Rayner, J. C. W.; McAlevey, L. G. Smooth goodness of fit tests for categorised composite null hypotheses. (English) Zbl 0716.62046 Stat. Probab. Lett. 9, No. 5, 423-429 (1990). Summary: We construct a class of smooth goodness of fit tests of a composite multinomial null hypothesis. This class includes the Pearson-Fisher \(X^ 2\) test and its components, composite extensions of J. C. W. Rayner’s [ibid. 6, No.4, 257-261 (1988; Zbl 0664.62041)] overlapping tests and cell focusing tests. Simulations are given for a Poisson null. Cited in 1 ReviewCited in 1 Document MSC: 62G10 Nonparametric hypothesis testing Keywords:Pearson-Fisher X square test; score test; size; smooth alternatives; nuisance prameters; overlapping cells tests; smooth goodness of fit tests; composite multinomial null hypothesis; components; cell focusing tests; Simulations Citations:Zbl 0664.62041 PDFBibTeX XMLCite \textit{J. C. W. Rayner} and \textit{L. G. McAlevey}, Stat. Probab. Lett. 9, No. 5, 423--429 (1990; Zbl 0716.62046) Full Text: DOI References: [1] Andrews, D. F.; Herzberg, A. M., Data (1985), Springer: Springer New York [2] Best, D. J.; Rayner, J. C.W., Partitioning the equiprobable \(X^2\) statistic for testing uniformity, New Zealand Statistician, 17, 1, 29-33 (1982) [3] Best, D. J.; Rayner, J. C.W., Goodness-of-fit for grouped data using components of Pearson’s \(X^2\), Comput. Statist. Data Anal., 5, 53-57 (1987) [4] Cox, D. R.; Hinkley, D. V., Theoretical Statistics (1974), Chapman and Hall: Chapman and Hall London · Zbl 0334.62003 [5] Hall, P., Tailor-made tests of goodness of fit, J. Roy. Statist. Soc. Ser. B, 47, 125-131 (1985) · Zbl 0576.62058 [6] Rayner, J. C.W., Constructing a usable overlapping cells \(X^2\) goodness of fit test, Statist. Probab. Lett., 6, 257-261 (1987) · Zbl 0664.62041 [7] Rayner, J. C.W.; Best, D. J., Smooth tests of goodness of fit for regular distributions, Comm. Statist.—Theory Methods, 17, 10, 3235-3267 (1989) · Zbl 0696.62068 [8] Rayner, J. C.W.; Best, D. J., Smooth Tests of Goodness of Fit (1989), Oxford University Press: Oxford University Press New York · Zbl 0731.62064 [9] Rayner, J. C.W.; Best, D. J.; Dodds, K. G., The construction of the simple \(X^2\) and Neyman smooth goodness of fit tests, Statist. Neerlandica, 39, 35-40 (1985) · Zbl 0592.62034 [10] Snedecor, G. W.; Cochran, W. G., Statistical Methods (1982), Iowa State Univ. Press: Iowa State Univ. Press Ames, IA · Zbl 0727.62003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.