메뉴 건너뛰기




Volumn 92, Issue 440, 1997, Pages 1581-1590

An approach to multivariate rank tests in multivariate analysis of variance

Author keywords

Jonckheere Terpstra test; Kruskal Wallis test; Mann Whitney Wilcoxon test; Median test; Orthogonal contrasts; Pitman efficiency

Indexed keywords


EID: 0031312391     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10473680     Document Type: Article
Times cited : (65)

References (39)
  • 3
    • 0039613740 scopus 로고
    • Some Nonparametric Tests for the Multivariate Several Sample Location Problem
    • P. R. Krishnaiah
    • Bhapkar, V. P.(1966), "Some Nonparametric Tests for the Multivariate Several Sample Location Problem," in Multivariate Analysis, ed. P. R. Krishnaiah, pp. 29-41.
    • (1966) Multivariate Analysis , pp. 29-41
    • Bhapkar, V.P.1
  • 4
    • 0039613743 scopus 로고
    • Univariate and Multivariate Multisample Location and Scale Tests
    • P. R. Krishnaiah and P. K. Sen, Amsterdam: North Holland
    • Bhapkar, V. P. (1984), "Univariate and Multivariate Multisample Location and Scale Tests," in Handbook of Statistics, Vol. 4, eds. P. R. Krishnaiah and P. K. Sen, Amsterdam: North Holland, pp. 31-62.
    • (1984) Handbook of Statistics , vol.4 , pp. 31-62
    • Bhapkar, V.P.1
  • 5
    • 0001380193 scopus 로고
    • "On Some Asymptotically Nonparametric Competitors of Hotelling's
    • Bickel, P. J.(1965), "On Some Asymptotically Nonparametric Competitors of Hotelling's T2," Annals of Mathematical Statistics, 45, 160-173.
    • (1965) T2," Annals of Mathematical Statistics , vol.45 , pp. 160-173
    • Bickel, P.J.1
  • 10
    • 0002746259 scopus 로고
    • Non-Parametric Tests for the Bivariate Two-Sample Location Problem
    • Chatterjee, S. K., and Sen, P. K.(1964), "Non-Parametric Tests for the Bivariate Two-Sample Location Problem,"Calcutta Statistical Association Bulletin, 13, 18-58.
    • (1964) Calcutta Statistical Association Bulletin , vol.13 , pp. 18-58
    • Chatterjee, S.K.1    Sen, P.K.2
  • 12
    • 21344492438 scopus 로고
    • Sign Tests in Multidimension: Inference Based on the Geometry of the Point Cloud
    • Chaudhuri, P., and Sengupta, D.(1993), "Sign Tests in Multidimension: Inference Based on the Geometry of the Point Cloud,"Journal of the American Statistical Association, 88, 1363-1370.
    • (1993) Journal of the American Statistical Association , vol.88 , pp. 1363-1370
    • Chaudhuri, P.1    Sengupta, D.2
  • 13
    • 0039613739 scopus 로고
    • Bivariate Nonparametric Tests for the One-Sample Location Problem
    • Dietz, E. J.(1982), "Bivariate Nonparametric Tests for the One-Sample Location Problem,"Journal of the American Statistical Association, 77,163-169.
    • (1982) Journal of the American Statistical Association , vol.77 , pp. 163-169
    • Dietz, E.J.1
  • 19
    • 0037681087 scopus 로고
    • Generalizing Univariate Signed Rank Statistics for Testing and Estimating a Multivariate Location Parameter
    • Hossjer, O., and Croux, C.(1995), "Generalizing Univariate Signed Rank Statistics for Testing and Estimating a Multivariate Location Parameter,"Nonparametric Statistics, 4, 293-308.
    • (1995) Nonparametric Statistics , vol.4 , pp. 293-308
    • Hossjer, O.1    Croux, C.2
  • 21
    • 0040598406 scopus 로고
    • A Quality Index Based on Data Depth and Multivariate Rank Tests
