计算标准偏差

标准偏差(Standard Deviation,SD)是样本平均数方差的开平方,它反映组内个体间的离散程度。其计算公式为

SD = \sqrt{\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}}{n – 1}}

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柱形工件缺陷检测,柱状图误差棒是怎么算出来的

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二、基于标准误差计算误差棒

计算标准误差

标准误差(Standard Error,SE)表示的是抽样的误差。其计算公式为

SE=\frac{SD}{\sqrt{n}}

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三、基于置信区间计算误差棒

确定置信水平和相应系数

常见的置信水平有95%,对应的常数系数在大样本情况下约为1.96(不同的样本量和分布情况可能会有不同的系数值)。

计算置信区间

若基于标准偏差计算,置信区间的计算公式为

\bar{x}\pm z\times\frac{SD}{\sqrt{n}}

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