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Regression and Weighting Methods for Causal Inference Using Instrumental Variables

利用工具变量进行因果推断的回归与加权方法

Please see the supplementary material for a correction and a new result.Recent researches in econometrics and statistics have gained considerable insights into the use of instrumental variables (IVs) for causal inference. A basic idea is that IVs serve as an experimental handle, the turning of which may change each individual's treatment status and, through and only through this effect, also change observed outcome. The average difference in observed outcome relative to that…

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Identification of a competing risks model with unknown transformations of latent failure times

潜在失效时间含未知变换的竞争风险模型识别

This paper is concerned with identification of a competing risks model with unknown transformations of latent failure times. The model includes, as special cases, competing risks versions of proportional hazards, mixed proportional hazards and accelerated failure time models. It is shown that covariate effects on latent failure times, cause-specific link functions and the joint survivor function of the disturbance terms can be identified without relying on modelling the…

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Auxiliary mixture sampling for parameter-driven models of time series of counts with applications to state space modelling

计数时间序列参数驱动模型的辅助混合抽样及状态空间应用

We consider parameter-driven models of time series of counts, where the observations are assumed to arise from a Poisson distribution with a mean changing over time according to a latent process. Estimation of these models is carried out within a Bayesian framework using data augmentation and Markov chain Monte Carlo methods. We suggest a new auxiliary mixture sampler, which possesses a Gibbsian transition kernel, where we draw from full conditional distributions belonging…

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Nonparametric k-sample tests with panel count data

面板计数数据的非参数多样本检验

We study the nonparametric k-sample test problem with panel count data. The asymptotic normality of a smooth functional of the nonparametric maximum pseudo-likelihood estimator (Wellner & Zhang, 2000) is established under some mild conditions. We construct a class of easy-to-implement nonparametric tests for comparing mean functions of k populations based on this asymptotic normality. We conduct various simulations to validate and compare the tests. The simulations show that…

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Analysing panel count data with informative observation times

信息性观测时点下的面板计数数据分析

In this paper, we study panel count data with informative observation times. We assume nonparametric and semiparametric proportional rate models for the underlying event process, where the form of the baseline rate function is left unspecified and a subject-specific frailty variable inflates or deflates the rate function multiplicatively. The proposed models allow the event processes and observation times to be correlated through their connections with the unobserved…

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Modelling of covariance structures in generalised estimating equations for longitudinal data

纵向数据广义估计方程中的协方差结构建模

When used for modelling longitudinal data generalised estimating equations specify a working structure for the within-subject covariance matrices, aiming to produce efficient parameter estimators. However, misspecification of the working covariance structure may lead to a large loss of efficiency of the estimators of the mean parameters. In this paper we propose an approach for joint modelling of the mean and covariance structures of longitudinal data within the framework of…

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AN ALTERNATIVE DERIVATION OF MUNDLAK'S FIXED EFFECTS RESULTS USING SYSTEM ESTIMATION

用系统估计重新推导 Mundlak 的固定效应结果

Mundlak (1978, Econometrica 46, 69–85) showed that the fixed effects estimator can be obtained as generalized least squares (GLS) for a panel regression model where the individual effects are random but are all hopelessly correlated with the regressors. This result was obtained by partitioned inversion after substituting the reduced form expression for the individual effects as a function of the means of all the regressors. This note shows that Mundlak's result can be…

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Intergenerational mobility and sample selection in short panels

短面板中的代际流动与样本选择

Abstract Using data from the first 11 waves of the BHPS, this paper measures the extent of the selection bias induced by standard coresidence conditions—bias that is expected to be severe in short panels—on measures of intergenerational mobility in occupational prestige. We try to limit the impact of other selection biases, such as those induced by labour market restrictions that are typically imposed in intergenerational mobility studies, by using different measures of…

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An empirical model of the multi‐unit, sequential, clock auction

多单位序贯时钟拍卖的实证模型

Abstract We construct a model of participation and bidding at multi‐unit, sequential, clock auctions when bidders have multi‐unit demand. We describe conditions sufficient to characterize a symmetric, perfect‐Bayesian equilibrium and then demonstrate that this equilibrium induces an efficient allocation. We propose an algorithm, based on the generalized Vickrey auction, to calculate the expected winning bid for each unit sold. This algorithm allows us to construct a…

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Identification and estimation of bounds on school performance measures: a nonparametric analysis of a mixture model with verification

学校绩效指标界限的识别与估计:带验证信息混合模型的非参数分析

Abstract This paper identifies and nonparametrically estimates sharp bounds on school performance measures based on test scores that may not be valid for all students. A mixture model with verification is developed to handle this problem. This is a mixture model for data that can be partitioned into two sets, one of which (the so‐called verified set) is more likely to be from the distribution of interest than the other. An administrative classification of each student as…

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Bounds on Causal Effects in Three-Arm Trials With Non-Compliance

存在不依从的三臂试验中的因果效应界

Summary The paper considers the analysis of three-arm randomized trials with non-compliance. In these trials, the average causal effects of treatments within principal strata of compliance behaviour are of interest for better understanding the effect of the treatment. Unfortunately, even with the usual assumptions, the average causal effects of treatments within principal strata are not point identified. However, the observable data do provide useful information on the…

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The asymptotic distribution of the F‐test statistic for individual effects

个体效应 F 检验统计量的渐近分布

(the number of cross-sections) and T is fixed (the number of time periods). Three theoretical results emerge: (i) the standard F-test procedure will still deliver asymptotically valid inferences; (ii) under (pure) local random effects, the F-test and random effects test procedures have identical asymptotic power; (iii) under local fixed, or random effects which are correlated with the regressors, the F-test will have higher asymptotic power than the random effects test.…

