Evidence map›Paper›PMID 38737400›Full record

ArticleJournal of machine learning research : JMLR2020

Minimax Nonparametric Parallelism Test.

Xin Xing, Meimei Liu, Ping Ma, Wenxuan Zhong

Abstract read
In one paragraph

Article in Journal of machine learning research : JMLR, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Estimation and model selection for nonparametric function-on-function regression.Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America · 2022
    Article
  2. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Xin XingDepartment of Statistics, Virginia Tech, Blacksburg, VA, 24061, USA.
Meimei LiuDepartment of Statistics, Virginia Tech, Blacksburg, VA, 24061, USA.
Ping MaDepartment of Statistics, University of Georgia, Athens, GA 30601, USA.
Wenxuan ZhongDepartment of Statistics, University of Georgia, Athens, GA 30601, USA.

Funding

Alzheimer's Disease Neuroimaging Initiative - SupplementU01AG024904 · NIA · NORTHERN CALIFORNIA INSTITUTE RES &EDUC · PI WEINER, MICHAEL W · 2004 to 2015
$121.0M
Novel statistical tools for cell line specific epigenetic analysisR01GM113242 · NIGMS · UNIVERSITY OF GEORGIA · PI ZHONG, WENXUAN · 2014 to 2017
$1.4M
Deciphering the Regulatory Role of Small RNAs on Alternative Splicing R01GM122080 · NIGMS · UNIVERSITY OF GEORGIA · PI MA, PING · 2016 to 2019
$1.3M
NIA NIH HHS U01 AG024904NIGMS NIH HHS R01 GM113242NIGMS NIH HHS R01 GM122080
6 · The paper itself

Abstract

Testing the hypothesis of parallelism is a fundamental statistical problem arising from many applied sciences. In this paper, we develop a nonparametric parallelism test for inferring whether the trends are parallel in treatment and control groups. In particular, the proposed nonparametric parallelism test is a Wald type test based on a smoothing spline ANOVA (SSANOVA) model which can characterize the complex patterns of the data. We derive that the asymptotic null distribution of the test statistic is a Chi-square distribution, unveiling a new version of Wilks phenomenon. Notably, we establish the minimax sharp lower bound of the distinguishable rate for the nonparametric parallelism test by using the information theory, and further prove that the proposed test is minimax optimal. Simulation studies are conducted to investigate the empirical performance of the proposed test. DNA methylation and neuroimaging studies are presented to illustrate potential applications of the test. The software is available at https://github.com/BioAlgs/Parallelism.

Indexed as

asymptotic distributionminimax optimalitynonparametric inferenceparallelism testpenalized least squaressmoothing spline ANOVAWald test

Identifiers

PMID38737400
PMCPMC11086968

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.