TABLE 1.
Simulation results, regression of on h for MFVB vs. MCMC
AR-1 | Method | Time window | Intercept | Slope | R2 | RMSE |
---|---|---|---|---|---|---|
0.8 | MFVB | 1 | 0.02 | N/A | N/A | 0.24 |
2 | 0.00 | 0.89 | 0.97 | 0.23 | ||
3 | 0.00 | 0.97 | 0.99 | 0.22 | ||
4 | −0.01 | 0.99 | 0.99 | 0.22 | ||
MCMC | 1 | 0.05 | N/A | N/A | 0.26 | |
2 | 0.01 | 0.91 | 0.96 | 0.26 | ||
3 | −0.02 | 0.98 | 0.99 | 0.24 | ||
4 | −0.04 | 1.00 | 0.99 | 0.22 | ||
0.5 | MFVB | 1 | 0.01 | N/A | N/A | 0.20 |
2 | 0.00 | 0.92 | 0.97 | 0.25 | ||
3 | 0.00 | 0.97 | 0.99 | 0.27 | ||
4 | 0.01 | 0.99 | 0.99 | 0.22 | ||
MCMC | 1 | 0.06 | N/A | N/A | 0.23 | |
2 | 0.02 | 0.93 | 0.96 | 0.25 | ||
3 | −0.02 | 0.97 | 0.98 | 0.27 | ||
4 | −0.04 | 1.00 | 0.99 | 0.23 | ||
0.2 | MFVB | 1 | 0.04 | N/A | N/A | 0.22 |
2 | 0.00 | 0.92 | 0.97 | 0.24 | ||
3 | −0.01 | 0.96 | 0.99 | 0.22 | ||
4 | −0.01 | 0.98 | 0.99 | 0.24 | ||
MCMC | 1 | 0.06 | N/A | N/A | 0.24 | |
2 | 0.01 | 0.93 | 0.97 | 0.24 | ||
3 | −0.02 | 0.96 | 0.99 | 0.22 | ||
4 | −0.04 | 0.98 | 0.99 | 0.23 |
Performance of estimated ht (zi,t) across 100 simulated datasets, each with N = 300. RMSE denotes the root mean squared error of the as compared to h. Coverage denotes the proportion of times that the true h falls within in the 95% posterior credible interval of each time point. At time window 1, there is no effect; thus, slope and R2 are not applicable to the regression of on h.