Statistics › Section K · The chi-square distribution › Topic K.5

Choosing the right chi-square test

Three tests share one statistic: the same formula, the same degrees-of-freedom logic, the same right tail. What differs is the design that produced the counts - and the design, read honestly, names its test.

In this topic

  • One statistic, three tests
  • The decision guide
  • The shared arithmetic
  • Worked example: six scenarios classified
  • Worked example: one table, two designs
  • The 2 x 2 bridge to the z test
  • When none of the three fits
  • Common mistakes to avoid
  • Key takeaways

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