ASYMPTOTIC EXPANSIONS APPLIED TO F-TEST CRITERIA

Autor:	H. C. Howard, Z. Govindarajulu
Rok vydání:	1994
Předmět:	Statistics and Probability education.field_of_study Heuristic Population Symbolic computation Continuation F-test Sample size determination Calculus Applied mathematics Hypergeometric function Asymptotic expansion education Mathematics
Zdroj:	Australian Journal of Statistics. 36:101-113
ISSN:	0004-9581
Popis:	Summary Using asymptotic expansions of the Kummer hypergeometric function, the sequential. F-test criterion is evaluated asymptotically in terms of the sample size. The continuation region inequalities for the test are inverted and expressed in terms of known test criteria. A rapidly converging algorithm for carrying out the sequential procedure is provided. This makes the F-test easier for the practitioner to use. Almost sure finite termination of the sequential. F-test is asserted by appealing to the continuation inequalities and a heuristic asymptotic expansion of the test criterion. Average stopping times of the sequential procedure for a variety of population means and population number configurations are tabulated. The computer symbolic manipulation program MAPLE was used to derive some formulae.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d3e1356161c42ca64a2d31b795f6b23f https://doi.org/10.1111/j.1467-842x.1994.tb00642.x Zobrazit plný text záznamu Plný text