A comparative evaluation of goodness-of-fit tests for the negative binomial distribution with application to RNA-Seq data
Date
2019-08
Authors
Osumba, John
Odhiambo, Collins
Omolo, Bernard
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
The negative binomial (NB) distribution is considered the most appropriate distribution for
modeling over dispersed count data. In this regard, a number of goodness of-fit (GOF) tests
have been applied for the NB, but no systematic evaluation of these tests has been done to
determine the most powerful tests. In this study, we perform a comparative evaluation of the
GOF tests for the negative binomial distribution, based on their power under suitable
alternatives, via simulations. The tests considered here include those based on the empirical
distribution functions (EDFs), likelihood functions, Kullback-Leibler discrimination
information, Laplace transforms, the generalized smooth tests and a combination of tests with
complimentary behavior. For illustration and validation, RNA-Seq data from colorectal cancer
are used.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - I6 August 2019, Strathmore University, Nairobi, Kenya
Keywords
GOF tests, RNA-Seq data, Negative binomial distribution, Model selection