摘要
文章基于经典理论的总体标准差一定置信水平的置信区间及其长度,首次提出一种解三元方程组获得所需样本量的准确算法,使得样本量满足置信水平置信区间及其长度要求。文中建立的3个方程不存在近似,利用MathCAD数学工具软件解方程组得到样本量及X^(2)_(0.5a)(n-1),X^(2)_(1-0.5a)(n-1)的值,计算置信区间,满足在一定置信水平的置信区间及其长度要求,验证了解算样本量的正确性,并与文献[1]的近似计算及结果进行了比对,近似计算与准确计算的样本量都用于计算经典理论的总体标准差一定置信水平的置信区间,显示了文中方法的准确性。
Based on the classical theory of the confidence interval and its length for a certain level of confidence in the overall standard deviation,this article proposes for the first time an accurate algorithm for obtaining the required sample size by solving a system of ternary equations,so that the sample size meets the requirements of the confidence interval and its length.The three equations established in the article do not have approximations.Sample-size and the values of X^(2)_(0.5a)(n-1),X^(2)_(1-0.5a)(n-1) and are gained by MathCAD mathematical tool software.The confidence interval is calculated to meet the requirements of the confidence interval and its length at a certain confidence level.The calculated sample size is verified to be correct,and compared with the approximate calculation and results in a certain book[1].Both the approximate and accurate sample size are used to calculate the confidence interval of the overall standard deviation of the classical theory at a certain confidence level,demonstrating the accuracy of the method proposed in this paper.
作者
王存良
朱喜明
WANG Cun-liang;ZHU Xi-ming(The 27th Research Institute of China Electronics Technology Group Corporation,Zhengzhou 450047,China)
出处
《电光系统》
2025年第2期29-33,共5页
Electronic and Electro-optical Systems
关键词
总体标准差
置信水平
置信区间
样本容量
选代初值
Overall Standard Deviation
Confidence Level
Confidence Interval
Sample Size
Iterative Initial Value
