Experimental design

Randomization, controls and replication structure studies to distinguish effects from confounding.

Different ways to understand it

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Analysis of variance
ANOVA partitions variation to test mean differences under model assumptions.
Logistic regression
A logistic link models binary-event probability through a linear predictor.
Autocorrelation
Autocorrelation measures dependence between a process and its lagged values.
Bayes theorem
Bayes theorem relates conditional probabilities in opposite directions using prior probabilities and a nonzero evidence probability.
Bayesian inference
Prior and likelihood combine into a posterior distribution through Bayes' rule.