Statistical Method Selector > Categorical Data > Two Categories

Fundamentals of Social Statistics by Adam J. McKee

Question: What is your goal?

To determine the appropriate statistical method for analyzing data with two categories, consider whether you are interested in comparing proportions or testing the association between the categories.

Comparing Proportions

If your goal is to compare the proportions between two categories, select this option to explore methods that help determine if there is a significant difference in proportions.

  • Chi-Square Test
    • Use the chi-square test to compare the observed frequencies of two categorical groups to their expected frequencies. This test helps determine if there is a statistically significant difference in proportions between the categories. It is particularly useful for analyzing survey data, voting results, or any scenario where you want to compare categorical outcomes.

Association

If your goal is to test the association between two categories, select this option to explore methods that help determine if there is a significant relationship between the categories.

  • Fisher Exact Test
    • Use Fisher’s exact test for small sample sizes to determine if there is a nonrandom association between two categorical variables. This test is ideal when the sample size is too small for the chi-square test to be reliable. Fisher’s exact test is commonly used in clinical research, biology, and other fields where data may be limited, but precise conclusions about associations are needed.

Choose the option that best matches your analysis goal to proceed.

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Last Modified:  06/13/2024

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