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@@ -90,11 +90,9 @@ When analyzing an MRF, we often want to compare competing hypotheses:
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-**Edge presence vs. edge absence** (conditional dependence vs. independence) in one-sample designs.
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-**Parameter difference vs. parameter equivalence** in independent-sample designs.
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Frequentist approaches are limited in such comparisons: they can reject a null hypothesis, but they cannot provide evidence *for* it.
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As a result, when an edge or difference is excluded, it remains unclear whether this reflects true absence or simply insufficient power.
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Frequentist approaches are limited in such comparisons: they can reject a null hypothesis, but they cannot provide evidence *for* it. As a result, when an edge or difference is excluded, it remains unclear whether this reflects true absence or simply insufficient power.
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Bayesian inference avoids this problem.
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Using **inclusion Bayes factors**[@HuthEtAl_2023_intro; @SekulovskiEtAl_2024], we can quantify evidence in both directions:
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Bayesian inference avoids this problem. Using **inclusion Bayes factors**[@HuthEtAl_2023_intro; @SekulovskiEtAl_2024], we can quantify evidence in both directions:
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-**Evidence of edge presence** vs. **evidence of edge absence**, or
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-**Evidence of parameter difference** vs. **evidence of parameter equivalence**.
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