Table 1.
(a) Analysis results for the MECC study data with statins (E), G1 RS1800775 on CETP and G2 RS1056836 on CYP1B1. The model adjusts age (S1, ‘¿50’=1, ‘≤ 50’=0), gender (S2, male=1, female=0), ethnicity (S3, Ashkenazi=1, Non-Ashkenazi=0), sports activity (S4, Yes=1, No=0), vegetable consumption (S5, High=1, Low=0), family history of CRC (S6, Yes=1, No=0), the use or non-use of NSAID within 3 years(S7, Yes=1, No=0), the use or non-use of Aspirin within 3 years (S8, Yes=1, No=0). Under the TPFB method the ‘est.’ corresponds to the posterior mean whereas PSD corresponds to posterior standard deviation. The methods that yield the smallest PSD are in bold font in each row.
| TPFB | TPFBemp | WL | PL | UML | CML | EB | |
|---|---|---|---|---|---|---|---|
| est.(PSD) | est.(PSD) | est.(se) | est.(se) | est.(se) | est.(se) | est.(se) | |
| Exposure variables | |||||||
| G1 | 0.04 (0.09) | 0.01 (0.09) | 0.00 (0.09) | 0.00 (0.09) | 0.00 (0.09) | 0.00 (0.08) | −0.07 (0.08) |
| G2 | −0.04 (0.10) | −0.06 (0.10) | −0.13 (0.10) | −0.13 (0.10) | −0.13 (0.10) | −0.12 (0.08) | −0.12 (0.08) |
| Statin use | −1.29 (0.30) | −1.32 (0.27) | −1.30 (0.30) | −1.30 (0.30) | −1.40 (0.30) | −1.54 (0.28) | −1.51 (0.29) |
| G1 × G2 | 0.01 (0.07) | 0.03 (0.05) | 0.05 (0.08) | 0.06 (0.08) | 0.06 (0.08) | 0.06 (0.06) | 0.06 (0.06) |
| G1 × Statin use | 0.34 (0.17) | 0.34 (0.15) | 0.25 (0.18) | 0.25 (0.18) | 0.25 (0.18) | 0.38 (0.15) | 0.34 (0.17) |
| G2 × Statin use | 0.33 (0.16) | 0.33 (0.16) | 0.38 (0.18) | 0.38 (0.19) | 0.38 (0.20) | 0.38 (0.18) | 0.38 (0.19) |
| Gene-Statin and Gene-Gene association parameters from P(G1, G2|E, S) | |||||||
| λG1G2 | 0.02 (0.05) | 0.00 (0.05) | |||||
| λG1E | 0.05 (0.07) | 0.08 (0.06) | |||||
| λG2E | 0.01 (0.07) | 0.01 (0.07) | |||||
| (b) Sensitivity analysis with respect to the maximum number of allowable mixture components kmax, and the prior on G-G and G-E association parameters λ. | |||||||
|---|---|---|---|---|---|---|---|
| G1 | G2 | Statin use | G1 × G2 | G1 × Statin use | G2 × Statin use | ||
| kmax=10 | TPFB | 0.05 (0.10) | −0.03 (0.10) | −1.29 (0.30) | 0.01 (0.07) | 0.36 (0.16) | 0.32 (0.17) |
| TPFBemp | 0.01 (0.09) | −0.06 (0.10) | −1.32 (0.29) | 0.03 (0.07) | 0.31 (0.15) | 0.32 (0.16) | |
| kmax=30 | TPFBnon | 0.05 (0.11) | −0.03 (0.11) | −1.29 (0.31) | 0.01 (0.07) | 0.34 (0.19) | 0.34 (0.21) |
TPFB, TPFBemp, TPFBnon: Two-phase full Bayes (with informative prior N (0, 10−2), using empirical estimates for prior variances, with non-informative prior N (0, 104)) on G-E association parameters.
UML: Unconstrained maximum likelihood, CML: Constrained maximum likelihood, EB: Empirical-Bayes, WL: weighted likelihood, and PL: pseudo-likelihood.