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尼克内姆 · 2019年11月03日

问一道题:NO.PZ2015120604000137 [ 2020.06 CFA I ]

问题如下图:

选项:

A.

B.

C.

请问,(1)这道题目是右侧单边检验还是左侧单边检验?

(2)这道题目,查t分布,应该自由度为63,然后用单侧5%、0.5%、1%,查出来的数字跟答案的关键值都不一样,这个是怎么回事?

1 个答案

星星_品职助教 · 2019年11月04日

同学你好,

这道题的拒绝域应该在右尾,但其实无论是左尾还是右尾其实都不会影响最终的结果,只要计算出来的t统计量的绝对值大于临界值,就拒绝。

T临界值的自由度是63没问题的,不过一般的表都不会延伸到63这么长,原版书给的附表自由度也是只到60。但因为这道题样本容量很大,t分布趋近于正态分布,所以可以简单的用正态分布的值(n很大时和t差距微乎其微)来做判断,例如单侧5%为1.645,1%为2.33, 0.5%为2.58等。不会影响结果的。

但如果在真实的考试中,具体的t critical value是会给出的。以5%单尾为例,很可能出题形式为直接给出t(64,5%)的值,t(63,5%)的值,t(63,10%)的对应值等等,让考生去自行选择用哪一个。会选即可。加油

denzel wu · 2019年12月01日

假设考试给出这些值, t(64,5%)的值,t(63,5%)的值,t(63,10%) , 那它默认表示单尾的值还是双尾的值?

星星_品职助教 · 2019年12月01日

考试时候的出题非常严谨,需要的信息都会告知的。到时候用的是单尾还是双尾题干会说的,不用担心~

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