Robustness of linear mixed‐effects models to violations of distributional assumptions

H Schielzeth, NJ Dingemanse… - Methods in ecology …, 2020 - Wiley Online Library
Linear mixed‐effects models are powerful tools for analysing complex datasets with
repeated or clustered observations, a common data structure in ecology and evolution …

X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue

J Buchner, A Georgakakis, K Nandra, L Hsu… - Astronomy & …, 2014 - aanda.org
Context. Aims. Active galactic nuclei are known to have complex X-ray spectra that depend
on both the properties of the accreting super-massive black hole (eg mass, accretion rate) …

[图书][B] Data analysis using regression and multilevel/hierarchical models

A Gelman, J Hill - 2007 - books.google.com
Data Analysis Using Regression and Multilevel/Hierarchical Models is a comprehensive
manual for the applied researcher who wants to perform data analysis using linear and …

[图书][B] Bayesian data analysis

A Gelman, JB Carlin, HS Stern, DB Rubin - 1995 - taylorfrancis.com
Bayesian Data Analysis describes how to conceptualize, perform, and critique statistical
analyses from a Bayesian perspective. Using examples largely from the authors' own …

[图书][B] Small area estimation

JNK Rao - 2005 - books.google.com
An accessible introduction to indirect estimation methods, both traditional and model-based.
Readers will also find the latest methods for measuring the variability of the estimates as …

[图书][B] Bayesian biostatistics

E Lesaffre, AB Lawson - 2012 - books.google.com
The growth of biostatistics has been phenomenal in recent years and has been marked by
considerable technical innovation in both methodology and computational practicality. One …

Validation of software for Bayesian models using posterior quantiles

SR Cook, A Gelman, DB Rubin - Journal of Computational and …, 2006 - Taylor & Francis
This article presents a simulation-based method designed to establish the computational
correctness of software developed to fit a specific Bayesian model, capitalizing on properties …

[图书][B] Applied Bayesian hierarchical methods

PD Congdon - 2010 - taylorfrancis.com
The use of Markov chain Monte Carlo (MCMC) methods for estimating hierarchical models
involves complex data structures and is often described as a revolutionary development. An …

Posterior predictive assessment of item response theory models

S Sinharay, MS Johnson… - Applied Psychological …, 2006 - journals.sagepub.com
Model checking in item response theory (IRT) is an underdeveloped area. There is no
universally accepted tool for checking IRT models. The posterior predictive model-checking …

[图书][B] Bayesian hierarchical models: with applications using R

PD Congdon - 2019 - taylorfrancis.com
An intermediate-level treatment of Bayesian hierarchical models and their applications, this
book demonstrates the advantages of a Bayesian approach to data sets involving inferences …