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Fig. 12 | BMC Medical Research Methodology

Fig. 12

From: Bayesian Hodges-Lehmann tests for statistical equivalence in the two-sample setting: Power analysis, type I error rates and equivalence boundary selection in biomedical research

Fig. 12

Differences between precise frequentist hypothesis testing and equivalence testing: Standard NHST for a sharp point null hypothesis H0:θ=0 against its alternative H1:θ≠0 (top left) or, in general, of H0:θ=θ0 against H1:θθ0 (top right); TOST procedure for testing H0:θ<δL orθ>δU (shown in red) against H1:δLθδU (shown in blue) (bottom left) or H0:θ<θ0δL orθ>θ0+δU (shown in red) against H1:θ0δLθθ0+δU (shown in blue) (bottom right)

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