👨‍🔬 Hypothesis tests §

= the process of determining the truth of a 💭 Hypothesis by testing if data set is significant

Parameters §

• θ: population parameter
• 𝜶: significance level = type 1 error rate
• β: test power = type 2 error rate
• N: total number of results
• X: number of true results
• T: critical value

Goal §

prove H0, while:

• keep 𝜶 below a fixed level
• try to minimize β

Is either §

• 🌗 One-sided test
• 🌕 Two-sided test

Tests §

Categorical data: §

• independent, sufficient data size: Chi-squared goodness-of-fit test
• insufficient data size: Fishers exact test
• dependent data: McNemar test

Continuous data: §

• Hypothesis t-tests