Effects of omitting a covariate in poisson models when the data are balanced

Effects of omitting a covariate in poisson models when the data are balanced
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当数据平衡时,在泊松模型中省略协变量的影响

DOI:
10.2307/3315990
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发表时间:
2000
期刊:
Canadian Journal of Statistics
影响因子:
--
通讯作者:
J. Deddens
J. Deddens
中科院分区:
--
文献类型:
--
作者:
Martin R. Petersen;J. Deddens

文献摘要

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作者表明,对于平衡数据,当从乘法泊松模型中删除协变量时,感兴趣的效应及其标准误的估计值不受影响。正如他们所指出的,这在类似的线性模型和逻辑模型中都没有得到验证。在第一种情况下,只有估计的系数保持不变,而在第二种情况下,估计的效应及其标准误差都可以改变。
The authors show that for balanced data, the estimates of effects of interest and of their standard errors are unaffected when a covariate is removed from a multiplicative Poisson model. As they point out, this is not verified in the analogous linear model, nor in the logistic model. In the first case, only the estimated coefficients remain the same, while in the second case, both the estimated effects and their standard errors can change.