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嗨森 · 2020年09月25日

问一道题:NO.PZ2018062001000015 [ CFA I ]

问题如下:

Ann, a junior analyst, wants to decrease the probability of errors during a hypothesis testing. She improved the testing by increasing the sample size. Which of the following is correct?

选项:

A.

Only the probability of Type I error will decrease.

B.

Only the probability of Type II error will decrease .

C.

The probability of both Type I error and Type II error will decrease.

解释:

C is correct.

All else equal, Ann can decrease the probability of both Type I error and Type II error through increasing sample size. As large sample size means the precision of the population parameter estimation is improved.

type I error和type II error的概率不是此消彼长么?
1 个答案
已采纳答案

星星_品职助教 · 2020年09月25日

同学你好,

注意上课时强调过:

1. type I error和type II error没有相加等于1的关系

2. n不变时,type I error和type II error有此消彼长的关系

3. 如果想同时降低type I error和type II error,可以增加sample size n。

所以此消彼长是n不变时的情况,而这道题考察的是以上的第三点。