Автор |
Balakrishnan, N. |
Автор |
Ma, C.W. |
Дата выпуска |
1990 |
dc.description |
In this paper we consider some of the prominent tests that are available in the literature for the problem of testing the equality of two population variances and compare their performance through an extensive Monte Carlo study. For this purpose we consider the normal distribution and several other symmetric and some skewed alternatives to the normal and also take various choices for the two sample sizes. Based on the simulated values of the level of significance and the power of all these tests, we make some recommendations regarding the usage of these tests. Finally, we also consider a numerical example and illustrate clearly all the test procedures considered in this study. |
Формат |
application.pdf |
Издатель |
Gordon and Breach Science Publishers |
Копирайт |
Copyright Taylor and Francis Group, LLC |
Тема |
Level of significance |
Тема |
power |
Тема |
Monte carlo study |
Тема |
robust tests |
Тема |
MML estimators |
Тема |
order statistics |
Тема |
type-II censored samples |
Тема |
outlier-normal model |
Тема |
mixture-normal |
Тема |
model |
Тема |
non-parametric tests |
Тема |
trimmed mean |
Тема |
p-value |
Название |
A comparative study of various tests for the equality of two opulation variances |
Тип |
research-article |
DOI |
10.1080/00949659008811234 |
Electronic ISSN |
1563-5163 |
Print ISSN |
0094-9655 |
Журнал |
Journal of Statistical Computation and Simulation |
Том |
35 |
Первая страница |
41 |
Последняя страница |
89 |
Аффилиация |
Balakrishnan, N.; Department of Mathematics and Statistics, McMaster Uniuersity |
Аффилиация |
Ma, C.W.; Department of Mathematics and Statistics, McMaster Uniuersity |
Выпуск |
1-2 |
Библиографическая ссылка |
Arnold, B.C. and Balakrishnan, N. 1989. Relations, Bounds and Approximations for Order Statistics, New York: Springer-Verlag. Lecture notes in Statistics No. 53 |
Библиографическая ссылка |
Brown, M.B. and Forsythe, A.B. 1974. Robust tests for the equality of variances. J. Amer. Statist. Assoc, 69: 364–367. |
Библиографическая ссылка |
Conover, W.J. 1980. Practical Nonparametric Statistics, New York: John Wiley and Sons. |
Библиографическая ссылка |
Conover, W.J., Johnson, M.E. and Johnson, M.M. 1981. A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data. Technometrics, 23: 351–361. |
Библиографическая ссылка |
David, H.A. 1981. Order Statistics, New York: John Wiley and Sons. |
Библиографическая ссылка |
Fligner, M.A. and Killeen, T.J. 1976. Distribution-free two-sample tests for scale. J. Amer. Statist. Assoc, 71: 210–213. |
Библиографическая ссылка |
Layard, M.W.J. 1973. Robust large-sample tests for homogeneity of variance. J. Amer. Statist. Assoc, 68: 195–198. |
Библиографическая ссылка |
Levene, H. 1960. “Robust tests for equality of variances”. In Contributions to Probability and Statistics, Edited by: Olkin, I. 278–292. Palo Alto, California: Stanford University Press. |
Библиографическая ссылка |
Ma, C.W. 1988. A Comparative Study of Various Tests for Equality of Population Variances, Hamilton, , Canada: McMaster University. M.Sc. project |
Библиографическая ссылка |
Miller, R.G. 1968. Jackknifing variances. Ann. Math. Statist, 39: 567–582. |
Библиографическая ссылка |
Miller, R.G. 1972. In: "Letters to the Editor,". Technometrics, 14(507) |
Библиографическая ссылка |
Tan, W.Y. 1982. Sampling distributions and robustness of t F and variance-ratio in two samples, and ANOVA models with respect to departure from normality. Commun. Statist, 11(22): 2485–2511. Theor. Meth |
Библиографическая ссылка |
Tan, W.Y. 1985. On Tiku's robust procedure—a Bayesian insight. J. Statist. Plann. Inf, 11(22): 329–340. |
Библиографическая ссылка |
Tiku, M.L. 1964. Approximating the general nonnormal variance-ratio sampling distributions. Biometrika, 51(22): 83–95. |
Библиографическая ссылка |
Tiku, M.L. 1967. Estimating the mean and standard deviation from censored normal samples. Biometrika, 54(22): 155–165. |
Библиографическая ссылка |
Tiku, M.L. 1970. Monte Carlo study of some simple estimators in censored normal samples. Biometrika, 57(22): 207–211. |
Библиографическая ссылка |
Tiku, M.L. 1980. Robustness of MML estimators based on censored samples and robust test statistics. J. Statist. Plann. Inf, 4(22): 123–143. |
Библиографическая ссылка |
Tiku, M.L. 1982. Robust statistics for testing equality of means or variances. Commun. Statist—Theor. Meth, 11(22): 2543–2558. |
Библиографическая ссылка |
Tiku, M.L. and Balakrishnan, N. 1984. Testing equality of population variances the robust way. Commun. Statist.—Theor. Meth, 13(17): 2143–2159. |
Библиографическая ссылка |
Tiku, M.L., Tan, W.Y. and Balakrishnan, N. 1986. Robust Inference, New York: Marcel Dekker. |
Библиографическая ссылка |
Tukey, J.W. and McLaughlin, D.H. 1963. Less vulnerable confidence and significance procedures for location based on a single sample: Trimming/Winsorization I. Sankhyä, 25: 331–352. Series A |