Автор |
Haber, Michael |
Дата выпуска |
1980 |
dc.description |
Eight goodness of fit tests are compared with respect to their simulated small sample power of detecting an inbreeding alternative to the Hardy-Weinberg null hypothesis. The Pearson's x <sup>2</sup> test is found to be most powerful, and the small rample levels of this test are close to the nominal (x <sup>2</sup>) significance levels. The use of conditional expectations, rather than expected frequencies based on ML estimates, increases the power and improves thc x <sup>2</sup> fit to the true significance level. The small sample powers are also compared to the asymptotic (Pitman) pourer, based on the noncenlral x <sup>2</sup> distribution. |
Формат |
application.pdf |
Издатель |
Gordon and Breach Science Publishers |
Копирайт |
Copyright Taylor and Francis Group, LLC |
Тема |
Chi-square test |
Тема |
conditiosial expectations |
Тема |
Hardy-Weinberg law |
Тема |
inbreeding coefficient |
Тема |
Pitman power |
Название |
A comparative simulation study of the small sample powers of several goodness fit test |
Тип |
research-article |
DOI |
10.1080/00949658008810411 |
Electronic ISSN |
1563-5163 |
Print ISSN |
0094-9655 |
Журнал |
Journal of Statistical Computation and Simulation |
Том |
11 |
Первая страница |
241 |
Последняя страница |
250 |
Аффилиация |
Haber, Michael; Department of Statistics, University of Waterloo |
Выпуск |
3-4 |
Библиографическая ссылка |
Bishop, Y.M.M., Fienberg, S.E. and Holland, P.W. 1975. Discrete Multicariate Analysis: Theory and Practice, Cambridge, Mass: MIT Press. |
Библиографическая ссылка |
Freeman, M.F. and Tukey, J.W. 1950. Transformations related to the angular and the square root. Ann. Math. Statist, 21: 607–611. |
Библиографическая ссылка |
Frosini, B.V. 1976. On the power function of the x <sup>2</sup> test. Metron, 34: 3–36. |
Библиографическая ссылка |
Haynam, G.E. and Leone, F.C. 1965. Analysis of categorical data. Biometrika, 52: 654–660. |
Библиографическая ссылка |
Hutchinson, T.P. 1979. The validity of the chi-squared test when expected frequencies are small: a list of recent research references. Comtnun. Statist, A8: 327–335. |
Библиографическая ссылка |
Kaiser, L.D. and Samaniego, F.J. 1979. On the power of the x <sup>2</sup> goodness of fit test at signal plus noise alternatives. Comtnun. Statist, B8: 75–90. |
Библиографическая ссылка |
Li, C.C. 1976. First Course in Population Genetics, Pacific Grove, Cal: Boxwood Press. |
Библиографическая ссылка |
Nass, C.A.G. 1959. The x <sup>2</sup> test for small expectations in contingency tables, with special reference to accidents and absenteeism. Bioinetrika, 46: 365–385. |
Библиографическая ссылка |
Slakter, M.J. 1968. Accuracy of an approximation to the power of the chi-square goodness of fit test with small but equal expected frequencies. J. Anzer. Statist. Assoc, 63: 912–918. |
Библиографическая ссылка |
Watson, G.S. 1959. Some recent results in chi-square goodness-of-fit tests. Biometrics, 15: 440–468. |
Библиографическая ссылка |
West, E.N. and Kempthorne, O. 1971. A comparison of the chi-square and likelihood ratio tests for composite alternatives. J. Srarist. Comput. Simul, 1: 1–33. |