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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

Researchers regularly perform conditional prediction using imputed values of missing data. However, applications of imputation often lack a firm foundation in statistical theory. This paper originated when we were unable to find analysis…

Econometrics · Economics 2021-02-24 Charles F Manski , Michael Gmeiner , Anat Tamburc

We propose an l1-regularized likelihood method for estimating the inverse covariance matrix in the high-dimensional multivariate normal model in presence of missing data. Our method is based on the assumption that the data are missing at…

Methodology · Statistics 2012-02-28 Nicolas Städler , Peter Bühlmann

Commonly used methods to analyze incomplete longitudinal clinical trial data include complete case analysis (CC) and last observation carried forward (LOCF). However, such methods rest on strong assumptions, including missing completely at…

Statistics Theory · Mathematics 2007-06-13 Ivy Jansen , Caroline Beunckens , Geert Molenberghs , Geert Verbeke , Craig Mallinckrodt

Nonignorable missing data, where the probability of missingness depends on unobserved values, presents a significant challenge in statistical analysis. Traditional methods often rely on strong parametric assumptions that are difficult to…

Methodology · Statistics 2025-09-19 Yujie Zhao

We present an approach to inform decisions about nonresponse follow-up sampling. The basic idea is (i) to create completed samples by imputing nonrespondents' data under various assumptions about the nonresponse mechanisms, (ii) take…

Methodology · Statistics 2022-09-16 Thais Paiva , Jerry Reiter

Conditions ensuring optimal parameter estimation in the presence of missing data are well established in inference, typically relying on the Missing-at-Random (MAR) assumption. In prediction, similar principles are often assumed to apply.…

Methodology · Statistics 2026-03-19 Pierre Catoire , Robin Genuer , Cecile Proust-Lima

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

Methodology · Statistics 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

Missing values pose a persistent challenge in modern data science. Consequently, there is an ever-growing number of publications introducing new imputation methods in various fields. The present paper attempts to take a step back and…

Statistics Theory · Mathematics 2026-01-21 Jeffrey Näf , Erwan Scornet , Julie Josse

Statistical models are central to machine learning with broad applicability across a range of downstream tasks. The models are controlled by free parameters that are typically estimated from data by maximum-likelihood estimation or…

Machine Learning · Computer Science 2023-08-16 Vaidotas Simkus , Benjamin Rhodes , Michael U. Gutmann

Nonmonotone missing data is a common problem in scientific studies. The conventional ignorability and missing-at-random (MAR) conditions are unlikely to hold for nonmonotone missing data and data analysis can be very challenging with few…

Methodology · Statistics 2022-07-07 Gang Cheng , Yen-Chi Chen , Maureen A. Smith , Ying-Qi Zhao

Missing data is a ubiquitous challenge in data analysis, often leading to biased and inaccurate results. Traditional imputation methods usually assume that the missingness mechanism is missing-at-random (MAR), where the missingness is…

Methodology · Statistics 2026-03-30 Huiming Xie , Fei Xue , Xiao Wang

Missing data are inevitable in longitudinal studies. Traditional methods, such as the full information maximum likelihood (FIML), are commonly used to handle ignorable missing data. However, they may lead to biased model estimation due to…

Applications · Statistics 2024-01-01 Dandan Tang , Xin Tong

Classical semiparametric inference with missing outcome data is not robust to contamination of the observed data and a single observation can have arbitrarily large influence on estimation of a parameter of interest. This sensitivity is…

Methodology · Statistics 2021-03-02 Eva Cantoni , Xavier de Luna

Missingness is a common occurrence in educational assessment and psychological measurement. It could not be casually ignored as it may threaten the validity of the test if not handled properly. Considering the difference between omitted and…

Methodology · Statistics 2019-04-09 Jinxin Guo

We consider studies where multiple measures on an outcome variable are collected over time, but some subjects drop out before the end of follow up. Analyses of such data often proceed under either a 'last observation carried forward' or…

Methodology · Statistics 2022-07-26 Oliver Dukes , David Richardson , Eric Tchetgen Tchetgen

Although randomized experiments are widely regarded as the gold standard for estimating causal effects, missing data of the pretreatment covariates makes it challenging to estimate the subgroup causal effects. When the missing data…

Statistics Theory · Mathematics 2014-01-08 Peng Ding , Zhi Geng

Missing data occur frequently in empirical studies in health and social sciences, often compromising our ability to make accurate inferences. An outcome is said to be missing not at random (MNAR) if, conditional on the observed variables,…

Methodology · Statistics 2019-01-23 BaoLuo Sun , Lan Liu , Wang Miao , Kathleen Wirth , James Robins , Eric Tchetgen Tchetgen

Conducting valid statistical analyses is challenging in the presence of missing-not-at-random (MNAR) data, where the missingness mechanism is dependent on the missing values themselves even conditioned on the observed data. Here, we…

Methodology · Statistics 2023-06-13 Anna Guo , Jiwei Zhao , Razieh Nabi

Data collected in clinical trials are often composed of multiple types of variables. For example, laboratory measurements and vital signs are longitudinal data of continuous or categorical variables, adverse events may be recurrent events,…

Methodology · Statistics 2023-01-12 Tuo Wang , Rachel Zilinskas , Ying Li , Yongming Qu