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I am comparing three proportions for age categories for categorical variables that have also categories. I used Chi-square test but I found that SPSS gave me a note which is for example: a. 2 cells (33.3%) have expected count less than 5. The minimum expected count is .23.

What is the solution>

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    $\begingroup$ This answer addressed this kind of issue, though you could also perhaps do a version of an exact test for your 2x3 chi-square. $\endgroup$ – Glen_b Apr 23 '13 at 2:12
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One of the assumptions of the chi-square test is that each cell should have an expected count of at least 5. If you have cells with lower expected counts, then they can severely bias your chi-square statistic upward.

In your case, you should run Fisher's Exact Test instead of the traditional chi-square. Fisher's test does not have this assumption. Here is a video showing you how to run the test in SPSS: http://www.youtube.com/watch?v=LynasIsG0xI

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