Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Convex hull test for ordered categorical data

V W Berger1, T Permutt, A Ivanova

  • 1Food and Drug Administration, Center for Biologics Evaluation and Research, Rockville, Maryland 20852-1448, USA. bergerv@cber.fda.cov

Biometrics
|February 13, 1999
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Precision Measurement of Neutrino Oscillation Parameters with 10 Years of Data from the NOvA Experiment.

Physical review letters·2026
Same author

Dual-Baseline Search for Active-to-Sterile Neutrino Oscillations in NOvA.

Physical review letters·2025
Same author

Studies on the significance of secretory IgA antibodies in the pathogenesis and clinical course of enterobiasis in infected persons from Bulgaria: preliminary findings.

Helminthologia·2025
Same author

Search for CP-Violating Neutrino Nonstandard Interactions with the NOvA Experiment.

Physical review letters·2024
Same author

INFLAMMATORY FACTORS IN DISSECTION OF THORACIC AORTIC ANEURYSM.

Georgian medical news·2024
Same author

Comparison of Preimplantation Mouse Embryos with Different Genetic Backgrounds as Models for Evaluating Human Embryo Culture Media Composition.

Reproductive sciences (Thousand Oaks, Calif.)·2024
Same journal

Fast penalized generalized estimating equations for large longitudinal functional datasets.

Biometrics·2026
Same journal

Causally-interpretable random-effects meta-analysis.

Biometrics·2026
Same journal

Statistical inference for mean function of partially observed functional time series.

Biometrics·2026
Same journal

Subgroup identification via Interaction Tree and Mixed Model for Repeated Measures with application to Alzheimer's disease.

Biometrics·2026
Same journal

Finite mixtures of linear quantile regressions with concomitant variables: a solution to endogeneity in longitudinal data modeling.

Biometrics·2026
Same journal

Discussion on "INTACT: a method for integration of longitudinal physical activity data from multiple sources" by Jingru Zhang, Erjia Cui, Hongzhe Li, and Haochang Shou.

Biometrics·2026
See all related articles

Researchers explored statistical tests for ordered contingency tables. The Smirnov and convex hull tests offer improved power compared to linear rank tests, especially under specific margin conditions, ensuring more reliable significance detection.

Area of Science:

  • Statistics
  • Biostatistics
  • Data Analysis

Background:

  • Testing for stochastic order in 2 x J contingency tables often involves setting significance cutoffs based on marginal distributions.
  • Linear rank tests, while common, can exhibit zero power for certain alternatives given specific marginal conditions.

Purpose of the Study:

  • To evaluate alternative statistical tests for stochastic order in ordered contingency tables.
  • To identify tests that maintain power across various marginal conditions and alternatives.

Main Methods:

  • Exact conditional power calculations were employed.
  • Simulations were conducted to assess test performance.
  • The study focused on Smirnov and convex hull tests in comparison to linear rank tests.

Related Experiment Videos

Main Results:

  • Smirnov and convex hull tests effectively avoid the power drawback of linear rank tests.
  • The convex hull test demonstrates admissibility, palindromic invariance, and optimal significance level minimization.
  • These tests maintain power even when margins satisfy specific conditions.

Conclusions:

  • The Smirnov and convex hull tests are superior to linear rank tests for detecting stochastic order in ordered contingency tables.
  • The convex hull test offers robust performance and desirable statistical properties for hypothesis testing.
  • These findings advocate for the use of Smirnov and convex hull tests in relevant statistical analyses.