Testing Goodness of Fit for the Poisson Assumption When Observations Are Not Identically Distributed

approximations asymptotic relative efficiency Poisson model negative binomial one-way layout C(alpha) tests testing goodness of fit regression through the origin locally optimal tests small sample comparisons

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05)

Related Items (27)

A family of partially correlated Poisson models for overdispersion ⋮ Some rememarks on locally most powerful unbiased tests for the detection of mixtures of poisson or binomial distributions ⋮ ASSESSING GOODNESS OF FIT FOR POISSON AND NEGATIVE BINOMIAL MODELS WITH LOW MEAN ⋮ Bayesian methods for time series of count data ⋮ An empirical approach to determine a threshold for assessing overdispersion in Poisson and negative binomial models for count data ⋮ A generalized Erlang distribution showing overdispersion ⋮ Monte carlo comparison of wald's, likelihood ratio and rao's tests ⋮ Negative binomial and mixed poisson regression ⋮ Analysis of one-way layout of count data in the presence of over or under dispersion ⋮ Mean regression model for the zero-truncated Poisson distribution and its generalization ⋮ Tests for detecting overdispersion in poisson models ⋮ Bayesian analysis of two overdispersed poisson regression models ⋮ Reference priors for constrained rate models of count data ⋮ Score tests for overdispersion in poisson regression models ⋮ Estimation for unequally spaced time series of counts with serially correlated random effects. ⋮ Comparisons of tests of distributional assumption in Poisson regression model ⋮ A goodness-of-fit test for overdispersed binomial (or multinomial) models ⋮ Overdispersion tests for truncated Poisson regression models ⋮ Testing the homogeneity of the means of several groups of count data in the presence of unequal dispersions ⋮ Inference concerning a common dispersion of several treatment groups in the analysis of over/underdispersed count data ⋮ Detecting departures from a poisson model ⋮ Intra-Cluster Correlation in the Normal Model ⋮ ESTIMATING A RATIO OF MEANS FROM BIVARIATE COUNTS WITH APPLICATIONS IN STEREOLOGY ⋮ Score tests in the two - way layout of counts ⋮ Overdispersed negative binomial regression models ⋮ Some remarks on testing goodness of fit for the poisson assumption ⋮ Tests for the response distribution in a Poisson regression model

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