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robustETM (version 1.0)

robustETM-package: Robust Exponential Tilt Mixture Model

Description

The package robustETM consists of the functions to perform pseudolikelihood based EM test for homogeneity in generalized exponential tilt mixture models.

Arguments

Testing for homogeneity in generalized exponential titl mixture model

Motivated by analyses of DNA methylation data, we propose a semiparametric mixture model, namely the generalized exponential tilt mixture model, to account for heterogeneity between differentially methylated and non-differentially methylated subjects in the cancer group, and capture the differences in higher order moments (e.g. mean and variance) between subjects in cancer and normal groups. A pairwise pseudolikelihood is constructed to eliminate the unknown nuisance function. To circumvent boundary and non-identifiability problems as in parametric mixture models, we modify the pseudolikelihood by adding a penalty function. In addition, test with simple asymptotic distribution has computational advantages over permutational test for high-dimensional genetic and epigenetic data. We propose a pseudolikelihood based expectation-maximization test, and show the proposed test follows a simple chi-squared limiting distribution. The methods contains in function sim are:
  • The proposed PLEMT test (pseudolikelihood based EM test)
  • The t-test
  • The modified empirical likelihood ratio test
  • The empirical likelihood ratio test
  • The logistic regression test
  • The Wilcoxon test
  • The F test
  • The KS test

Details

Package:
robustETM
Type:
robustETM
Version:
1.0
Date:
2016-03-27
License: GPL>=2

References

Hong, C., Chen Y., Ning Y., Wang S., Wu H. and Carroll R.J. (2016). PLEMT: A novel pseudolikelihood based EM test for homogeneity in generalized exponential tilt mixture model (in preparation).