Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logically-consistent hypothesis testing in the hexagon of oppositions   Although logical consistency is desirable in scientific research, standard
statistical hypothesis tests are typically logically inconsistent. In order to
address this issue, previous work introduced agnostic hypothesis tests and
proved that they can be logically consistent while retaining statistical
optimality properties. This paper characterizes the credal modalities in
agnostic hypothesis tests and uses the hexagon of oppositions to explain the
logical relations between these modalities. Geometric solids that are composed
of hexagons of oppositions illustrate the conditions for these modalities to be
logically consistent. Prisms composed of hexagons of oppositions show how the
credal modalities obtained from two agnostic tests vary according to their
threshold values. Nested hexagons of oppositions summarize logical relations
between the credal modalities in these tests and prove new relations.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
37
The categories of this paper are: supr-con