标准差与标准误

Standard deviation and standard error of arithmetic mean

对容易引起混淆的统计量“标准差”和“标准误”从意义、特征、计算公式、符号表示等方面作了准确描述与区分 ,并对统计学结果表示中“平均数±标准差”“平均数±标准误”的符号表示进行了统计分析 ,指出了存在问题。通过原因分析 ,提出了避免二者混淆和不规范的符号表示的一些应对措施。

The 'standard deviation' and 'standard error of arithmetic mean' that being easy to cause confusion are accurately described and distinguished from the meaning, characteristic, formula of calculation and symbolization etc. The symbolization of 'mean±standard deviation' and 'mean±standard error of mean' in the expression of statistics result are analyzed. Then, some countermeasures to prevent the two cases from being obscure and being expressed with abnormal symbols are put forward.