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Doubly-Robust Inference in R using drtmle 基于drtmle的R中的双稳健推理
Pub Date : 2023-03-01 DOI: 10.1353/obs.2023.0017
D. Benkeser, N. Hejazi
Abstract:Inverse probability of treatment weighted estimators and doubly robust estimators (including augmented inverse probability of treatment weight and targeted minimum loss estimators) are widely used in causal inference to estimate and draw inference about the average effect of a treatment. As an intermediate step, these estimators require estimation of key nuisance parameters, which are often regression functions. Typically, regressions are estimated using maximum likelihood and parametric models. Confidence intervals and p-values may be computed based on standard asymptotic results, such as the central limit theorem, the delta method, and the nonparametric bootstrap. However, in high-dimensional settings, maximum likelihood estimation often breaks down and standard procedures no longer yield correct inference. Instead, we may rely on adaptive estimators of nuisance parameters to construct flexible regression estimators. However, use of adaptive estimators poses a challenge for performing statistical inference about an estimated treatment effect. While doubly robust estimators facilitate inference when all relevant regression functions are consistently estimated, the same cannot be said when at least one nuisance estimator is inconsistent. drtmle implements doubly robust confidence intervals and hypothesis tests for targeted minimum loss estimates of the average treatment effect, in addition to several other recently proposed estimators of the average treatment effect.
摘要:处理加权逆概率估计量和双鲁棒估计量(包括处理权值增广逆概率估计量和目标最小损失估计量)在因果推理中被广泛用于估计和推断处理的平均效果。作为中间步骤,这些估计需要估计关键的干扰参数,这些参数通常是回归函数。通常,回归是使用最大似然和参数模型来估计的。置信区间和p值可以根据标准渐近结果计算,如中心极限定理、delta方法和非参数自举法。然而,在高维环境中,最大似然估计经常失效,标准程序不再产生正确的推断。相反,我们可以依靠自适应估计的干扰参数来构造灵活的回归估计。然而,使用自适应估计器对估计的治疗效果进行统计推断提出了挑战。当所有相关的回归函数都一致估计时,双鲁棒估计器有助于推理,但当至少有一个令人讨厌的估计器不一致时,情况就不一样了。除了最近提出的其他几个平均处理效果的估计之外,Drtmle还实现了双重稳健置信区间和假设检验,以估计平均处理效果的目标最小损失。
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引用次数: 3
Comparison of dimension reduction methods for the identification of heart-healthy dietary patterns 降维方法识别心脏健康饮食模式的比较
Pub Date : 2023-03-01 DOI: 10.1353/obs.2023.0020
Natalie C. Gasca, R. McClelland
Abstract:Most nutritional epidemiology studies investigating diet-disease trends use unsupervised dimension reduction methods, like principal component regression (PCR) and sparse PCR (SPCR), to create dietary patterns. Supervised methods, such as partial least squares (PLS), sparse PLS (SPLS), and Lasso, offer the possibility of more concisely summarizing the foods most related to a disease. In this study we evaluate these five methods for interpretable reduction of food frequency questionnaire (FFQ) data when analyzing a univariate continuous cardiac-related outcome via a simulation study and data application. We also demonstrate that to control for covariates, various scientific premises require different adjustment approaches when using PLS. To emulate food groups, we generated blocks of normally distributed predictors with varying intra-block covariances; only nine of 24 predictors contributed to the normal response. When block covariances were informed by FFQ data, the only methods that performed variable selection were Lasso and SPLS, which selected two and four irrelevant variables, respectively. SPLS had the lowest prediction error, and both PLS-based methods constructed four patterns, while PCR and SPCR created 24 patterns. These methods were applied to 120 FFQ variables and baseline body mass index (BMI) from the Multi-Ethnic Study of Atherosclerosis, which includes 6814 participants aged 45-84, and we adjusted for age, gender, race/ethnicity, exercise, and total energy intake. From 120 variables, PCR created 17 BMI-related patterns and PLS selected one pattern; SPLS only used five variables to create two patterns. All methods exhibited similar predictive performance. Specifically, SPLS’s first pattern highlighted hamburger and diet soda intake (positive associations with BMI), reflecting a fast food diet. By selecting fewer patterns and foods, SPLS can create interpretable dietary patterns while maintaining predictive ability.
