A comparative evaluation of goodness-of-fit tests for the negative binomial distribution with application to RNA-Seq data

dc.contributor.authorOsumba, John
dc.contributor.authorOdhiambo, Collins
dc.contributor.authorOmolo, Bernard
dc.date.accessioned2021-05-07T10:16:38Z
dc.date.available2021-05-07T10:16:38Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - I6 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractThe 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.en_US
dc.description.sponsorshipInstitute of Mathematical Sciences, Strathmore University, Nairobi, Kenya. University of South Carolina — Upstate, United States of America.en_US
dc.identifier.urihttp://hdl.handle.net/11071/10459
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectGOF testsen_US
dc.subjectRNA-Seq dataen_US
dc.subjectNegative binomial distributionen_US
dc.subjectModel selectionen_US
dc.titleA comparative evaluation of goodness-of-fit tests for the negative binomial distribution with application to RNA-Seq dataen_US
dc.typeArticleen_US
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