Chi-Square Test Expected Range and Expected Values

Expected Range. By default, each distinct value of the variable is defined as a category. To establish categories within a specific range, select Use specified range and enter integer values for lower and upper bounds. Categories are established for each integer value within the inclusive range, and cases with values outside of the bounds are excluded. For example, if you specify a value of 1 for Lower and a value of 4 for Upper, only the integer values of 1 through 4 are used for the chi-square test.

Expected Values. By default, all categories have equal expected values. Categories can have user-specified expected proportions. Select Values, enter a value that is greater than 0 for each category of the test variable, and then click Add. Each time you add a value, it appears at the bottom of the value list. The order of the values is important; it corresponds to the ascending order of the category values of the test variable. The first value of the list corresponds to the lowest group value of the test variable, and the last value corresponds to the highest value. Elements of the value list are summed, and then each value is divided by this sum to calculate the proportion of cases expected in the corresponding category. For example, a value list of 3, 4, 5, 4 specifies expected proportions of 3/16, 4/16, 5/16, and 4/16.