Biometrika最新文献

Local Bootstrap for Network Data 网络数据的本地引导

IF 2.7 2区数学

Biometrika Pub Date : 2024-09-09 DOI: 10.1093/biomet/asae046

Tianhai Zu, Yichen Qin

{"title":"Local Bootstrap for Network Data","authors":"Tianhai Zu, Yichen Qin","doi":"10.1093/biomet/asae046","DOIUrl":"https://doi.org/10.1093/biomet/asae046","url":null,"abstract":"SUMMARY In network analysis, we frequently need to conduct inference for network parameters based on one observed network. Since the sampling distribution of the statistic is often unknown, we need to rely on the bootstrap. However, due to the complex dependence structure among vertices, existing bootstrap methods often yield unsatisfactory performance, especially under small or moderate sample sizes. To this end, we propose a new network bootstrap procedure, termed local bootstrap, to estimate the standard errors of network statistics. We propose to resample the observed vertices along with their neighbor sets, and reconstruct the edges between the resampled vertices by drawing from the set of edges connecting their neighbor sets. We justify the proposed method theoretically with desirable asymptotic properties for statistics such as motif density, and demonstrate its excellent numerical performance in small and moderate sample sizes. Our method includes several existing methods, such as the empirical graphon bootstrap, as special cases. We investigate the advantages of the proposed methods over the existing methods through the lens of edge randomness, vertex heterogeneity, neighbor set size, which shed some light on the complex issue of network bootstrapping.","PeriodicalId":9001,"journal":{"name":"Biometrika","volume":"15 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Simple Bootstrap for Chatterjee's Rank Correlation 查特吉等级相关性的简单引导法

IF 2.7 2区数学

Biometrika Pub Date : 2024-08-26 DOI: 10.1093/biomet/asae045

H Dette, M Kroll

引用次数: 0

Sensitivity models and bounds under sequential unmeasured confounding in longitudinal studies 纵向研究中连续未测量混杂情况下的灵敏度模型和界限

IF 2.7 2区数学

Biometrika Pub Date : 2024-08-20 DOI: 10.1093/biomet/asae044

Zhiqiang Tan

引用次数: 0

Studies in the history of probability and statistics, LI: the first conditional logistic regression 概率论与统计学史研究，LI：第一个条件逻辑回归

IF 2.7 2区数学

Biometrika Pub Date : 2024-08-09 DOI: 10.1093/biomet/asae038

J A Hanley

引用次数: 0

Robust Covariate-Balancing Method in Learning Optimal Individualized Treatment Regimes 学习最佳个性化治疗方案的稳健协变量平衡法

IF 2.7 2区数学

Biometrika Pub Date : 2024-07-17 DOI: 10.1093/biomet/asae036

Canhui Li, Donglin Zeng, Wensheng Zhu

{"title":"Robust Covariate-Balancing Method in Learning Optimal Individualized Treatment Regimes","authors":"Canhui Li, Donglin Zeng, Wensheng Zhu","doi":"10.1093/biomet/asae036","DOIUrl":"https://doi.org/10.1093/biomet/asae036","url":null,"abstract":"Summary One of the most important problems in precision medicine is to find the optimal individualized treatment rule, which is designed to recommend treatment decisions and maximize overall clinical benefit to patients based on their individual characteristics. Typically, the expected clinical outcome is required to be estimated first, in which an outcome regression model or a propensity score model usually needs to be assumed for most of the existing statistical methods. However, if either model assumption is invalid, the estimated treatment regime is not reliable. In this article, we first define a contrast value function, which is the basis of the study for individualized treatment regimes. Then we construct a hybrid estimator of the contrast value function, by combining two types of estimation methods. We further propose a robust covariate-balancing estimator of the contrast value function by combining the inverse probability weighted method and matching method, which is based on the covariate balancing propensity score proposed by Imai and Ratkovic (2014). Theoretical results show that the proposed estimator is doubly robust, that is, it is consistent if either the propensity score model or the matching is correct. Based on a large number of simulation studies, we demonstrate that the proposed estimator outperforms existing methods. Lastly, the proposed method is illustrated through analysis of the SUPPORT study.","PeriodicalId":9001,"journal":{"name":"Biometrika","volume":"337 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141740777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Causal inference with hidden mediators 隐性中介的因果推断

IF 2.7 2区数学

Biometrika Pub Date : 2024-07-13 DOI: 10.1093/biomet/asae037

AmirEmad Ghassami, Alan Yang, Ilya Shpitser, Eric Tchetgen Tchetgen

{"title":"Causal inference with hidden mediators","authors":"AmirEmad Ghassami, Alan Yang, Ilya Shpitser, Eric Tchetgen Tchetgen","doi":"10.1093/biomet/asae037","DOIUrl":"https://doi.org/10.1093/biomet/asae037","url":null,"abstract":"Summary Proximal causal inference was recently proposed as a framework to identify causal effects from observational data in the presence of hidden confounders for which proxies are available. In this paper, we extend the proximal causal inference approach to settings where identification of causal effects hinges upon a set of mediators which are not observed, yet error prone proxies of the hidden mediators are measured. Specifically, (i) we establish causal hidden mediation analysis, which extends classical causal mediation analysis methods for identifying natural direct and indirect effects under no unmeasured confounding to a setting where the mediator of interest is hidden, but proxies of it are available. (ii) We establish a hidden front-door criterion, which extends the classical front-door criterion to allow for hidden mediators for which proxies are available. (iii) We show that the identification of a certain causal effect called population intervention indirect effect remains possible with hidden mediators in settings where challenges in (i) and (ii) might co-exist. We view (i)-(iii) as important steps towards the practical application of front-door criteria and mediation analysis as mediators are almost always measured with error and thus, the most one can hope for in practice is that the measurements are at best proxies of mediating mechanisms. We propose identification approaches for the parameters of interest in our considered models. For the estimation aspect, we propose an influence function-based estimation method and provide an analysis for the robustness of the estimators.","PeriodicalId":9001,"journal":{"name":"Biometrika","volume":"249 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

More Power by Using Fewer Permutations 用更少的排列组合获得更大的能量

IF 2.7 2区数学

Biometrika Pub Date : 2024-07-10 DOI: 10.1093/biomet/asae031

Nick W Koning

引用次数: 0

Testing Independence for Sparse Longitudinal Data 测试稀疏纵向数据的独立性

IF 2.7 2区数学

Biometrika Pub Date : 2024-07-08 DOI: 10.1093/biomet/asae035

Changbo Zhu, Junwen Yao, Jane-Ling Wang

引用次数: 0

Semiparametric efficiency gains from parametric restrictions on propensity scores 倾向分数参数限制带来的半参数效率收益