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Although randomized controlled trials have long been regarded as the ``gold standard'' for evaluating treatment effects, there is no natural prevention from post-treatment events. For example, non-compliance makes the actual treatment…

Methodology · Statistics 2025-04-25 Qinqing Liu , Xiang Peng , Tao Zhang , Yuhao Deng

Statistical procedures such as Bayes factor model selection and Bayesian model averaging require the computation of normalizing constants (e.g., marginal likelihoods). These normalizing constants are notoriously difficult to obtain, as they…

Computation · Statistics 2018-09-19 Quentin F. Gronau , Henrik Singmann , Eric-Jan Wagenmakers

Missing data occur in many types of studies and typically complicate the analysis. Multiple imputation, either using joint modelling or the more flexible fully conditional specification approach, are popular and work well in standard…

Methodology · Statistics 2020-09-02 Nicole S. Erler , Dimitris Rizopoulos , Emmanuel M. E. H. Lesaffre

This article introduces the bpcs R package (Bayesian Paired Comparison in Stan) and the statistical models implemented in the package. This package aims to facilitate the use of Bayesian models for paired comparison data in behavioral…

Methodology · Statistics 2021-09-21 David Issa Mattos , Érika Martins Silva Ramos

In many causal studies, outcomes are censored by death, in the sense that they are neither observed nor defined for units who die. In such studies, the focus is usually on the stratum of always survivors up to a single fixed time s.…

Methodology · Statistics 2024-01-02 Giulio Grossi , Marco Mariani , Alessandra Mattei , Fabrizia Mealli

Probabilistic Regression Trees (PRTrees) generalize traditional decision trees by incorporating probability functions that associate each data point with different regions of the tree, providing smooth decisions and continuous responses.…

Methodology · Statistics 2025-10-07 Taiane Schaedler Prass , Alisson Silva Neimaier , Guilherme Pumi

Causal inference concerns not only the average effect of the treatment on the outcome but also the underlying mechanism through an intermediate variable of interest. Principal stratification characterizes such a mechanism by targeting…

Methodology · Statistics 2022-03-29 Zhichao Jiang , Shu Yang , Peng Ding

Recurrent events often serve as key endpoints in clinical studies but may be prematurely truncated by terminal events such as death, creating selection bias and complicating causal inference. To address this challenge, we develop a Bayesian…

Methodology · Statistics 2026-03-18 Yuki Ohnishi , Michael O. Harhay , Guangyu Tong , Fan Li

The random-effects or normal-normal hierarchical model is commonly utilized in a wide range of meta-analysis applications. A Bayesian approach to inference is very attractive in this context, especially when a meta-analysis is based only on…

Computation · Statistics 2020-04-29 Christian Röver

Principal stratification analysis evaluates how causal effects of a treatment on a primary outcome vary across strata of units defined by their treatment effect on some intermediate quantity. This endeavor is substantially challenged when…

Methodology · Statistics 2024-03-21 Chanmin Kim , Corwin Zigler

A randomized trial allows estimation of the causal effect of an intervention compared to a control in the overall population and in subpopulations defined by baseline characteristics. Often, however, clinical questions also arise regarding…

We propose a multiple imputation method based on principal component analysis (PCA) to deal with incomplete continuous data. To reflect the uncertainty of the parameters from one imputation to the next, we use a Bayesian treatment of the…

Methodology · Statistics 2015-08-20 Vincent Audigier , François Husson , Julie Josse

The R package SamplingStrata was developed in 2011 as an instrument to optimize the design of stratified samples. The optimization is performed by considering the stratification variables available in the sampling frame, and the precision…

Methodology · Statistics 2020-04-21 Marco Ballin , Giulio Barcaroli

Paired cluster-randomized experiments (pCRTs) are common across many disciplines because there is often natural clustering of individuals, and paired randomization can help balance baseline covariates to improve experimental precision.…

Methodology · Statistics 2024-07-03 Charlotte Z. Mann , Adam C. Sales , Johann A. Gagnon-Bartsch

High-dimensional variable selection in the proportional hazards (PH) model has many successful applications in different areas. In practice, data may involve confounding variables that do not satisfy the PH assumption, in which case the…

Computation · Statistics 2018-03-22 Emily Morris , Kevin He , Yanming Li , Yi Li , Jian Kang

Intercurrent events, common in clinical trials and observational studies, affect the existence or interpretation of final outcomes. Principal stratification addresses this challenge by defining local average treatment effect estimands…

Methodology · Statistics 2025-09-22 Jiaqi Tong , Brennan Kahan , Michael O. Harhay , Fan Li

We combine Bayesian prediction and weighted inference as a unified approach to survey inference. The general principles of Bayesian analysis imply that models for survey outcomes should be conditional on all variables that affect the…

Methodology · Statistics 2020-06-24 Yajuan Si , Rob Trangucci , Jonah Sol Gabry , Andrew Gelman

Principal stratification is essential for revealing causal mechanisms involving post-treatment intermediate variables, in real-world applications like surrogate marker evaluation. Principal stratification analysis with continuous…

Methodology · Statistics 2025-01-31 Yichi Zhang , Shu Yang

The stratified proportional hazards model represents a simple solution to account for heterogeneity within the data while keeping the multiplicative effect on the hazard function. Strata are typically defined a priori by resorting to the…

Methodology · Statistics 2021-03-18 Riccardo Corradin , Luis Enrique Nieto-Barajas , Bernardo Nipoti

The rstap package implements Bayesian spatial temporal aggregated predictor models in R using the probabilistic programming language Stan. A variety of distributions and link functions are supported, allowing users to fit this extension to…

Methodology · Statistics 2018-12-27 Adam Peterson , Brisa Sanchez