ECDF tests have an advantage over the chi-square goodness-of-fit test on frequencies because an ECDF test treats observations individually.

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ECDF tests plot the empirical cumulative distribution function and compare it to a theoretical distribution, allowing each observation to be considered individually. In contrast, the chi-square goodness-of-fit test compares observed frequencies to expected frequencies and treats them as a group, resulting in less individualized analysis.

ECDF Tests Have an Advantage Over the Chi-Square Goodness-Of-Fit Test