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Revista Colombiana de Estadística
Print version ISSN 0120-1751
Abstract
DAVILA, EDUARDO; LOPEZ, LUIS ALBERTO and DIAZ, LUIS GUILLERMO. A Statistical Model for Analyzing Interdependent Complex of Plant Pathogens. Rev.Colomb.Estad. [online]. 2012, vol.35, n.spe2, pp.255-270. ISSN 0120-1751.
We introduce a new approach for modeling multivariate overdispersed binomial data, from a plant pathogen complex. After recalling some theoretical foundations of generalized linear models (GLMs) and Copula functions, we show how the later can be used to model correlated observations and overdispersed data. We illustrate this approach using fungal incidence in vegetables, which we analyzed using Gaussian copula with Beta-binomial margins. Compared to classical and generalized linear models, the model using Gaussian copula function best controls for overdispersion, being less prone to the underestimation of standard errors, the major cause of wrong inference in the statistical analysis of plant pathogen complex.
Keywords : Epidemiological methods; Extra-binomial variation; Multivariate data.