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Measuring the Implications of Sales and Consumer Inventory Behavior

促销与消费者库存行为的影响测度

Temporary price reductions (sales) are common for many goods and naturally result in large increases in the quantity sold.Demand estimation based on temporary price reductions may mismeasure the long run responsiveness to prices.In this paper we quantify the extent of the problem and assess its economic implications.We structurally estimate a dynamic model of consumer choice using two years of scanner data on the purchasing behavior of a panel of households.The results…

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The costs of motherhood: an analysis using matching estimators

母职的工资成本:匹配估计分析

Abstract We estimate the effect of motherhood on wages using matching. We distinguish between net and direct effects. The net effect includes the total wage costs, whereas the direct represents the causal effect. Since covariates are likely affected by motherhood, the latter effect is not immediately uncovered. We therefore implement two strategies: first, we confine the analysis to consider sector‐specific treatment effects; second, we impose additive separability on the…

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Bayesian analysis of the two‐part model with endogeneity: application to health care expenditure

含内生性的两部模型贝叶斯分析:医疗支出应用

Abstract This paper studies the effect of managed care on medical expenditure using a model in which the insurance status is assumed to be endogenous. Insurance plan choice is modeled through the multinomial probit model. The medical expenditure variable, the outcome of interest, has a significant proportion of zeros that are handled using the two‐part model, extended to handle endogenous insurance. The estimation approach is Bayesian, based on the Gibbs Sampler. The model…

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The effect of household characteristics on living standards in South Africa 1993–1998: a quantile regression analysis with sample attrition

南非家庭特征与生活水平:考虑样本流失的分位数回归分析

Abstract This paper examines whether the dismantling of apartheid has resulted in an improvement in the standard of living for the vast majority of South Africans. The study is based on a panel data set from the Kwazulu‐Natal province. We use weighted quantile regressions to examine the distribution of standards of living, which corrects for the potential bias arising from non‐random sample attrition. Our results show that there has been a significant increase in the spread…

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Non-parametric regression for binary dependent variables

二元因变量的非参数回归

Finite-sample properties of non-parametric regression for binary dependent variables are analyzed. Non parametric regression is generally considered as highly variable in small samples when the number of regressors is large. In binary choice models, however, it may be more reliable since its variance is bounded. The precision in estimating conditional means as well as marginal effects is investigated in settings with many explanatory variables (14 regressors) and small…

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Posterior consistency of Gaussian process prior for nonparametric binary regression

非参数二元回归中高斯过程先验的后验一致性

Consider binary observations whose response probability is an unknown smooth function of a set of covariates. Suppose that a prior on the response probability function is induced by a Gaussian process mapped to the unit interval through a link function. In this paper we study consistency of the resulting posterior distribution. If the covariance kernel has derivatives up to a desired order and the bandwidth parameter of the kernel is allowed to take arbitrarily small values,…

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Rejoinder

条件生长图模型讨论的作者回复

First of all, we would like to thank all the discussants for their encouragement of and insightful comments on our work.We are especially appreciative of their unique perspectives brought to the topic of conditional growth charts.The discussants raised a number of interesting questions from statistical as well as clinical points of view, some of which are broader and deeper than what we will be able to address fully in this rejoinder.Our rejoinder will focus on the issues…

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Discussion

关于纵向条件百分位图的讨论意见

I will use the terms "reference centiles" or "centile charts," as the setting that I consider here is more general than that of "growth charts."Longitudinal reference centiles over some measure of time (typically age) are almost always implemented repeatedly on the same individual.In this kind of setting the notion of conditional or adaptive centile charts is very appealing, particularly when the within-individual variability is much less than that between individuals.While…

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Discussion

关于条件生长曲线方法的讨论

Overview.Wei and He are to be congratulated on an innovative and important article.The conditional approach to growth charts described in their article is important in a practical sense, and the use of quantile regression is both natural and well motivated.We look forward to further application of their idea to actual practice, because the concept of "falling behind" in one's growth cycle has two meanings: the usual standard growth chart, and the conditional growth chart…

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Conditional growth charts

条件生长曲线图

Growth charts are often more informative when they are customized per subject, taking into account prior measurements and possibly other covariates of the subject. We study a global semiparametric quantile regression model that has the ability to estimate conditional quantiles without the usual distributional assumptions. The model can be estimated from longitudinal reference data with irregular measurement times and with some level of robustness against outliers, and it is…

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Private Insurance, Selection, and Health Care Use

私人保险、自选择与医疗服务使用

Observed differences in medical utilization between the privately insured and uninsured reflect the combined effects of self-selection and insurance incentives (moral hazard). This article provides a Bayesian framework for decomposing the disparity into incentive and selection components. The effect of self-selection in private insurance on the number of doctor visits is estimated using a multiyear sample of the U.S. adult non-Medicare population obtained from the Medical…

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RANDOM EFFECTS AND SPATIAL AUTOCORRELATION WITH EQUAL WEIGHTS

等权重下的随机效应与空间自相关

This note considers a panel data regression model with spatial autoregressive disturbances and random effects where the weight matrix is normalized and has equal elements. This is motivated by Kelejian, Prucha, and Yuzefovich (2005, Journal of Regional Science, forthcoming), who argue that such a weighting matrix, having blocks of equal elements, might be considered when units are equally distant within certain neighborhoods but unrelated between neighborhoods. We derive a…

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