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Nonparametric inference for balance in signed networks

符号网络平衡性的非参数推断

Abstract In many real-world networks, relationships often go beyond simple dyadic presence or absence; they can be positive, such as friendship, alliance and mutualism, or negative, characterized by enmity, disputes and competition. To understand the mechanisms of formation of such signed networks, social balance theory sheds light on the dynamics of positive and negative connections. In particular, it characterizes the proverbs ‘a friend of my friend is my friend’ and ‘an…

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GS-BART: Bayesian Additive Regression Trees with Graph-Split Decision Rules

GS-BART:采用图分裂决策规则的贝叶斯加性回归树

Ensemble decision tree methods such as XGBoost, Random Forest, and Bayesian Additive Regression Trees (BART) have gained enormous popularity in data science for their superior performance in machine learning regression and classification tasks. In this paper, we introduce a new Bayesian graph-split additive decision tree method, GS-BART, designed to enhance the performance of axis-parallel split-based BART for dependent data with graph structures. The proposed approach…

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Statistical Inference for Mediation Models with High Dimensional Exposures and Mediators

高维暴露与高维中介模型的统计推断

High-dimensional mediation analysis has gained increasing interest in various fields, particularly in genetic and medical research. Compared with existing works that focus mainly on high-dimensional mediators, this paper advocates a new framework of Partial Regularization-based Inference for Mediation Effects (PRIME) when both exposures and mediators are high-dimensional. Estimated direct and indirect effects are established using a group-wise partially penalized least…

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Design stability in adaptive experiments: implications for treatment effect estimation

自适应实验的设计稳定性及其对处理效应估计的影响

Abstract We study the problem of estimating the average treatment effect under sequentially adaptive treatment assignment mechanisms. In contrast to classical completely randomized designs, the setting we consider is one in which the probability of assigning treatment to each experimental unit may depend on prior assignments and observed outcomes. Within the potential outcomes framework (Neyman, 1923), we propose and analyse two natural estimators for the average treatment…

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Robustness and efficiency of Rosenbaum’s rank-based estimator in randomized trials: a design-based perspective

随机试验中 Rosenbaum 秩估计量的稳健性与效率:设计视角

Summary Mean-based estimators of causal effects in randomized experiments may behave poorly if the potential outcomes have a heavy tail or contain outliers. An alternative estimator proposed by Rosenbaum (1993) estimates a constant additive treatment effect by inverting a randomization test using ranks. We develop a design-based asymptotic theory for this rank-based estimator and study its robustness and efficiency properties. We show that Rosenbaum’s estimator is robust…

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Design of Bayesian A/B Tests Controlling False Discovery Rates and Power

控制错误发现率与功效的贝叶斯 A/B 测试设计

Businesses frequently run online controlled experiments (i.e., A/B tests) to learn about the effect of an intervention on multiple business metrics. To account for multiple hypothesis testing, multiple metrics are commonly aggregated into a single composite measure, losing valuable information, or strict family-wise error rate adjustments are imposed, leading to reduced power. In this paper, we propose an economical framework to design Bayesian A/B tests while controlling…

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High-Dimensional Detection of Spatial Interference Effects

空间干扰效应的高维检测

Modeling interference effects in high-dimensional settings presents significant challenges due to the complexity of underlying dependence structures. Existing approaches often rely on explicit and homogeneous assumptions, limiting their applicability in real-world scenarios. In this paper, we introduce a novel low-rank and sparse treatment effect model that leverages high-dimensional techniques to identify interference structures without restrictive parametric assumptions.…

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Identification of Latent Subgroups for Time-Varying Panel Data Models

时变面板数据模型中的潜在子群识别

This article introduces a time-varying panel data model that incorporates latent group structures, designed to tackle both individual heterogeneity and smooth structural changes over time. We develop an innovative center-augmented K-power means (KPM) methodology that promotes convergence of subjects toward their respective cluster centers, enabling the identification of latent group structures without requiring prior knowledge of group composition. This approach delivers…

