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Distribution-free two-sample homogeneity test for circular data based on geodesic distance | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 221، دوره 13، شماره 1، خرداد 2022، صفحه 2703-2711 اصل مقاله (1.11 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5992 | ||
| نویسندگان | ||
| Ahmed Jebur Ali؛ Samira Faisal Abushilah* | ||
| Department of Mathematics, College of Education for Girls, University of Kufa, Najaf, Iraq | ||
| تاریخ دریافت: 17 شهریور 1400، تاریخ بازنگری: 26 مهر 1400، تاریخ پذیرش: 20 آذر 1400 | ||
| چکیده | ||
| A new distance-based homogeneity test for circular data is considered in this paper. This test statistic could be used with a permutation test to detect the homogeneity between the distributions of two angular groups. A comparison between the proposed test against the Randomisation Watson test (RWT) and Wheeler Watson test (WWT) is addressed as well. The power of the new test has been computed and compared against RWT and WWT powers based on the angular simulated data which have been generated from the von Mises distributions. The simulation study based on the power demonstrates that the proposed statistical test outperforms classical tests. | ||
| کلیدواژه‌ها | ||
| Circular Data؛ Geodesic Distance؛ Von Mises Distribution؛ Randomisation Watson Test؛ Wheeler Watson Test؛ Energy Statistic | ||
| مراجع | ||
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[1] F.H. Clarke, Y.S. Ledyaev, R.J. Stern and P.R. Wolenski, Nonsmooth Analysis and Control Theory, Springer Science and Business Media, 2008. [2] H.Cramer, On the composition of elementary errors, Scand. Actuarial J. 1928(1) (2011) 13—74. [3] S.R. Jammalamadaka and A. Sengupta, Topics in Circular Statistics, Volume 5, World Scientific, 2001. [4] L. Landler, G.D. Ruxton and E.P. Malkemper, Circular data in biology: advice for effectively implementing statistical procedures, Behav. Eco.Sociobio. 72 (2018) 1—10. [5] K. Mardia, A non-parametric test for the bivariate two-sample location problem, J. Royal Stat. Soc. Ser. B 29 (1967) 320-–342. [6] K. Mardia, On Wheeler and Watson’s two-sample test on a circle, Indian J. Stat. Ser. A 31(2) (1969) 177-–190. [7] K.V. Mardia and P.E. Jupp, Directional Statistics, volume 494, John Wiley & Sons, 2009. [8] M.L. Rizzo and G.J. Szekely, Energy distance, Wiley Interdisciplinary Reviews: Comput. Stat. 8 (2016) 27—38. [9] G.J. Szekely and M.L. Rizzo, Energy statistics: A class of statistics based on distances, J. Stat. Plan. Infer. 143 (2013) 1249—1272. [10] S. Wheeler and G.S. Watson, A distribution-free two-sample test on a circle, Biometrika 51(1-2) (1964) 256–257. [11] J.H. Zar, Biostatistical Analysis, Pearson, 2014. | ||
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