Table 4.
Posterior distributions of association parameters under different scenarios. Unless specified, the sampling interval was 10 minutes. MPM: Mean of the posterior mean across all simulations. 95% CI: Mean of the boundaries of the 95% equal tailed credible intervals across the simulations.
| # of Res. per trigger, ρ | Spread, ν(min) | Mass correlation, ρa | |||||||
|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|||||||
| Truth | MPM | 95% I | Truth | MPM | 95% I | Truth | MPM | 95% I | |
| 24 hour study | |||||||||
| Scenario 1 (Imperfect, large resp.) | 0.7 | 0.74 | (0.61,0.83) | 10 | 10.7 | (8.8,12.8) | 0.7 | 0.75 | (0.57,0.89) |
| Scenario 2 (Imperfect, small resp.) | 0.7 | 0.76 | (0.65,0.97) | 10 | 11.8 | (9.3,17.0) | 0.7 | 0.70 | (0.61,0.95) |
| Scenario 3 (Perfect, large resp.) | 1.0 | 1.02 | (0.93,1.06) | 10 | 10.6 | (9.8,11.2) | 0.7 | 0.68 | (0.57,0.84) |
| 12 hour study | |||||||||
| Scenario 2 | 0.7 | 0.54 | (0.37,0.76) | 10 | 10.8 | (7.1,16.0) | 0.7 | 0.62 | (0.05,0.98) |
| 6 hour study | |||||||||
| Scenario 2 | 0.7 | 0.57 | (0.33,0.89) | 10 | 12.8 | (6.5,23.7) | 0.7 | 0.50 | (0.02,0.95) |
| Scenario 2 (5 min. sampling) | 0.7 | 0.79 | (0.48,1.21) | 10 | 14.5 | (8.3,25.5) | 0.7 | 0.64 | (0.03,0.98) |
| Association model misspecified | |||||||||
| Scenario 4 (No association) | – | 6.15 | (0.18,11.38) | – | 1142 | (370,2350) | 0 | −0.20 | (−0.98,0.95) |
| Scenario 5 (2 triggers, average of 2–3 extra resp. pulses) | 0.7 | 1.30 | (0.70,1.69) | 10 | 27.1 | (20.2,35.1) | 0.7 | 0.25 | (−0.73,0.96) |
| Scenario 6 (2 triggers, average 6–7 extra resp. pulses) | 0.7 | 4.75 | (0.16,11.43) | – | 142 | (8.2,459) | 0.7 | −0.02 | (−0.91,0.92) |
| Scenario 7 (Resp. not pulsing) | – | 0.24 | (0.16,0.43) | – | 74.0 | (8.2,459) | 0 | 0.12 | (−0.80,0.89) |