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After variable selection, standard inferential procedures for regression parameters may not be uniformly valid; there is no finite-sample size at which a standard test is guaranteed to approximately attain its nominal size. This problem is…

Methodology · Statistics 2020-07-07 Oliver Dukes , Vahe Avagyan , Stijn Vansteelandt

In social science researches, causal inference regarding peer effects often faces significant challenges due to homophily bias and contextual confounding. For example, unmeasured health conditions (e.g., influenza) and psychological states…

Methodology · Statistics 2025-04-29 Shanshan Luo , Kang Shuai , Yechi Zhang , Wei Li , Yangbo He

Data analysis based on information from several sources is common in economic and biomedical studies. This setting is often referred to as the data fusion problem, which differs from traditional missing data problems since no complete data…

Methodology · Statistics 2022-04-07 Wei Li , Shanshan Luo , Wangli Xu

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

Examples of "doubly robust" estimator for missing data include augmented inverse probability weighting (AIPWT) models (Robins et al., 1994) and penalized splines of propensity prediction (PSPP) models (Zhang and Little, 2009). Doubly-robust…

Applications · Statistics 2025-09-16 Yaoyuan V. Tan , Carol A. C. Flannagan , Michael R. Elliott

Generalized causal effect estimands, including the Mann-Whitney parameter and causal net benefit, provide flexible summaries of treatment effects in randomized experiments with non-Gaussian or multivariate outcomes. We develop a unified…

Methodology · Statistics 2026-02-27 Xinyuan Chen , Fan Li

Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

Statistics Theory · Mathematics 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

The inflated beta regression model is widely used for modeling continuous proportions with values at the boundaries. Maximum likelihood estimation for these models is well-known for its sensitivity to outliers, which can severely distort…

Methodology · Statistics 2026-05-15 Francisco Felipe Queiroz , Silvia Lopes de Paula Ferrari

This paper proposes a new class of M-estimators that double weight for the twin problems of nonrandom treatment assignment and missing outcomes, both of which are common issues in the treatment effects literature. The proposed class is…

Econometrics · Economics 2020-11-24 Akanksha Negi

Reference based multiple imputation methods have become popular for handling missing data in randomised clinical trials. Rubin's variance estimator is well known to be biased compared to the reference based imputation estimator's true…

Methodology · Statistics 2021-04-30 Jonathan W. Bartlett

Estimating the effect of treatments from natural experiments, where treatments are pre-assigned, is an important and well-studied problem. We introduce a novel natural experiment dataset obtained from an early childhood literacy nonprofit.…

Machine Learning · Statistics 2024-09-10 R. Teal Witter , Christopher Musco

In the presence of heterogeneity between the randomized controlled trial (RCT) participants and the target population, evaluating the treatment effect solely based on the RCT often leads to biased quantification of the real-world treatment…

Methodology · Statistics 2022-10-05 Dasom Lee , Shu Yang , Xiaofei Wang

The marginal structure quantile model (MSQM) provides a unique lens to understand the causal effect of a time-varying treatment on the full distribution of potential outcomes. Under the semiparametric framework, we derive the efficiency…

Methodology · Statistics 2024-02-13 Chao Cheng , Liangyuan Hu , Fan Li

When estimating the treatment effect in an observational study, we use a semiparametric locally efficient dimension reduction approach to assess both the treatment assignment mechanism and the average responses in both treated and…

Methodology · Statistics 2020-10-26 Trinetri Ghosh , Yanyuan Ma , Xavier de Luna

In clinical and epidemiological research doubly truncated data often appear. This is the case, for instance, when the data registry is formed by interval sampling. Double truncation generally induces a sampling bias on the target variable,…

Methodology · Statistics 2023-01-11 Jacobo de Uña-Álvarez

We study estimation and inference for heterogeneous principal causal effects with binary treatments and binary intermediate variables. Principal causal effects are subgroup effects within strata defined by potential values of an…

Methodology · Statistics 2026-03-11 Rui Zhang , Charles R. Doss , Jared D. Huling

Propensity score (PS) methods are widely used to estimate treatment effects in non-randomized studies. Variance is typically estimated using sandwich or bootstrap methods, which can either treat the PS as estimated or fixed. The latter is…

Methodology · Statistics 2025-11-17 Baoshan Zhang , Sean M. O'Brien , Yuan Wu , Laine E. Thomas

We consider inference about a scalar parameter under a non-parametric model based on a one-step estimator computed as a plug in estimator plus the empirical mean of an estimator of the parameter's influence function. We focus on a class of…

Statistics Theory · Mathematics 2019-06-07 Ezequiel Smucler , Andrea Rotnitzky , James M. Robins

Quantitative measurements produced by mass spectrometry proteomics experiments offer a direct way to explore the role of proteins in molecular mechanisms. However, analysis of such data is challenging due to the large proportion of missing…

Methodology · Statistics 2025-01-22 Haeun Moon , Jin-Hong Du , Jing Lei , Kathryn Roeder

Two-sample inference for the difference of population means typically relies upon a Central Limit Theorem approximation. When data are drawn from a Negative Binomial distribution, previous work of Shilane et al. (2010) showed that a Normal…

Methodology · Statistics 2012-03-06 David Shilane , Derek Bean
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