Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Use of spurious correlation for multiplicity adjustment   We consider one of the most basic multiple testing problems that compares
expectations of multivariate data among several groups. As a test statistic, a
conventional (approximate) $t$-statistic is considered, and we determine its
rejection region using a common rejection limit. When there are unknown
correlations among test statistics, the multiplicity adjusted $p$-values are
dependent on the unknown correlations. They are usually replaced with their
estimates that are always consistent under any hypothesis. In this paper, we
propose the use of estimates, which are not necessarily consistent and are
referred to as spurious correlations, in order to improve statistical power.
Through simulation studies, we verify that the proposed method asymptotically
controls the family-wise error rate and clearly provides higher statistical
power than existing methods. In addition, the proposed and existing methods are
applied to a real multiple testing problem that compares quantitative traits
among groups of mice and the results are compared.

19
The categories of this paper are: eess
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an