已知标准差情形离群值的判断规则

情境一：分析测试的质量保证任务三：离群值的检验与数据样本之间显著性检验知识点2：已知标准差情形离群值的判断规则课程：分析检验的质量保证与计量认证一、一般原则二、离群值的判断规则1.上侧情形否则判断未发现x(n)是统计离群值即x(n)为歧离值判定x(n)为离群值否则判断未发现x(n)是离群值判定x(n)为统计离群值Rn>R1-α(n)

剔除水平α*,𝑛。表A.1临界值R1-α*(n)

二、离群值的判断规则2.下侧情形否则判断未发现x(1)是统计离群值即x(1)为歧离值判定x(n)为离群值否则判断未发现x(n)是离群值判定x(1)为统计离群值

剔除水平α*,𝑛。表A.1临界值R1-α*(n)

二、离群值的判断规则3.双侧情形判定x(n)为统计离群值判定x(n)为离群值判断x(1)为离群值

判定x(1)为统计离群值前三者均不符，判断未发现离群值同时对最大值和最小值进行检验

剔除水平α*,𝑛。表A.1临界值R1-α*/2(n)

否则判断未发现x(1)、x(n)是统计离群值即x(1)、x(n)为歧离值

4.例题

考查某分析数据，得25个样品，其数值排列为（单位%）：3.13,3.49,4.01,4.48,4.61，4.76,4.98,5.25,5.32,5.39,5.42,5.57,5.59,5.59,5.63,5.63,5.65,5.66,5.67,5.69,5.71,6.00，6.03,6.12,6.76。已知在正常条件下，测试量服从正态分布，已知σ=0.65，现考查下侧的异常值。规定至多检出三个离群值，采用下侧情形的处理方式。三、奈尔(Nair)检验法例题三、奈尔(Nair)检验法例题n90%95%97.50%99%99.50%n90%95%97.50%99%99.50%31.4971.7381.9552.2152.396142.3522.5892.8063.0723.26141.6961.4912.1632.4312.618152.3822.6172.7423.0993.28751.8352.082.3042.5742.764162.4092.6442.863.1243.31261.9392.1482.4082.6792.87202.52.7322.9453.2073.39272.0222.2672.492.7612.952232.5552.7842.9963.2563.4482.0912.3342.5572.8283.019242.5712.83.0113.273.45592.152.3922.6132.8843.074252.5872.8153.0263.2843.468102.22.4412.6622.9313.122302.6562.8813.0893.3453.527112.2452.4842.7042.9733.163402.7592.983.1843.4363.616122.2842.5232.7423.013.199502.8363.0533.2553.5043.681132.322.5572.7763.0433.2321003.0613.2683.463.6993.871GB/T4883-2008A1奈尔检验的临界值表(部分)三、奈尔(Nair)检验法例题三、奈尔(Nair)检验法例题三、奈尔(Nair)检验法例题三、奈尔(Nair)检验法例题三、奈尔(Nair)检验法例题4.例题

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