The 7th amendment to the EU Cosmetics Directive prohibits to put animal-tested cosmetics
on the market in Europe after 2013. In that context, the European Commission invited …

Nonlinear mixed effects models for data in the form of continuous, repeated measurements
on each of a number of individuals, also known as hierarchical nonlinear models, are a …

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all
observations, model parameters, and model structure using probability theory. Probabilistic …

Bayesian statistical methods are slowly creeping into all fields of science and are becoming
ever more popular in applied research. Although it is very attractive to use Bayesian …

General state-space Markov chain theory has evolved to make it both more accessible and
more powerful. Markov Chain Monte Carlo in Practice introduces MCMC methods and their …

Bayesian Data Analysis describes how to conceptualize, perform, and critique statistical
analyses from a Bayesian perspective. Using examples largely from the authors' own …

We generalize the method proposed by Gelman and Rubin (1992a) for monitoring the
convergence of iterative simulations by comparing between and within variances of multiple …

Abstract Analysis of variance (ANOVA) is an extremely important method in exploratory and
confirmatory data analysis. Unfortunately, in complex problems (eg, split-plot designs), it is …

It has been an amazing time since the publication of the first edition, with vast changes
taking place in the fields of mixed effects models and their applications. At the time when the …

The covariance matrix plays an important role in statistical inference, yet modeling a
covariance matrix is often a difficult task in practice due to its dimensionality and the non …