Simultaneity Simultaneity is a specific type of endogeneity problem in which the explanatory variable is jointly determined with the dependent variable 2 As with other types of endogeneity, IV estimation can solve the problem o Some special issues to consider with simultaneous equations modelS(SEM) Economics 20- Prof anderson

Why Use Instrumental Variables? e Instrumental Variables(IV)estimation is used when your model has endogenous xs That is, whenever Cov(x,l)≠0 Thus. i can be used to address the problem of omitted variable bias 2 Additionally iv can be used to solve the classic errors-in-variables problem Economics 20- Prof anderson

A True panel vs a Pooled cross section Often loosely use the term panel data to refer to any data set that has both a cross sectional dimension and a time-series dimension More precisely it's only data following the same cross-section units over time Otherwise it's a pooled cross-section Economics 20- Prof anderson

Stationary Stochastic Process e A stochastic process is stationary if for every collection of time indices 11 e Thus, stationarity implies that the x,'s are dentically distributed and that the nature of any correlation between adjacent terms is

Functional form e We' ve seen that a linear regression can really fit nonlinear relationships 2 Can use logs on RHS, LHS or both Can use quadratic forms ofx's Can use interactions ofx's e How do we know if we've gotten the right functional form for our model? Economics 20- Prof anderson

Consistency e Under the Gauss-Markov assumptionS OLS IS BLUE, but in other cases it wont always be possible to find unbiased estimators o In those cases, we may settle for estimators that are consistent, meaning as n→>∞,the distribution of the estimator collapses to the parameter value Economics 20- Prof anderson

Parallels with Simple regression Bo is still the intercept B, to Bk all called slope parameters u is still the error term(or disturbance) Still need to make a zero conditional mean assumption, so now assume that E(lx,x2…,x)=0 Still minimizing the sum of squared residuals. so have k+l first order conditions Economics 20- Prof anderson

一、异方差性的概念——违反基本假设的定义及违反的原因 二、异方差性的后果——违反基本假设会造成什么样的后果 三、异方差性的检验——怎样诊断是否违反基本假设 四、出现异方差时的补救措施——如何消除或减弱对基本假设的违反 五、案例

一、单项选择题 1、用模型描述现实经济系统的原则是( B ) A. 以理论分析作先导，包括的解释变量越多越好 B. 以理论分析作先导，模型规模大小要适度 C. 模型规模越大越好；这样更切合实际情况 D. 模型规模大小要适度，结构尽可能复杂

一、二元离散选择模型的经济背景 二、二元离散选择模型 三、二元 Probit离散选择模型及其参数估计 四、二元 Logit离散选择模型及其参数估计 五、二元离散选择模型的变量显著性检验