What are the implications of having a small expected frequency in a Chi-square test for goodness of fit?

  • It can cause the Chi-square distribution approximation to be inaccurate
  • It increases the degrees of freedom
  • It leads to a higher power of the test
  • It leads to a smaller Chi-square statistic
If the expected frequency in any category is too small (common rule of thumb is less than 5), the Chi-square distribution approximation may be inaccurate, leading to incorrect conclusions.
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