| Автор | Reynolds, Marion R. |
| Автор | Bakir, Saad T. |
| Дата выпуска | 1985 |
| dc.description | A class of nonparametric sequential tests for testing symmetry about a specified value is developed for the case where observations are taken in groups. Signed rank statistics are computed indepently for each group and the test is based on the sum of these statistics used with linear boundaries. The procedure is formulated as a Markov chain so that the exact small sample properties of the test can be evaluated. The asymtotic OC and ASN functions are developed for local alternatives. For the case where Wilcoxon scores are used tables are given which make it easy to design a test to achieve specified error probabilities. |
| Формат | application.pdf |
| Издатель | Marcel Dekker, Inc. |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | sequential nonparametric test |
| Тема | Wilcoxon statistic |
| Тема | sequential probability ratio test |
| Тема | Markov chain |
| Название | A class of sequential grouped signed rank tests |
| Тип | research-article |
| DOI | 10.1080/07474948508836077 |
| Electronic ISSN | 1532-4176 |
| Print ISSN | 0747-4946 |
| Журнал | Sequential Analysis |
| Том | 4 |
| Первая страница | 153 |
| Последняя страница | 177 |
| Выпуск | 3 |
| Библиографическая ссылка | Bakir, Saad T. and Reynolds, Marion R. Jr. 1979. A Nonparametric Procedure for Process Control Based on Within Group Ranking. Technometrics, 21: 175–183. |
| Библиографическая ссылка | Billingsley, Patrick. 1968. Convergence of Probability Measures, New York: Wiley. |
| Библиографическая ссылка | Davies, Owen L. 1956. The Design and Analysis of Industrial Experiments, London: Oliver and Boyd. (ed.) |
| Библиографическая ссылка | Madsen, Richard W. and Hewett, John E. 1978. Multi—Stage Tests Based on Sequential Ranks. J. Statist. Comput. Simul., 7: 93–105. |
| Библиографическая ссылка | Markowski, Edward P. 1984. The Mean of Linear Signed Rank Statistics Under Alternatives. Commun. Statist. Theor. Meth., 13(15): 1915–1918. |
| Библиографическая ссылка | Randles, Ronald H. and Wolfe, Douglas A. 1979. Introduction to the Theory of Nonparametric Statistics, New York: Wiley. |
| Библиографическая ссылка | Searle, G.C.L. 1974. A Note on a sequential Group t—Test. Austral. J. Statist., 16: 20–25. |
| Библиографическая ссылка | Sen, Pranab K. 1981. Sequential Nonparametrics, New York: Wiley. |
| Библиографическая ссылка | Weed, Harrison D. Jr. and Bradley, Ralph A. 1971. Sequential One—Sample Grouped Signed Rank Tests for Symmetry: Basic Procedures. J. Amer. Statist. Assoc., 66: 321–326. |
| Библиографическая ссылка | Weed, Harrison D. Jr. and Bradley, Ralph A. 1973. Sequential One—Sample Grouped Signed Rank Tests for Symmetry : Monte Carlo Studies. J. Statist. Comput. Simul., 2: 99–137. |
| Библиографическая ссылка | Woodall, Willian H. and Reynolds, Marion R. Jr. 1983. A Discreate Markov Chain Representation of the Sequential Probability Radio Test. Sequential Analysis, 2: 27–44. |
