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Analytical Chemistry. 第二章. 误差与分析数据处理. ( 1 ) ( 2 ). 第二章 误差与分析数据的处理. §2.1 有关误差的一些基本概念 2.1.1 准确度与精密度 2.1.2 误差与偏差 2.1.3 系统误差与随机误差 2.1.4 系统误差与准确度 §2.2 随机误差的分布 2.2.1 频率分布 2.2.2 正态分布 2.2.3 随机误差的区间概率. §2.3 有限数据的统计处理 2.3.1 集中趋势和分散趋势的表示 2.3.2 平均值的置信区间 2.3.3 显著性检验 - PowerPoint PPT Presentation

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  • Analytical Chemistry1 2

  • 2.1 2.1.1 2.1.2 2.1.3 2.1.4 2.2 2.2.1 2.2.2 2.2.3

  • 2.3 2.3.1 2.3.2 2.3.3 2.3.4 2.3.5 2.3.6 2.4 2.4.1 2.4.2 2.4.3

  • 2.5 2.6 2.6.1 2.6.2

  • 2.1.1 Accuracy precision

  • 2.1.1 ABCD WFe=37.40%)36.00 36.50 37.00 37.50 38.00

  • 12

  • 2.1.2 Error) : BT n x1x2x3 xnn

  • 2.1.2 T (True value)123

  • 2.1.2 deviation): di R S CV

  • 2.1.3 Systematic error) Random error) Gross error, mistake)

  • Bias and accuracy systematic error bias = + Error = random error + bias

  • Bias and accuracy = =

  • = + j i xij12 j

  • 2.2.1

  • 4

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0

    Sheet1

    Noni)ni/n)ni/ns)

