Chi-Square Test vs. F Test

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What is the difference between Chi-square test and F Test?


These two statistical procedures are used for different purposes.

The chi-square test is used when you want to know whether there is a statistical difference between two categorical variables (e.g., gender and preferred car color).

The F test, on the other hand, is used when you want to know whether there is a statistical difference between two continuous variables (e.g., height and weight).

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  • Distribution:

    The chi-square test is non parametric. That means this test does not make any assumption about the distribution of the data.

    The F test is a parametric test. It assumes that data are normally distributed and that samples are independent from one another.

    Types of Tests:

    Chi square test:
    - For testing the population variance against a specified value
    - For testing goodness of fit of some probability distribution
    - Testing for independence of two attributes (Contingency Tables)

    F test
    - For testing equality of two variances from different populations
    - For testing equality of several means with technique of ANOVA.

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