Open Access Open Access  Restricted Access Subscription or Fee Access

Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data

C .A. Oyeka, E. O. Afuecheta, G. U. Ebuh, C. C. Nnanatu, H. O. Obiora-Ilouno


This paper proposes a method of partitioning the total chi-square statistic obtained for matched dichotomous data when the test statistic shows the existence of significant differences between experimental conditions in the response rates by subjects to a specified experimental outcome. Expressions are obtained for the calculation of the total Chi-square values obtained as a result of partitioning and the difference between total and component chi-square values among others. The proposed method enables the determination of those groups or combination of groups of experimental conditions that may be responsible for the existence of significant differences between all the experimental conditions in the response rates by subjects to a specified experimental outcome. The proposed method is illustrated with data.


Chi-square, dichotomous data, null hypothesis.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.