Table 2. Probabilities inferred from the combined data sets.

To each hypothesis there correspond several rows consisting of (A) the parameters p_i,j given by the maximum-likelihood values, in particular, p₀ (hence one row) in the case of H₀, p_1,CHD and $p_{1,\overline{\text{CHD}}}$ (hence two rows) in the case of H₁; (B) the posterior probability for the occurrence of (CHD, P(CHD|D_SNP, H_i) (hence one row for each hypothesis); (C) the predicted probabilities for the presence of the SNP, namely P(nextSNP, CHD|D_SNP, H_i), $P\left(\text{nextSNP},\overline{\text{CHD}}|D_{\text{SNP}},H_i\right)$ and P(nextSNP|D_SNP, H_i) (hence three rows for each hypothesis); and (D) the probability ratio that measures the influence of CHD in the presence of the SNP, r_nextSNP,CHD ≡ P(nextSNP, CHD|D_SNP, H_i)/P(nextSNP|D_SNP, H_i), computed from the combined data of each phenotype (hence one row for each hypothesis). Column 1: The hypotheses. Column 2: The inferred quantities, as described above. Columns 3–5: The values of the inferred quantities for the combined ethnicity and CHD phenotype.

Hypothesis	Probabilities	Phenotype (j)
		Cauc CS	Cauc MI	Asian CS
H 0	p 0	0.299 ± 0.001	0.284 ± 0.001	0.141 ± 0.001
	P(CHD|DSNP, H0)	(4.00 ± 1.31) ⋅ 10−3	(1.00 ± 0.25) ⋅ 10−3	(4.00 ± 0.91) ⋅ 10−3
	P(nextSNP, CHD|DSNP, H0)	(1.19 ± 0.39) ⋅ 10−3	(0.28 ± 0.07) ⋅ 10−3	(0.56 ± 0.13) ⋅ 10−3
	$P\left(\text{nextSNP},\overline{\text{CHD}}|D_{\text{SNP}},H_0\right)$	0.298 ± 1.093	0.284 ± 1.752	0.141 ± 0.360
	P(nextSNP|DSNP, H0)	0.299 ± 1.093	0.284 ± 1.572	0.141 ± 0.360
	r nextSNP,CHD	(4.00 ± 14.65) ⋅ 10−3	(1.00 ± 5.54) ⋅ 10−3	(4.00 ± 10.22) ⋅ 10−3
H 1	p 1,CHD	0.295 ± 0.001	0.283 ± 0.001	0.158 ± 0.001
	$p_{1,\overline{\text{CHD}}}$	0.305 ± 0.001	0.285 ± 0.001	0.132 ± 0.001
	P(CHD|DSNP, H1)	(3.42 ± 7.94) ⋅ 10−3	(0.98 ± 3.26) ⋅ 10−3	(5.00 ± 7.02) ⋅ 10−3
	P(nextSNP, CHD|DSNP, H1)	(1.00 ± 2.34) ⋅ 10−3	(0.28 ± 0.92) ⋅ 10−3	(0.79 ± 1.11) ⋅ 10−3
	$P\left(\text{nextSNP},\overline{\text{CHD}}|D_{\text{SNP}},H_1\right)$	0.304 ± 0.598	0.285 ± 0.926	0.131 ± 0.244
	P(nextSNP|DSNP, H1)	0.305 ± 0.598	0.285 ± 0.926	0.132 ± 0.244
	r nextSNP,CHD	(3.30 ± 10.02) ⋅ 10−3	(0.98 ± 4.54) ⋅ 10−3	(6.00 ± 13.84) ⋅ 10−3