Approximate Likelihood-Ratio Test for Branches: A Fast, Accurate, and Powerful Alternative

Approximate likelihood-ratio test for branches: A fast, accurate, and powerful alternative.

We revisit statistical tests for branches of evolutionary trees reconstructed upon molecular data. A new, fast, approximate likelihood-ratio test (aLRT) for branches is presented here as a competitive alternative to nonparametric bootstrap and Bayesian estimation of branch support. The aLRT is based on the idea of the conventional LRT, with the null hypothesis corresponding to the assumption th...

Likelihood ratio: A powerful tool for incorporating the results of a diagnostic test into clinical decisionmaking.

A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Outliers in a Normal Sample

Usually when performing a statistical test or estimation procedure, we assume the data are all observations of i.i.d. random variables, often from a normal distribution. Sometimes, however, we notice in a sample one or more observations that stand out from the crowd. These observation(s) are commonly called outlier(s). Outlier tests are more formal procedures which have been developed for detec...

A flexible approximate likelihood ratio test for detecting differential expression in microarray data

1. Background Determining whether a gene is differentially expressed under different conditions is an important statistical problem in genomic experiments. The standard practice is to test the hypothesis of no differential expression for each gene when comparison is made between two (or more) experimental conditions. Generally speaking, the statistical methods used to detect differentially expr...

A fast and powerful W-test for pairwise epistasis testing

Epistasis plays an essential role in the development of complex diseases. Interaction methods face common challenge of seeking a balance between persistent power, model complexity, computation efficiency, and validity of identified bio-markers. We introduce a novel W-test to identify pairwise epistasis effect, which measures the distributional difference between cases and controls through a com...