Open the sample data, TelevisionDefects.MTW. Goodness-of-Fit Test for Poisson. For goodness of fit we have the following hypothesis:H0 = The data is consistent with a specified reference distribution.H1 = The data is NOT consistent with a specified reference distributionFor any null hypothesis testing, one need to specify a threshold which is known as statistical significance (or significant level). In this post we'll look at the deviance goodness of fit test for Poisson regression with individual count data. Many software packages provide this test either in the output when fitting a Poisson regression model or can perform it after fitting such a model (e.g. Stata), which may lead researchers and analysts in to relying on it.

A quality engineer at a consumer electronics company wants to know whether the defects per television set are from a Poisson distribution. If the parameters are not specified they are estimated either by ML or Minimum Chi-squared. The engineer randomly selects 300 televisions and records the number of defects per television. goodfit essentially computes the fitted values of a discrete distribution (either Poisson, binomial or negative binomial) to the count data given in x. Goodness of Fit Statistics for Poisson Regression, Gabriele Durrant (part 2 of 3)

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