A two-sample distribution-free scale test of the Smirnov type

被引：0
|
作者：
Rothan, AM
Gideon, RA
机构：
[1] ST CATHERINES COLL,DEPT MATH SCI,ST PAUL,MN 55105
[2] UNIV MONTANA,DEPT MATH SCI,MISSOULA,MT 59812
来源：
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 1996年 / 25卷 / 03期
关键词：
Smirnov two-sample statistics; scale test;
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：
The two-sample, distribution-free statistics of Smimov (1939) are used to define a new statistic. While the Smimov statistics are used as a general goodness-of-fit test, a distribution-free scale test based on this new statistic is developed. It is shown that this new test has higher power than the two-sided Smimov statistic in detecting differences in scale for some symmetric distributions with equal means/medians. The critical values of the proposed test statistic and its limiting distribution are given.
引用
收藏
页码：785 / 800
页数：16
相关论文
共 50 条
  • [1] An adaptive distribution-free test for the general two-sample problem
    Büning, H
    [J]. COMPUTATIONAL STATISTICS, 2002, 17 (02) : 297 - 313
  • [2] A distribution-free test of parallelism for two-sample repeated measurements
    Vossoughi, Mehrdad
    Ayatollahi, S. M. T.
    Towhidi, Mina
    Heydari, Seyyed Taghi
    [J]. STATISTICAL METHODOLOGY, 2016, 30 : 31 - 44
  • [3] An adaptive distribution-free test for the general two-sample problem
    Herbert Büning
    [J]. Computational Statistics, 2002, 17 : 297 - 313
  • [4] OUTLIER RESISTANT DISTRIBUTION-FREE TESTS FOR TWO-SAMPLE SCALE PROBLEM
    Joshi, V. B.
    Shetty, I. D.
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2009, 5 (02): : 563 - 577
  • [5] A distribution-free two-sample equivalence test allowing for tied observations
    Wellek, S
    Hampel, B
    [J]. BIOMETRICAL JOURNAL, 1999, 41 (02) : 171 - 186
  • [6] Distribution-free two-sample homogeneity test for circular data based on distance
    Ali, Ahmed Jebur
    Abushilah, Samira Faisal
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 2703 - 2711
  • [7] On distribution-free tests for the multivariate two-sample location-scale model
    Rousson, V
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2002, 80 (01) : 43 - 57
  • [8] A distribution-free two-sample run test applicable to high-dimensional data
    Biswas, Munmun
    Mukhopadhyay, Minerva
    Ghosh, Anil K.
    [J]. BIOMETRIKA, 2014, 101 (04) : 913 - 926
  • [9] Dominance refinements of the Smirnov two-sample test
    Di Bucchianico, A
    Loeb, DE
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 66 (01) : 51 - 60
  • [10] Distribution-free two-sample comparisons in the case of heterogeneous variances
    Markus Neuhäuser
    Graeme D. Ruxton
    [J]. Behavioral Ecology and Sociobiology, 2009, 63 : 617 - 623
12345