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Inference on Dynamic Spatial Autoregressive Models with Change Point Detection

动态空间自回归模型的推断与变点检测

We analyze a varying-coefficient spatial autoregressive model with spatial fixed effects. One salient feature of the model is the incorporation of multiple spatial weight matrices through their linear combinations with varying coefficients, which help solve the problem of choosing the most “correct” one for applied econometricians who often face the availability of multiple expert spatial weight matrices. We estimate and make inferences on the model coefficients and…

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Shrinkage Estimation and Identification of Latent Group Structures in Panel Data with Interactive Fixed Effects

交互固定效应面板中潜在组结构的收缩估计与识别

This paper provides a framework for joint shrinkage estimation and identification of latent group structures in panel data models with interactive fixed effects and large number of explanatory variables. The latent structure of the model allows individuals to be classified into a number of groups where the number of groups and/or each individual’s group identity are unknown. A doubly penalized principal component estimation procedure using a pairwise fusion penalty and an…

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Deep Orthogonal Learner for Conditional Quantile Treatment Effect Estimation

条件分位数处理效应估计的深度正交学习器

In recent years, orthogonal statistical learning has been widely recognized for its ability to reduce sensitivity with respect to nuisance parameters to estimate the target parameter, making it an important tool in causal inference, particularly in the estimation of the conditional average treatment effect (CATE). However, its application on conditional quantile treatment effect (CQTE), which offers a more comprehensive perspective on treatment effects than CATE, has not yet…

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Partial Effects in Time-Varying Linear Transformation Panel Models with Endogeneity

含内生性的时变线性变换面板模型中的偏效应

This article develops a new estimator for an average partial effect in nonlinear panel models, where outcomes are time-varying monotonic transformations of latent variables that include fixed effects and endogenous regressors. The partial effect can be time-varying and the counterfactual shift is scale invariant—key advantages over the linear model. We exploit a conditional moment restriction and address the ill-posed nature of recovering the transformation functions using…

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Binary Outcomes and Linear Interactions

二元结果与线性交互

We consider general models of linear interactions in binary outcomes. We first characterize the conditions under which these models are coherent and complete. Next, we show that models of linear interactions admit sound microfoundations under assumptions of incomplete information and independence. To help guide practitioners, we discuss key modeling choices and testable restrictions. We then consider a specification that is linear in parameters, and propose a simple…

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Robust Reproducible Network Exploration

稳健且可复现的网络探索

We propose a novel methodology for discovering the presence of relationships realized as binary time series between variables in high dimension. To make it visually intuitive, we regard the existence of a relationship as an edge connection, and call a collection of such edges a network. Our objective is thus rephrased as uncovering the network by selecting relevant edges, referred to as the network exploration. Our methodology is based on multiple testing for the presence or…

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High-Dimensional Quantile Vector Autoregression with Influencers and Communities

含影响节点与社群的高维分位数向量自回归

Quantile vector autoregression (QVAR) models offer enhanced capabilities over vector autoregression (VAR) models in analyzing asymmetric interactions within multiple time series and are widely used in many areas, including finance and economics. However, in scenarios involving high-dimensional data where the number of time series N exceeds the length of the time series T, both parameter estimation and the theoretical establishment present significant challenges. Notably,…

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Inferences on Mixing Probabilities and Ranking in Mixed-Membership Models

混合成员模型中混合概率与排序的统计推断

Network data is prevalent in numerous big data applications, including economics and health networks, where understanding the latent structure of the network is of prime importance. In this paper, we model the network using the Degree-Corrected Mixed Membership (DCMM) model. In the DCMM model, for each node i, there exists a membership vector πi=(πi(1),πi(2),…,πi(K)), where πi(k) denotes the weight that node i puts in community k. We derive a novel finite-sample expansion…

