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Noncompliance and missing data often occur in randomized trials, which complicate the inference of causal effects. When both noncompliance and missing data are present, previous papers proposed moment and maximum likelihood estimators for…

Methodology · Statistics 2014-09-04 Hua Chen , Peng Ding , Zhi Geng , Xiao-Hua Zhou

Conditional power calculations are frequently used to guide the decision whether or not to stop a trial for futility or to modify planned sample size. These ignore the information in short-term endpoints and baseline covariates, and thereby…

Methodology · Statistics 2019-04-11 Kelly Van Lancker , An Vandebosch , Stijn Vansteelandt

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

International comparisons of hierarchical time series data sets based on survey data, such as annual country-level estimates of school enrollment rates, can suffer from large amounts of missing data due to differing coverage of surveys…

Methodology · Statistics 2025-03-31 Daphne H. Liu , Adrian E. Raftery

This work proposes a non-iterative strategy for missing value imputations which is guided by similarity between observations, but instead of explicitly determining distances or nearest neighbors, it assigns observations to overlapping…

Machine Learning · Statistics 2019-11-25 David Cortes

Bayesian inference provides a flexible way of combining data with prior information. However, quantile regression is not equipped with a parametric likelihood, and therefore, Bayesian inference for quantile regression demands careful…

Statistics Theory · Mathematics 2012-07-24 Yunwen Yang , Xuming He

We study the implications of including many covariates in a first-step estimate entering a two-step estimation procedure. We find that a first order bias emerges when the number of \textit{included} covariates is "large" relative to the…

Econometrics · Economics 2018-07-27 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

Randomization inference is a widely-used and appealing approach for analyzing treatment effects in randomized experiments, as it is finite-sample valid and does not require any distributional assumptions. However, naive application of…

Econometrics · Economics 2026-05-12 Xinran Li , Peizan Sheng , Zeyang Yu

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…

This chapter provides a overview of Bayesian inference, mostly emphasising that it is a universal method for summarising uncertainty and making estimates and predictions using probability statements conditional on observed data and an…

Methodology · Statistics 2010-02-11 Christian P. Robert , Jean-Michel Marin , Judith Rousseau

When studying the association between treatment and a clinical outcome, a parametric multivariable model of the conditional outcome expectation is often used to adjust for covariates. The treatment coefficient of the outcome model targets a…

Methodology · Statistics 2026-05-07 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

We propose a procedure for imputing missing values of time-dependent covariates in a survival model using fully conditional specification. Specifically, we focus on imputing missing values of a longitudinal marker in joint modeling of the…

Methodology · Statistics 2024-03-29 Havi Murad , Nirit Agay , Rachel Dankner

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

Causal inference from observational data can be viewed as a missing data problem arising from a hypothetical population-scale randomized trial matched to the observational study. This links a target trial protocol with a corresponding…

Methodology · Statistics 2022-07-27 Andrew Yiu , Edwin Fong , Stephen Walker , Chris Holmes

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

Methodology · Statistics 2025-01-23 Joseph Feldman , Jerome P. Reiter

Quantitative research in the social and behavioral sciences relies heavily on nonlinear posterior functionals such as indirect effects, standardized coefficients, effect sizes, intraclass correlations, and multilevel variance-explained…

Methodology · Statistics 2026-04-07 Nanyu Luo , Feng Ji

Random-effects meta-analyses have been widely applied in evidence synthesis for various types of medical studies. However, standard inference methods (e.g. restricted maximum likelihood estimation) usually underestimate statistical errors…

Methodology · Statistics 2019-05-13 Shonosuke Sugasawa , Hisashi Noma

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

Clinical decision support using data mining techniques offers more intelligent way to reduce the decision error in the last few years. However, clinical datasets often suffer from high missingness, which adversely impacts the quality of…

Machine Learning · Computer Science 2020-11-20 Xuetong Wu , Hadi Akbarzadeh Khorshidi , Uwe Aickelin , Zobaida Edib , Michelle Peate

The standard approach to Bayesian inference is based on the assumption that the distribution of the data belongs to the chosen model class. However, even a small violation of this assumption can have a large impact on the outcome of a…

Methodology · Statistics 2015-06-22 Jeffrey W. Miller , David B. Dunson