Table 4 The model comparison between classical approach and Bayesian approach
From: Bayesian model with application to a study of dental caries
parameters | S.E. and Confidence interval for maximum likelihood estimators | SD and Credible interval for Bayesian estimator | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Estimate | S.E. | Interval Estimate (95%) | β | Sd | Credible Interval (95%) | |||||
Lower | Upper | Length | Lower | upper | length | |||||
α(intercept) | 1.723 | 0.203 | 1.3313 | 2.1259 | 0.795 | 1.7 | 0.1976 | 1.343 | 2.112 | 0.769 |
β1(Male) | −0.2037 | 0.078 | −0.358 | −0.050 | 0.308 | −0.204 | 0.078 | −0.3579 | −0.04931 | 0.308 |
β2 (Rural) | −0.3701 | 0.0813 | −0.5290 | −0.2103 | 0.319 | −0.3699 | 0.08083 | −0.5282 | − 0.2109 | 0.317 |
β3 (SNNPR) | 0.4943 | 0.097 | 0.3023 | 0.6827 | 0.380 | 0.4957 | 0.09676 | 0.3043 | 0.6835 | 0.379 |
β4(18–25) | −0.4829 | 0.1282 | −0.7387 | − 0.2357 | 0.503 | − 0.484 | 0.1279 | − 0.7383 | −0.2373 | 0.501 |
β5(26–35) | −0.3204 | 0.1342 | −0.5873 | −0.0606 | 0.527 | −0.3205 | 0.1338 | −0.5867 | − 0.06207 | 0.5246 |
β6(> = 35) | −0.2884 | 0.138 | −0.5616 | −0.0215 | 0.540 | −0.2887 | 0.137 | −0.5606 | − 0.02299 | 0.538 |
β7(Yes) | 0.38855 | 0.142 | 0.10399 | 0.660 | 0.556 | 0.389 | 0.1395 | 0.1126 | 0.6593 | 0.5467 |