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Unified computational methods for regression analysis of zero-inflated and bound-inflated data

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  • Yang, Yan
  • Simpson, Douglas

Abstract

Bounded data with excess observations at the boundary are common in many areas of application. Various individual cases of inflated mixture models have been studied in the literature for bound-inflated data, yet the computational methods have been developed separately for each type of model. In this article we use a common framework for computing these models, and expand the range of models for both discrete and semi-continuous data with point inflation at the lower boundary. The quasi-Newton and EM algorithms are adapted and compared for estimation of model parameters. The numerical Hessian and generalized Louis method are investigated as means for computing standard errors after optimization. Correlated data are included in this framework via generalized estimating equations. The estimation of parameters and effectiveness of standard errors are demonstrated through simulation and in the analysis of data from an ultrasound bioeffect study. The unified approach enables reliable computation for a wide class of inflated mixture models and comparison of competing models.

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  • Yang, Yan & Simpson, Douglas, 2010. "Unified computational methods for regression analysis of zero-inflated and bound-inflated data," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1525-1534, June.
  • Handle: RePEc:eee:csdana:v:54:y:2010:i:6:p:1525-1534
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    References listed on IDEAS

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    Cited by:

    1. Tiago R. Pellegrini & M. Tariqul Hasan & Renjun Ma, 2017. "Modeling of paired zero-inflated continuous data without breaking down paired designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(13), pages 2427-2443, October.

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