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aileen20180623 · 2019年01月07日

问一道题:NO.PZ2015120204000006

问题如下图:

    

选项:

A.

B.

C.

解释:


1.您好,表格中的检验是检验b1是否为0,二题目中说的是0.05significant level ,0 实在这个区间内,所以接受原假设?

2. 我想问一下F检验=0 能代表什么意思?是说MSR大还是MSE小?

3.为什么c对?

4.是不是一定要同时观察 significant F和t检验的值?

1 个答案

菲菲_品职助教 · 2019年01月08日

同学你好,

1. 可以看做是检验系数b1是否为0。

2. 5%是显著性水平,我们判断是否要拒绝原假设是通过

1)比较5%显著性水平的临界值和t统计量;2)比较p-value和显著性水平。

并不是说0在这个区间内就不拒绝原假设。

3. 题目表格中的这个Significance F等于0,这里的Significance F其实跟P-value的原理一样,也就是C选项说的p-value for F,其实就相当于是F检验的p-value,可以直接拿这个跟显著性水平α进行比较来得出结论。

4. 当p-value和Significance F小于α时,我们就拒绝原假设,所以说明这个回归方程在5%的显著性水平下是显著的。所以C对。

5. 对于这个题目来说,只有一个自变量的时候,其实用两者其中任意一个来得出结论都是可以的。(因为F检验代表的是所有自变量作为一个整体的检验,对于一元回归来说,跟t检验的结果是一样的。)

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