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. 2013 Oct 9;8(10):e75749. doi: 10.1371/journal.pone.0075749

Table 2. Estimated marginal posterior mean for variance components and major gene parameters of ln(SI) using polygenic and mixed inheritance models in Bayesian segregation analysis1.

Model2 Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic loge [p(y/Hi)] 3 Model tested BF(H2; H1)4
1. General 0.011 0.110 3.408 1.36 −1.21 0.58 0.85 0.46 0.15 0.90 1,378.0 1 vs. 2 487.1
2. General fixed 0.087 [0] 35.834 5.72 −5.99 0.73 0.99 0.28 0.02 [0] 890.8 2 vs. 3 315.3
3. Sporadic 0.156 [0] [0] [0] [0] [0.0] [0.0] [0.0] [0.0] [0] 575.5 4 vs. 3 715.4
4. Polygenic 0.017 0.131 [0] [0] [0] [0.0] [0.0] [0.0] [0.0] 0.88 1,290.9 7 vs. 5 140.4
5. Dominant A2 0.015 0.121 0.055 0.23 0.23 0.45 [1.0] [0.5] [0.0] 0.89 1,354.3 5 vs. 1 −23.7
6. Additive 0.015 0.107 0.035 0.29 [0] 0.55 [1.0] [0.5] [0.0] 0.87 1,337.6 6 vs. 1 −40.4
7. Dominant A1 0.010 0.110 0.031 0.20 −0.20 0.52 [1.0] [0.5] [0.0] 0.91 1,494.7 7 vs. 1 116.8
8. Codominant 0.012 0.115 0.405 1.18 −0.13 0.46 [1.0] [0.5] [0.0] 0.90 1,343.2 8 vs. 1 −34.8
1

Bayesian segregation analysis of ln(SI) performed with software iBay version 1.46 [20]. The Gibbs sampler had these characteristics: number of iterations per chain = 1,200,000; burn-in period = 600,000; thinning = 10,000; collected samples per chain = 60; total chains = 20; and total collected samples = 1,200.

2

Model parameters: error variance Inline graphic; polygenic variance Inline graphic; major gene variance Inline graphic; major gene additive effect Inline graphic; major gene dominance effect Inline graphic; Inline graphicis frequency of spleen size-decreasing allele A1; Inline graphic is the polygenic model heritability Inline graphic; and transmission probabilities Inline graphic defined as the probability that a parent with any of the three genotypes Inline graphic transmits the allele Inline graphic to its offspring.

3

log e of the marginal density under the fitted model Hi.

4

Bayes factor BF(H2; H1) = p(y/H2)/p(y/H1) is the ratio of the marginal likelihood under one model to the marginal likelihood under a second model, and H1 and H2 are the two competing models.

5

Value between squared brackets indicates the parameter was fixed to the value shown.