LikeLihood based Permutation of Regression Residuals (PRR) test.
The basic approach is described in the paper (https://svn.r-project.org/Rjournal/trunk/html/_site/archive/2010-1/RJournal_2010-1_Werft+Benner.pdf):
Werft, Wiebke, and Axel Benner. "glmperm: A Permutation of Regressor Residuals Test for Inference in Generalized Linear Models." R J. 2.1 (2010): 39.
The idea is to calculate a p-value for a variable of interest based on a permutation test. This approach is more robust than using likelihood based inference with a regression model.
We extend the original implementation in three ways: 1. A categorical variable of interest with multiple levels 2. Can be applied to any log-likelihood based model, including over-dispersed and zero-inflated models. 3. Fit both count/zero components in zero-inflated models, then test either or both components separately.
From the public github repository:
devtools::install_git("https://github.com/majuvi/llperm")
From the internal RIVM repository:
devtools::install_git("https://gitl01-int-p.rivm.nl/viljanem/llperm")
If you cannot install the package, it is possible to just download the .zip and source all files:
sapply(file.path("llperm", "R", list.files(file.path("llperm", "R"), pattern="*.R")),source,.GlobalEnv)
See the 'vignettes' folder. We have two vignettes: 1. 'introduction.Rmd' shows how to fit the models to a real data set (VEGA subset), and shows that glmperm can fix standard models. 2. 'introduction2.Rmd' shows how to simulate Zero-Inflated Negative Binomial Data, and demonstrates that the standard models do well.
Experiments for the paper can be found in 1. 'llperm_experiments.Rmd': shows how to run all experiments in a local machine, save the results and then visualize the tables & figures. 2. 'llperm_experiments_LSF.Rmd': shows how to run the same experiments in a high-performance LSF cluster called 'biogrid' at RIVM, faster. 3. 'llperm_investigation.Rmd': some codes when we investigated why Beta Binomial / Negative Binomial differ and MASS had different results.
GPL-3. The package was inspired by the GPL licensed packages glmperm, pscl, ZIBBSeqDiscovery and glm.fit in base R.
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