Table 3 Heidelberger and welch test for the Bayesian Bernoulli-Exponential model and for the Gaussian informative prior
Sample Size and Design Structure | Parameter | Stationarity Test | P-value | Halfwidth Test | Halfwidth |
|---|---|---|---|---|---|
18(10) | \(\alpha _{1}\) | passed | 0.5613 | passed | 0.0131 |
\(\alpha _{2}\) | passed | 0.2289 | passed | 0.0085 | |
\(\alpha _{3}\) | passed | 0.0831 | passed | 0.0082 | |
\(\alpha _{4}\) | passed | 0.0821 | passed | 0.0083 | |
\(\alpha _{5}\) | passed | 0.7699 | passed | 0.0083 | |
\(\alpha _{6}\) | passed | 0.0632 | passed | 0.0075 | |
\(\alpha _{7}\) | passed | 0.4511 | passed | 0.0052 | |
\(\gamma\) | passed | 0.2434 | passed | 0.0135 | |
\(\psi\) | passed | 0.0944 | passed | 0.0138 | |
\(\vartheta\) | passed | 0.7248 | passed | 0.0024 | |
\(\xi\) | passed | 0.2900 | passed | 0.0122 | |
54(5 &3) | \(\alpha _{1}\) | passed | 0.3399 | passed | 0.0107 |
\(\alpha _{2}\) | passed | 0.1035 | passed | 0.0077 | |
\(\alpha _{3}\) | passed | 0.0690 | passed | 0.0079 | |
\(\alpha _{4}\) | passed | 0.5958 | passed | 0.0078 | |
\(\alpha _{5}\) | passed | 0.9991 | passed | 0.0086 | |
\(\alpha _{6}\) | passed | 0.0837 | passed | 0.0038 | |
\(\alpha _{7}\) | passed | 0.9054 | passed | 0.0033 | |
\(\gamma\) | passed | 0.3158 | passed | 0.0094 | |
\(\psi\) | passed | 0.2489 | passed | 0.0114 | |
\(\vartheta\) | passed | 0.5081 | passed | 0.0025 | |
\(\xi\) | passed | 0.4021 | passed | 0.0080 | |
180(20 &6) | \(\alpha _{1}\) | passed | 0.8574 | passed | 0.0093 |
\(\alpha _{2}\) | passed | 0.0874 | passed | 0.0047 | |
\(\alpha _{3}\) | passed | 0.6287 | passed | 0.0048 | |
\(\alpha _{4}\) | passed | 0.7431 | passed | 0.0047 | |
\(\alpha _{5}\) | passed | 0.5685 | passed | 0.0051 | |
\(\alpha _{6}\) | passed | 0.2030 | passed | 0.0014 | |
\(\alpha _{7}\) | passed | 0.4465 | passed | 0.0017 | |
\(\gamma\) | passed | 0.3473 | passed | 0.0032 | |
\(\psi\) | passed | 0.4006 | passed | 0.0045 | |
\(\vartheta\) | passed | 0.6792 | passed | 0.0008 | |
\(\xi\) | passed | 0.3890 | passed | 0.0028 |