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Influence diagnostics in nonlinear reproductive dispersion mixed models |
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| Authors: | Nian-Sheng Tang Bo-Cheng Wei Wen-Zhuan Zhang |
| Institution: | 1. Department of Statistics , Yunnan University , Kunming, 650091, Yunnan province, People’s Republic of China nstang@ynu.edu.cn;3. Department of Mathematics , Southeast University , Nanjing, 210096, People’s Republic of China;4. Department of Statistics , Yunnan University , Kunming, 650091, Yunnan province, People’s Republic of China |
| Abstract: | The class of nonlinear reproductive dispersion mixed models (NRDMMs) is an extension of nonlinear reproductive dispersion models and generalized linear mixed models. This paper discusses the influence analysis of the model based on Laplace approximation. The equivalence of case-deletion models and mean-shift outlier models in NRDMMs is investigated, and some diagnostic measures are proposed via the case-deletion method. We also investigate the assessment of local influence of various perturbation schemes. The proposed method is illustrated with an example. |
| Keywords: | Case-deletion model Diagnostics Fisher’s scoring iterative method Laplace approximation Local influence Mean-shift outlier model Nonlinear reproductive dispersion mixed models |