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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
  1. C = \(\frac{\text{C}1+\text{C}2+\text{C}3}{3}\), \(\text{C}1\)= chain one, C2 = chain two, C3 = chain three