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Testing for Unit roots Consider an AR(1): y=a+p +e,t Let Ho: p=1, (assume there is a unit root) Define 0=p-1 and subtract y, from both sides to obtain Ay,=a+ B+e, Unfortunately, a simple t-test is inappropriate, since this is an I(1) process ADickey-Fuller Test uses the t-statistic, but different critical values Economics 20- Prof anderson
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▪ 10.1 时间序列分解 ▪ 10.2 长期趋势分析 ▪ 10.3 季节变动分析 ▪ 10.4 循环波动分析 ▪ 10.5 时间序列的自相关分析 ▪ 10.6 时间序列的动态分析指标 ▪ 10.7 景气循环分析
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Choosing a Topic Start with a general area or set of questions Make sure you are interested in the topic Use on-line services such as EconLit to investigate past work on this topic Narrow down your topic to a specific question or issue to be investigated Work through the theoretical issue Economics 20-Prof. Anderson
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多重反应的收率及选择性 多重反应包括:同时反应,平行反应,连串反应,平行连串反应 1.同时反应:反应系统中同时进行两个或两个以上的反应物与产物 都不相同的反应:如:
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Binary dependent variables Recall the linear probability model, which can be written as P(=1x)=Bo+xB a drawback to the linear probability model is that predicted values are not constrained to be between 0 and An alternative is to model the proba、,s a function, G(Bo+xB), where 0
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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
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Fixed Effects estimation When there is an observed fixed effect. an alternative to first differences is fixed effects estimation Consider the average over time of y Bx1+…+Bxik+a1+l The average of a, will be ai so if you subtract the mean. a will be differenced out just as when doing first differences Economics 20- Prof anderson
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9.1 向量自回归理论 9.2 结构VAR(SVAR)模型的识别条件 9.3 VAR模型的检验 9.4 脉冲响应函数 9.5 方差分解 9.6 Johansen协整检验 9.7 向量误差修正模型(VEC)
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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
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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
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