From: Individual patient data meta-analysis of survival data using Poisson regression models

Framework | Covariate | Cox | Poisson (1) | Poisson (0.5) | Poisson (0.25) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Hazard Ratio | 95% CI | Hazard Ratio | 95% CI | Hazard Ratio | 95% CI | Hazard Ratio | 95% CI | ||||||

Classical |
Treatment when w
_{
ij
} = 0, exp$\left({\widehat{\beta}}_{1}\right)$
| 0.858 | 0.736 | 1.001 | 0.858 | 0.736 | 1.001 | 0.858 | 0.736 | 1.001 | 0.859 | 0.736 | 1.001 |

Overweight, exp$\left({\widehat{\beta}}_{1}\right)$ | 0.726 | 0.630 | 0.835 | 0.725 | 0.630 | 0.835 | 0.726 | 0.630 | 0.835 | 0.726 | 0.630 | 0.835 | |

Treatment when w
_{
ij
} = 1, exp$\left({\widehat{\beta}}_{1}+\widehat{\gamma}\right)$
| 0.896 | 0.784 | 1.024 | 0.896 | 0.784 | 1.023 | 0.896 | 0.784 | 1.024 | 0.896 | 0.784 | 1.024 | |

Bayesian |
Treatment when w
_{
ij
} = 0, exp$\left({\widehat{\beta}}_{1}\right)$
| - | - | - | 0.857 | 0.734 | 0.993 | 0.860 | 0.736 | 1.000 | 0.859 | 0.733 | 0.999 |

Overweight, exp$\left(\widehat{\mu}\right)$ | - | - | - | 0.725 | 0.634 | 0.836 | 0.726 | 0.632 | 0.838 | 0.725 | 0.631 | 0.840 | |

Treatment when w
_{
ij
} = 1, exp$\left({\widehat{\beta}}_{1}+\widehat{\gamma}\right)$
| - | - | - | 0.896 | 0.781 | 1.022 | 0.896 | 0.787 | 1.023 | 0.897 | 0.785 | 1.025 |