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Articles

Two new classes of nonparametric tests for scale parameters

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Pages 3093-3105 | Received 12 Feb 2019, Accepted 13 Jul 2020, Published online: 28 Jul 2020

References

  • Mood AM. On the asymptotic efficiency of certain nonparametric two-sample tests. Ann Math Stat. 1954;25(3):514–522. doi: 10.1214/aoms/1177728719
  • Sukhatme BV. On certain two-sample nonparametric tests for variances. Ann Math Stat. 1957;28(1):188–194. doi: 10.1214/aoms/1177707046
  • Kochar SC, Gupta RP. Some competitors of the mood test for the two-sample scale problem. Commun Stat Theory Methods. 1986;15(1):231–239. doi: 10.1080/03610928608829117
  • Kössler W. Restrictive adaptive tests for the treatment of the two-sample scale problem. Comput Stat Data Anal. 1994;18:513–524. doi: 10.1016/0167-9473(94)90081-7
  • Kössler W. Rank tests in the two-sample scale problem with unequal and unknown locations. Stat Pap. 1999;40:13–35. doi: 10.1007/BF02927108
  • Öztürk Ö. A generalization of Ahmad’s class of Mann-Whitney-Wilcoxon statistics. Aust New Zealand J Stat. 2001;43(1):67–74. doi: 10.1111/1467-842X.00155
  • Kössler W, Kumar N. An adaptive test for the two-sample scale problem based on U-statistics. Commun Stat Simul Comput. 2010;39(9):1785–1802. doi: 10.1080/03610918.2010.518268
  • Marozzi M. Levene type tests for the ratio of two scales. J Stat Comput Simul. 2011;81(7):815–826. doi: 10.1080/00949650903499321
  • Marozzi M. A distribution free test for the equality of scales. Commun Stat Simul Comput. 2012;41(6):878–889. doi: 10.1080/03610918.2012.625335
  • Kumar N, Goyal M. A general class of non parametric tests for comparing scale parameters. Commun Stat Theory Methods. 2018;47(24):5956–5972. doi: 10.1080/03610926.2017.1404099
  • Deshpande JV, Kusum K. A test for the nonparametric two sample scale problem. Aust J Stat. 1984;26(1):16–24. doi: 10.1111/j.1467-842X.1984.tb01263.x
  • Kusum K. A new distribution-free test for two-sample scale problem. J Indian Stat Assoc. 1985;23:97–107.
  • Mehra KL, Rao KSM. A class of two-sample nonparametric tests for scale based on subsample extrema. In: 80th Indian Science Congress conference held at Goa University, Goa; 1992.
  • Mahajan KK, Gaur A, Arora S. A nonparametric test for a two-sample scale problem based on subsample medians. Stat Probab Lett. 2011;81:983–988. doi: 10.1016/j.spl.2011.01.018
  • Kössler W, Kumar N. An adaptive test for the two-sample scale problem where the common quantile may be different from the median. Stat Methodol. 2016;29:10–17. doi: 10.1016/j.stamet.2015.08.001
  • Goyal M, Kumar N. Non-parametric tests for testing of scale parameters. J Mod Appl Stat Methods. 2020. Accepted for Publication.
  • Goyal M, Kumar N. A generalization of the Sukhatme’s test for two-sample scale problem. J Stat Theor Appl. 2019;18(2):155–170.
  • Manly BFJ. Randomization and Monte Carlo methods in biology. London: Chapman and Hall; 1991.
  • Lehmann EL. Robust estimation in analysis of variance. Ann Math Stat. 1963;34(3):957–966. doi: 10.1214/aoms/1177704018

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