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Full-Text Articles in Physical Sciences and Mathematics
Adjusting For Mis-Reporting In Count Data, Gelareh Rahimighazikalayeh
Adjusting For Mis-Reporting In Count Data, Gelareh Rahimighazikalayeh
Theses and Dissertations
Any counting system is prone to recording errors including underreporting and overreporting. Ignoring the misreporting pattern in count data can give rise to bias in the estimation of model parameters. Accordingly, Poisson, negative binomial and generalized Poisson regression have been expanded in some instances to capture reporting biases. However, to our knowledge, no program has been developed to allow users to apply all of these models when needed. In the first part of the dissertation, we review the available models for underreported counts and develop a Stata command to estimate Poisson, negative binomial and generalized Poisson regression models for underreported …
Regression Models For Count Data Based On The Double Poisson Distribution, Rebecca Wardrop
Regression Models For Count Data Based On The Double Poisson Distribution, Rebecca Wardrop
Theses and Dissertations
This paper explores the double Poisson distribution. The probability mass function and the difficulties associated with derivative-based optimization for this distribution are discussed. Stata software developed for estimation of double Poisson regression is detailed. Simulations are used to test the software. Data which are over-, under-, and equidispersed relative to the Poisson are generated and the software is utilized to estimate a regression model, a zero-inflated model, and a marginalized zero-inflated model all based on the double Poisson distribution. The estimated power of the test for φ = 1 for the double Poisson models are compared to the power of …