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格兰杰因果关系检验结果说明
一、经济变量之间的因果性问题
计
量经济模型的建立过程,本质上是用回归分析工具处理一个经济变量对其他
经济变量的依
存性问题,但这并不是暗示这个经济变量与其他经济变量间必然存在
着因果关系。
由于没有因果关系的变量之间常常有很好的回归拟合,把回归模型
的解释变量
与被解释变量倒过来也能够拟合得很好,因此回归分析本身不能检验因果关系
的存
在性,也无法识别因果关系的方向。
< br>假设两个变量,比如国内生产总值
GDP
和广义货币供给
量
M
,各自都有滞后的
分量
GDP(-1)
,
GDP(-
2)…,
M(-1)
,
M(-2)
,…,显然这两个变量都存在着相互影
响的关系。但现在的问题
是
:
究竟是
M
引起
GDP
的变化,还是
GDP
引起
M
的变化,
或者
两者间相互影响都存在反馈,即
M
引起
GDP
的变化,同时
GDP
也引起
p>
M
的变
化。这些问题的实质是在两个变量间
存在时间上的先后关系时,是否能够从统计意
义上检验出因果性的方向,即在统计上确定
GDP
是
M
的
因,还是
M
是
GDP
< br>的因,或
者
M
和
GDP
互为因果。
因果关
系研究的有趣例子是回答“先有鸡还是先有蛋”的问题。
1988
年有两位
学者
Walter N.
Thurman
和
Mark E. Fisher
用美国
1930
——
198
3
年鸡蛋产量
(EGGS)
和鸡的产量
(CHICKENS)
的年度数据,对此问题进行了统计研究。
他们运用格
兰杰的方法检验鸡和蛋之间的因果关系,结果发现,鸡生蛋的假设被拒绝,而
蛋生
鸡的假设成立,因此,蛋为因,鸡为果,也就是先有蛋。他们并建议作其他诸如
p>
“谁笑在最后谁笑得最好”、“骄傲是失败之母”之类的格兰杰因果检验。
< br>
二、格兰杰因果关系检验
strengthen the sense of responsibility,
work to solve the lack of
decent
occupation explain away, conduct problems. To
establish the
overall concept,
eliminate departmentalism. Strict assessment and
accountability, to solve the spiritual
slack, nianqingpazhong, status
quo, and
other issues. To establish and perfect the muddle
along Bureau
staff conduct work
regulations, standardize the behavior of
personnel. 2.
To strengthen the
responsibility system. One is the in-depth study
and
implement the
Interim
Provisions on the work safety of a pair of >
(Hunan Office
issued 2013 No.
5),
responsibilities of the provisions
on the production (Hunan Zhengban
made
2013 No. 4) And resolutely implement the safety
production of the
party with
responsibility, a pair of responsibility.
safety production administration and
inspection to promote the
responsibilities bear safety production
supervision departments strictly
and
effectively assumed responsibility. The three is
to establish risk
self correction self
reporting system for safety in production
enterprises, promote the enterprises to
implement the main
responsibility for
production safety is introduced. Four strengthen
the
county safety production
supervision ability construction work, promote
safe production responsibility to the
grassroots. 3, strict
accountability
and target management. Adhere to the
who
is responsible for the pipe industry must be safe,
Guan Sheng
production and operation
must be safe, pipe business must control
security
safety
production of key towns, key enterprises and key
problems, by the
township government
and the Department responsible for the stagnation
led the lump sum, to tackle tough. To
further increase the production
safety
index assessment, strictly implement the safety
production of the
and
restraint mechanism. (six) the implementation of
the work force is
not strong. The
documents, meeting, long work arrangement, check
and
supervise the implementation of
small, poor implementation of the system,
the work is not effective. Some leading
cadres sense of purpose,
consciousness
of the masses is not strong, the ruling
in place. The specific work
treats with the deployment, a few leading
cadres complain that work is too
complicated, too much responsibility,
the pressure is too large, too much
emphasis on the difficulty of the
work,
such as underground mines to avoid the disaster
of
form, forwarding
arrangements work, no in-depth mining enterprises
to
promote the specific work, the
increase in the number of files, but the
effect is not good, not according to
the actual situation of non coal
mines
in the county, to engage in
经济学家开拓了一种可以用
来分析变量之间的因果的办法,即格兰杰因果关系
检验。该检验方法为
< br>2003
年诺贝尔经济学奖得主克莱夫
?
格兰杰
(Clive W. J.
