Informative Statistical Analyses Using Smooth Goodness of Fit Tests

The Comparison Between Goodness of Fit Tests for Copula

‎Copula functions as a model can show the relationship between variables‎. ‎Appropriate copula function for a specific application is a function that shows the dependency between data in a best way‎. ‎Goodness of fit tests theoretically are the best way in selection of copula function‎. ‎Different ways of goodness of fit for copula exist‎. ‎In this paper we will examine the goodness of fit test...

On Goodness-of-fit Tests

Anderson-Darling Tests of Goodness-of-Fit

Goodness-of-fit tests in mixed models

Mixed models, with both random and fixed effects, are most often estimated on the assumption that the random effects are normally distributed. In this paper we propose several formal tests of the hypothesis that the random effects and/or errors are normally distributed. Most of the proposed methods can be extended to generalized linear models where tests for non-normal distributions are of inte...

Goodness-of-fit Tests via Phi-divergences

By Leah Jager∗ and Jon A. Wellner† Grinnell College and University of Washington A unified family of goodness-of-fit tests based on φ−divergences is introduced and studied. The new family of test statistics Sn(s) includes both the supremum version of the Anderson-Darling statistic and the test statistic of Berk and Jones (1979) as special cases (s = 2 and s = 1 respectively). We also introduce ...