Model STEVEN T. GARREN1, RICHARD L. SMITH2 &WALTERW. PIEGORSCH3, 1Department of Mathemati s and Statisti s, James Madison University, Harrisonburg, Virginia, USA, 2Department of Statisti s, University of North Carolina, Chapel Hill, USA and 3Department of Statisti s, University of South Carolina, Columbia, USA ABSTRACT A ommon question in the analysis of binary data is how to deal with overdisp...

Conventionally, we use a chi-square test of homogeneity to determine whether the cell probabilities of a multinomial are equal. However, this process of testing hypotheses is based on the assumption of two-valued logic. If we collect questionnaire data using fuzzy logic, i.e., we record the category data with memberships instead of with a 0-1 type, then the conventional test of goodness-of-fit ...

A goodness-of-fit test for positive stable law is proposed. For this mean, the Kullback-Leibler distance measure, as a basic tool in entropy theory, is considered. A simulation study is performed to compare the performance of the proposed method and old ones that suggested by Shkol’nik [6]. The results reveal that the introduced approach here shows more performance, in the sense of the test sta...

This article describes an extension of classical χ goodness-of-fit tests to Bayesian model assessment. The extension, which essentially involves evaluating Pearson’s goodness-of-fit statistic at a parameter value drawn from its posterior distribution, has the important property that it is asymptotically distributed as a χ random variable on K − 1 degrees of freedom, independently of the dimensi...

An empirical test is presented by which one may determine whether a specified multivariate probability model is suitable to describe the underlying distribution of a set of observations. This test is based on the premise that, given any probability distribution, the Mahalanobis distances corresponding to data generated from that distribution will likewise follow a distinct distribution that can...

This package provides facilities for performing and reporting different types of univariate goodness-of-fit statistical tests. Overview This package contains tools for performing univariate goodness-of-fit (GOF) statistical tests. Static methods for computing (or approximating) the distribution function F (x) of certain GOF test statistics, as well as their complementary distribution function ¯...

Overview This package contains tools for performing univariate goodness-of-fit (GOF) statistical tests. Static methods for computing (or approximating) the distribution function F (x) of certain GOF test statistics, as well as their complementary distribution function ¯ F (x) = 1 − F (x), are implemented in classes FDist and FBar. Tools for computing the GOF test statistics and the correspondin...