計量經(jīng)濟(jì)學(xué)講義(廈門大學(xué)黃長全)Cha.ppt
2019/12/3,1,Chapter 5 How to use the multiple linear regression model,2,2019/12/3,General linear models Suppose that we have a model: It is inherently linear for the parameters if it can be transformed into Examples: 1. Exponential model:,3,2019/12/3,2. Reciprocal model: 3. Double-log(constant elasticity) model:,4,2019/12/3,But the following model is not inherently linear: For others, see page72-73,5,2019/12/3,What is the dummy variable 屬性因素: Man and Woman, City and country, developed country and developing country 經(jīng)濟(jì)環(huán)境的變化: Peace and war 淡季和旺季 風(fēng)調(diào)雨順和洪災(zāi)旱災(zāi) All these have a good or bad influence on economy.,6,2019/12/3,A dummy variable is a binary variable, that is, Example:,7,2019/12/3,加法方式: 消費函數(shù) 乘法方式: 消費函數(shù) 同時考慮兩方式:,8,2019/12/3,臨界值虛擬變量(Note: p76, 總消費函數(shù)例子是引入臨界值虛擬變量) 進(jìn)口消費品額 Y, 國民收入 X 進(jìn)口消費品回歸模型,9,2019/12/3,case studies(P77-78) Use of t and F-tests to test hypotheses Involving multiple parameters Joint tests on several regression parameters: Suppose that we have a model And the null hypothesis is,10,2019/12/3,The test statistic is 2. Tests involving linear functions of the regression parameters 3. Tests involving the equality of coefficients of different regression equations: Chow- test (a special F-test),11,2019/12/3,Regression model with random explanatory variables: 1)若X與誤差項獨立, 則前面所得結(jié)論仍成立. 2)若X與誤差項不相關(guān), 則OLSE是一致估計也是漸進(jìn)無偏的. 3)若X與誤差項相關(guān),則OLSE不是一致估計也不是漸進(jìn)無偏的. OLS失效. Homework: P87, ex5.1 and 5.2,