不确定度计算公式

1、不确定度评定实验标准差计算测量次数n测量值Xi（mV）残差Xi-Xi残差平方(Xi-Xi)2129.9950-0.000441.936000E-07229.99580.000361.296000E-07329.9954-0.000041.600000E-09429.99550.000063.600000E-09529.9954-0.000041.600000E-09629.9953-0.000141.960000E-08729.99560.000162.560000E-08829.99560.000162.560000E-08929.99560.000162.560000E-081029.99

2、52-0.000245.760000E-08求和299.95440.000004.840000E-07平均值29.99544单次实验标准差S(X)0.0002319算术平均值的实验标准差S(X)0.00007333A类标准不确定度u(X)0.00007333量程SN（mV）100包含因子k1.732050808最大允许误差的区间半宽a10.000649977B类标准不确定度u(X0)0.000375265相对不确定度u(X0)/u(X0)0.10自由度19自由度250灵敏度c(X)1灵敏度c(X0)-1合成标准不确定度uc0.000382363有效自由度eff53.45861214置信概率p0

3、.95t分布值tp()2.01扩展不确定度U950.000768549相对误差的不确定度00.000007685不确定度评定测量次数n测量值Xi（mA）残差Xi-Xi残差平方(Xi-Xi)215.91-0.000401.600000E-0725.9110.000603.600000E-0735.91-0.000401.600000E-0745.9110.000603.600000E-0755.91-0.000401.600000E-0765.91-0.000401.600000E-0775.9110.000603.600000E-0785.91-0.000401.600000E-0795.91

4、10.000603.600000E-07105.91-0.000401.600000E-07求和59.1040.000002.400000E-06平均值5.9104单次实验标准差S(X)0.000516398算术平均值的实验标准差S(X)0.00016330A类类标标准准不不确确定定度度U(a)0.00016330量程SN（mm）10包含因子k2最大允许误差的区间半宽a10.0100000000B类类标标准准不不确确定定度度U(b)0.0050000000相对不确定度u(X0)/u(X0)0.10自由度19自由度250灵敏度c(X)1灵敏度c(X0)1合合成成标标准准不不确确定定度度U U（C

5、 C）0.0050026660有效自由度eff50.10640683置信概率p0.95t分布值tp()2.01扩展不确定度U0.010055359相对误差的不确定度00.001005536JJF1059-1999附录At分布在不同置信概率p与自由度的tp()值(t值)自由度p10068.2790959595.459999.7311.846.3112.7112.7113.9763.66235.8021.322.924.304.304.539.9219.2131.202.353.183.315.849.2241.142.132.782.874.606.6251.112.022.572.654.03

6、5.5161.091.942.452.523.714.9071.081.892.362.433.504.5381.071.862.312.373.364.2891.061.832.262.323.254.09101.051.812.232.283.173.96111.051.802.202.253.113.85121.041.782.182.233.053.76131.041.772.162.213.013.69141.041.762.142.202.983.64151.031.752.132.182.953.59161.031.752.122.172.923.54171.031.742.112.162.903.51181.031.732.102.152.883.48191.031.732.092.142.863.45201.031.722.092.132.853.42251.021.712.062.112.793.33301.021.702.042.092.753.27351.011.702.032.072.723.23401.011.682.022.062.703.20451.011.682.012.062.693.18501.011.682.012.052.683.161001.0051.6601.