    • Liu, R. Y., and Singh, K.(1993), "A Quality Index Based on Data Depth and Multivariate Rank Tests,"Journal of the American Statistical Association,88, 252-260.
    • (1993) Journal of the American Statistical Association , vol.88 , pp. 252-260
    • Liu, R.Y.1    Singh, K.2
  • 24
    • 0000354169 scopus 로고
    • Multivariate Spatial Sign and Rank Methods
    • Möttonen, J., and Oja, H.(1995), "Multivariate Spatial Sign and Rank Methods,"Nonparametric Statistics, 5, 201-213.
    • (1995) Nonparametric Statistics , vol.5 , pp. 201-213
    • Möttonen, J.1    Oja, H.2
  • 25
    • 0031490487 scopus 로고    scopus 로고
    • On the Efficiency of Multivariate Spatial Sign and Rank Tests
    • Möttonen, J., Oja, H., and Tienari, J.(1997), "On the Efficiency of Multivariate Spatial Sign and Rank Tests,"Annals of Mathematical Statistics,25, 542-552.
    • (1997) Annals of Mathematical Statistics , vol.25 , pp. 542-552
    • Möttonen, J.1    Oja, H.2    Tienari, J.3
  • 26
    • 0040799642 scopus 로고
    • Descriptive Statistics for Multivariate Distributions
    • Oja, H.(1983), "Descriptive Statistics for Multivariate Distributions,"Statistics and Probability Letters, 47, 372-377.
    • (1983) Statistics and Probability Letters , vol.47 , pp. 372-377
    • Oja, H.1
  • 28
  • 30
    • 0008007024 scopus 로고
    • A Class of Rank Order Tests for a General Linear Hypothesis
    • Puri, M. L., and Sen, P. K.(1969), "A Class of Rank Order Tests for a General Linear Hypothesis,"Annals of Mathematical Statistics, 40,1325-1343.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 1325-1343
    • Puri, M.L.1    Sen, P.K.2
  • 32
    • 53549112637 scopus 로고
    • A Distribution-Free Multivariate Sign Test Based on Interdirections
    • Randles, R. H.(1989), "A Distribution-Free Multivariate Sign Test Based on Interdirections,'Journal of the American Statistical Association, 84,1045-1050.
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 1045-1050
    • Randles, R.H.1
  • 36
    • 0000356499 scopus 로고
    • A Survey of Multidimensional Medians
    • Small, C. G.(1990), "A Survey of Multidimensional Medians,"International Statistical Review, 58, 263-277.
    • (1990) International Statistical Review , vol.58 , pp. 263-277
    • Small, C.G.1
  • 37
    • 0040799584 scopus 로고
    • Multivariate Analysis of Variance (MANOVA)
    • Smith, H., Gnanadesikan, R., and Hughes, J. B.(1962), "Multivariate Analysis of Variance (MANOVA),"Biometrics, 18,22-41.
    • (1962) Biometrics , vol.18 , pp. 22-41
    • Smith, H.1    Gnanadesikan, R.2    Hughes, J.B.3
  • 38
    • 84972566199 scopus 로고
    • Multisample and Multivariate Nonparametric Tests Based on U Statistics and Their Asymptotic Efficiencies
    • Sugiura, N.(1965), "Multisample and Multivariate Nonparametric Tests Based on U Statistics and Their Asymptotic Efficiencies,"Osaka Journal of Mathematics, 2, 385-426.
    • (1965) Osaka Journal of Mathematics , vol.2 , pp. 385-426
    • Sugiura, N.1
  • 39
    • 0008385587 scopus 로고
    • Multivariate Nonparametric Several-Sample Tests
    • Tamura, R.(1966), "Multivariate Nonparametric Several-Sample Tests,"Annals of Mathematical Statistics, 37, 611-618.
    • (1966) Annals of Mathematical Statistics , vol.37 , pp. 611-618
    • Tamura, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.