Sanni, O. O. M.Abidoye, A. O.Ikoba, N. A.2018-12-182018-12-182016-08-01Sanni, 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); 193-199,0001-3099http://hdl.handle.net/123456789/1417Pearson’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.enGoodness-of-fitchi-squarescalar multipliersmall expected cell frequencyindependence hypothesisArticle