    115.8310.0050.16

    14.0216.0215.8515.88215.8710.0050.16

    14.0516.0515.8515.91315.9030.0140.48

    14.0516.0515.8715.94415.9380.0381.28

    14.0516.0515.8715.97515.96180.0862.87

    14.0516.0515.8716615.99390.1876.22

    14.0516.0515.8716.03716.02610.2929.73

    13.8815.8815.8716.07816.06400.1916.38

    13.8715.8715.8716.1916.09200.0963.19

    14.0116.0115.8816.131016.12110.0531.75

    13.9915.9915.881116.1550.0240.80

    14.1116.1115.8816.011216.1810.0050.16

    14.1116.1115.91316.2110.0050.16

    14.0616.0615.920933.33

    14.0816.0815.9

    13.9815.9815.91

    13.9815.9815.91

    14.0616.0615.91

    14.0616.0615.91

    14.0516.0515.91

    13.9915.9915.91

    13.9915.9915.94

    14.0416.0415.94

    14.0316.0315.94

    14.0316.0315.95

    14.0116.0115.95

    141615.95

    13.9815.9815.96

    13.9815.9815.96

    13.9915.9915.96

    13.9715.9715.96

    13.9715.9715.96

    14.0116.0115.96

    14.0116.0115.97

    14.0116.0115.97

    14.0816.0815.97

    14.0816.0815.97

    14.0716.0715.97

    14.0616.0615.97

    14.0516.0515.97

    14.0414.03015.97

    14.0316.0315.97

    14.0816.0815.98

    14.0716.0715.98

    14.0416.0415.98

    14.0316.0315.98

    13.9115.9115.98

    13.915.915.98

    13.9915.9915.98

    13.9615.9615.98

    14.0316.0315.98

    14.0216.0215.98

    13.9415.9415.98

    13.9115.9115.98

    14.0716.0715.99

    14.0816.0815.99

    14.0116.0115.99

    14.0116.0115.99

    13.9915.9915.99

    13.9715.9715.99

    14.0116.0115.99

    14.0116.0115.99

    13.9615.9615.99

    13.9515.9515.99

    13.8715.8715.99

    13.8515.8515.99

    14.0116.0115.99

    14.0116.0115.99

    14.0616.0615.99

    14.0516.0515.99

    14.0416.0415.99

    14.0416.0415.99

    14.0216.0216

    14.0216.0216

    14.0516.0516

    14.0516.0516

    14.0516.0516.01

    14.0516.0516.01

    14.0516.0516.01

    13.8815.8816.01

    13.8715.8716.01

    14.0116.0116.01

    13.9915.9916.01

    14.1116.1116.01

    14.1116.1116.01

    14.0616.0616.01

    14.0816.0816.01

    13.9815.9816.01

    13.9815.9816.01

    14.0616.0616.01

    14.0616.0616.01

    14.0516.0516.01

    13.9915.9916.01

    13.9915.9916.01

    14.0416.0416.01

    14.0316.0316.01

    14.0316.0316.01

    14.0116.0116.01

    141616.01

    13.9815.9816.01

    13.9815.9816.01

    13.9915.9916.01

    13.9715.9716.01

    13.9715.9716.01

    14.0116.0116.01

    14.0116.0116.01

    14.0116.0116.01

    14.0816.0816.01

    14.0816.0816.01

    14.0716.0716.02

    14.0616.0616.02

    14.0516.0516.02

    141616.02

    14.0416.0416.02

    14.0316.0316.02

    14.0816.0816.02

    14.0716.0716.02

    14.0416.0416.02

    14.0316.0316.03

    13.9115.9116.03

    13.915.916.03

    13.9915.9916.03

    13.9615.9616.03

    14.0316.0316.03

    14.0216.0216.03

    13.9415.9416.03

    13.9115.9116.03

    14.0716.0716.03

    14.0816.0816.03

    14.0116.0116.03

    14.0116.0116.03

    13.9915.9916.03

    13.9715.9716.03

    14.0116.0116.04

    14.0116.0116.04

    13.9615.9616.04

    13.9515.9516.04

    13.8715.8716.04

    13.8515.8516.04

    14.0116.0116.04

    14.0116.0116.04

    14.0616.0616.04

    14.0516.0516.04

    14.0416.0416.04

    14.0416.0416.04

    14.0216.0216.04

    14.0216.0216.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    13.8815.8816.05

    13.8715.8716.05

    14.0116.0116.05

    13.9915.9916.05

    14.1116.1116.05

    14.1116.1116.05

    14.0616.0616.05

    14.0816.0816.05

    13.9815.9816.05

    13.9815.9816.05

    14.0616.0616.05

    14.0616.0616.05

    14.0516.0516.05

    13.9915.9916.05

    13.9915.9916.05

    14.0416.0416.05

    14.0316.0316.05

    14.0316.0316.05

    14.0116.0116.06

    141616.06

    13.9815.9816.06

    13.9815.9816.06

    13.9915.9916.06

    13.9715.9716.06

    13.9715.9716.06

    14.0116.0116.06

    14.0116.0116.06

    14.0116.0116.06

    14.0816.0816.06

    14.0816.0816.06

    14.0716.0716.06

    14.0616.0616.06

    14.0516.0516.06

    14.0414.03016.07

    14.0316.0316.07

    14.0816.0816.07

    14.0716.0716.07

    14.0416.0416.07

    14.0316.0316.07

    13.9115.9116.07

    13.915.916.07

    13.9915.9916.07

    13.9615.9616.08

    14.0316.0316.08

    14.0216.0216.08

    13.9415.9416.08

    13.9115.9116.08

    14.0716.0716.08

    14.0816.0816.08

    14.0116.0116.08

    14.0116.0116.08

    13.9915.9916.08

    13.9715.9716.08

    14.0116.0116.08

    14.0116.0116.08

    13.9615.9616.08

    13.9515.9516.08

    13.8715.8716.11

    13.8515.8516.11

    14.0116.0116.11

    14.0116.0116.11

    14.0616.0616.11

    14.0516.0516.11

    Sheet2

    Noni)ni/n)ni/ns)ni/ns)

