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台风来了 · 2024年05月16日

统计表中的significance of F表示什么含义?

NO.PZ2023040502000027

问题如下:

Charlent regresses monthly total returns of the Bangkok SET Index on one-month Libor (for a US dollar–denominated contract). The period of the study is from July 2006 to December 2013. To improve the statistical validity of the variables, for both the SET Index and Libor, Charlent uses the natural logarithms of one plus the monthly returns in the regression calculation.


Charlent next regresses the natural logarithm of one plus the SET Index monthly returns on the natural logarithm of one plus Libor, the natural logarithm of one plus the effective Fed funds rate, and the $/£ exchange rate. The results are reported in the following Exhibit.


Then report the pairwise correlations of the variables used in the second regression.


Geoffrey Small states that the highly significant F-statistic of the second regression along with the increased R2 of the second regression means that the addition of the Fed funds rate and the $/£ exchange rate to the analysis provides more reliable estimates of linear associations than the first regression.

Regarding Geoffrey Small’s statement about the second regression, which of the following is most accurate?

选项:

A.

It is true that the second regression has substantially greater explanatory power than the first regression.

B.

The second regression displays multicollinearity.

C.

The F-statistic of the second regression is likely underestimated.

解释:

The high pairwise correlations of Exhibit 5, especially the correlation between Libor and Fed funds, suggest a multicollinearity problem. In the presence of multicollinearity, R2s and F-statistics are overstated, and estimates of the coefficients become extremely imprecise and unreliable.

表中的F统计了的显著性是什么意思啊?如果换成某个系数的t统计量的显著性呢?如何理解?谢谢!

2 个答案

品职助教_七七 · 2024年05月17日

嗨,努力学习的PZer你好:


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

品职助教_七七 · 2024年05月16日

嗨,努力学习的PZer你好:


significance of F,就是F test的p-value的另一种说法。

如果是t test,对应的指标为significance of t,或者直接就是p-value。


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努力的时光都是限量版,加油!

台风来了 · 2024年05月16日

那就是significance 越小越拒绝原假设咯?和p-value一样,是吗?

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