Nonparametric test for two independent groups

Authors

  • Luis Emilio Huamanchumo de la Cuba Facultad de Ingeniería Económica, Estadística y CCSS, Universidad Nacional de Ingeniería, Lima, Perú
  • José William Camero Jiménez Facultad de Ingeniería Económica, Estadística y CCSS, Universidad Nacional de Ingeniería, Lima, Perú
  • Kesber Angulo Sánchez Facultad de Ingeniería Económica, Estadística y CCSS, Universidad Nacional de Ingeniería, Lima, Perú

DOI:

https://doi.org/10.21754/tecnia.v17i1.384

Keywords:

Wilcoxon's test, normal distribution, correction for continuity, tied observations

Abstract

This paper presents a new nonparametric test for two independent samples. It has been decided to make the inference, using all the possible differences between the comments of the two samples, and has used the Wilcoxon method for treatment, but with a different attitude when faced with a couple of comments that did not numerically presents difference, it not removed from the analysis. This test proves to be suitable from small samples (n = 5) and is very sensitive to detect significant differences between the populations from which the samples were taken. The most important thing in this test, it is also able to check when each sample has all his remarks equals (S12= S22 = 0), a problem which does not exceed t-Student test or Mann-Whitney test due to the correction for draws.

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References

[1] Siegel, S., “Non parametric statistics for the behavioural sciences”. McGraw Book Company. New York, USA, pp. 143-155. 1990.
[2] Montanari, G., Ranalli G., “Non parametric Methods in Survey Sampling”, Developments in Classification and Data Analysis. Springer Berlin Heidelberg, 2005.
[3] Lehmann, E. L., "Theory of point Estimation”, John Wiley & Sons, New York, pp. 25-28, 1983.
[4] Alonso, M., Finn, E., “Flsica”, Vol. I Mecànica, Fondo Educativo Interamericano, S. A. México, pp. 15-16, 1971.
[5] Mataix, C., “Elementos de Estadlstica Matemàtica”, 2‘ Ed. Dossat, S. A. España, pp. 128-130, 1960.

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Published

2007-06-01

How to Cite

[1]
L. E. Huamanchumo de la Cuba, J. W. Camero Jiménez, and K. Angulo Sánchez, “Nonparametric test for two independent groups”, TEC, vol. 17, no. 1, pp. 67–74, Jun. 2007.

Issue

Vol. 17 No. 1 (2007)

Section

Articles

License

Copyright (c) 2007 TECNIA

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