The chi-square test of fit provides a possible and widely used method to justify what is the
underlying distribution. However real data frequently reveal at least small deviations from …

Application and optimality of the chi-square test of fit for testing ε- validity of parametric models
Page 1 --: . . " ". . n . , P - ; ile cfii-sqi~zzTc ~?$t fii Ilz ITecrfiefiL iY Gse<L &s L<;oi I(;r r,es tiiiZ …

So far, the principal framework of this book has been optimality (either exact or asymptotic)
in situations where both the hypothesis and the class of alternatives were specified by …

Suppose that a test of fit to a parametric family of distributions is employed, with critical
points determined from the limiting null distribution of the test statistic for IID observations. It …

Chi‐Squared Tests—II - Nikulin - Major Reference Works - Wiley Online Library Skip to Article
Content Skip to Article Information Wiley Online Library Wiley Online Library Search within …

This thesis is concerned with extending and comparing two classes of procedures for testing
fit when the hypothesized distribution function depends on unknown parameters. Tests …

Abstract Specification or stochastic modeling of data is an important step in statistical
analysis of data. Karl Pearson was the first to recognize this problem and introduce a …

This paper outlines with modern notations the proof of Karl Pearson on the distribution of the
statistic on which the chi-squared goodness of fit test with simple null hypothesis is based. It …

Statistical model building is an iterative process between estimation and criticism. In
estimation, a model is fitted to the data and assumed correct. In criticism, the fitted model is …

Because model misspecification can lead to inconsistent and inefficient estimators and
invalid tests of hypotheses, testing for misspecification is critically important. The IOS test is a …