Antonio Ramos writes: The book with Hill has very little on longitudinal models. So do you recommended any reference to complement your book on covariance structures typical from these models, such as AR(1), Antedependence, Factor Analytic, etc? I am very much interest in BUGS code for these basic models as well as how to extend [...]

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Academics / Mathematics : Chapter Zero

I’m thinking about how to measure the convergence of a sample covariance matrix to the covariance matrix. To be specific, let, then we have by the law of large numbers. Both the sample covariance matrix and the covariance matrices a...

Academics / Mathematics : Statistical Modeling, Causal Inference, and Social Science

Since we’re talking about the scaled inverse Wishart... here’s a recent message from Chris Chatham: I have been reading your book on Bayesian Hierarchical/Multilevel Modeling but have been struggling a bit with deciding whether to m...

Academics / Mathematics : Statistical Modeling, Causal Inference, and Social Science

Since we’ve been discussing prior distributions on covariance matrices, I will recommend this recent article (coauthored with Tomoki Tokuda, Ben Goodrich, Iven Van Mechelen, and Francis Tuerlinckx) on their visualization: We present...

Academics / Mathematics : Statistical Modeling, Causal Inference, and Social Science

Jeremy Miles writes: Are you familiar with Miller and Chapman’s (2001) article: Misunderstanding Analysis of Covariance saying that ANCOVA (and therefore, I suppose regression) should not be used when groups differ on a covariate. I...

Academics / Mathematics : Statistical Modeling, Causal Inference, and Social Science

A student writes: I am new to Bayesian methods. While I am reading your book, I have some questions for you. I am interested in doing Bayesian hierarchical (multi-level) linear regression (e.g., random-intercept model) and Bayesian ...

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