V2EX two-stage least squares

Two-Stage Least Squares

定义 Definition

two-stage least squares(2SLS,二阶段最小二乘法):一种用于存在内生性(解释变量与误差项相关)时的回归估计方法,属于工具变量(IV)方法的常见实现。
它分两步:
1)用工具变量等对内生解释变量做回归,得到预测值(第一阶段);
2)用该预测值替代原内生变量,再对因变量做最小二乘回归(第二阶段)。
(在满足工具变量相关性与外生性等条件下,可得到一致估计。)

发音 Pronunciation

/tu sted list skwrz/

例句 Examples

We used two-stage least squares to estimate the causal effect.
我们用二阶段最小二乘法来估计因果效应。

Because price is endogenous, the study applies two-stage least squares with cost shifters as instruments to identify demand.
由于价格是内生的,该研究使用以成本变动因素为工具变量的二阶段最小二乘法来识别需求。

词源 Etymology

该术语由方法步骤直接命名:two-stage 表示“分两阶段”,least squares 指“最小二乘”这一经典回归准则。二阶段最小二乘法可视为把工具变量思想落地成一个可操作的“两步回归”流程,因此在计量经济学中成为解释与实施 IV 估计的标准术语之一。

相关词 Related Words

文学与著作 Literary Works

  • Econometric Analysis(William H. Greene)系统讲解 2SLS/IV 的理论与应用
  • Econometric Analysis of Cross Section and Panel Data(Jeffrey M. Wooldridge)以一致性与内生性处理为主线讨论 2SLS
  • Mostly Harmless Econometrics(Joshua D. Angrist & Jrn-Steffen Pischke)以应用视角介绍 IV/2SLS 的实践与陷阱
  • Introduction to Econometrics(James H. Stock & Mark W. Watson)入门教材中常用 2SLS 作为 IV 的核心实现方法
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