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We introduce a nonresponse mechanism for multivariate missing data in which each study variable and its nonresponse indicator are conditionally independent given the remaining variables and their nonresponse indicators. This is a…

Methodology · Statistics 2016-09-05 Mauricio Sadinle , Jerome P. Reiter

With nonignorable missing data, likelihood-based inference should be based on the joint distribution of the study variables and their missingness indicators. These joint models cannot be estimated from the data alone, thus requiring the…

Statistics Theory · Mathematics 2017-01-06 Mauricio Sadinle , Jerome P. Reiter

We outline a framework for multiple imputation of nonignorable item nonresponse when the marginal distributions of some of the variables with missing values are known. In particular, our framework ensures that (i) the completed datasets…

Methodology · Statistics 2020-11-12 Olanrewaju Akande , Jerome P. Reiter

Often, government agencies and survey organizations know the population counts or percentages for some of the variables in a survey. These may be available from auxiliary sources, for example, administrative databases or other high quality…

Methodology · Statistics 2020-11-12 Olanrewaju Akande , Gabriel Madson , D. Sunshine Hillygus , Jerome P. Reiter

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

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

We present an approach for modeling and imputation of nonignorable missing data. Our approach uses Bayesian data integration to combine (1) a Gaussian copula model for all study variables and missingness indicators, which allows arbitrary…

Methodology · Statistics 2024-11-19 Joseph Feldman , Jerome P. Reiter , Daniel R. Kowal

Missing data often result in undesirable bias and loss of efficiency. These issues become substantial when the response mechanism is nonignorable, meaning that the response model depends on unobserved variables. To manage nonignorable…

Methodology · Statistics 2024-12-30 Kenji Beppu , Jinung Choi , Kosuke Morikawa , Jongho Im

Survey data collection often is plagued by unit and item nonresponse. To reduce reliance on strong assumptions about the missingness mechanisms, statisticians can use information about population marginal distributions known, for example,…

Methodology · Statistics 2024-06-10 Yanjiao Yang , Jerome P. Reiter

Nonmonotone missing data arise routinely in empirical studies of social and health sciences, and when ignored, can induce selection bias and loss of efficiency. In practice, it is common to account for nonresponse under a missing-at-random…

Methodology · Statistics 2017-07-20 Eric J. Tchetgen Tchetgen , Linbo Wang , BaoLuo Sun

We propose a structural equation model, which reduces to a multidimensional latent class item response theory model, for the analysis of binary item responses with non-ignorable missingness. The missingness mechanism is driven by two sets…

Methodology · Statistics 2014-10-21 Silvia Bacci , Francesco Bartolucci

During the past few decades, missing-data problems have been studied extensively, with a focus on the ignorable missing case, where the missing probability depends only on observable quantities. By contrast, research into non-ignorable…

Methodology · Statistics 2019-08-06 Yukun Liu , Pengfei Li , Jing Qin

Missing data problems arise in many applied research studies. They may jeopardize statistical inference of the model of interest, if the missing mechanism is nonignorable, that is, the missing mechanism depends on the missing values…

Statistics Theory · Mathematics 2015-09-15 Wang Miao , Peng Ding , Zhi Geng

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

The regularization approach for variable selection was well developed for a completely observed data set in the past two decades. In the presence of missing values, this approach needs to be tailored to different missing data mechanisms. In…

Methodology · Statistics 2017-07-31 Jiwei Zhao , Yang Yang , Yang Ning

When a missing-data mechanism is NMAR or non-ignorable, missingness is itself vital information and it must be taken into the likelihood, which, however, needs to introduce additional parameters to be estimated. The incompleteness of the…

Methodology · Statistics 2014-05-15 Kosuke Morikawa , Yutaka Kano

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

We propose a variational autoencoder architecture to model both ignorable and nonignorable missing data using pattern-set mixtures as proposed by Little (1993). Our model explicitly learns to cluster the missing data into missingness…

Machine Learning · Statistics 2021-03-08 Sahra Ghalebikesabi , Rob Cornish , Luke J. Kelly , Chris Holmes

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

Methodology · Statistics 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras
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