Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 'Too Many, Too Improbable' test statistics: A general method for testing
  joint hypotheses and controlling the k-FWER   Hypothesis testing is a key part of empirical science and multiple testing as
well as the combination of evidence from several tests are continued areas of
research. In this article we consider the problem of combining the results of
multiple hypothesis tests to i) test global hypotheses and ii) make marginal
inference while controlling the k-FWER. We propose a new family of combination
tests for joint hypotheses, which we show through simulation to have higher
power than other combination tests against many alternatives. Furthermore, we
prove that a large family of combination tests -- which includes the one we
propose but also other combination tests -- admits a quadratic shortcut when
used in a \CTP, which controls the FWER strongly. We develop an algorithm that
is linear in the number of hypotheses for obtaining confidence sets for the
number of false hypotheses among a collection of hypotheses and an algorithm
that is cubic in the number of hypotheses for controlling the k-FWER for any k
greater than one.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con