Table 3 Simulation results for the design in Fig. 1: the estimated means, based on 500 replicates, are reported for coefficients in model (4) with interactions
From: Time-varying SMART design and data analysis methods for evaluating adaptive intervention effects
Parameter estimation | ||||||||
β 12 | β 22 | β 23 | β 32 | β 41 | β 42 | |||
(first-stage interventions A 1) | (second-stage interventions for responders A 2R ) | (second-stage interventions for non-responders A 2NR ) | (time of intervention T 2) | (interaction term A 1. A 2R ) | (interaction term A 1. A 2NR ) | |||
True value | −0.4 | 0.5 | 0.4 | 2.0 | 0.55 | −0.40 | ||
Joint model | Estimate | −0.381 | 0.490 | 0.389 | 1.626 | 0.542 | −0.397 | |
MSE | 0.014 | 0.038 | 0.019 | 0.305 | 0.037 | 0.019 | ||
CI% | 97.4 % | 95.6 % | 96.8 % | 87.0 % | 96.8 % | 98.0 % | ||
Length of CI | 0.521 | 0.789 | 0.593 | 1.671 | 0.789 | 0.593 | ||
TVMEM | Estimate | −0.530 | 0.489 | 0.390 | 4.122 | 0.542 | −0.396 | |
MSE | 0.029 | 0.039 | 0.020 | 4.697 | 0.037 | 0.020 | ||
CI% | 88.2 % | 95.8 % | 96.4 % | 0.0 % | 97.0 % | 97.8 % | ||
Length of CI | 0.525 | 0.809 | 0.605 | 1.618 | 0.809 | 0.605 | ||