Statistics > Multinomial > Chi-Square Contingency Table

A contingency table contains frequencies corresponding to two variables, one used to categorize rows and another used to categorize columns. A test of independence tests whether the row and column variables in a contingency table are independent. The null hypothesis of such a test is that the row and column are independent. The test statistic for a test of independence in a contingency table is

where the expected frequency of a cell in the contingency table is (row total)(column total)/(grand total). The Chi-Square distribution is used, and the degrees of freedom is given by (number of rows - 1)(number of columns - 1).

When using this utility, you must provide the observed frequencies and the confidence level of the test.

Dialog Inputs

Contingency Table

Significance Level

Enter the significance level in the given text box. The significance level must be between 0 and 1.