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Different hypotheses tested in various data scenarios
| Hypothesis | strong | weak |
|---|---|---|
| Null | β = 0 and log (α) = 0 | β ≠ 0 and log (α) = 0 |
| Alternative | β ≠ 0 and log (α) ≠ 0 | β = 0 and log (α) ≠ 0 |
Note: The BTH model integrates over the mean effect size, β, testing the union of the weak and strong alternative hypotheses against the union of the weak and strong null hypotheses.
