Fig. 2.

Example 2: LOO weights for ${\mathcal{\mathscr{H}}}_0:𝜃=1/2$ as a function of the number of observations n, where the number of successes k = n/2, evaluated in relation to five different prior specifications for ${\mathcal{\mathscr{H}}}_1$: a ${\mathcal{\mathscr{H}}}_1:𝜃\sim \text{Beta}(1,5)$; b ${\mathcal{\mathscr{H}}}_1:𝜃\sim \text{Beta}(5,5)$; c ${\mathcal{\mathscr{H}}}_1:𝜃\sim \text{Beta}(2,2)$; d ${\mathcal{\mathscr{H}}}_1:𝜃\sim \text{Beta}(1,1)$; and e ${\mathcal{\mathscr{H}}}_1:𝜃\sim \text{Beta}(0.5,0.5)$. The dotted horizontal line indicates the corresponding analytical asymptotic bound. Note that only even sample sizes are displayed (see text for details). Available at https://tinyurl.com/y8azu4hc under CC license https://creativecommons.org/licenses/by/2.0/