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This paper provides further insight into the key concept of missing at random (MAR) in incomplete data analysis. Following the usual selection modelling approach we envisage two models with separable parameters: a model for the response of…

Statistics Theory · Mathematics 2007-06-13 Guobing Lu , John B. Copas

Combining experimental and observational follow-up datasets has received a lot of attention lately. In a time-to-event setting, recent work has used medicare claims to extend the follow-up period for participants in a prostate cancer…

Methodology · Statistics 2022-04-12 Gang Cheng , Yen-Chi Chen , Joseph M. Unger , Cathee Till , Ying-Qi Zhao

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

In cluster-randomized trials (CRTs), missing data can occur in various ways, including missing values in outcomes and baseline covariates at the individual or cluster level, or completely missing information for non-participants. Among the…

Methodology · Statistics 2025-11-06 Bingkai Wang , Fan Li , Rui Wang

We compare two deletion-based methods for dealing with the problem of missing observations in linear regression analysis. One is the complete-case analysis (CC, or listwise deletion) that discards all incomplete observations and only uses…

Methodology · Statistics 2023-05-02 Tianchen Xu , Kun Chen , Gen Li

Missing data is a pervasive challenge spanning diverse data types, including tabular, sensor data, time-series, images and so on. Its origins are multifaceted, resulting in various missing mechanisms. Prior research in this field has…

Machine Learning · Computer Science 2025-03-03 Youran Zhou , Mohamed Reda Bouadjenek , Sunil Aryal

Missing data arise in most applied settings and are ubiquitous in electronic health records (EHR). When data are missing not at random (MNAR) with respect to measured covariates, sensitivity analyses are often considered. These post-hoc…

Methodology · Statistics 2023-07-11 Alexander W. Levis , Rajarshi Mukherjee , Rui Wang , Heidi Fischer , Sebastien Haneuse

Trial-based economic evaluations are typically performed on cross-sectional variables, derived from the responses for only the completers in the study, using methods that ignore the complexities of utility and cost data (e.g. skewness and…

Methodology · Statistics 2018-05-21 Andrea Gabrio , Michael J. Daniels , Gianluca Baio

In this paper we recast the problem of missing values in the covariates of a regression model as a latent Gaussian Markov random field (GMRF) model in a fully Bayesian framework. Our proposed approach is based on the definition of the…

Computation · Statistics 2019-12-24 Virgilio Gómez-Rubio , Michela Cameletti , Marta Blangiardo

Missing data can lead to inefficiencies and biases in analyses, in particular when data are missing not at random (MNAR). It is thus vital to understand and correctly identify the missing data mechanism. Recovering missing values through a…

Methodology · Statistics 2022-12-08 Jack Noonan , Adetola Adedamola Adediran , Robin Mitra , Stefanie Biedermann

Many relevant statistical and econometric models for the analysis of longitudinal data include a latent process to account for the unobserved heterogeneity between subjects in a dynamic fashion. Such a process may be continuous (typically…

Statistics Theory · Mathematics 2011-08-09 Francesco Bartolucci , Silvia Bacci , Fulvia Pennoni

External information, such as prior information or expert opinions, can play an important role in the design, analysis and interpretation of clinical trials. However, little attention has been devoted thus far to incorporating external…

Applications · Statistics 2013-04-24 Minge Xie , Regina Y. Liu , C. V. Damaraju , William H. Olson

We consider functional data which have only been observed on a subset of their domain. This paper aims to develop statistical tests to determine whether the function and the domain over which it is observed are independent. The assumption…

Methodology · Statistics 2025-12-04 Maximilian Ofner , Siegfried Hörmann , David Kraus , Dominik Liebl

Longitudinal data are essential for studying within subject change and between subject differences in change. However, missing data, especially when the observed variables are nonnormal, remain a significant challenge in longitudinal…

Methodology · Statistics 2025-04-21 Dandan Tang , Xin Tong , Jianhui Zhou

Missing data in multiple variables is a common issue. We investigate the applicability of the framework of graphical models for handling missing data to a complex longitudinal pharmacological study of children with HIV treated with an…

Methodology · Statistics 2025-02-12 Anastasiia Holovchak , Helen McIlleron , Paolo Denti , Michael Schomaker

We illustrate a class of conditional models for the analysis of longitudinal data suffering attrition in random effects models framework, where the subject-specific random effects are assumed to be discrete and to follow a time-dependent…

Methodology · Statistics 2014-04-28 Antonello Maruotti

Missing data arises when certain values are not recorded or observed for variables of interest. However, most of the statistical theory assume complete data availability. To address incomplete databases, one approach is to fill the gaps…

In clinical practice and biomedical research, measurements are often collected sparsely and irregularly in time while the data acquisition is expensive and inconvenient. Examples include measurements of spine bone mineral density, cancer…

Machine Learning · Statistics 2021-08-05 Łukasz Kidziński , Trevor Hastie

Missing data is unavoidable in longitudinal clinical trials, and outcomes are not always normally distributed. In the presence of outliers or heavy-tailed distributions, the conventional multiple imputation with the mixed model with…

Methodology · Statistics 2022-03-22 Siyi Liu , Yilong Zhang , Gregory T Golm , Guanghan , Liu , Shu Yang

We present a framework for generating multiple imputations for continuous data when the missing data mechanism is unknown. Imputations are generated from more than one imputation model in order to incorporate uncertainty regarding the…

Applications · Statistics 2013-01-14 Juned Siddique , Ofer Harel , Catherine M. Crespi