'Do the Chi-Square Test and Fisher's Exact Test Agree in Determining Extreme for 2 × 2 Tables'

摘要

In the article entitled "Do the Chi-Square Test and Fisher's Exact Test Agree in Determining Extreme for 2×2 Tables" (Chen 2011), the author mathematically justified that the Pearson's chi-squared test and Fisher's exact test do not always agree with each other when used to determine extremes for 2×2 tables, obtained one-sided and two-sided conditions under which a disagreement could occur between the two tests when determining extremes, and also examined whether the discrepancy in the two tests in determining extremes would make the analyst draw different conclusions when testing for homogeneity or independence.