Chi-square goodness-of-fit test — setup.

medium

Answer

${\chi}^{2}\; = \;{\Sigma}$
$Uses: is a die fair?$
$Does a dataset follow Poisson?$
$E_{i}$
$Modern alternatives: G-test (likelihood ratio), Kolmogorov-Smirnov (continuous), Anderson-Darling (heavier weight on tails).$

Check yourself — multiple choice

Only for continuous data
${\chi}^{2}$ test that observed frequencies match expected; df = k - 1 - #params estimated; $E_{i}$ ≥ 5 needed
Same as independence
Requires normality

Goodness-of-fit ${\chi}^{2}$ : O vs E frequencies; adjust df for estimated params.

#hypothesis-testing#parametric-tests

215 interview questions in this topic.