摘要:大多数调查饮食疾病趋势的营养流行病学研究都使用无监督降维方法,如主成分回归(PCR)和稀疏PCR(SPCR),来创建饮食模式。监督方法,如偏最小二乘(PLS)、稀疏PLS(SPLS)和Lasso,提供了更简洁地总结与疾病最相关的食物的可能性。在本研究中,我们通过模拟研究和数据应用分析单变量连续心脏相关结果时,评估了这五种可解释的减少食物频率问卷(FFQ)数据的方法。我们还证明,为了控制协变量,在使用PLS时,各种科学前提需要不同的调整方法。为了模拟食物组,我们生成了具有不同块内协变量的正态分布预测因子块;24个预测因子中只有9个对正常反应有贡献。当块协变量由FFQ数据告知时,唯一进行变量选择的方法是Lasso和SPLS,它们分别选择了两个和四个不相关的变量。SPLS的预测误差最低,两种基于PLS的方法都构建了四种模式,而PCR和SPCR则构建了24种模式。这些方法应用于动脉粥样硬化多民族研究的120个FFQ变量和基线体重指数(BMI),该研究包括6814名年龄在45-84岁的参与者,我们对年龄、性别、种族/民族、运动和总能量摄入进行了调整。从120个变量中,PCR创建了17个BMI相关模式,PLS选择了一个模式;SPLS只使用了五个变量来创建两个模式。所有方法都表现出相似的预测性能。具体来说,SPLS的第一个模式强调了汉堡和无糖苏打水的摄入(与BMI呈正相关),反映了快餐饮食。通过选择更少的模式和食物,SPLS可以在保持预测能力的同时创造可解释的饮食模式。
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引用次数: 0
ivmte: An R Package for Extrapolating Instrumental Variable Estimates Away From Compliers* ivmte:一个用于从Compliers外推仪器变量估计的R包*
Pub Date : 2023-03-01 DOI: 10.1353/obs.2023.0016
Joshua Shea, Alexander Torgovitsky
Abstract:Instrumental variable (IV) strategies are widely used to estimate causal effects in economics, political science, epidemiology, sociology, psychology, and other fields. When there is unobserved heterogeneity in causal effects, standard linear IV estimators only represent effects for complier subpopulations (Imbens and Angrist, 1994). Marginal treatment effect (MTE) methods (Heckman and Vytlacil, 1999, 2005) allow researchers to use additional assumptions to extrapolate beyond complier subpopulations. We discuss a flexible framework for MTE methods based on linear regression and the generalized method of moments. We show how to implement the framework using the ivmte package for R.
摘要:工具变量(IV)策略在经济学、政治学、流行病学、社会学、心理学等领域被广泛用于估计因果效应。当因果效应存在未观察到的异质性时,标准线性IV估计量仅代表复杂亚群的影响(Imbens和Angrist,1994)。边际治疗效果(MTE)方法(Heckman和Vytlacil,19992005)允许研究人员使用额外的假设来推断复杂亚群之外的情况。我们讨论了基于线性回归和广义矩方法的MTE方法的灵活框架。我们展示了如何使用针对R的ivmte包来实现该框架。
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引用次数: 0
Editor’s Note Editor’s音符
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0014
Nandita Mitra
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引用次数: 0
The central role of the propensity score in epidemiology 倾向性评分在流行病学中的核心作用
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0004
Brian K. Lee
Abstract:In this commentary, I provide a personal perspective on how the propensity score has become important to epidemiology.
摘要:在这篇评论中,我从个人角度阐述了倾向评分对流行病学的重要性。
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引用次数: 12
Some Reflections on Rosenbaum and Rubin’s Propensity Score Paper 对Rosenbaum和Rubin倾向性评分论文的几点思考
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0006
R. Little
Abstract:Rosenbaum and Rubin’s paper is highly cited because the basic idea is simple and insightful, and it has applications to important practical problems in treatment comparisons with observational data, and selection bias and nonresponse in surveys. I discuss several issues related to the method, including use of the propensity score for weighting or prediction, and two robust methods that use the propensity score as a covariate and can be more efficient that weighting when the weights are highly variable, namely Penalized Spline of Propensity Prediction (PSPP) and Penalized Spline of Propensity for Treatment Comparisons (PENCOMP). Approaches to addressing highly variable weights are discussed, including omitting variables in the propensity model that are unrelated to outcomes, and redefining the estimand.
