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Alfred · 2024年06月01日

请问这道题怎么理解

NO.PZ2023040502000048

问题如下:

Results of the unit root test for nonstationarity and of a test for the presence of heteroskedasticity are reported in Exhibit 5.


Based on the results reported in Exhibit 5, the AR(1) model is best described as having:

选项:

A.

a unit root

B.

heteroskedasticity in the error term variance

C.

reliable standard errors

解释:

B is correct. Because the unit root test statistic (–18.7402) is smaller than the critical value(–2.89), the AR(1) model does not exhibit a unit root. The test for heteroskedasticity, however, suggests that the error term variances are heteroskedastic. The heteroskedasticity test statistic (2.016733) is greater than the critical value (1.96). A more sophisticated approach, such as generalized least squares, is needed.

A is incorrect. The significantly negative test statistic strongly suggests the absence of a unit root.

C is incorrect. When a model exhibits ARCH, the standard errors for the regression parameters will not be correct.

unit root test的原假设是g=0。t-stat < critical value,不能拒绝原假设。所以有unit root。为什么不选A呢

1 个答案

品职助教_七七 · 2024年06月02日

嗨,从没放弃的小努力你好:


拒绝原假设的原则是一组绝对值的关系:|test statistic|>|critical value|,则拒绝原假设。

故应拒绝unit root test的原假设。即g不是0,没有unit root。

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