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勇往直前 · 2022年04月05日

是不是混淆了degree of freedom ?

NO.PZ2017092702000111

问题如下:

For a two-sided confidence interval, an increase in the degree of confidence will result in:

选项:

A.

a wider confidence interval.

B.

a narrower confidence interval.

C.

no change in the width of the confidence interval.

解释:

A is correct.

As the degree of confidence increases (e.g., from 95% to 99%), a given confidence interval will become wider. A confidence interval is a range for which one can assert with a given probability 1 – α, called the degree of confidence, that it will contain the parameter it is intended to estimate.

随着置信度的增加(例如,从 95% 到 99%),给定的置信区间将变得更宽。 置信区间是一个范围,人们可以以给定的概率 1 – α(称为置信度)并代表它会包含我们要估计的参数。

是不是混淆了degree of freedom ,if increase of degree of freedom, confidence internal will become narrower? T distribution will become Z Distribution?

1 个答案

星星_品职助教 · 2022年04月06日

同学你好,

degree of freedom是自由度的意思,题目中的degree of confidence是置信度的意思,这两者是不同的概念。

degree of confidence是平常说的95%或者99%,置信度越大,critical value越大,置信区间越宽。

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