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In randomized controlled trials, ordinal outcomes typically improve statistical efficiency over binary outcomes. The treatment effect on an ordinal outcome is usually described by the odds ratio from a proportional odds model, but this…

统计方法学 · 统计学 2026-01-01 Lindsey E. Turner , Carolyn T. Bramante , Thomas A. Murray

A regression model is proposed for the analysis of an ordinal response variable depending on a set of multiple covariates containing ordinal and potentially other variables. The proportional odds model (McCullagh (1980)) is used for the…

统计方法学 · 统计学 2018-04-25 Javier Espinosa , Christian Hennig

Calibration is a vital aspect of the performance of risk prediction models, but research in the context of ordinal outcomes is scarce. This study compared calibration measures for risk models predicting a discrete ordinal outcome, and…

统计方法学 · 统计学 2021-11-19 Michael Edlinger , Maarten van Smeden , Hannes F Alber , Maria Wanitschek , Ben Van Calster

Background: The proportional odds (PO) model is the most common analytic method for ordinal outcomes in randomised controlled trials. While parameter estimates obtained under departures from PO can be interpreted as an average odds ratio,…

统计方法学 · 统计学 2025-07-30 Chris J. Selman , Katherine J. Lee , Steven Y. C. Tong , Mark Jones , Robert K. Mahar

Uncertainty is the only certainty there is. Modeling data uncertainty is essential for regression, especially in unconstrained settings. Traditionally the direct regression formulation is considered and the uncertainty is modeled by…

计算机视觉与模式识别 · 计算机科学 2021-03-26 Wanhua Li , Xiaoke Huang , Jiwen Lu , Jianjiang Feng , Jie Zhou

Ordinal regression is a classification task where classes have an order and prediction error increases the further the predicted class is from the true class. The standard approach for modeling ordinal data involves fitting parallel…

机器学习 · 计算机科学 2022-02-16 Fred Lu , Francis Ferraro , Edward Raff

Ordinal regression (OR, also called ordinal classification) is classification of ordinal data, in which the underlying target variable is categorical and considered to have a natural ordinal relation for the underlying explanatory variable.…

机器学习 · 计算机科学 2025-10-02 Ryoya Yamasaki

Ordinal regression with anchored reference samples (ORARS) has been proposed for predicting the subjective Mean Opinion Score (MOS) of input stimuli automatically. The ORARS addresses the MOS prediction problem by pairing a test sample with…

机器学习 · 计算机科学 2022-07-07 Bin Su , Shaoguang Mao , Frank Soong , Zhiyong Wu

Making informed decisions about model adequacy has been an outstanding issue for regression models with discrete outcomes. Standard assessment tools for such outcomes (e.g. deviance residuals) often show a large discrepancy from the…

统计方法学 · 统计学 2021-04-02 Lu Yang

The analysis of survey data is a frequently arising issue in clinical trials, particularly when capturing quantities which are difficult to measure. Typical examples are questionnaires about patient's well-being, pain, or consent to an…

统计方法学 · 统计学 2024-01-31 Johannes Wieditz , Clemens Miller , Jan Scholand , Marcus Nemeth

The assessment of regression models with discrete outcomes is challenging and has many fundamental issues. With discrete outcomes, standard regression model assessment tools such as Pearson and deviance residuals do not follow the…

统计方法学 · 统计学 2024-01-15 Lu Yang

Ordinal classification models assign higher penalties to predictions further away from the true class. As a result, they are appropriate for relevant diagnostic tasks like disease progression prediction or medical image grading. The…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Adrian Galdran

The main object of investigation in this paper is a very general regression model in optional setting - when an observed process is an optional semimartingale depending on an unknown parameter. It is well-known that statistical data may…

统计理论 · 数学 2021-03-16 Mohamed Abdelghani , Alexander Melnikov , Andrey Pak

This paper is dedicated to a robust ordinal method for learning the preferences of a decision maker between subsets. The decision model, derived from Fishburn and LaValle (1996) and whose parameters we learn, is general enough to be…

人工智能 · 计算机科学 2023-08-08 Hugo Gilbert , Mohamed Ouaguenouni , Meltem Ozturk , Olivier Spanjaard

Ordinal outcomes are common in clinical settings where they often represent increasing levels of disease progression or different levels of functional impairment. Such outcomes can characterize differences in meaningful patient health…

统计方法学 · 统计学 2025-08-29 Zhiqiang Cao , Scott Zuo , Mary Ryan Baumann , Kendra Plourde , Patrick Heagerty , Guangyu Tong , Fan Li

It is often desired that ordinal regression models yield unimodal predictions. However, in many recent works this characteristic is either absent, or implemented using soft targets, which do not guarantee unimodal outputs at inference. In…

机器学习 · 统计学 2021-11-19 Uri Shaham , Igal Zaidman , Jonathan Svirsky

Standard (network) meta-analysis methods for medical test accuracy evaluation analyse the data separately for each test threshold - wasting data - unless every study reports all thresholds. Previously proposed "multiple threshold" models…

Advances in machine learning technologies have led to increasingly powerful models in particular in the context of big data. Yet, many application scenarios demand for robustly interpretable models rather than optimum model accuracy; as an…

机器学习 · 计算机科学 2020-05-07 Lukas Pfannschmidt , Jonathan Jakob , Fabian Hinder , Michael Biehl , Peter Tino , Barbara Hammer

The difference-in-differences (DID) design is widely used in observational studies to estimate the causal effect of a treatment when repeated observations over time are available. Yet, almost all existing methods assume linearity in the…

应用统计 · 统计学 2020-09-29 Soichiro Yamauchi

Ordinal cumulative probability models (CPMs) -- also known as cumulative link models -- such as the proportional odds regression model are typically used for discrete ordered outcomes, but can accommodate both continuous and mixed…

统计方法学 · 统计学 2022-01-11 Nathan T. James , Frank E. Harrell , Bryan E. Shepherd
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