JOURNAL BROWSE
Search
Advanced SearchSearch Tips
KRUSKAL-WALLIS ONE-WAY ANALYSIS OF VARIANCE BASED ON LINEAR PLACEMENTS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
KRUSKAL-WALLIS ONE-WAY ANALYSIS OF VARIANCE BASED ON LINEAR PLACEMENTS
Hong, Yicheng; Lee, Sungchul;
  PDF(new window)
 Abstract
The limiting distribution for the linear placement statistics under the null hypotheses has been provided by Orban and Wolfe [9] and Kim [5] when one of the sample sizes goes to infinity, and by Kim, Lee and Wang [6] when the sample sizes of each group go to infinity simultaneously. In this paper we establish the generalized Kruskal-Wallis one-way analysis of variance for the linear placement statistics.
 Keywords
Kruskal-Wallis one-way analysis of variance;central limit theorem;linear placement statistic;
 Language
English
 Cited by
1.
일원배치법에서 결합위치를 이용한 비모수 검정법,전경아;김동재;

응용통계연구, 2016. vol.29. 4, pp.729-739 crossref(new window)
2.
랜덤화 블록 계획법에서 정렬방법과 선형위치통계량을 이용한 비모수 검정법,한진주;김동재;

응용통계연구, 2016. vol.29. 7, pp.1411-1419 crossref(new window)
1.
Nonparametric method in one-way layout based on joint placement, Korean Journal of Applied Statistics, 2016, 29, 4, 729  crossref(new windwow)
 References
1.
H. Chernoff and I. R. Savage, Asymptotic normality and efficiency of certain nonparametric test statistics, Ann. Math. Statist. 29 (1958), 972-994. crossref(new window)

2.
V. Dupac and J. Hajek, Asymptotic normality of simple linear rank statistics under alternative II., Ann. Math. Statist. 40 (1969), 1992-2017. crossref(new window)

3.
Z. Govindarajulu, L. Le Cam, and M. Raghavachari, Generalizations of theorems of Chernoff and Savage on the asymptotic normality of test statistics, Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66) Vol. I: Statistics, pp. 609-638 Univ. California Press, Berkeley, Calif, 1967.

4.
J. Hajek, Asymptotic normality of simple linear rank statistics under alternatives, Ann. Math. Statist. 39 (1968), 325-346. crossref(new window)

5.
D. Kim, A class of distribution-free treatments versus control tests based on placements, Far East J. Theor. Stat. 3 (1999), no. 1, 19-33.

6.
D. Kim, S. Lee, and W. Wang, The asymptotic behavior of linear placement statistics, Statist. Probab. Lett. 81 (2011), no. 2, 326-336. crossref(new window)

7.
D. Kim and D. A. Wolfe, Properties of distribution-free two-sample procedures based on placements, Far East J. Math. Sci. 1 (1993), no. 2, 179-190.

8.
A. M. Mood, Introduction to the Theory of Statistics, McGraw-Hill, New York, 1950.

9.
J. Orban and D. A. Wolfe, A class of distribution-free two-sample tests based on placements, J. Amer. Statist. Assoc. 77 (1982), no. 379, 666-672. crossref(new window)

10.
R. Pyke and G. R. Shorack, Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems, Ann. Math. Statist. 39 (1968), 755-771. crossref(new window)

11.
F. Wilcoxon, Individual comparisons by ranking methods, Biometrics 1 (1945), no. 6, 80-83. crossref(new window)