Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localizing differences in smooths with simultaneous confidence bounds on
  the true discovery proportion   We demonstrate a method for localizing where two smooths differ using a true
discovery proportion (TDP) based interpretation. The procedure yields a
statement on the proportion of some region where true differences exist between
two smooths, which results from use of hypothesis tests on collections of basis
coefficients parametrizing the smooths. The methodology avoids otherwise ad hoc
means of doing so such as performing hypothesis tests on entire smooths of
subsetted data. TDP estimates are 1-alpha confidence bounded simultaneously,
assuring that the estimate for a region is a lower bound on the proportion of
actual difference, or true discoveries, in that region with high confidence
regardless of the number, location, or size of regions for which TDP is
estimated. Our procedure is based on closed-testing using Simes local test. We
develop expressions for the covariance of quadratic forms because of the
multiple regression framework in which we use closed-testing results, which are
shown to be non-negative in many settings. Our procedure is well-powered
because of a result on the off-diagonal decay structure of the covariance
matrix of penalized B-splines of degree two or less. We demonstrate achievement
of estimated TDP in simulation for different specified alpha levels and degree
of difference and analyze a data set of walking gait of cerebral palsy
patients. Keywords: splines; smoothing; multiple testing; closed-testing;
simultaneous confidence

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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga