Table 3 Heidelberger and Welch Stationarity and half-width tests for the Bayesian chains used in the diagnosis of MCMC
From: Bayesian negative binomial logit hurdle and zero-inflated model for characterizing smoking intensity
Count model coefficients (NBLH) | Count model coefficients (ZINB) | ||||||
|---|---|---|---|---|---|---|---|
Parameters | Stationarity Test | P-Value | Half-width test | Parameters | Stationarity Test | P-Value | Half-width test |
C | C | ||||||
\(\varnothing \) | Passed | 0.517 | Passed | \(\varnothing \) | Passed | 0.24 | Passed |
\({\beta }_{0}\) | Passed | 0.456 | Passed | \({\beta }_{0}\) | Passed | 0.574 | Passed |
\({\beta }_{1}\) | Passed | 0.322 | Passed | \({\beta }_{1}\) | Passed | 0.38 | Passed |
\({\beta }_{2}\) | Passed | 0.263 | Passed | \({\beta }_{2}\) | Passed | 0.425 | Passed |
\({\beta }_{3}\) | Passed | 0.188 | Passed | \({\beta }_{3}\) | Passed | 0.354 | Passed |
\({\beta }_{4}\) | Passed | 0.289 | Passed | \({\beta }_{4}\) | Passed | 0.371 | Passed |
\({\beta }_{5}\) | Passed | 0.515 | Passed | \({\beta }_{5}\) | Passed | 0.226 | Passed |
\({\beta }_{6}\) | Passed | 0.677 | Passed | \({\beta }_{6}\) | Passed | 0.353 | Passed |
\({\beta }_{7}\) | Passed | 0.462 | Passed | \({\beta }_{7}\) | Passed | 0.645 | Passed |
\({\beta }_{8}\) | Passed | 0.51 | Passed | \({\beta }_{8}\) | Passed | 0.71 | Passed |
\({\beta }_{9}\) | Passed | 0.39 | Passed | \({\beta }_{9}\) | Passed | 0.586 | Passed |
\({\beta }_{10}\) | Passed | 0.397 | Passed | \({\beta }_{10}\) | Passed | 0.286 | Passed |
\({\beta }_{11}\) | Passed | 0.635 | Passed | \({\beta }_{11}\) | Passed | 0.386 | Passed |
\({\beta }_{12}\) | Passed | 0.516 | Passed | \({\beta }_{12}\) | Passed | 0.897 | Passed |
\({\beta }_{13}\) | Passed | 0.371 | Passed | \({\beta }_{13}\) | Passed | 0.582 | Passed |
\({\beta }_{14}\) | Passed | 0.172 | Passed | \({\beta }_{14}\) | Passed | 0.375 | Passed |
Zero hurdle model coefficients (binomial with logit link) | Zero-inflation model coefficients | ||||||
|---|---|---|---|---|---|---|---|
\({\gamma }_{0}\) | Passed | 0.398 | Passed | \({\gamma }_{0}\) | Passed | 0.447 | Passed |
\({\gamma }_{1}\) | Passed | 0.272 | Passed | \({\gamma }_{1}\) | Passed | 0.595 | Passed |
\({\gamma }_{2}\) | Passed | 0.281 | Passed | \({\gamma }_{2}\) | Passed | 0.692 | Passed |
\({\gamma }_{3}\) | Passed | 0.094 | Passed | \({\gamma }_{3}\) | Passed | 0.258 | Passed |
\({\gamma }_{4}\) | Passed | 0.151 | Passed | \({\gamma }_{4}\) | Passed | 0.292 | Passed |
\({\gamma }_{5}\) | Passed | 0.294 | Passed | \({\gamma }_{5}\) | Passed | 0.524 | Passed |
\({\gamma }_{6}\) | Passed | 0.3 | Passed | \({\gamma }_{6}\) | Passed | 0.494 | Passed |
\({\gamma }_{7}\) | Passed | 0.489 | Passed | \({\gamma }_{7}\) | Passed | 0.464 | Passed |
\({\gamma }_{8}\) | Passed | 0.365 | Passed | \({\gamma }_{8}\) | Passed | 0.427 | Passed |
\({\gamma }_{9}\) | Passed | 0.218 | Passed | \({\gamma }_{9}\) | Passed | 0.299 | Passed |
\({\gamma }_{10}\) | Passed | 0.377 | Passed | \({\gamma }_{10}\) | Passed | 0.329 | Passed |
\({\gamma }_{11}\) | Passed | 0.378 | Passed | \({\gamma }_{11}\) | Passed | 0.446 | Passed |
\({\gamma }_{12}\) | Passed | 0.546 | Passed | \({\gamma }_{12}\) | Passed | 0.797 | Passed |
\({\gamma }_{13}\) | Passed | 0.658 | Passed | \({\gamma }_{13}\) | Passed | 0.387 | Passed |
\({\gamma }_{14}\) | Passed | 0.659 | Passed | \({\gamma }_{14}\) | Passed | 0.398 | Passed |