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Nonparametric Tests of Treatment Effect Homogeneity for Policy-Makers

面向政策制定者的处理效应同质性非参数检验

Recent work has focused on nonparametric estimation of conditional treatment effects, but inference has remained relatively unexplored. We propose a class of nonparametric tests for both quantitative and qualitative treatment effect heterogeneity. The tests can incorporate a variety of structured assumptions on the conditional average treatment effect, allow for both continuous and discrete covariates, and do not require sample splitting to obtain a tractable asymptotic null…

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CCE Estimation of Heterogeneous Panel Quantile Regression Models with Relatively Small T

时间维度较小时异质性面板分位数回归的 CCE 估计

We consider a common correlated effects estimator for panel quantile regression models featuring heterogeneous slope coefficients and interactive fixed effects. Using convolution smoothing to facilitate the derivation of asymptotic properties, our method allows the number of time periods (T) to grow at a much slower rate than the number of cross-sectional units (N). We establish that the mean group estimator converges to a limiting normal distribution, which may have a…

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Financial Aid and Upward Mobility: Evidence from Colombia’s Ser Pilo Paga

助学金与向上流动:来自哥伦比亚 Ser Pilo Paga 项目的证据

We study the impact of financial aid on upward mobility. We estimate the causal impacts of a Colombian policy targeting high-achieving, low-socioeconomic-status students on later-life educational and labor market outcomes. Using regression discontinuity design, difference-in-differences, and population-wide administrative microdata, we find that the policy boosted attendance and completion at high-value-added colleges, particularly in STEM fields. Improved college quality…

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A Method to Estimate Discrete Choice Models That Is Robust to Consumer Search

对消费者搜索具有稳健性的离散选择模型估计方法

We state conditions under which choice data suffice to identify preferences when consumers may not be fully informed about attributes of goods. Our approach can be used to test for full information, forecast how consumers will respond to information, and conduct welfare analysis when consumers are imperfectly informed. In a lab experiment, we successfully forecast the average response to new information when consumers engage in costly search. In data from Expedia, our method…

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Identification and estimation in a time-varying endogenous random coefficient panel data model

时变内生随机系数面板模型的识别与估计

This paper proposes a correlated random coefficient linear panel data model, where regressors can be correlated with time-varying and individual-specific random coefficients through both a fixed effect and a time-varying random shock. I develop a new panel data-based method to identify the average partial effect and the local average response function. The identification strategy employs a sufficient statistic to control for the fixed effect and a control variable for the…

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Distributional effects with two-sided measurement error: An application to intergenerational income mobility

双侧测量误差下的分布效应:代际收入流动应用

This paper considers identification and estimation of distributional effect parameters that depend on the joint distribution of an outcome and another variable of interest (“treatment”) in a setting with “two-sided” measurement error—that is, where both variables are possibly measured with error. Examples of these parameters in the context of intergenerational income mobility include transition matrices, rank-rank correlations, and the poverty rate of children as a function…

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Estimation and inference in boundary discontinuity designs: Distance-based methods

边界断点设计的估计与推断:基于距离的方法

We study nonparametric distance-based (isotropic) local polynomial methods for estimating the boundary average treatment effect curve, a causal functional that captures treatment effect heterogeneity in boundary discontinuity designs. We establish identification, estimation, and inference results both pointwise and uniformly along the treatment assignment boundary. We show that the geometric regularity of the boundary, a one-dimensional manifold, plays a central role in…

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Semi-nonparametric models of multidimensional matching: An optimal transport approach

多维匹配的半非参数模型:最优传输方法

This paper develops a set of empirically tractable and flexible sieve estimators for semi-nonparametric multidimensional matching models with transferable utility, focusing on worker-job matching. We generalize the parametric quadratic-Gaussian framework employed by Bojilov and Galichon (2016) and Lindenlaub (2017), which relies on joint normality of observed characteristics. We allow unrestricted distributions of characteristics and show identification of the production…

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