    115.8310.0050.1715.830.17

    215.8710.0050.1715.870.17

    315.9030.0150.5115.900.51

    415.9380.0401.3515.931.35

    515.96180.0913.0315.963.03

    615.99340.1725.7215.995.72

    716.02550.2789.2616.029.26

    816.06400.2026.7316.066.73

    916.09200.1013.3716.093.37

    1016.12110.0561.8516.121.85

    1116.1550.0250.8416.150.84

    1216.1820.0100.3416.180.34

    1316.2100.0000.0016.210.00

    198

    Sheet2

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Sheet3

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    5

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0

    Sheet1

    No

    115.8310.0050.16

    14.0216.0215.8515.88215.8710.0050.16

    14.0516.0515.8515.91315.9030.0140.48

    14.0516.0515.8715.94415.9380.0381.28

    14.0516.0515.8715.97515.96180.0862.87

    14.0516.0515.8716615.99390.1876.22

    14.0516.0515.8716.03716.02610.2929.73

    13.8815.8815.8716.07816.06400.1916.38

    13.8715.8715.8716.1916.09200.0963.19

    14.0116.0115.8816.131016.12110.0531.75

    13.9915.9915.881116.1550.0240.80

    14.1116.1115.8816.011216.1810.0050.16

    14.1116.1115.91316.2110.0050.16

    14.0616.0615.920933.33

    14.0816.0815.9

    13.9815.9815.91

    13.9815.9815.91

    14.0616.0615.91

    14.0616.0615.91

    14.0516.0515.91

    13.9915.9915.91

    13.9915.9915.94

    14.0416.0415.94

    14.0316.0315.94

    14.0316.0315.95

    14.0116.0115.95

    141615.95

    13.9815.9815.96

    13.9815.9815.96

    13.9915.9915.96

    13.9715.9715.96

    13.9715.9715.96

    14.0116.0115.96

    14.0116.0115.97

    14.0116.0115.97

    14.0816.0815.97

    14.0816.0815.97

    14.0716.0715.97

    14.0616.0615.97

    14.0516.0515.97

    14.0414.03015.97

    14.0316.0315.97

    14.0816.0815.98

    14.0716.0715.98

    14.0416.0415.98

    14.0316.0315.98

    13.9115.9115.98

    13.915.915.98

    13.9915.9915.98

    13.9615.9615.98

    14.0316.0315.98

    14.0216.0215.98

    13.9415.9415.98

    13.9115.9115.98

    14.0716.0715.99

    14.0816.0815.99

    14.0116.0115.99

    14.0116.0115.99

    13.9915.9915.99

    13.9715.9715.99

    14.0116.0115.99

    14.0116.0115.99

    13.9615.9615.99

    13.9515.9515.99

    13.8715.8715.99

    13.8515.8515.99

    14.0116.0115.99

    14.0116.0115.99

    14.0616.0615.99

    14.0516.0515.99

    14.0416.0415.99

    14.0416.0415.99

    14.0216.0216

    14.0216.0216

    14.0516.0516

    14.0516.0516

    14.0516.0516.01

    14.0516.0516.01

    14.0516.0516.01

    13.8815.8816.01

    13.8715.8716.01

    14.0116.0116.01

    13.9915.9916.01

    14.1116.1116.01

    14.1116.1116.01

    14.0616.0616.01

    14.0816.0816.01

    13.9815.9816.01

    13.9815.9816.01

    14.0616.0616.01

    14.0616.0616.01

    14.0516.0516.01

    13.9915.9916.01

    13.9915.9916.01

    14.0416.0416.01

    14.0316.0316.01

    14.0316.0316.01

    14.0116.0116.01

    141616.01

    13.9815.9816.01

    13.9815.9816.01

    13.9915.9916.01

    13.9715.9716.01

    13.9715.9716.01

    14.0116.0116.01

    14.0116.0116.01

    14.0116.0116.01

    14.0816.0816.01

    14.0816.0816.01

    14.0716.0716.02

    14.0616.0616.02

    14.0516.0516.02

    141616.02

    14.0416.0416.02

    14.0316.0316.02

    14.0816.0816.02

    14.0716.0716.02

    14.0416.0416.02

    14.0316.0316.03

    13.9115.9116.03

    13.915.916.03

    13.9915.9916.03

    13.9615.9616.03

    14.0316.0316.03

    14.0216.0216.03

    13.9415.9416.03

    13.9115.9116.03

    14.0716.0716.03

    14.0816.0816.03

    14.0116.0116.03

    14.0116.0116.03

    13.9915.9916.03

    13.9715.9716.03

    14.0116.0116.04

    14.0116.0116.04

    13.9615.9616.04

    13.9515.9516.04

    13.8715.8716.04

    13.8515.8516.04

    14.0116.0116.04

    14.0116.0116.04

    14.0616.0616.04

    14.0516.0516.04

    14.0416.0416.04

    14.0416.0416.04

    14.0216.0216.04

    14.0216.0216.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    13.8815.8816.05

