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皓月 · 2022年11月15日

题目我虽然做对了

* 问题详情,请 查看题干

NO.PZ201709270100000406

问题如下:

6. Based on the data for the AR(1) model in Exhibits 1 and 2, Martinez can conclude that the:

选项:

A.

residuals are not serially correlated.

B.

autocorrelations do not differ significantly from zero.

C.

standard error for each of the autocorrelations is 0.0745.

解释:

C is correct. The standard error of the autocorrelations is calculated as 1T\frac{1}{\sqrt{T}}, where T represents the number of observations used in the regression. Therefore, the standard error for each of the autocorrelations is 1180\frac{1}{\sqrt{180}} = 0.0745. Martinez can conclude that the residuals are serially correlated and are significantly different from zero because two of the four autocorrelations in Exhibit 2 have a t-statistic in absolute value that is greater than the critical value of 1.97.

Choices A and B are incorrect because two of the four autocorrelations have a t-statistic in absolute value that is greater than the critical value of the t-statistic of 1.97.

但是对于表2,我有点疑问,比如AR1和AR2存在序列相关,但是AR3和AR4不存在的话?

可以得出一个什么结论?比如我们可以用AR3或者AR4模型吗?

1 个答案

星星_品职助教 · 2022年11月15日

同学你好,

1)Exhibit 2对应的是AR(1) model,不涉及AR(2)或者AR(3)等;

2)序列相关指的是残差项自己和自己相关。Exhibit 2中的lag项也是残差项的滞后项,例如lag 4就相当于残差项和自己的滞后四项,即ε(t)和ε(t-4)之间的相关系数;

3)由于lag 1和lag2这两个滞后项都拒绝了ρ=0(no serial correlation)的原假设,结论即为有serial correlation,模型需要修正;

4)修正模型的方法为将AR(1)增加一项,变为AR(2),再进行检验。如果还存在serial correlation的问题,则增加到AR(3),以此类推,直到问题消除为止;

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