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

Multiple comparisons for analyzing dichotomous response.

W W Piegorsch1

  • 1Statistics and Biomathematics Branch, National Institute of Environmental Health Sciences, Research Triangle Park, North Carolina 27709.

Biometrics
|March 1, 1991
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

Bayesian model-averaged benchmark dose analysis via reparameterized quantal-response models.

Biometrics·2015
Same author

Comparison of Hyperbolic and Constant Width Simultaneous Confidence Bands in Multiple Linear Regression under MVCS Criterion.

Journal of multivariate analysis·2010
Same author

On a likelihood-based goodness-of-fit test of the beta-binomial model.

Biometrics·2000
Same author

From quantal counts to mechanisms and systems: the past, present, and future of biometrics in environmental toxicology.

Biometrics·2000
Same author

Estimation and testing with overdispersed proportions using the beta-logistic regression model of Heckman and Willis.

Biometrics·2000
Same author

Statistical modeling and analyses of a base-specific Salmonella mutagenicity assay.

Mutation research·2000
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

This study introduces simultaneous confidence intervals for comparing response probabilities in experiments. A new method by Beal (1987) is recommended for accurate results with smaller sample sizes.

Area of Science:

  • Statistics
  • Biostatistics
  • Experimental Design

Background:

  • Dichotomous response models are frequently used in experimental research.
  • Key parameters are the probabilities (pi) of experimental units responding across different treatment levels.
  • Multiple comparisons among these probabilities are essential for drawing valid conclusions.

Purpose of the Study:

  • To develop and evaluate simultaneous procedures for multiple comparisons of response probabilities.
  • To construct simultaneous confidence intervals for functions of these probabilities.
  • To assess the performance of these procedures, particularly in small-to-moderate sample sizes.

Main Methods:

  • Utilizing the asymptotic normality of maximum likelihood estimators for response probabilities (pi).

Related Experiment Videos

  • Applying simultaneous procedures for all pairwise comparisons and comparisons against a control treatment.
  • Conducting Monte Carlo simulations to evaluate the small-sample properties of the proposed methods.

    • Main Results:

    • Standard variance estimation methods yield coverage probabilities below nominal levels for most small-to-moderate sample sizes.
    • Nominal coverage is achieved only for very large sample sizes (total > 300).
    • A reformulated pairwise comparison method (Beal, 1987) demonstrates generally nominal empirical coverage.

    Conclusions:

    • The standard methods for simultaneous confidence intervals in dichotomous response models are unreliable for small-to-moderate sample sizes.
    • The Beal (1987) reformulation provides a robust alternative with generally nominal coverage characteristics.
    • Researchers are advised to use the Beal (1987) method for improved accuracy in pairwise comparisons with limited sample sizes.