메뉴 건너뛰기




Volumn 79, Issue 2, 1999, Pages 349-364

Combinatorics, computer algebra and the Wilcoxon-Mann-Whitney test

Author keywords

05A15; 05A17; 62 04; 62E15; 62E30; 62G10; 65U05; Computer algebra; Gaussian binomial coefficients; Generating functions; Partitions; Recurrences; Wilcoxon Mann Whitney two sample test

Indexed keywords


EID: 0040402927     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(98)00261-4     Document Type: Article
Times cited : (29)

References (14)
  • 3
    • 38249029176 scopus 로고
    • A recurrence formula for the distribution of the Wilcoxon rank sum statistic
    • Brus T. A recurrence formula for the distribution of the Wilcoxon rank sum statistic. Statist. Probab. Lett. 7:1989;161-165.
    • (1989) Statist. Probab. Lett. , vol.7 , pp. 161-165
    • Brus, T.1
  • 4
    • 0005287908 scopus 로고
    • An approximation to the Wilcoxon-Mann-Whitney distribution
    • Buckle, N., Kraft., C.H., van Eeden C., 1969. An approximation to the Wilcoxon-Mann-Whitney distribution. J. Amer. Statist. Assoc. 64, 591-599.
    • (1969) J. Amer. Statist. Assoc. , vol.64 , pp. 591-599
    • Buckle, N.1    Kraft, C.H.2    Van Eeden, C.3
  • 5
    • 0042564204 scopus 로고
    • A note on the distribution of the Wilcoxon rank sum statistic
    • Chang D.K. A note on the distribution of the Wilcoxon rank sum statistic. Statist. Probab. Lett. 13:1992;343-349.
    • (1992) Statist. Probab. Lett. , vol.13 , pp. 343-349
    • Chang, D.K.1
  • 7
    • 0010546929 scopus 로고
    • Significance probabilities of the Wilcoxon test
    • Fix, E., Hodges, J.L. Jr., 1955. Significance probabilities of the Wilcoxon test. Ann. Math. Statist. 26, 301-312.
    • (1955) Ann. Math. Statist. , vol.26 , pp. 301-312
    • Fix, E.1    Hodges J.L., Jr.2
  • 8
    • 0011498754 scopus 로고
    • On q -binomial coefficients and some statistical applications
    • Handa B.R., Mohanty S.G. On. q -binomial coefficients and some statistical applications SIAM J. Math. Anal. 11:1980;1027-1035.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 1027-1035
    • Handa, B.R.1    Mohanty, S.G.2
  • 9
    • 0002322469 scopus 로고
    • On a test whether one of two random variables is stochastically larger than the other
    • Mann H.B., Whitney D.R. On a test whether one of two random variables is stochastically larger than the other. Ann. Math. Statist. 18:1947;50-60.
    • (1947) Ann. Math. Statist. , vol.18 , pp. 50-60
    • Mann, H.B.1    Whitney, D.R.2
  • 10
    • 25344456404 scopus 로고
    • Gaussian binomial coefficients and the enumeration of inversions
    • University of North Carolina, Chapel Hill
    • Pólya, G., 1970. Gaussian binomial coefficients and the enumeration of inversions. Proc. 2nd Chapel Hill Conf. on Combinatorial Mathematics and its Applications. University of North Carolina, Chapel Hill, pp. 381-384.
    • (1970) Proc. 2nd Chapel Hill Conf. on Combinatorial Mathematics and Its Applications , pp. 381-384
    • Pólya, G.1
  • 12
    • 0001343578 scopus 로고
    • Contributions to the theory of rank order statistics: The two-sample case
    • Savage I.R. Contributions to the theory of rank order statistics: the two-sample case. Ann. Math. Statist. 27:1956;590-615.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 590-615
    • Savage, I.R.1
  • 13
    • 0011402350 scopus 로고
    • Some asymptotic formulas for lattice paths
    • Takács L. Some asymptotic formulas for lattice paths. J. Statist. Plan. Inference. 14:1986;123-142.
    • (1986) J. Statist. Plan. Inference , vol.14 , pp. 123-142
    • Takács, L.1
  • 14
    • 0001884644 scopus 로고
    • Individual comparisons by ranking methods
    • Wilcoxon F. Individual comparisons by ranking methods. Biometrics. 1:1945;80-83.
    • (1945) Biometrics , vol.1 , pp. 80-83
    • Wilcoxon, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.