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Ordinal regression refers to classifying object instances into ordinal categories. It has been widely studied in many scenarios, such as medical disease grading, movie rating, etc. Known methods focused only on learning inter-class ordinal…

人工智能 · 计算机科学 2023-07-24 Jinhong Wang , Yi Cheng , Jintai Chen , Tingting Chen , Danny Chen , Jian Wu

A growing number of applications involve settings where, in order to infer heterogeneous effects, a researcher compares various units. Examples of research designs include children moving between different neighborhoods, workers moving…

计量经济学 · 经济学 2024-04-03 Stephane Bonhomme , Angela Denis

In this review, we present econometric and statistical methods for analyzing randomized experiments. For basic experiments we stress randomization-based inference as opposed to sampling-based inference. In randomization-based inference,…

统计方法学 · 统计学 2017-10-26 Susan Athey , Guido Imbens

Linear regression is arguably the most fundamental statistical model; however, the validity of its use in randomized clinical trials, despite being common practice, has never been crystal clear, particularly when stratified or…

统计方法学 · 统计学 2023-02-14 Wei Ma , Fuyi Tu , Hanzhong Liu

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

Regularized regression models are well studied and, under appropriate conditions, offer fast and statistically interpretable results. However, large data in many applications are heterogeneous in the sense of harboring distributional…

统计方法学 · 统计学 2022-10-25 Konstantinos Perrakis , Thomas Lartigue , Frank Dondelinger , Sach Mukherjee

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

统计方法学 · 统计学 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

The analysis of case-control studies with several subtypes of cases is increasingly common, e.g. in cancer epidemiology. For matched designs, we show that a natural strategy is based on a stratified conditional logistic regression model.…

统计方法学 · 统计学 2019-01-23 Nadim Ballout , Cedric Garcia , Vivian Viallon

Hierarchical random effect models are used for different purposes in clinical research and other areas. In general, the main focus is on population parameters related to the expected treatment effects or group differences among all units of…

应用统计 · 统计学 2021-04-07 Maryna Prus , Norbert Benda , Rainer Schwabe

We propose a generalisation of the logistic regression model, that aims to account for non-linear main effects and complex interactions, while keeping the model inherently explainable. This is obtained by starting with log-odds that are…

统计方法学 · 统计学 2024-10-14 Ingrid Hobæk Haff , Simon Boge Brant , Haakon Bakka

We propose an innovative statistical method, called Ordinal Mixed-Effect Random Forest (OMERF), that extends the use of random forest to the analysis of hierarchical data and ordinal responses. The model preserves the flexibility and…

统计方法学 · 统计学 2024-06-06 Giulia Bergonzoli , Lidia Rossi , Chiara Masci

Ordinal categorical data are widely collected in psychology, education, and other social sciences, appearing commonly in questionnaires, assessments, and surveys. Latent class models provide a flexible framework for uncovering unobserved…

机器学习 · 统计学 2026-02-26 Huan Qing

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

统计方法学 · 统计学 2020-02-10 Shonosuke Sugasawa

In this paper we develop a new machine learning estimator for ordered choice models based on the random forest. The proposed Ordered Forest flexibly estimates the conditional choice probabilities while taking the ordering information…

计量经济学 · 经济学 2022-09-09 Michael Lechner , Gabriel Okasa

In including random effects to account for dependent observations, the odds ratio interpretation of logistic regression coefficients is changed from population-averaged to subject-specific. This is unappealing in many applications,…

统计方法学 · 统计学 2025-12-04 Changwoo J. Lee , David B. Dunson

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

统计方法学 · 统计学 2021-05-28 Zixuan Han , Tao Li , Jinhong You

When some treatments are ordered according to the categories of an ordinal categorical variable (e.g., extent of side effects) in a monotone order, one might be interested in knowing wether the treatments are equally effective or not. One…

统计方法学 · 统计学 2014-02-24 Nirian Martín , Raquel Mata , Leandro Pardo

We study two statistical models for short-length categorical (or ordinal) time series. The first one is a regression model based on generalized linear model. The second one is a parametrized Markovian model, particularizing the discrete…

统计理论 · 数学 2016-08-14 Noëlle Bru , Laurence Despres , Christian Paroissin

Researchers often have to deal with heterogeneous population with mixed regression relationships, increasingly so in the era of data explosion. In such problems, when there are many candidate predictors, it is not only of interest to…

统计方法学 · 统计学 2021-02-05 Yan Li , Chun Yu , Yize Zhao , Robert H. Aseltine , Weixin Yao , Kun Chen

Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

大气与海洋物理 · 物理学 2009-01-29 Jochen Bröcker