My question is about the Chi Square goodness-of-fit test. Not to be mistaken with the test for association or the test for correlation (both called Chi Square).

Let's say I have following variable 'education' (fictive example):
- high school: 10
- college: 4
- university: 3

Now we can know for instance that the distribution for the general population is:
- high school: 100
- college: 40
- university: 30

In this case I have a small sample size. If I run the Chi Square I might run into the problem of: '1 cell (50%) have expected frequencies less than 5'. In that case we cannot use the Chi Square. We can try to combine categories to overcome this problem, but that's not always possible. So I wonder, what alternative is there then? And how to perform it in SPSS?


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