Diagnostics in nonlinear negative binomial models

Diagnostics in nonlinear negative binomial models
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DOI:
10.1081/sta-120021329
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发表时间:
2003-01-01
影响因子:
0.8
通讯作者:
Paula, GA
Paula, GA
中科院分区:
数学4区
文献类型:
--
作者:
Svetliza, CF;Paula, GA

文献摘要

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非线性负二项模型代表了一类非线性回归模型,可用于拟合过度分散计数数据的生长曲线。本文讨论了非线性负二项模型中局部影响和残差分析在离差残差中的应用。我们推导出适当的矩阵,用于评估局部影响的参数估计,考虑作为影响措施的似然位移。最后给出了一个比较计数数据的不同增长曲线的例子。
Nonlinear negative binomial models represent a general class of nonlinear regression models that may be applied to fit growth curves for overdispersed count data. We discuss in this article application of local influence and residual analysis through deviance residual in nonlinear negative binomial models. We derive the appropriate matrices for assessing the local influence on the parameter estimates by considering as influence measure the likelihood displacement. An example in which different growth curves for count data are compared is given for illustration.