RESEARCH METHODOLOGY

Detailed explanation-1: -The assumption of the Chi-square test is not that the observed value in each cell is greater than 5. It is that the expected value in each cell is greater than 5. (The expected value for each cell is row total*column total/overall total).

Detailed explanation-2: -The more different the observed and expected counts are from each other, the larger the chi-square statistic. Notice in the Observed Data there is a cell with a count of 3. But the expected counts are all >5. If the expected counts are less than 5 then a different test should be used (e.g. Fisher’s Exact Test).

Detailed explanation-3: -The value of the cell expecteds should be 5 or more in at least 80% of the cells, and no cell should have an expected of less than one (3). This assumption is most likely to be met if the sample size equals at least the number of cells multiplied by 5.