Estimate of Subject Specific Index of Relative Performance in ‘K’ Samples
American Journal of Theoretical and Applied Statistics
Volume 2, Issue 6, November 2013, Pages: 154-165
Received: Sep. 18, 2013; Published: Oct. 20, 2013
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Authors
Oyeka Ikewelugo Cyprian Anaene, Department of Statistics, Nnamdi Azikiwe University Awka, Nigeria
Okeh Uchechukwu Marius, Department of Industrial Mathematics and Applied Statistics, Ebonyi State University Abakaliki, Nigeria
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Abstract
This paper proposes and develops a statistic here termed the ‘relative performance index’ or the index of relative performance’ by subjects both within and between several sampled populations for preferentially rank-ordering subjects by their relative performance in comparison with other subjects from these populations involved in a test or contest. The proposed index would enable decisions on the preferential selection of subjects both within and between various classifications for management purposes. The proposed method enables the estimation of the median and other tiles of not only each of the sampled populations but also the common median of the several populations as functions of the relative performance indices. The method unlike some other methods used for the analysis of many samples is based mostly on individual subjects rather than on only summary indices or averages. Test statistics also based on subject specific relative performance indices are developed to test desired hypothesis concerning population. The proposed indices being subject specific rather than merely summary averages easily enables one to more clearly and succinctly examine individual subjects relative performance or level of seriousness in a condition in comparison with other subjects from the sampled populations thereby providing subject targeted information to better guide any interventionist actions on a condition of research interest. The method is illustrated with some data and shown to compare favorably with some existing methods.
Keywords
Rank-Order, Subject Specific, Relative Performance Index, Preferential Selection, Management, Combined Population
To cite this article
Oyeka Ikewelugo Cyprian Anaene, Okeh Uchechukwu Marius, Estimate of Subject Specific Index of Relative Performance in ‘K’ Samples, American Journal of Theoretical and Applied Statistics. Vol. 2, No. 6, 2013, pp. 154-165. doi: 10.11648/j.ajtas.20130206.12
References
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Oyeka ICA (2009). An Introduction to Applied Statistics Methods, (Eight Edition) Nobern Avocation Publishing Company, Enugu. pp. 56-141.
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Oyeka CA, Ebuh GU, Nwankwo CC, Obiora-Ilouno H, Ibeakuzie PO, Utazi C (2010). A Statistical Comparison of Test Scores: A Non- Parametric Approach. J. Math. Sci. 21(1):77-87.
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