An Approximation for the Exact Distribution of the Wilcoxon Test for Symmetry

Autor:	D. J. Stoker, S. A. Fellingham
Rok vydání:	1964
Předmět:	Statistics and Probability Normal distribution Wilcoxon signed-rank test Sample size determination Mathematical analysis Order (group theory) Interval (mathematics) Statistics Probability and Uncertainty Edgeworth series Exact distribution Symmetry (physics) Mathematics
Zdroj:	Journal of the American Statistical Association. 59:899-905
ISSN:	1537-274X 0162-1459
Popis:	An approximation of the exact distribution of the Wilcoxon test for symmetry by means of an Edgeworth series is derived. Probabilities are computed for sample sizes N = 10(1)26(2)42(3)48,50,100, and the accuracy investigated and compared with that of the normal approximation. The Edgeworth expansion gives a very satisfactory approximation for N ≥ 15 (maximum error 20 where no exact probabilities are readily available, the accuracy of the normal distribution is investigated relative to the Edgeworth expansion to terms of order 1/N 2. The validity of this procedure is established by calculating certain exact probabilities in the interval studied, for values of N = 21, 22 and 25. The Edgeworth expansion to terms of order 1/N is readily computed and gives the same deg...
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8fe0ef1e20ce5bc86c729db8f0cfd3ca https://doi.org/10.1080/01621459.1964.10480738 Zobrazit plný text záznamu