Chi Squared Test Statistic Formula. Since the test name itself is chi squared we calculate χ2 using the above formula. A chi square test of independence uses the following null and alternative hypotheses.
Add together all of the quotients from step 3 in order to give us our chi square statistic. Comparing the test statistic value to a critical value determined from the chi square table or by finding the p value using technology. Where o i is the observed value and e i is the expected value.
The data used in calculating a chi square statistic must be random raw mutually exclusive drawn.
The chi square test of independence also known as the chi square test of association which is used to determine the association between the categorical variables. Divide every one of the squared difference by the corresponding expected count. The motivation for performing a chi square goodness of fit test. Number of distinct categories.
