# Chi-Square Goodness of Fit Test SPSS

• Data entry for the Chi-Square Goodness of Fit Test SPSS.
• How to run the test using Legacy Dialogs.
• What to do if you have unequal expected values.

The chi-square goodness of fit test is used to test for statistical significance between observed and expected frequencies. In other words, we can test how well these two sets “fit.”

## Chi-Square Goodness of Fit Test SPSS: Data Entry

I entered a hypothetical set of grades into SPSS, with one nominal variable (Grades). You could also choose “ordinal.” The grades have value labels of A = 1, B = 2, C = 3, D = 4, and F = 5: I expect that the grades are equally distributed. I have 40 data points, so I would expect to find 8 grades in the A group, 8 in the B group, and so on.

## Running the Test

Step 1: Go to Analyze → nonparametric tests → Legacy Dialogs → Chi-Square. The following dialog box will open: Step 2: Move the test variable (Grades) into the Test Variable List box by clicking “Grades” then the center blue arrow.

Step 3: Click the Options button on the right hand side, then click “Descriptives.”

Step 4: Click “Continue” then click “OK.” The output viewer window will open: The significance (highlighted in red) of .308 is not significant. There isn’t a different between observed and expected frequencies (a p-value lower than .05 means that there is a difference between observed and expected frequencies).

## What Do I Do For Unequal Expected Values?

The default test that I ran above assumes the expected values. Let’s say that historically, you would expect the groups to be unequal as follows:

• A = 5
• B = 10
• C = 10
• D = 10
• F = 5

You can specify this by clicking the “Values” radio button in the Chi-Square Test dialog box (which you opened in Step 1 above) and entering the values in order. Type in a value then click the “Add” button after each entry: Click “OK” to change the output viewer with the new values.

CITE THIS AS:
Stephanie Glen. "Chi-Square Goodness of Fit Test SPSS" From StatisticsHowTo.com: Elementary Statistics for the rest of us! https://www.statisticshowto.com/chi-square-goodness-of-fit-test-spss/