Fitting linear mixed models using JAGS and Stan: A tutorial

A tutorial on fitting Bayesian linear mixed models using Stan

With the arrival of the R packages nlme and lme4, linear mixed models (LMMs) have come to be widely used in psychology, cognitive science, and related areas. In this tutorial, we provide a practical introduction to fitting LMMs in a Bayesian framework using the probabilistic programming language Stan. Although the Bayesian framework has several important advantages, specifying a Bayesian model ...

Running head: BAYESIAN LINEAR MIXED MODELS: A TUTORIAL 1 Bayesian linear mixed models using Stan: A tutorial for psychologists, linguists, and cognitive scientists

Bayesian inference with Stan: A tutorial on adding custom distributions.

When evaluating cognitive models based on fits to observed data (or, really, any model that has free parameters), parameter estimation is critically important. Traditional techniques like hill climbing by minimizing or maximizing a fit statistic often result in point estimates. Bayesian approaches instead estimate parameters as posterior probability distributions, and thus naturally account for...

Fitting Second-order Models to Mixed Two-level and Four-level Factorial Designs: Is There an Easier Procedure?

Fitting response surface models is usually carried out using statistical packages to solve complicated equations in order to produce the estimates of the model coefficients. This paper proposes a new procedure for fitting response surface models to mixed two-level and four-level factorial designs. New and easier formulae are suggested to calculate the linear, quadratic and the interaction coeff...

A Comparison of Two MCMC Algorithms for Hierarchical Mixture Models

Mixture models form an important class of models for unsupervised learning, allowing data points to be assigned labels based on their values. However, standard mixture models procedures do not deal well with rare components. For example, pause times in student essays have di↵erent lengths depending on what cognitive processes a student engages in during the pause. However, instances of student ...