When using the χ² tests for independence, one should be aware that expected frequencies that are too small will lead to too big a type I error.

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This is because the χ² tests assume that the expected frequencies are based on large enough samples, and when the expected frequencies are too small, the assumptions of the test may not hold, leading to higher type I error rates.

When Using the χ2 Tests for Independence, One Should Be

When Using the χ² Tests for Independence, One Should Be