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Andrea Rotnitzky, Ezequiel Smucler, and James Robins’s contribution to the Discussion of ‘Augmented balancing weights as linear regression’ by Bruns-Smith et al.

Rotnitzky、Smucler 与 Robins 对《作为线性回归的增广平衡权重》的讨论

Andrea Rotnitzky, Ezequiel Smucler, James M Robins; Rotnitzky, Smucler and Robins contribution to the Discussion of ‘Augmented balancing weights as linear

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Towards a unified theory for semiparametric data fusion with individual-level data

迈向个体层面数据融合的统一半参数理论

We consider inference about a finite-dimensional parameter integrating samples from independent sources. A recently developed theory considers scenarios where sources align with subsets of the conditional distributions of a single factorization of the joint target distribution. While this theory applies in many settings, it falls short in important data fusion problems, such as two-sample instrumental variable analysis, settings that integrate data from epidemiological…

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Variable elimination, graph reduction and the efficient g-formula

变量消除、图约简与有效 g 公式

Summary We study efficient estimation of an interventional mean associated with a point exposure treatment under a causal graphical model represented by a directed acyclic graph without hidden variables. Under such a model, a subset of the variables may be uninformative, in that failure to measure them neither precludes identification of the interventional mean nor changes the semiparametric variance bound for regular estimators of it. We develop a set of graphical criteria…

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Efficient Estimation of Optimal Regimes Under a No Direct Effect Assumption

无直接效应假设下最优策略的有效估计

Lin Liua , Zach Shahnb, James M. Robinsc* & Andrea Rotnitzkyda Institute of Natural Sciences, School of Mathematical Sciences, MOE-LSC and SJTU-Yale Center for Biostatistics and Data Science, Shanghai Jiao Tong University, Shanghai, China; b IBM Research, Yorktown Heights, NY; c Department of Biostatistics and Epidemiology, Harvard University, Boston, MA; d Department of Economics, Universidad Torcuato Di Tella and CONICET, Buenos Aires, ArgentinaSupplementary materials for…

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Doubly Robust Estimation of the Local Average Treatment Effect Curve

Summary We consider estimation of the causal effect of a binary treatment on an outcome, conditionally on covariates, from observational studies or natural experiments in which there is a binary instrument for treatment. We describe a doubly robust, locally efficient estimator of the parameters indexing a model for the local average treatment effect conditionally on covariates V when randomization of the instrument is only true conditionally on a high dimensional vector of…

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Evaluation of Viable Dynamic Treatment Regimes in a Sequentially Randomized Trial of Advanced Prostate Cancer

晚期前列腺癌序贯随机试验中可实施动态治疗策略的评估

We present new statistical analyses of data arising from a clinical trial designed to compare two-stage dynamic treatment regimes (DTRs) for advanced prostate cancer. The trial protocol mandated that patients were to be initially randomized among four chemotherapies, and that those who responded poorly were to be rerandomized to one of the remaining candidate therapies. The primary aim was to compare the DTRs' overall success rates, with success defined by the occurrence of…

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Nonparametric Regression With Missing Outcomes Using Weighted Kernel Estimating Equations

利用加权核估计方程处理结果缺失的非参数回归

We consider nonparametric regression of a scalar outcome on a covariate when the outcome is missing at random (MAR) given the covariate and other observed auxiliary variables. We propose a class of augmented inverse probability weighted (AIPW) kernel estimating equations for nonparametric regression under MAR. We show that AIPW kernel estimators are consistent when the probability that the outcome is observed, that is, the selection probability, is either known by design or…

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Semiparametric Estimation of Treatment Effects Given Base-Line Covariates on an Outcome Measured After a Post-Randomization Event Occurs

随机化后事件发生才观测结局时,给定基线协变量的治疗效应半参数估计

Summary We consider estimation, from a double-blind randomized trial, of treatment effect within levels of base-line covariates on an outcome that is measured after a post-treatment event E has occurred in the subpopulation 𝒫E,E that would experience event E regardless of treatment. Specifically, we consider estimation of the parameters γ indexing models for the outcome mean conditional on treatment and base-line covariates in the subpopulation 𝒫E,E. Such parameters are…

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Analysis of Failure Time Data Under Competing Censoring Mechanisms

竞争性删失机制下的失效时间数据分析

Summary We derive estimators of the survival curve of a failure time in the presence of competing right censoring mechanisms. Our approach allows for the possibility that some or all of the competing censoring mechanisms are associated with the end point, even after adjustment for recorded prognostic factors. It also allows the degree of residual association to be possibly different for distinct censoring processes. Our methods generalize from one to several competing…

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Doubly Robust Estimation of the Area Under the Receiver-Operating Characteristic Curve in the Presence of Verification Bias

存在确诊选择偏差时 ROC 曲线下面积的双重稳健估计

The area under the receiver operating characteristic curve (AUC) is a popular summary measure of the efficacy of a medical diagnostic test to discriminate between healthy and diseased subjects. A frequently encountered problem in studies that evaluate a new diagnostic test is that not all patients undergo disease verification because the verification test is expensive, invasive, or both. Furthermore, the decision to send patients to verification often depends on the new test…

