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Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data. / Oyeka, C. A.; Afuecheta, E. O.; Ebuh, G. U. et al.
In: International Journal of Mathematics and Computation, Vol. 16, No. 3, 2012.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Oyeka, CA, Afuecheta, EO, Ebuh, GU, Nnanatu, C & OBiora-Ilouno, HO 2012, 'Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data', International Journal of Mathematics and Computation, vol. 16, no. 3. <http://www.ceser.in/ceserp/index.php/ijmc/article/view/2546>

APA

Oyeka, C. A., Afuecheta, E. O., Ebuh, G. U., Nnanatu, C., & OBiora-Ilouno, H. O. (2012). Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data. International Journal of Mathematics and Computation, 16(3). http://www.ceser.in/ceserp/index.php/ijmc/article/view/2546

Vancouver

Oyeka CA, Afuecheta EO, Ebuh GU, Nnanatu C, OBiora-Ilouno HO. Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data. International Journal of Mathematics and Computation. 2012;16(3).

Author

Oyeka, C. A. ; Afuecheta, E. O. ; Ebuh, G. U. et al. / Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data. In: International Journal of Mathematics and Computation. 2012 ; Vol. 16, No. 3.

Bibtex

@article{c97001d67dd24f239ea278df76ef36f4,
title = "Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data",
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.",
keywords = "Chi-square, dichotomous data, null hypothesis",
author = "Oyeka, {C. A.} and Afuecheta, {E. O.} and Ebuh, {G. U.} and Chibuzor Nnanatu and OBiora-Ilouno, {H. O.}",
year = "2012",
language = "English",
volume = "16",
journal = "International Journal of Mathematics and Computation",
issn = "0974-570X",
number = "3",

}

RIS

TY - JOUR

T1 - Partitioning the Total Chi-Square Statistic for Matched Dichotomous Data

AU - Oyeka, C. A.

AU - Afuecheta, E. O.

AU - Ebuh, G. U.

AU - Nnanatu, Chibuzor

AU - OBiora-Ilouno, H. O.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Chi-square

KW - dichotomous data

KW - null hypothesis

M3 - Journal article

VL - 16

JO - International Journal of Mathematics and Computation

JF - International Journal of Mathematics and Computation

SN - 0974-570X

IS - 3

ER -