THE CONSTRUCTION OF THE SIMPLE X2AND NEYMAN SMOOTH GOODNESS OF FIT TESTS

DOI10.1111/J.1467-9574.1985.TB01123.XzbMath0592.62034OpenAlexW2012770921MaRDI QIDQ3721608

K. G. Dodds, J. C. W. Rayner, D. J. Best

Publication date: 1985

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9574.1985.tb01123.x

zbMATH Keywords

Legendre polynomialsgoodness of fitnumerical evaluationlocalPitman efficiencynumber of componentsNeyman's smooth testdiscriminating powerPearsonclass constructionX squared test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10)

Related Items (2)

Constructing a usable overlapping cells \(X^ 2\) goodness of fit test ⋮ Smooth goodness of fit tests for categorised composite null hypotheses

Cites Work

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• Unbiasedness of the chi-square, likelihood ratio, and other goodness of fit tests for the equal cell case
• Cell selection in the Chernoff-Lehmann chi-square statistic
• Asymptotic properties of tests based on linear combinations of the orthogonal components of the Cramer-von Mises statistic
• Exact distribution for the chi square test in the one way table
• Exact and approximate distributions of the chi-square statistic for equiprobability
• Power studies of tests for uniformity, II
• Tables of Percentage Points of Pearson's Goodness-of-Fit Statistic for Use with Small Expectations
• THE DIFFERENCE BETWEEN TWO POISSON EXPECTATIONS1
• Power studies of some tests for uniformity
• On the choice of the class intervals in the application of the chi-square test
• The $\chi^2$ Test of Goodness of Fit
• On the Choice of the Number of Class Intervals in the Application of the Chi Square Test

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