8.3 Margin of Error

Margin of Error|sample size and E

 

Margin of Error|sample size and E

由该公式可知: 

To improve the precision of the estimate, we need to decrease the margin of error, E. Because the sample size, n, occurs in the denominator of the formula for E, we can decrease E by increasing the sample size.

可以通过减小Z或增大n的方式,减小E,以此增加 precision of the estimate

所以,在已知E和置信度的前提下,为了获得最好的precision of the estimate,可以采用公式倒推:

Margin of Error|sample size and E

根据E与置信区间的关系,可以写出置信区间:

Margin of Error|sample size and E

The simpler method might have yielded a somewhat wider confidence interval because the sample size is rounded up. Hence, this simpler method gives, at worst, a slightly conservative estimate, so is acceptable in practice.

 对于population标准差不可知的情况:

deviation, s, in place of σ in Formula 8.1

 

所以,最理想的状态是:

Ideally, we want both a high confidence level and a small margin of error. Accomplishing these specifications generally takes a large sample size.

相关文章:

  • 2022-12-23
  • 2021-06-25
  • 2021-12-10
  • 2021-09-07
  • 2021-10-06
  • 2022-12-23
  • 2022-12-23
猜你喜欢
  • 2022-12-23
  • 2022-12-23
  • 2021-04-13
  • 2021-06-19
  • 2021-07-03
  • 2021-07-15
  • 2021-10-13
相关资源
相似解决方案