×

Distribution-free test for homogeneity against stochastic ordering. (English) Zbl 0638.62036

Summary: Two classes of distribution-free tests for homogeneity of several populations against stochastic ordering are proposed. One class of tests is shown to perform better for homogeneity of scale against ordered alternative, whereas other class of tests is shown to be better for homogeneity of locations against their ordering.

MSC:

62G10 Nonparametric hypothesis testing

References:

[1] Barlow RE, Bartholomew DJ, Bremner JM, Brunk HD (1972) Statistical inference under order restrictions. John Wiley and Sons
[2] Deshpande JV (1978/79) Tests based onc-plets of observations for homogeneity against ordered alternatives. SC Das Memorial volume, Utkal University, pp 19–25
[3] Gore AP, Shanubhogue A (1985) Non-parametric tests for several sample location problem based on sub sample extrema. Commun Statist Theory Meth 14(5):1137–1150 · Zbl 0585.62079 · doi:10.1080/03610928508828966
[4] Govindarajulu Z, Gupta GD (1978) Tests for homogeneity of scale against ordered alternatives. In: Kozesnik J, et al (eds) Trans 8th Praque conference, volume A. Academic Publishing House, Prague, pp 235–245
[5] Govindarajulu Z, Haller JS (1977)c-sample tests of homogeneity against ordered alternatives. In: Bartoszynski, et al (eds) Proc. Symp. to honour Jerzy Neyman. Polish Scientific publishers, Warszawa, pp 91–102 · Zbl 0364.62042
[6] Haller HS Jr (1968) Optimalc-sample rank order procedures for selection and test against slippage and ordered alternatives. Dissertation, Case Institute of Technology
[7] Jonckheere AR (1954) A distribution freek-sample test against ordered alternatives. Biometrika 41:133–145 · Zbl 0058.35304
[8] Puri ML (1965) Some distribution freek-sample rank tests of homogeneity against ordered alternatives. Commun Pure Appl Maths 18:51–63 · Zbl 0135.19602 · doi:10.1002/cpa.3160180108
[9] Puri ML, Sen PK (1971) Non-parametric methods in multivariate analysis. John Wiley, New York
[10] Rao KSM (1982) Non-parametric tests for homogeneity of scale against ordered alternatives. Ann Inst Statist Math part A 34:51–58
[11] Shanubhogue A (1984) Non-parametric tests for homogeneity against scale alternatives. MPhil dissertation (unpublished), University of Poona, Pune
[12] Tryon PV, Hettmansperger TP (1973) A class of non-parametric tests for homogenöeity against ordered alternatives. Ann Statist 1:1061–1070 · 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.