| Title:
|
Simultaneous rank test procedures (English) |
| Author:
|
Hušková, Marie |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
33-38 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Simultaneous rank test procedures are proposed for testing of randomness concerning some marginals. The considered test procedures are analogous to those introduced by Krishnaiah for classical normal theory (see Krishnaiah (1965) Ann. Inst. Statist. Math. 17, 35-53). (English) |
| Keyword:
|
simultaneous rank test procedures |
| Keyword:
|
hypothesis of randomness |
| Keyword:
|
marginal distributions |
| Keyword:
|
asymptotic distributions |
| Keyword:
|
quadratic rank statistics |
| MSC:
|
62G10 |
| MSC:
|
62H15 |
| MSC:
|
62H99 |
| idZBL:
|
Zbl 0429.62044 |
| idMR:
|
MR0554089 |
| DOI:
|
10.21136/AM.1980.103835 |
| . |
| Date available:
|
2008-05-20T18:13:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103835 |
| . |
| Reference:
|
[1] Gupta D. S.: On a probability inequality for multivariate normal distribution.Aplikace Matematiky 21 (Í976), 1-4. Zbl 0362.60037, MR 0391382 |
| Reference:
|
[2] Hušková M.: Multivariate rank statistics for testing randomness concerning some marginal distributions.J. Multivariate Anal. 5 (1975), 487-496. MR 0458710, 10.1016/0047-259X(75)90032-9 |
| Reference:
|
[3] Jensen D. R.: The joint distribution of Friedman's $\chi_r^2$-statistics.Ann. Statist. 2 (1974), 311-323. MR 0397981, 10.1214/aos/1176342665 |
| Reference:
|
[4] Jensen D. R.: The joint distribution of traces of Wishart matrices and some applications.Ann. Math. Statist. 41 (1970), 133-145. Zbl 0188.51703, MR 0263201, 10.1214/aoms/1177697194 |
| Reference:
|
[5] Krishnaiah P. R.: On the simultaneous ANOVA and MANOVA tests.Ann. Inst. Statist. Math. 17 (1965), 35 - 53. Zbl 0138.14401, MR 0192592, 10.1007/BF02868151 |
| Reference:
|
[6] Krishnaiah P. R.: Simultaneous test procedures under general MANOVA models.In Multivariate Analysis - II (P. R. Krishnaiah, Ed.) pp. 121-143, Academic Press, New York (1969). MR 0254975 |
| Reference:
|
[7] Roy J.: Step-down procedure in multivariate analysis.Ann. Math. Statist. 29 (1958), 1177-1187. Zbl 0087.33907, MR 0100938, 10.1214/aoms/1177706449 |
| Reference:
|
[8] Roy S. N., and Gnanadesikan R.: Further contributions to multivariate confidence bounds.Biometrika 45 (1957), 581. MR 0090947 |
| Reference:
|
[9] Sen P. K., Krishnaiah P. K.: On a class of simultaneous rank order tests in MANOCOVA.Ann. Inst. Statist. Math. 26 (1974), 135-145. Zbl 0337.62051, MR 0386141, 10.1007/BF02479809 |
| Reference:
|
[10] Šidák Z.: Rectangular confidence regions for the means of multivariate normal distributions.J. Amer. Stat. Assoc. 62 (1967), 626 - 633. MR 0216666 |
| . |