Granger)
所开创,用于分析经济变量之间的因果关系。他给因果关系的定义为“依
赖于使用过去某些时点上所有信息的最佳最小二乘预测的方差。”
在时间序列情形下,两个经济变量
X
、
Y
之间的格兰杰因果关系定义为
:
若在包
含了变量
X
、
Y
的过去信息的条件下,对变量
Y
的预测效果要优于只单独由
Y
的过
去信息对
Y
进行的预测效果,即变量
< br>X
有助于解释变量
Y
的将来变化
,则认为变量
X
是引致变量
Y
的格兰杰原因。
进行格兰杰因果关系检验的
一个前提条件是时间序列必须具有平稳性,否则可
能会出现虚假回归问题。因此在进行格
兰杰因果关系检验之前首先应对各指标时间
序列的平稳性进行单位根检验
(unit root test)
。常用增广的迪基—富勒检验
(ADF
检验
)
来分别对各
指标序列的平稳性进行单位根检验。
格兰杰因果关系检验假
设了有关
y
和
x
每一变量的预测的信息全部包含在这些
变量的时间序列之中。检验要求估计以下的回归
:
(1)
(2)
其中白噪音
u
和
u
假定为不相关的。
1t2t
式
(1)
假定当前
y
< br>与
y
自身以及
x
的过去值有关,而式
(2)
对
x
也假定了类似的
行为。
对式
(1)
而言,其零假设
H :α=α=…=α=0。
012q
strengthen the sense of responsibility,
work to solve the lack of
decent
occupation explain away, conduct problems. To
establish the
overall concept,
eliminate departmentalism. Strict assessment and
accountability, to solve the spiritual
slack, nianqingpazhong, status
quo, and
other issues. To establish and perfect the muddle
along Bureau
staff conduct work
regulations, standardize the behavior of
personnel. 2.
To strengthen the
responsibility system. One is the in-depth study
and
implement the
Interim
Provisions on the work safety of a pair of >
(Hunan Office
issued 2013 No.
5),
responsibilities of the provisions
on the production (Hunan Zhengban
made
2013 No. 4) And resolutely implement the safety
production of the
party with
responsibility, a pair of responsibility.
safety production administration and
inspection to promote the
responsibilities bear safety production
supervision departments strictly
and
effectively assumed responsibility. The three is
to establish risk
self correction self
reporting system for safety in production
enterprises, promote the enterprises to
implement the main
responsibility for
production safety is introduced. Four strengthen
the
county safety production
supervision ability construction work, promote
safe production responsibility to the
grassroots. 3, strict
accountability
and target management. Adhere to the
who
is responsible for the pipe industry must be safe,
Guan Sheng
production and operation
must be safe, pipe business must control
security
safety
production of key towns, key enterprises and key
problems, by the
township government
and the Department responsible for the stagnation
led the lump sum, to tackle tough. To
further increase the production
safety
index assessment, strictly implement the safety
production of the
and
restraint mechanism. (six) the implementation of
the work force is
not strong. The
documents, meeting, long work arrangement, check
and
supervise the implementation of
small, poor implementation of the system,
the work is not effective. Some leading
cadres sense of purpose,
consciousness
of the masses is not strong, the ruling
in place. The specific work
treats with the deployment, a few leading
cadres complain that work is too
complicated, too much responsibility,
the pressure is too large, too much
emphasis on the difficulty of the
work,
such as underground mines to avoid the disaster
of
form, forwarding
arrangements work, no in-depth mining enterprises
to
promote the specific work, the
increase in the number of files, but the
effect is not good, not according to
the actual situation of non coal
mines
in the county, to engage in
对式
(2)
而言,其零假设
H
:δ=δ=…=δ=0。
011s
分四种情形讨论
:
(1)x
是引起
y
变化的原因,即存在由
x
到
y
的单向因果关系。若
式
(1)
中滞后
的
x
的系数估计值在统计上整体的显著不为零,同时式
(2)
中滞后的
y
的系数估计
值在统计上整体的显著为零,则称
x
是引起
y
变化的原因。
(2
)y
是引起
x
变化的原因,即存在由<
/p>
y
到
x
的单向因
果关系。若式
(2)
中滞后
的
y
的系数估计值在统计上整体的显著不为零,同时式
(1)
中滞后的
x
的系数估计
p>
值在统计上整体的显著为零,则称
y
是引起
x
变化的原因。
< br>(3)x
和
y
互为因果关系,即
存在由
x
到
y
的单向因果关系,同时也存在由
y
到
x
的单向因果关系。若式
(1)
中滞后的
x
的系数估计值在统计上整体的显著不为
零,同时式
(2)
中滞后的
y
的系数估计值在统计上整体的显著不为零,则称
x
和
y
间存在反馈关系,或者双向因果关系。
(4)x
和
y
是独立的,或
x
与
y
p>
间不存在因果关系。若式
(1)
中滞后的<
/p>
x
的系数
估计值在统计上整体的显著为零
,同时式
(2)
中滞后的
y
的系数估计值在统计上整
体的显著为零,则称
x<
/p>
和
y
间不存在因果关系。
三、格兰杰因果关系检验的步骤
(1)
将当前的
y
对所有的
滞后项
y
以及别的什么变量
(
如果有的话
)
做回归,即
y
对
y
的滞后项
y
,
y
,…,
y
及其他变量的回归,但在这一回归中没有把滞后项
x
p>
包
括进
t-1t-2t-q
来,这是一个受约束的回归。然后从此回归得到受约束的残差平方和
RSS<
/p>
。
R
(2)
做一个含有滞后项
x
的回归,即在前面的回归式中加进滞后项<
/p>
x
,这是一个
无约束的回归,由此回归得
到无约束的残差平方和
RSS
。
UR
(3)
零假设是
H:α=α=…=α=
0,即滞后项
x
不属于此回归。
012q
strengthen the sense of
responsibility, work to solve the lack of
decent occupation explain away, conduct
problems. To establish the
overall
concept, eliminate departmentalism. Strict
assessment and
accountability, to solve
the spiritual slack, nianqingpazhong, status
quo, and other issues. To establish and
perfect the muddle along Bureau
staff
conduct work regulations, standardize the behavior
of personnel. 2.