Multiple testing

Testing many hypotheses requires controlling an appropriate combined error measure.

Different ways to understand it

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Bootstrap
Resampling observed data estimates sampling variability under appropriate conditions.
Stationary time series
Stationarity imposes time-shift invariance on distributions or specified moments.
Analysis of variance
ANOVA partitions variation to test mean differences under model assumptions.
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.