Partial, Complete or No Pooling: Information Content, Sample Sizes and Shrinkage in Multilevel Regression Models.

The topics dealt with in this post include a summary of multiple chapters from [1] where a regression model is built in steps. This is done by adding more structure to the model based on group and individual level information associated with the data. Some of the concepts like Shrinkage, Exchangeability and Pooling have been …

High Dimensional Data & Hierarchical Regression

In a high-throughput experiment one performs measurements on thousands of variables (e.g. genes or proteins) across two or more experimental conditions. In bioinformatics, we come across such data generated using technologies like Microarrays, Next generation sequencing, Mass spec etc. Data from these technologies have their own pre-processing, normalising and quality checks (see here and here …

Hierarchical Models: A Binomial Model with Shrinkage

The material in this post comes from various sources, some of which can be found in [1] Kruschke, J. K. (2014). Doing Bayesian data analysis: A tutorial with R, JAGS, and Stan, second edition. Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan, Second Edition. http://doi.org/10.1016/B978-0-12-405888-0.09999-2 [2] Gelman, A., Carlin, J. B., Stern, …