I investigate the use of Pearson’s chi-square statistic, the Maximum Likelihood Ratio statistic for Poisson distributions, and the chi-square-gamma statistic (Mighell 1999, ApJ, 518, 380) for the determination of the goodness-of-fit between theoretical models and low-count Poisson-distributed data. I demonstrate that these statistics should not be used to determine the goodness-of-fit with data...

Maximum likelihood fits to data can be performed using binned data and unbinned data. The likelihood fits in either case produce only the fitted quantities but not the goodness of fit. With binned data, one can obtain a measure of the goodness of fit by using the χ2 method, after the maximum likelihood fitting is performed. With unbinned data, currently, the fitted parameters are obtained but n...

In this paper we address the problem of nding the best viewpoints for three-dimensional straight-line graph drawings. We deene goodness in terms of preserving the relational structure of the graph, and develop two continuous measures of goodness under orthographic parallel projection. We develop Voronoi variants to nd the best viewpoints under these measures, and present results on the complexi...

Latent Dirichlet Allocation is a generative topic model for text. In this report, we implement collapsed Gibbs sampling to learn the topic model. We test our implementation on two data sets: classic400 and Psychological Abstract Review. We also discuss the different evaluation of goodness-of-fit of the models how parameter settings interact with the goodness-of-fit.

For goodness-of-fit tests for a model (distribution) admitting nuisance location or scale parameters, second-order asymptotic distributional representations are exploited for some robust estimators that are asymptotically first-order equivalent; their difference then provides a goodness-of-fit test criterion, whose asymptotic properties are studied under the null hypothesis as well as under loc...

The Beauty-is-Good stereotype refers to the assumption that attractive people possess sociably desirable personalities and higher moral standards. The existence of this bias suggests that the neural mechanisms for judging facial attractiveness and moral goodness overlap, i.e., they are circumscribed to the same brain regions. The hypothesis of this overlap was investigated by Tsukiura and Cabez...

An increasingly important problem in the era of Big Data is fitting data to distributions. However, many stop at visually inspecting the fits or use the coefficient of determination as a measure of the goodness of fit. In general, goodness-of-fit measures do not allow us to tell which of several distributions fit the data best. Also, the likelihood of drawing the data from a distribution can be...

In this paper we address the problem of nding good viewpoints for three-dimensional straight-line graph drawings. We deene goodness in terms of preserving the relational structure of the graph, and develop two continuous measures of goodness. We develop Voronoi variants to nd the best viewpoints under these measures. We conclude by discussing future research and posing some open problems.

This study considers the goodness of fit test for a class of conditionally heteroscedastic location-scale time series models. For this task, we develop an entropy-type goodness of fit test based on residuals. To examine the asymptotic behavior of the test, we first investigate the asymptotic property of the residual empirical process and then derive the limiting null distribution of the entropy...

We consider the consistency of the Bayes factor in goodness of fit testing for a parametric family of densities against a nonparametric alternative. Sufficient conditions for consistency of the Bayes factor are determined and demonstrated with priors using certain mixtures of triangular densities. Running headline: Bayesian Goodness of Fit Testing