TY - JOUR PY - 2008// TI - Assessing influence for pharmaceutical data in zero‐inflated generalized Poisson mixed models JO - Statistics in Medicine A1 - Xie, Feng‐Chang A1 - Wei, Bo‐Cheng A1 - Lin, Jin‐Guan SP - 3656 EP - 3673 VL - 27 IS - 18 N2 - For clustered count data with excess zeros where the observations are either over-dispersed or under-dispersed, the zero-inflated generalized Poisson mixed (ZIGPM) regression model may be appropriate, in which the baseline discrete distribution is a generalized Poisson distribution, which is a natural extension of standard Poisson distribution. Motivated by one data set drawn from a pharmaceutical study, influence diagnostics for ZIGPM models based on case-deletion and local influence analysis are developed in this work. The one-step approximations of the estimates under case-deletion model and some case-deletion measures are given. Meanwhile, local influence measures are obtained under various perturbations of the observed data or model assumptions. Results from a pharmaceutical study illustrate the usefulness of the diagnostic statistics. Copyright © 2008 John Wiley & Sons, Ltd.

LA - SN - 0277-6715 UR - http://dx.doi.org/10.1002/sim.3233 ID - ref1 ER -