ArticleBiometrics2017
Model-robust inference for continuous threshold regression models.
Article in Biometrics, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- A reaction norm for flowering time plasticity reveals physiological footprints of maize adaptation.G3 (Bethesda, Md.) · 2025Article
- Case Report: A health system's experience using clinical decision support to promote note sharing after the 21st Century Cures Act.JAMIA open · 2025Article
- Temperature thresholds induce abrupt shifts in biodiversity and ecosystem services in montane ecosystems worldwide.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Blood biomarkers differentiate AD-related versus non-AD-related cognitive deficits.Alzheimer's & dementia : the journal of the Alzheimer's Association · 2025Article
- Article
- L-Lysine supplementation affects dietary protein quality and growth and serum amino acid concentrations in rats.Scientific reports · 2023Article
- Simultaneous Maximum Likelihood Estimation for Piecewise Linear Instrumental Variable Models.Entropy (Basel, Switzerland) · 2022Article
- Change-point analysis of lambda-cyhalothrin efficacy against soybean aphid (Aphis glycines Matsumura): identifying practical resistance from field efficacy trials.Pest management science · 2022Article
- Change Point Inference in the Presence of Missing Covariates for Principal Surrogate Evaluation in Vaccine Trials.Biometrika · 2021Article
- Fast Grid Search and Bootstrap-based Inference for Continuous Two-phase Polynomial Regression Models.Environmetrics · 2021Article
- Threshold-based subgroup testing in logistic regression models in two-phase sampling designs.Journal of the Royal Statistical Society. Series C, Applied statistics · 2021Article
- Methods for generalized change-point models: with applications to human immunodeficiency virus surveillance and diabetes data.Statistics in medicine · 2020Article
- Evaluation of Flow Pattern in the Ascending Aorta in Patients with Repaired Tetralogy of Fallot Using Four-Dimensional Flow Magnetic Resonance Imaging.Korean journal of radiology · 2019Article
- Fast Bootstrap Confidence Intervals for Continuous Threshold Linear Regression.Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America · 2019Article
- chngpt: threshold regression model estimation and inference.BMC bioinformatics · 2017Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
We study threshold regression models that allow the relationship between the outcome and a covariate of interest to change across a threshold value in the covariate. In particular, we focus on continuous threshold models, which experience no jump at the threshold. Continuous threshold regression functions can provide a useful summary of the association between outcome and the covariate of interest, because they offer a balance between flexibility and simplicity. Motivated by collaborative works in studying immune response biomarkers of transmission of infectious diseases, we study estimation of continuous threshold models in this article with particular attention to inference under model misspecification. We derive the limiting distribution of the maximum likelihood estimator, and propose both Wald and test-inversion confidence intervals. We evaluate finite sample performance of our methods, compare them with bootstrap confidence intervals, and provide guidelines for practitioners to choose the most appropriate method in real data analysis. We illustrate the application of our methods with examples from the HIV-1 immune correlates studies.
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Registered trials
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