1950
DOI: 10.1093/genetics/35.2.212
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Heritability of Threshold Characters

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Cited by 687 publications
(117 citation statements)
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“…Heritabilities from the threshold model on the underlying liability scale were slightly larger than the estimates from the linear models on the observed scale. Such results reflect the theoretical expectations from threshold model applications (Dempster and Lerner, 1950) and results based on real data (e.g., Andersen-Ranberg et al, 2005). Freund und Walpole (1980) argued that estimates of parameters for categorical traits from linear models are unbiased when nπ is greater than 5; with π denoting the incidence of a disease and n denoting the number of observations in the smallest subclass for a fixed effect.…”
Section: Heritabilities For Uterine Disease Traits and Genetic Correlations With 305-d Lactation And Fertility Traitssupporting
confidence: 71%
“…Heritabilities from the threshold model on the underlying liability scale were slightly larger than the estimates from the linear models on the observed scale. Such results reflect the theoretical expectations from threshold model applications (Dempster and Lerner, 1950) and results based on real data (e.g., Andersen-Ranberg et al, 2005). Freund und Walpole (1980) argued that estimates of parameters for categorical traits from linear models are unbiased when nπ is greater than 5; with π denoting the incidence of a disease and n denoting the number of observations in the smallest subclass for a fixed effect.…”
Section: Heritabilities For Uterine Disease Traits and Genetic Correlations With 305-d Lactation And Fertility Traitssupporting
confidence: 71%
“…To compare the heritability estimates from the linear models with the estimates from the Bayesian threshold models, the results of the linear models were converted to the underlying normally distributed liability scale, as described by Dempster and Lerner [ 11 ] (Table 3 ).…”
Section: Resultsmentioning
confidence: 99%
“…The heritabilities from the threshold models are expressed on the underlying scale. For comparison with the results from the linear model, the estimated heritabilities from the linear models were converted to the underlying normally distributed scale by the formula by Dempster and Lerner [ 11 ]: where:…”
Section: Methodsmentioning
confidence: 99%
“…The effect size of risk loci for OA, as for many common polygenic diseases but not for Mendelian diseases, is quite small and therefore the “liability threshold” model can be applied to OA. This model considers that the higher the number of risk variants an individual harbors beyond a threshold number, the higher the susceptibility to develop the disease 44 . Another interesting aspect is the fact that, as in many other common diseases, most of the GWAS signals have been reported in non-coding regions of the genome 34 .…”
Section: Genome-wide Association Studiesmentioning
confidence: 99%