A study's contribution to science can be quantified as the Wasserstein-2 distance between the community's prior and posterior distributions over the effect of interest.
In these cases, practitioners can separately report the contribution of the change in mean and change in standard deviation to the overall amount of learning, see Table
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Quantifying How Much Has Been Learned from a Research Study
A study's contribution to science can be quantified as the Wasserstein-2 distance between the community's prior and posterior distributions over the effect of interest.