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【练习题8.3参考解答】
1)方差分析
在Eviews中录入相应的数据,显示城镇居民消费水平xfcity、农村居民消费水平xfcountry。
在此数据界面左上角点击“view” Tests of Equality…,选择“Mean”,有如下结果
Test for Equality of Means Between Series
Date: 08/16/13 Time: 16:52
Sample: 1978 2012
Included observations: 35
Method df Value Probability
t-test 68 4.136590 0.0001
Anova F-statistic (1, 68) 17.11138 0.0001
Analysis of Variance
Source of Variation df Sum of Sq. Mean Sq.
Between 1 3.05E+08 3.05E+08
Within 68 1.21E+09 17828696
Total 69 1.52E+09 21991664
Category Statistics
Std. Err.
Variable Count Mean Std. Dev. of Mean
XFCITY 35 5879.000 5738.585 969.9979
XFCOUNTRY 35 1703.743 1651.070 279.0818
All 70 3791.371 4689.527 560.5057
Test for Equality of Means Between Series
Date: 08/16/13 Time: 17:17
Sample: 1978 2012
Included observations: 35
Method df Value Probability
t-test 68 4.13658985341172 9.91359144992841e-05
Anova F-statistic (1, 68) 17.1113756153488 9.91359144992841e-05
Analysis of Variance
Source of Variation df Sum of Sq. Mean Sq.
Between 1 305073513.657143 305073513.657143
Within 68 1212351326.68571 17828695.9806723
Total 69 1517424840.34286 21991664.352795
Category Statistics
Std. Err.
Variable Count Mean Std. Dev. of Mean
XFCITY 35 5879 5738.58504285836 969.997913018633
XFCOUNTRY 35 1703.74285714286 1651.07046101216 279.081844996199
All 70 3791.37142857143 4689.52709266031 560.505694539634
其中,1)组间方差=3.05E+08;组内方差=1.21E+09;
2)城镇居民消费的均值=5879.000;农村居民消费的均值=1703.743。
2)计量经济学估计结果:
虚拟变量设定:
Dependent Variable: XF
Method: Least Squares
Date: 08/16/13 Time: 16:57
Sample: 1 70
Included observations: 70
Variable Coefficient Std. Error t-Statistic Prob.
C 1703.743 713.7165 2.387142 0.0198
DUM 4175.257 1009.348 4.136590 0.0001
R-squared 0.201047 Mean dependent var 3791.371
Adjusted R-squared 0.189298 S.D. dependent var 4689.527
S.E. of regression 4222.404 Akaike info criterion 19.56235
Sum squared resid 1.21E+09 Schwarz criterion 19.62659
Log likelihood -682.6823 F-statistic 17.11138
Durbin-Watson stat 0.248744 Prob(F-statistic) 0.000099
3)比较分析
,表明农村居民平均消费水平=1703.743,与统计学中农村居民消费的均值=1703.743相等;
,表明城镇居民平均消费水平=5879,与统计学中城镇居民消费的均值=5879.000相等;
DUM前系数4175.257表明平均意义上城镇与农村居民消费水平间的差异;
总离差平方和= (方差分析中,总离差平方和=1517424840.34286=1.52E+09)
残差平方和=
(方差分析中,组内方差=1212351326.68571=1.21E+09)
解释了的平方和=
(方差分析中,组间方差=305073513.657143=3.05E+08)
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