Science Journal Of Mathematics and Statistics, Volume
2014 (2014), January 2014
ISSN:2276-6324
© Author(s) 2014. This work is distributed under the Creative Commons Attribution 3.0 License.
Research Article
Statistical Analysis of Maximum (Minimum) Scores in 'C' Matched Samples
Author: 1.Oyeka I.C.A, 2Okeh U.M, 3Ogbonna L.N
1Department of Statistics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria.
2,3Department of Industrial Mathematics and Applied Statistics, Ebonyi State University Abakaliki,Nigeria.
Accepted 15th August, 2014; Available Online 13 January, 2014
doi: 10.7237/sjms/107
Abstract:
This paper proposes a statistical method for the analysis of maximum (or minimum) scores or performances by subjects in a series of tests and for testing the hypothesis that subjects are on the average equally likely to achieve, perform or earn highest(best, largest) scores or grades under a set of judges, treatment conditions, time periods or locations. The sampled populations may be measurements on as low as the ordinal scale and need not be continuous or numeric. Necessary test statistic is developed that may also be used to determine which of the treatment levels may account for any possible rejection of the initial null hypothesis. The proposed method is illustrated with some sample data and shown to be at least as powerful as the Cochran Q test.
Keyword:C-matched, Degree of freedom, Chi-square test, Cochran Q test, treatment,maximum scores, minimum scores.