ArticleStatistics in medicine2017
Modeling continuous response variables using ordinal regression.
Article in Statistics in medicine, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 123 papers.
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Who cites it
123 citing papers in PubMed.
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- Collagenase injection versus limited fasciectomy surgery to treat Dupuytren's contracture in adult patients in the UK: DISC, a non-inferiority RCT and economic evaluation.Health technology assessment (Winchester, England) · 2024Trial
- The Effect of Adult Smoking Behavior on Children's Exposure to Secondhand Smoke. An Analysis Based on Salivary Cotinine Levels Among Children in Dhaka and Karachi.Nicotine & tobacco research : official journal of the Society for Research on Nicotine and Tobacco · 2024Trial
- Correlates of Plasma NT-proBNP/Cyclic GMP Ratio in Heart Failure With Preserved Ejection Fraction: An Analysis of the RELAX Trial.Journal of the American Heart Association · 2024Trial
- A Placebo-Controlled Trial of Percutaneous Coronary Intervention for Stable Angina.The New England journal of medicine · 2023Trial
- Inverse Probability Weights for Quasicontinuous Ordinal Exposures With a Binary Outcome: Method Comparison and Case Study.American journal of epidemiology · 2023Trial
- Patient-Tailored Interventions to Improve Specialty Medication Adherence: Results from a Prospective Randomized Controlled Trial.The American journal of medicine · 2023Trial
- The relative contributions of biomarkers, disease modifying treatment, and dementia severity to Alzheimer's stigma: A vignette-based experiment.Social science & medicine (1982) · 2022Trial
- Effect of Early High-Dose Vitamin D3 Repletion on Cognitive Outcomes in Critically Ill Adults.Chest · 2021Trial
- Placebo-Controlled Efficacy of Percutaneous Coronary Intervention for Focal and Diffuse Patterns of Stable Coronary Artery Disease.Circulation. Cardiovascular interventions · 2021Trial
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- National Variation in Congenital Heart Surgery Outcomes.Circulation · 2020Trial
- Baseline-adjusted proportional odds models for the quantification of treatment effects in trials with ordinal sum score outcomes.BMC medical research methodology · 2020Trial
- Health Status after Invasive or Conservative Care in Coronary and Advanced Kidney Disease.The New England journal of medicine · 2020Trial
- Health-Status Outcomes with Invasive or Conservative Care in Coronary Disease.The New England journal of medicine · 2020Trial
- Statistical analysis plan for the Maximizing the Efficacy of Sedation and Reducing Neurological Dysfunction and Mortality in Septic Patients with Acute Respiratory Failure trial.Critical care and resuscitation : journal of the Australasian Academy of Critical Care Medicine · 2020Trial
- Effect of Speaking Rate and Sentence Context on Comprehension and Recognition Memory of Degraded Speech.Journal of speech, language, and hearing research : JSLHR · 2026Article
- Association of infrarenal aortic diameter in siblings within the Stockholm abdominal aortic aneurysm screening programme.The British journal of surgery · 2026Article
63 more citing papers are in PubMed but not listed here.
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Authors and funding
4 authors.
Funding
Abstract
We study the application of a widely used ordinal regression model, the cumulative probability model (CPM), for continuous outcomes. Such models are attractive for the analysis of continuous response variables because they are invariant to any monotonic transformation of the outcome and because they directly model the cumulative distribution function from which summaries such as expectations and quantiles can easily be derived. Such models can also readily handle mixed type distributions. We describe the motivation, estimation, inference, model assumptions, and diagnostics. We demonstrate that CPMs applied to continuous outcomes are semiparametric transformation models. Extensive simulations are performed to investigate the finite sample performance of these models. We find that properly specified CPMs generally have good finite sample performance with moderate sample sizes, but that bias may occur when the sample size is small. Cumulative probability models are fairly robust to minor or moderate link function misspecification in our simulations. For certain purposes, the CPMs are more efficient than other models. We illustrate their application, with model diagnostics, in a study of the treatment of HIV. CD4 cell count and viral load 6 months after the initiation of antiretroviral therapy are modeled using CPMs; both variables typically require transformations, and viral load has a large proportion of measurements below a detection limit.
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