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Pattern–Mixture and Selection Models for Analysing Longitudinal Data with Monotone Missing Patterns

单调缺失纵向数据分析中的模式混合模型与选择模型

Summary We examine three pattern–mixture models for making inference about parameters of the distribution of an outcome of interest Y that is to be measured at the end of a longitudinal study when this outcome is missing in some subjects. We show that these pattern–mixture models also have an interpretation as selection models. Because these models make unverifiable assumptions, we recommend that inference about the distribution of Y be repeated under a range of plausible…

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Adjusting for Nonignorable Drop-Out Using Semiparametric Nonresponse Models

利用半参数无应答模型调整不可忽略的随访退出

Consider a study whose design calls for the study subjects to be followed from enrollment (time t = 0) to time t = T, at which point a primary endpoint of interest Y is to be measured. The design of the study also calls for measurements on a vector V t) of covariates to be made at one or more times t during the interval [0, T). We are interested in making inferences about the marginal mean μ0 of Y when some subjects drop out of the study at random times Q prior to the common…

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Semiparametric Regression for Repeated Outcomes with Nonignorable Nonresponse

非可忽略无应答下重复结局的半参数回归

We consider inference about the parameter β* indexing the conditional mean of a vector of correlated outcomes given a vector of explanatory variables when some of the outcomes are missing in a subsample of the study and the probability of response depends on both observed and unobserved data values; that is, nonresponse is nonignorable. We propose a class of augmented inverse probability of response weighted estimators that are consistent and asymptotically normal (CAN) for…

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Semiparametric Regression Estimation in the Presence of Dependent Censoring

存在依赖删失时的半参数回归估计

We propose a semiparametric estimation procedure for estimating the regression of an outcome Y, measured at the end of a fixed follow-up period, on baseline explanatory variables X, measured prior to start of follow-up, in the presence of dependent censoring given X. The proposed estimators are consistent when the data are ‘missing at random’ but not ‘missing completely at random’ (Rubin, 1976), and do not require full specification of the complete data likelihood.…

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Semiparametric Efficiency in Multivariate Regression Models with Missing Data

缺失数据下多元回归模型的半参数效率

We consider the efficiency bound for the estimation of the parameters of semiparametric models defined solely by restrictions on the means of a vector of correlated outcomes, Y, when the data on Y are missing at random. We show that the semiparametric variance bound is the asymptotic variance of the optimal estimator in a class of inverse probability of censoring weighted estimators and that this bound is unchanged if the data are missing completely at random. For this case…

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Analysis of Semiparametric Regression Models for Repeated Outcomes in the Presence of Missing Data

缺失数据下重复结局半参数回归模型的分析

We propose a class of inverse probability of censoring weighted estimators for the parameters of models for the dependence of the mean of a vector of correlated response variables on a vector of explanatory variables in the presence of missing response data. The proposed estimators do not require full specification of the likelihood. They can be viewed as an extension of generalized estimating equations estimators that allow for the data to be missing at random but not…

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Semiparametric regression estimation in the presence of dependent censoring

依赖删失下的半参数回归估计

We propose a semiparametric estimation procedure for estimating the regression of an outcome Y, measured at the end of a fixed follow-up period, on baseline explanatory variables X, measured prior to start of follow-up, in the presence of dependent censoring given X. The proposed estimators are consistent when the data are ‘missing at random’ but not ‘missing completely at random’ (Rubin, 1976), and do not require full specification of the complete data likelihood.…

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Estimation of Regression Coefficients When Some Regressors are not Always Observed

部分回归变量并非始终可观测时的回归系数估计

In applied problems it is common to specify a model for the conditional mean of a response given a set of regressors. A subset of the regressors may be missing for some study subjects either by design or happenstance. In this article we propose a new class of semiparametric estimators, based on inverse probability weighted estimating equations, that are consistent for parameter vector α0 of the conditional mean model when the data are missing at random in the sense of Rubin…

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Hypothesis Testing of Regression Parameters in Semiparametric Generalized Linear Models for Cluster Correlated Data

簇相关数据半参数广义线性模型的回归参数检验

Generalized and ‘working’ Wald and score tests for regression coefficients in the class of semiparametric marginal generalized linear models for cluster correlated data (Liang & Zeger, 1986) are proposed, and their asymptotic distribution examined. In addition, the asymptotic distribution of the naive likelihood ratio test, or deviance difference, is presented. Following Rao & Scott (1984), we propose simple adjustments to such ‘working’ tests. The asymptotic distributions…

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Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data

组内相关数据半参数广义线性模型的回归参数检验

Generalized and ‘working’ Wald and score tests for regression coefficients in the class of semiparametric marginal generalized linear models for cluster correlated data (Liang & Zeger, 1986) are proposed, and their asymptotic distribution examined. In addition, the asymptotic distribution of the naive likelihood ratio test, or deviance difference, is presented. Following Rao & Scott (1984), we propose simple adjustments to such ‘working’ tests. The asymptotic distributions…

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