A COMPUTATIONAL APPROACH TEST FOR THE EQUALITY OF TWO MULTIVARIATE NORMAL MEAN VECTORS UNDER HETEROGENEITY OF COVARIANCE MATRICES

被引:0
作者
Gokpinar, Esra [1 ]
Karanfil, Sezen [1 ]
Ebegil, Meral [1 ]
Ozdemir, Yaprak Arzu [1 ]
Gokpinar, Fikri [1 ]
机构
[1] Gazi Univ, Dept Stat, Ankara, Turkey
关键词
computational approach test; parametric bootstrap approach; simulation study; ROBUSTNESS; VARIANCE; JAMES;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, a computational approach test (CAT) was proposed to test the equality of two multivariate normal mean vectors under heterogeneity of covariance matrices. The proposed test was compared with the other popular tests as well as their CAT versions in terms of estimated type I error rate and power. Simulation study shows that the proposed test and CAT versions of tests can be used as a good alternative test to test the equality of two multivariate normal mean vectors under heterogeneity of covariance matrices.
引用
收藏
页码:151 / 177
页数:27
相关论文
共 27 条
  • [1] ALGINA J, 1991, J EDUC STAT, V16, P125, DOI 10.3102/10769986016002125
  • [2] Bennett B.M., 1951, Annals of the Institute of Statistical Mathematics, V2, P87
  • [3] A revisit to the Behrens-Fisher problem: Comparison of five test methods
    Chang, Ching-Hui
    Pal, Nabendu
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2008, 37 (06) : 1064 - 1085
  • [4] Testing the equality of several gamma means: a parametric bootstrap method with applications
    Chang, Ching-Hui
    Lin, Jyh-Jiuan
    Pal, Nabendu
    [J]. COMPUTATIONAL STATISTICS, 2011, 26 (01) : 55 - 76
  • [5] Comparing several population means: a parametric bootstrap method, and its comparison with usual ANOVA F test as well as ANOM
    Chang, Ching-Hui
    Pal, Nabendu
    Lim, Wooi Khai
    Lin, Jyh-Jiuan
    [J]. COMPUTATIONAL STATISTICS, 2010, 25 (01) : 71 - 95
  • [6] A comparison of Type I error rates and power levels for seven solutions to the multivariate Behrens-Fisher problem
    Christensen, WF
    Rencher, AC
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1997, 26 (04) : 1251 - 1273
  • [7] DELAREY N, 1993, S AFR STAT J, V27, P129
  • [8] Gökpinar EY, 2013, HACET J MATH STAT, V42, P581
  • [9] Gökpinar EY, 2012, HACET J MATH STAT, V41, P605
  • [10] Gokpinar F, 2015, HACET J MATH STAT, V44, P1197