I have a question regarding goodness-of-fit tests. A general rule of thumb with the chi-square test of goodness of fit is that (1) no more than 20% of your expected frequencies can be less than five, and (2) none of your expected frequencies can be less than one. However, I am dealing with a data set with some small expected frequencies, and I am wondering if anyone can suggest an alternate text.
For example, in one case, I have expected frequencies of 8.2 for group 1 and 0.8 for group 2, and my observed frequencies are 5 for group 1 and 4 for group 2. Running a chi square test would violate assumptions 1 and 2 above. Again, I would appreciate any guidance about a possible alternative goodness-of-fit test to use in this instance.
For example, in one case, I have expected frequencies of 8.2 for group 1 and 0.8 for group 2, and my observed frequencies are 5 for group 1 and 4 for group 2. Running a chi square test would violate assumptions 1 and 2 above. Again, I would appreciate any guidance about a possible alternative goodness-of-fit test to use in this instance.