ARTICLE | doi:10.20944/preprints201807.0534.v1
Subject: Mathematics & Computer Science, Probability And Statistics Keywords: covariates; crab data; foetal lamb data; orthonormal polynomials; Poisson distribution
Online: 27 July 2018 (05:20:44 CEST)
Dispersion tests based on the second order component of smooth test statistics are related to Fisher’s Index of Dispersion test, used for testing for the Poisson distribution when there are no covariates present. Such tests have been recommended in  to test for the Poisson distribution when covariates are present. The modified Borel-Tanner (MBT) distribution seems suited to data with extra zeroes, a monotonic decline in counts and longer tails. Here we recommend a dispersion test for the MBT distribution for both when covariates are absent and when they are present.