Comparison of the average and the median as estimators of the mean for normal samples depending on the sample size

Authors

  • José W. Camero Jiménez Facultad de Ingeniería Económica, Estadística y Ciencias Sociales, Universidad Nacional de Ingeniería. Lima, Perú.
  • Jahaziel G. Ponce Sánchez Facultad de Ingeniería Económica, Estadística y Ciencias Sociales, Universidad Nacional de Ingeniería. Lima, Perú.

DOI:

https://doi.org/10.21754/tecnia.v23i2.73

Keywords:

sampling size, confidence interval, average, median

Abstract

Currently the methods for estimating the mean are those based on the confidence interval of the average or sample mean. This paper aims to help you choose the estimator (average or median) to use depending on the sample size. For this we have generated, via simulation in EXCEL, samples with normal distribution and confidence intervals for both estimators, and by hypothesis tests for the difference of proportions show that method is better depending on the sample size. 

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References

[1] Arcos Cebrián A., Rueda García M., Martínez Miranda M., Gonzales Aguilera S., “Intervalos de confianza alternativos para los cuantiles de una población finita”, Estadística Española, Vol. 44, Núm. 149, pp. 69 a 88.

[2] Peró Cebollero M., Guardía Olmos J., Freixa Blanxart M., Turbany J., “Técnicas basadas en la mediana como alternativas a pruebas clásicas de decisión, Psicothema, Vol. 20, Nº 004, 2008.

[3] Mendenhall, William. Scheaffer, Richard l. Wackerly, Dennis D., “Estadística matemática con aplicaciones”. Grupo Editorial Iberoamericana.

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Published

2013-12-01

How to Cite

[1]
J. W. Camero Jiménez and J. G. Ponce Sánchez, “Comparison of the average and the median as estimators of the mean for normal samples depending on the sample size”, TEC, vol. 23, no. 2, pp. 33–38, Dec. 2013.

Issue

Vol. 23 No. 2 (2013)

Section

Articles

License

Copyright (c) 2013 TECNIA

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