Application of Pearson’s X^2 Test of Independence with Small Expected Cell Frequencies. Abacus

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dc.contributor.authorSanni, O. O. M.
dc.contributor.authorAbidoye, A. O.
dc.contributor.authorIkoba, N. A.
dc.date.accessioned2018-12-18T09:13:12Z
dc.date.available2018-12-18T09:13:12Z
dc.date.issued2016-08-01
dc.description.abstractPearson’s X^2 is re-examined within the context of small expected cell frequency (e_ij< 5), for the Pearson’s X^2 statistic to satisfy the asymptotic approximation to Chi-square distribution. This paper proposes scalar multiplier theta > 0, such that theta(e_ij') ≥ 5, where e_ij' is the smallest expected cell count in the contingency table under consideration. The product of the sample size ‘n’ and ‘theta ’ results in each cell count becoming (theta)n_ij, which does not cause any change in the cell probabilities. Thus the assumption of independence is thereby satisfied. This approach guarantees the safe application of Pearson’s X^2 for test of independence under small expected cell counts with the degrees of freedom also multiplied by theta.en_US
dc.identifier.citationSanni, O. O. M., Abidoye, A. O. and Ikoba, N. A. (2016). Application of Pearson’s X2 Test of Independence with Small Expected Cell Frequencies. Abacus, The Journal of Mathematical Association of Nigeria, 43 (2); 193-199,en_US
dc.identifier.issn0001-3099
dc.identifier.urihttp://hdl.handle.net/123456789/1417
dc.language.isoenen_US
dc.publisherMathematical Association of Nigeriaen_US
dc.relation.ispartofseriesAbacus, The Journal of Mathematical Association of Nigeria;43 (2); 193-199
dc.subjectGoodness-of-fiten_US
dc.subjectchi-squareen_US
dc.subjectscalar multiplieren_US
dc.subjectsmall expected cell frequencyen_US
dc.subjectindependence hypothesisen_US
dc.titleApplication of Pearson’s X^2 Test of Independence with Small Expected Cell Frequencies. Abacusen_US
dc.typeArticleen_US

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