Statistics (III) ANOVA in Data Science & Machine Learning

Chi-squared distribution (χ2 distribution)

Source

F-distribution

Source

ANOVA (Analysis of Variance)

Assumption

  • a simple random sample, each member has an equal probability of being chosen.
  • observations are independent of others.
  • groups are independent groups,
  • each group has a large sample size (as a rough guide, it is greater than 20) or groups are normally distributed, and
  • the SD of each group is roughly the same.

Sum of Square (SS)

Source F-table
Source

Post-hoc Pairwise Comparison

Two-way ANOVA

  1. H₀: gender has no impact on the outcome of the treatment.
  2. H₀: level of the dose has no impact on the outcome of the treatment.
  3. H₀: Gender and dose interaction has no impact on the treatment.

R-squared (Coefficient of determination)

Links

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