总体比例的区间估计和样本量的确定

Interval Estimation of Population Proportion and Determination of Sample Size

通过平移计分置信区间中心点,修正和改善其覆盖概率的统计性能,获取抽样总体比例估计的置信区间。对于放回抽样以及总体容量N较大的不放回抽样,平移系数建议都取0.02 z4;对于较小N∈[50,1000]的不放回抽样,平移系数建议取0.024 z4。基于置信区间,给出了相应的明显优于传统的样本量公式。

This paper unifies the score confidence intervals formulas of population proportions under sampling with replacement and without replacement,and by moving centers of score confidence intervals,statistical performances of its coverage probabilities are modified and improved,then well confidence intervals of population proportion could be obtained.If the sampling is replacement or no replacement with larger population size N,moving coefficient 0.02 z4 for score confidence interval.If the sampling is no replacement with smaller population size N∈[50,1000],moving coefficient 0.024 z4 is suggested.Based on confidence intervals,we give the corresponding formula of sample size which is superior to the traditional.