Timeline for Can I claim that the relative risk of age effect in Poisson regression is a mortality rate?
Current License: CC BY-SA 4.0
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| Feb 7 at 22:43 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 5 at 14:33 | comment | added | wjktrs | Forgot to say, I never use a constant term for Poisson regression, because I want e.g. a rate coefficient for each specific age-group. If you use a constant term, you can only get 4 rate coefficients - not 5, like the ones all the output tables above. When your $a$ is used, an age-group coefficient is the rate difference between all subjects and those in the group considered. So in the above outputs, the coeff for age7584 would be the delta of rate difference between subjects who are age74-84 vs everyone else. | |
| Feb 5 at 4:14 | vote | accept | doraemon | ||
| Feb 5 at 3:30 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 5 at 3:25 | comment | added | wjktrs | Yes, still using Newton-Raphson. References listed in modified answer. | |
| Feb 5 at 3:22 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 5 at 3:15 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 5 at 2:52 | comment | added | doraemon | 'which requires several calculational changes to estimates that are not related to the link function' - still using MLE estimation/Newton method? | |
| Feb 5 at 2:28 | comment | added | doraemon | Your answer is very informative. Would you mind to provide some references? Also, does it mean that if I fit the multiplicative models, the mortality rate of a specific age group will be $\exp(a+\beta_{ti})$? | |
| Feb 4 at 20:12 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 4 at 20:03 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 4 at 20:02 | comment | added | wjktrs | See modified answer with observed and predicted estimates of rates from multiplicative and additive models. | |
| Feb 4 at 19:32 | comment | added | wjktrs | Yes, it's the link function. Packages that don't run additive Poisson simply haven't designed the code to handle additive - which requires several calculational changes to estimates that are not related to the link function. | |
| Feb 4 at 8:46 | comment | added | doraemon | I think the difference between multiplicative and additive models of Poisson regression is the link function. I guess the reason that some statistical packages do not run the additive model is that there is no effective way to fit non-canonical link function. | |
| Feb 4 at 8:40 | comment | added | doraemon | Sorry for late reply. I forgot to add exponential symbol before $\beta_{ti}$, but your information about multiplicative and additive models are very useful, thank you! | |
| Feb 4 at 0:59 | history | edited | wjktrs | CC BY-SA 4.0 |
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| Feb 2 at 23:27 | history | answered | wjktrs | CC BY-SA 4.0 |