Shetty, I. D.; Govindarajulu, Z.; Bhat, Sharada V. A class of distribution-free tests for testing homogeneity against ordered location alternatives. (English) Zbl 0925.62169 Commun. Stat., Theory Methods 27, No. 3, 747-760 (1998). Summary: A class of distribution-free tests for the \(k\)-sample location problem is proposed. The proposed class of test statistics is based on a linear combination of two-sample \(U\)-statistics proposed by I. D. Shetty and Sharada V. Bhat [Stat. Prob. Letters 19, 199-204 (1994; Zbl 0795.62045)]. The optimal weights are determined and the optimum values of subsample sizes for which the test attains maximum efficacy are obtained. Some ARE comparisons are made. Cited in 5 Documents MSC: 62G10 Nonparametric hypothesis testing Keywords:\(k\)-sample problem; distribution-free; sub-sample; Pitman asymptotic relative efficiency; positive definite Citations:Zbl 0795.62045 PDFBibTeX XMLCite \textit{I. D. Shetty} et al., Commun. Stat., Theory Methods 27, No. 3, 747--760 (1998; Zbl 0925.62169) Full Text: DOI References: [1] Amita, J.Indian Statist. Assoc. 27 pp 1– (1989) [2] Bartholomew D.J., J.Roy. Statist. Soc. B. 23 pp 239– (1961) [3] DOI: 10.1214/aoms/1177704017 · Zbl 0116.11104 · doi:10.1214/aoms/1177704017 [4] Deshpande J.V., J.Indian Statist.Assoc. 19 pp 9– (1982) [5] Gibbons J.D., Nonparametric Statistical inference, (1971) · Zbl 0223.62050 [6] Govindarajulu Z., Proceedings of the symposium to honour Jerzy Neyman. pp 91– (1977) [7] Jonckheer A.R., Biometrika, 4 pp 133– (1954) [8] Kudo A., Biometrika, 50 pp 403– (1963) [9] DOI: 10.1214/aoms/1177704018 · Zbl 0203.21106 · doi:10.1214/aoms/1177704018 [10] Narinderkumar, Commun.in Statistics,T&M, 23 pp 1247– (1994) · Zbl 0825.62131 · doi:10.1080/03610929408831317 [11] Narinderkumar, South African Statist.J., 28 pp 55– (1994) [12] DOI: 10.1002/cpa.3160180108 · Zbl 0135.19602 · doi:10.1002/cpa.3160180108 [13] Randles R.H., Introduction to the Theory of nonparametric Statistics, (1979) · Zbl 0529.62035 [14] DOI: 10.1002/9780470316436 · Zbl 0256.62002 · doi:10.1002/9780470316436 [15] Shetty I.D., Comm.Statist.Theory and methods. 17 pp 2389– (1988) · Zbl 0642.62030 · doi:10.1080/03610928808829752 [16] DOI: 10.1016/0167-7152(94)90105-8 · Zbl 0795.62045 · doi:10.1016/0167-7152(94)90105-8 [17] DOI: 10.1214/aos/1176342557 · Zbl 0275.62041 · doi:10.1214/aos/1176342557 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.