux algorithmes de calcul du REML, l'application de ceux-ci aux variables discrètes ne répond qu'à des motifs d'opportunité calculatoire.…”