Stephen Parry

We are pleased to announce our new book: The World of Zero-Inflated Models: Using GLLVM. Zuur and Ieno (2025) This book explores modern statistical methods for analyzing complex datasets, focusing on multivariate models, mixed-effects models, and latent variable models. GLLVMs integrate GLMs and GLMMs with multivariate analysis techniques, allowing multiple response variables to be modeled within a single framework. Key topics include count data models with excess zeros and distributions such as Poisson, negative binomial, zero-inflated Poisson, zero-inflated negative binomial, and Tweedie. The book also provides practical guidance on implementing these models in R using the gllvm package. Designed for researchers, statisticians, and analysts working with multivariate ecological, environmental, or social science data, this book is also a practical resource for R users looking to apply complex statistical models effectively. Each chapter includes detailed R code and case studies, demonstrating how to fit and interpret complex models, diagnose potential issues, and refine model performance. Emphasizing practical solutions, the book helps readers apply these methods to real-world datasets.