Partitioning the total Chi-square statistic for matched dichotomous data
Partitioning the total Chi-square statistic for matched dichotomous data
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.
Oyeka, C. A.
9466452d-e661-412a-9055-4177b95f7c04
Afuecheta, Emmanuel
b36828ea-11d2-46bb-a537-637738fe9427
Ebuh, G.U.
5180d5b7-47a9-4f37-95c8-6c75c0d2bde4
Nnanatu, Chibuzor Christopher
24be7c1b-a677-4086-91b4-a9d9b1efa5a3
Obiora-Ilouno, H. O.
d20ce991-ff55-4d80-ac5a-0e5d557ca960
16 May 2012
Oyeka, C. A.
9466452d-e661-412a-9055-4177b95f7c04
Afuecheta, Emmanuel
b36828ea-11d2-46bb-a537-637738fe9427
Ebuh, G.U.
5180d5b7-47a9-4f37-95c8-6c75c0d2bde4
Nnanatu, Chibuzor Christopher
24be7c1b-a677-4086-91b4-a9d9b1efa5a3
Obiora-Ilouno, H. O.
d20ce991-ff55-4d80-ac5a-0e5d557ca960
Oyeka, C. A., Afuecheta, Emmanuel, Ebuh, G.U., Nnanatu, Chibuzor Christopher and Obiora-Ilouno, H. O.
(2012)
Partitioning the total Chi-square statistic for matched dichotomous data.
International Journal of Mathematics and Computation, 16 (3).
Abstract
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.
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Published date: 16 May 2012
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Local EPrints ID: 458127
URI: http://eprints.soton.ac.uk/id/eprint/458127
PURE UUID: 43d91de3-34d6-423d-8710-b443608e7bb7
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Date deposited: 28 Jun 2022 17:24
Last modified: 13 Jun 2024 02:02
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Author:
C. A. Oyeka
Author:
Emmanuel Afuecheta
Author:
G.U. Ebuh
Author:
Chibuzor Christopher Nnanatu
Author:
H. O. Obiora-Ilouno
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