Statistics › Section K · The chi-square distribution › Topic K.2
Goodness-of-fit test
Is the die fair? Do subscribers spread across plans the way the company claims? Do Mendel's peas follow the 9:3:3:1 ratio? The goodness-of-fit test asks whether one categorical variable's observed counts fit a claimed distribution - and the chi-square family prices the answer.
In this topic
- Does the data fit the claim?
- Expected counts from the claim
- The statistic and its df
- Conditions: expected counts large enough
- Worked example: the streamer's claim
- Worked example: Mendel's peas
- The right tail only
- Common mistakes to avoid
- Key takeaways
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