摘要:Rosenbaum和Rubin的论文被高度引用,因为它的基本思想简单而有见地,并且它可以应用于与观察数据进行治疗比较的重要实际问题,以及调查中的选择偏差和无反应。我讨论了与该方法相关的几个问题,包括使用倾向得分进行加权或预测,以及两种使用倾向得分作为协变量的稳健方法,当权重高度可变时,这种方法可以比加权更有效,即倾向预测惩罚样条线(PSPP)和治疗比较倾向惩罚样条曲线(PENCOMP)。讨论了处理高度可变权重的方法,包括省略倾向模型中与结果无关的变量,以及重新定义估计需求。
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引用次数: 0
What is a propensity score? Applications and extensions of balancing score methods 什么是倾向得分?平衡计分法的应用与推广
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0011
E. Stuart
Abstract:The foundational propensity score paper by Rosenbaum and Rubin (1983a) laid the foundation for a set of methods widely used in the design of non-experimental studies. This commentary reflects on the theoretical contributions of that paper –especially the idea of the propensity score as a balancing score –as well as on the wide variety of contexts in which the general idea of a balancing score has since been applied. Areas in which the fundamental ideas of a balancing score –which can help equate two groups on the basis of a set of covariates –have been extended include mediation analysis and generalizability. The commentary also touches on common misperceptions regarding propensity scores, and on the key role of the “other” Rosenbaum and Rubin (1983b) paper, which laid out a method for assessing the sensitivity of study results to violation of the key assumption underlying most uses of propensity scores –that of no unmeasured confounding. All together, this body of work has changed how many fields conduct non-experimental studies, and other related types of studies, and with many applications and extensions yet to come.
摘要:Rosenbaum和Rubin (1983a)的基础性倾向评分论文为一系列广泛应用于非实验研究设计的方法奠定了基础。这篇评论反映了那篇论文的理论贡献——尤其是倾向分数作为平衡分数的观点——以及平衡分数的一般观点此后被应用的各种各样的背景。平衡分数的基本思想——它可以帮助在一组协变量的基础上使两组相等——已经得到扩展的领域包括中介分析和概括性。这篇评论还触及了关于倾向分数的常见误解,以及“另一篇”Rosenbaum和Rubin (1983b)论文的关键作用,该论文提出了一种方法,用于评估研究结果对违反倾向分数的主要假设的敏感性,即没有未测量的混杂。总之,这些工作已经改变了许多领域进行非实验研究的方式,以及其他相关类型的研究,并且有许多应用和扩展尚未到来。
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引用次数: 0
A Visual Diagnostic Tool for Causal Inference 因果推理的可视化诊断工具
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0008
Lucy D’Agostino McGowan, Ralph B. D’Agostino
Abstract:Rosenbaum and Rubin (1983) suggested a visual representation, that can be used as a diagnostic tool, for examining whether the relationships between confounders and outcomes are sufficiently controlled, or whether there is a more complex relationship that requires further adjustment. This short commentary highlights this simple tool, providing an example of its utility along with relevant R code.
摘要:Rosenbaum和Rubin(1983)提出了一种视觉表征,它可以作为一种诊断工具,用于检查混杂因素和结果之间的关系是否得到充分控制,或者是否存在更复杂的关系需要进一步调整。这篇简短的评论重点介绍了这个简单的工具,提供了它的实用程序示例以及相关的R代码。
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引用次数: 0
Propensity Score in the Face of Interference: Discussion of Rosenbaum and Rubin (1983) 面对干扰的倾向得分:Rosenbaum和Rubin(1983)的讨论
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0013
Bo Zhang, M. Hudgens, M. Halloran
Abstract:Rosenbaum and Rubin’s (1983) propensity score revolutionized the field of causal inference and has emerged as a standard tool when researchers reason about cause-and-effect relationship across many disciplines. This discussion centers around the key “no interference” assumption in Rosenbaum and Rubin’s original development of the propensity score and reviews some recent advances in extending the propensity score to studies involving dependent happenings.
摘要:Rosenbaum和Rubin(1983)提出的倾向评分方法革新了因果推理领域,并成为研究人员跨学科推理因果关系的标准工具。本讨论围绕着Rosenbaum和Rubin最初发展倾向评分的关键“无干扰”假设,并回顾了将倾向评分扩展到涉及依赖事件的研究中的一些最新进展。
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引用次数: 0
The Central Role of Rosenbaum and Rubin’s Seminal Work 罗森鲍姆与鲁宾神学院著作的中心作用
Pub Date : 2023-01-23 DOI: 10.1353/obs.2023.0010
A. Spieker
Abstract:Rosenbaum and Rubin’s seminal work on the propensity score set the stage for decades of subsequent developments in causal inference methodology for use in observational studies. In this commentary, I discuss two specific aspects of their work with particular emphasis on how they have shaped my understanding of causal inference: (1) the propensity score as a data reduction technique, and (2) the importance of drawing parallels between the observational study and the randomized experiment.
摘要:Rosenbaum和Rubin在倾向得分方面的开创性工作为随后几十年用于观察性研究的因果推理方法的发展奠定了基础。在这篇评论中,我讨论了他们工作的两个具体方面,特别强调了他们是如何塑造我对因果推断的理解的:(1)倾向得分作为一种数据简化技术,以及(2)在观察性研究和随机实验之间进行比较的重要性。
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引用次数: 0
期刊
Observational studies
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