粗大误差判别

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1、粗大误差判别：假设以下数据不含有系统误差，试用、肖维勒、检验、格拉布斯、狄克松准则来判别该数据中是否含有粗大误差。序号12345数值1866987755序号678910数值935446239序号1112131415数值6756759126解：序号118-39.531562.62-43.51892.252668.4771.744.520.2539840.471637.8236.51332.2547719.47379.0815.5240.25555-2.536.40-6.542.2569335.471258.1231

2、.5992.25754-3.5312.46-7.556.25846-11.53132.94-15.5240.2592-55.533083.58-59.5-1039-18.53343.36-22.5506.2511679.4789.685.530.251256-1.532.34-5.530.25137517.47305.2013.5182.25149133.471120.2429.5870.251526-31.47990.36-35.51260.25计算结果57.5361.510995.947695.5（1）根据准

3、则，该数据不含粗大误差。（2），根据肖维勒准则，该数据不含粗大误差。（3）根据检验，认为可疑，剔除，计算得，=根据检验准则，该数据不含粗大误差。（4）将按从小到大的顺序排列为：根据格拉布斯准则，该数据不含粗大误差。（5）将按从小到大的顺序排列为：，，根据狄克松准则，该数据不含粗大误差。试验设计与数据处理用表肖维勒准则常用的值5678910111.651.731.791.801.921.962.00121314151617182.042.072.12.132.162.182.20192021222324252.22

4、2.242.262.282.32.312.33262728293035402.342.352.372.382.392.452.5050607080901001502.582.642.692.732.782.812.921852002505001000200050003.003.023.113.293.483.663.89检验系数表显著性水平显著性水平44.9711.46182.183.0153.566.53192.173.0063.045.04202.162.9572.784.36212.152.9382.623

5、.96222.142.9192.513.71232.132.90102.433.54242.122.88112.373.41252.112.86122.333.31262.102.85132.293.23272.102.84142.263.17282.092.83152.243.12292.092.82162.223.08302.082.81172.203.04格拉布斯检验系数表0.050.010.050.0131.151.16172.482.7841.461.49182.502.8251.671.75192.5

6、32.8561.821.94202.562.8871.942.10212.582.9182.032.22222.602.9492.112.32232.622.96102.182.41242.642.99112.232.48252.663.01122.282.55302.743.10132.332.61352.813.18142.372.66402.873.24152.412.70502.963.34162.442.751003.173.59Dixon检验系数及的计算公式的计算公式显著性水平可疑可疑0.010.05

7、30.9880.94140.8890.76550.7800.64260.6980.56070.6370.50780.6830.55490.6350.512100.5970.477110.6790.576120.6420.546130.6150.521140.6410.546150.6160.525160.5950.507170.5770.490180.5610.475190.5470.462200.5350.450210.5240.440220.5140.430230.5050.421240.4970.41325

8、0.4890.406