Mediation effect sizes and their 95% confidence intervals estimated using the CF-OLS, B-Mixed, and HDMT methods with the Framingham Heart Study (FHS) data. Exp refers to the exposure variable. |${\bf N}$| refers to the sample size. ab refers to the indirect mediation effect. prop refers to the proportion measure. total refers to the total effect. |${\bf \hat p}$| refers to the number of genes selected. The 95% confidence intervals (in parentheses) for the B-Mixed method were computed using 500 bootstrap samples. For the CF-OLS and HDMT methods, the splitting of data resulted in two sets of results for ab, prop, total, and |${\bf \hat p}$| across two subsamples.
| Outcome . | Exp . | Method . | |$R_{Med}^2 $| . | SOS . | |$R_{Y, X}^2 $| . | ab . | prop . | total . | |$\widehat{\bf p}$| . |
|---|---|---|---|---|---|---|---|---|---|
| Systolic BP | Age | CF-OLS | 0.126 | 0.612 | 0.201 | –6.733/–7.052 | –10.094/–10.557 | 0.667/0.668 | 166/194 |
| (N = 4542) | (0.109, 0.144) | (0.559, 0.666) | |||||||
| B-Mixed | 0.120 | 0.601 | 0.200 | –7.268 | –10.877 | 0.668 | 200 | ||
| (0.081, 0.147) | (0.437, 0.705) | (0.174, 0.229) | (–8.108, –6.364) | (–13.177, –8.718) | (0.615, 0.730) | (149, 221) | |||
| HDMT | 0.042 | 0.205 | 0.201 | –6.852/–7.195 | –10.267/–10.770 | 0.667/0.668 | 7/11 | ||
| (0.034, 0.051) | (0.167, 0.243) | ||||||||
| HDL-C | Sex | CF-OLS | 0.083 | 0.485 | 0.166 | 8.580/8.051 | 0.550/0.536 | 15.613/15.024 | 107/110 |
| (N = 4481) | (0.069, 0.098) | (0.421, 0.549) | |||||||
| B-Mixed | 0.067 | 0.378 | 0.178 | 8.225 | 0.528 | 15.586 | 103 | ||
| (0.049, 0.169) | (0.285, 0.893) | (0.155, 0.263) | (7.282, 9.334) | (0.506, 0.553) | (14.402, 16.878) | (67, 134) | |||
| HDMT | 0.058 | 0.325 | 0.166 | 8.489/8.037 | 0.544/0.535 | 15.613/15.024 | 23/48 | ||
| (0.044, 0.068) | (0.265, 0.385) |
| Outcome . | Exp . | Method . | |$R_{Med}^2 $| . | SOS . | |$R_{Y, X}^2 $| . | ab . | prop . | total . | |$\widehat{\bf p}$| . |
|---|---|---|---|---|---|---|---|---|---|
| Systolic BP | Age | CF-OLS | 0.126 | 0.612 | 0.201 | –6.733/–7.052 | –10.094/–10.557 | 0.667/0.668 | 166/194 |
| (N = 4542) | (0.109, 0.144) | (0.559, 0.666) | |||||||
| B-Mixed | 0.120 | 0.601 | 0.200 | –7.268 | –10.877 | 0.668 | 200 | ||
| (0.081, 0.147) | (0.437, 0.705) | (0.174, 0.229) | (–8.108, –6.364) | (–13.177, –8.718) | (0.615, 0.730) | (149, 221) | |||
| HDMT | 0.042 | 0.205 | 0.201 | –6.852/–7.195 | –10.267/–10.770 | 0.667/0.668 | 7/11 | ||
| (0.034, 0.051) | (0.167, 0.243) | ||||||||
| HDL-C | Sex | CF-OLS | 0.083 | 0.485 | 0.166 | 8.580/8.051 | 0.550/0.536 | 15.613/15.024 | 107/110 |
| (N = 4481) | (0.069, 0.098) | (0.421, 0.549) | |||||||
| B-Mixed | 0.067 | 0.378 | 0.178 | 8.225 | 0.528 | 15.586 | 103 | ||
| (0.049, 0.169) | (0.285, 0.893) | (0.155, 0.263) | (7.282, 9.334) | (0.506, 0.553) | (14.402, 16.878) | (67, 134) | |||
| HDMT | 0.058 | 0.325 | 0.166 | 8.489/8.037 | 0.544/0.535 | 15.613/15.024 | 23/48 | ||
| (0.044, 0.068) | (0.265, 0.385) |
Mediation effect sizes and their 95% confidence intervals estimated using the CF-OLS, B-Mixed, and HDMT methods with the Framingham Heart Study (FHS) data. Exp refers to the exposure variable. |${\bf N}$| refers to the sample size. ab refers to the indirect mediation effect. prop refers to the proportion measure. total refers to the total effect. |${\bf \hat p}$| refers to the number of genes selected. The 95% confidence intervals (in parentheses) for the B-Mixed method were computed using 500 bootstrap samples. For the CF-OLS and HDMT methods, the splitting of data resulted in two sets of results for ab, prop, total, and |${\bf \hat p}$| across two subsamples.
