刚刚开始学计量,做了一下书上的案例(《计量经济学》(第三版)李子奈 潘文卿),就是关于农村居民家庭纯收入与消费的
主要目的就是搞懂异方差 问题在于用怀特检验无交互项的时候一次项不见了 求高手指点迷津啊~ 下面是一些相关的结果
先用最小二乘法做出的结果
Dependent Variable: LOG(Y)
Method: Least Squares
Date: 06/14/12 Time: 14:13
Sample: 1 31
Included observations: 31
Variable Coefficient Std. Error t-Statistic Prob.
C 3.266068 1.041591 3.135653 0.0040
LOG(X1) 0.150214 0.108538 1.383975 0.1773
LOG(X2) 0.477453 0.051595 9.253853 0.0000
R-squared 0.779878 Mean dependent var 7.928613
Adjusted R-squared 0.764155 S.D. dependent var 0.355750
S.E. of regression 0.172766 Akaike info criterion -0.581995
Sum squared resid 0.835744 Schwarz criterion -0.443222
Log likelihood 12.02092 Hannan-Quinn criter. -0.536758
F-statistic 49.60117 Durbin-Watson stat 1.780981
Prob(F-statistic) 0.000000
有交互项
Heteroskedasticity Test: White
F-statistic 9.833740 Prob. F(5,25) 0.0000
Obs*R-squared 20.55085 Prob. Chi-Square(5) 0.0010
Scaled explained SS 19.81046 Prob. Chi-Square(5) 0.0014
Test Equation:
Dependent Variable: RESID^2
Method: Least Squares
Date: 06/14/12 Time: 14:27
Sample: 1 31
Included observations: 31
Variable Coefficient Std. Error t-Statistic Prob.
C 10.24328 5.474522 1.871082 0.0731
LOG(X1) -2.329070 1.116442 -2.086153 0.0473
(LOG(X1))^2 0.149114 0.058107 2.566195 0.0167
(LOG(X1))*(LOG(X2)) 0.019333 0.041265 0.468507 0.6435
LOG(X2) -0.457307 0.454020 -1.007238 0.3235
(LOG(X2))^2 0.021101 0.013357 1.579694 0.1267
R-squared 0.662931 Mean dependent var 0.026959
Adjusted R-squared 0.595517 S.D. dependent var 0.042129
S.E. of regression 0.026794 Akaike info criterion -4.229312
Sum squared resid 0.017948 Schwarz criterion -3.951766
Log likelihood 71.55434 Hannan-Quinn criter. -4.138839
F-statistic 9.833740 Durbin-Watson stat 1.462377
Prob(F-statistic) 0.000027
无交互项(问题就在这, ln(x1) 和 ln(x2)就这样没了)
Heteroskedasticity Test: White
F-statistic 2.055849 Prob. F(2,28) 0.1469
Obs*R-squared 3.969352 Prob. Chi-Square(2) 0.1374
Scaled explained SS 3.826348 Prob. Chi-Square(2) 0.1476
Test Equation:
Dependent Variable: RESID^2
Method: Least Squares
Date: 06/14/12 Time: 15:28
Sample: 1 31
Included observations: 31
Variable Coefficient Std. Error t-Statistic Prob.
C 0.096459 0.124310 0.775959 0.4443
(LOG(X1))^2 -0.002024 0.001779 -1.138106 0.2647
(LOG(X2))^2 0.000702 0.000793 0.884917 0.3837
R-squared 0.128044 Mean dependent var 0.026959
Adjusted R-squared 0.065761 S.D. dependent var 0.042129
S.E. of regression 0.040720 Akaike info criterion -3.472410
Sum squared resid 0.046428 Schwarz criterion -3.333637
Log likelihood 56.82235 Hannan-Quinn criter. -3.427173
F-statistic 2.055849 Durbin-Watson stat 1.756596
Prob(F-statistic) 0.146868