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Ashraful

Md Ashraful Islam Bhuiya

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Log-linear Modeling of Nematodirus Infection Intensity in Sheep
Nematodirus infection intensity in Wyoming sheep is a useful applied setting for comparing categorical and count-based modeling strategies. The response is the number of sheep in ordered infection-intensity categories within each farm. A multinomial model is a natural starting point because the counts are allocated across mutually exclusive categories, but a log-linear formulation is more flexible for modeling overdispersion, farm-level clustering, and zero inflation. This report presents a staged analysis using multinomial, Poisson, negative binomial, heterogeneous-dispersion negative binomial, mixed-effects negative binomial, and zero-inflated negative binomial models. The final selected model was a negative binomial log-linear model with heterogeneous dispersion and a farm-level random intercept.
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