Scholarlink

A common problem in statistics, and especially in sample surveys, is how to estimate the proportion p (= 1 − q) of people with a given characteristic (e.g., being left-handed) in a population of known size N. If there are M left-handed people in the population, then p = M∕ N. The usual method of estimating p is to take a simple random sample, that is a random sample without replacement (SRS) of size n and count the number of left-handed people, x, in the sample. If the sample is representative, then p can be estimated by the sample proportion \(\widehat {p}=x/n\) , and has mean p.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Proportions, Inferences, and Comparisons

  • 工具书词条

  • 发表日期：

    2025年

查看全文
  • George A. F. Seber

摘要

A common problem in statistics, and especially in sample surveys, is how to estimate the proportion p (= 1 − q) of people with a given characteristic (e.g., being left-handed) in a population of known size N. If there are M left-handed people in the population, then p = M∕ N. The usual method of estimating p is to take a simple random sample, that is a random sample without replacement (SRS) of size n and count the number of left-handed people, x, in the sample. If the sample is representative, then p can be estimated by the sample proportion \(\widehat {p}=x/n\) , and has mean p.