| Outcome . | Exp . | Method . | |$R_{Med}^2 $| . | SOS . | |$R_{Y, X}^2 $| . | ab . | prop . | total . | |$\widehat{\bf p}$| . |
|---|---|---|---|---|---|---|---|---|---|
| Systolic BP | Age | CF-OLS | 0.126 | 0.612 | 0.201 | –6.733/–7.052 | –10.094/–10.557 | 0.667/0.668 | 166/194 |
| (N = 4542) | (0.109, 0.144) | (0.559, 0.666) | |||||||
| B-Mixed | 0.120 | 0.601 | 0.200 | –7.268 | –10.877 | 0.668 | 200 | ||
| (0.081, 0.147) | (0.437, 0.705) | (0.174, 0.229) | (–8.108, –6.364) | (–13.177, –8.718) | (0.615, 0.730) | (149, 221) | |||
| HDMT | 0.042 | 0.205 | 0.201 | –6.852/–7.195 | –10.267/–10.770 | 0.667/0.668 | 7/11 | ||
| (0.034, 0.051) | (0.167, 0.243) | ||||||||
| HDL-C | Sex | CF-OLS | 0.083 | 0.485 | 0.166 | 8.580/8.051 | 0.550/0.536 | 15.613/15.024 | 107/110 |
| (N = 4481) | (0.069, 0.098) | (0.421, 0.549) | |||||||
| B-Mixed | 0.067 | 0.378 | 0.178 | 8.225 | 0.528 | 15.586 | 103 | ||
| (0.049, 0.169) | (0.285, 0.893) | (0.155, 0.263) | (7.282, 9.334) | (0.506, 0.553) | (14.402, 16.878) | (67, 134) | |||
| HDMT | 0.058 | 0.325 | 0.166 | 8.489/8.037 | 0.544/0.535 | 15.613/15.024 | 23/48 | ||
| (0.044, 0.068) | (0.265, 0.385) |
| Outcome . | Exp . | Method . | |$R_{Med}^2 $| . | SOS . | |$R_{Y, X}^2 $| . | ab . | prop . | total . | |$\widehat{\bf p}$| . |
|---|---|---|---|---|---|---|---|---|---|
| Systolic BP | Age | CF-OLS | 0.126 | 0.612 | 0.201 | –6.733/–7.052 | –10.094/–10.557 | 0.667/0.668 | 166/194 |
| (N = 4542) | (0.109, 0.144) | (0.559, 0.666) | |||||||
| B-Mixed | 0.120 | 0.601 | 0.200 | –7.268 | –10.877 | 0.668 | 200 | ||
| (0.081, 0.147) | (0.437, 0.705) | (0.174, 0.229) | (–8.108, –6.364) | (–13.177, –8.718) | (0.615, 0.730) | (149, 221) | |||
| HDMT | 0.042 | 0.205 | 0.201 | –6.852/–7.195 | –10.267/–10.770 | 0.667/0.668 | 7/11 | ||
| (0.034, 0.051) | (0.167, 0.243) | ||||||||
| HDL-C | Sex | CF-OLS | 0.083 | 0.485 | 0.166 | 8.580/8.051 | 0.550/0.536 | 15.613/15.024 | 107/110 |
| (N = 4481) | (0.069, 0.098) | (0.421, 0.549) | |||||||
| B-Mixed | 0.067 | 0.378 | 0.178 | 8.225 | 0.528 | 15.586 | 103 | ||
| (0.049, 0.169) | (0.285, 0.893) | (0.155, 0.263) | (7.282, 9.334) | (0.506, 0.553) | (14.402, 16.878) | (67, 134) | |||
| HDMT | 0.058 | 0.325 | 0.166 | 8.489/8.037 | 0.544/0.535 | 15.613/15.024 | 23/48 | ||
| (0.044, 0.068) | (0.265, 0.385) |
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