    13.8715.8716.05

    14.0116.0116.05

    13.9915.9916.05

    14.1116.1116.05

    14.1116.1116.05

    14.0616.0616.05

    14.0816.0816.05

    13.9815.9816.05

    13.9815.9816.05

    14.0616.0616.05

    14.0616.0616.05

    14.0516.0516.05

    13.9915.9916.05

    13.9915.9916.05

    14.0416.0416.05

    14.0316.0316.05

    14.0316.0316.05

    14.0116.0116.06

    141616.06

    13.9815.9816.06

    13.9815.9816.06

    13.9915.9916.06

    13.9715.9716.06

    13.9715.9716.06

    14.0116.0116.06

    14.0116.0116.06

    14.0116.0116.06

    14.0816.0816.06

    14.0816.0816.06

    14.0716.0716.06

    14.0616.0616.06

    14.0516.0516.06

    14.0414.03016.07

    14.0316.0316.07

    14.0816.0816.07

    14.0716.0716.07

    14.0416.0416.07

    14.0316.0316.07

    13.9115.9116.07

    13.915.916.07

    13.9915.9916.07

    13.9615.9616.08

    14.0316.0316.08

    14.0216.0216.08

    13.9415.9416.08

    13.9115.9116.08

    14.0716.0716.08

    14.0816.0816.08

    14.0116.0116.08

    14.0116.0116.08

    13.9915.9916.08

    13.9715.9716.08

    14.0116.0116.08

    14.0116.0116.08

    13.9615.9616.08

    13.9515.9516.08

    13.8715.8716.11

    13.8515.8516.11

    14.0116.0116.11

    14.0116.0116.11

    14.0616.0616.11

    14.0516.0516.11

    Sheet2

    Noni)ni/n)ni/ns)ni/ns)

    115.8310.0050.1715.830.17

    215.8710.0050.1715.870.17

    315.9030.0150.5115.900.51

    415.9380.0401.3515.931.35

    515.96180.0913.0315.963.03

    615.99340.1725.7215.995.72

    716.02550.2789.2616.029.26

    816.06400.2026.7316.066.73

    916.09200.1013.3716.093.37

    1016.12110.0561.8516.121.85

    1116.1550.0250.8416.150.84

    1216.1820.0100.3416.180.34

    1316.2100.0000.0016.210.00

    198

    Sheet2

    Sheet3

  • N (, 2) y x x- 0 x-

  • 12

    2

    0.10051243050.00005355390.0055458108

    0.18519654510.00014830190.0122466999

    0.32612624970.00039250170.0258471625

    0.54888125830.00099283320.0521370482

    0.88289857830.00240021860.1005124305

    1.35732235820.00554581080.1851965451

    1.99432052290.01224669990.3261262497

    2.80057162230.02584716250.5488812583

    3.75870445940.05213704820.8828985783

    4.82135871260.10051243051.3573223582

    5.91072126750.18519654511.9943205229

    6.92550241340.32612624972.8005716223

    7.75535817380.54888125833.7587044594

    8.30026972040.88289857834.8213587126

    8.4902860051.35732235825.9107212675

    8.30026972041.99432052296.9255024134

    7.75535817382.80057162237.7553581738

    6.92550241343.75870445948.3002697204

    5.91072126754.82135871268.490286005

    4.82135871265.91072126758.3002697204

    3.75870445946.92550241347.7553581738

    2.80057162237.75535817386.9255024134

    1.99432052298.30026972045.9107212675

    1.35732235828.4902860054.8213587126

    0.88289857838.30026972043.7587044594

    0.54888125837.75535817382.8005716223

    0.32612624976.92550241341.9943205229

    0.18519654515.91072126751.3573223582

    0.10051243054.82135871260.8828985783

    0.05213704823.75870445940.5488812583

    0.02584716252.80057162230.3261262497

    0.01224669991.99432052290.1851965451

    0.00554581081.35732235820.1005124305

    0.00240021860.88289857830.0521370482

    0.00099283320.54888125830.0258471625

    0.00039250170.32612624970.0122466999

    0.00014830190.18519654510.0055458108

    0.00005355390.10051243050.0024002186

    0.00001848320.05213704820.0009928332

    A1exp(B/C)

    A1exp(B/C)

    A1exp(B/C)

    x

    y

    Sheet1

    Noni)ni/n)ni/ns)

    115.8310.0050.16

    14.0216.0215.8515.88215.8710.0050.16

    14.0516.0515.8515.91315.9030.0140.48

    14.0516.0515.8715.94415.9380.0381.28

    14.0516.0515.8715.97515.96180.0862.87

    14.0516.0515.8716615.99390.1876.22

    14.0516.0515.8716.03716.02610.2929.73

    13.8815.8815.8716.07816.06400.1916.38

    13.8715.8715.8716.1916.09200.0963.19

    14.0116.0115.8816.131016.12110.0531.75

    13.9915.9915.881116.1550.0240.80

    14.1116.1115.8816.011216.1810.0050.16

    14.1116.1115.91316.2110.0050.16

    14.0616.0615.90.055061106820933.33

    14.0816.0815.9

    13.9815.9815.91

    13.9815.9815.91

    14.0616.0615.91

    14.0616.0615.91

    14.0516.0515.91

    13.9915.9915.91

    13.9915.9915.94

    14.0416.0415.94

    14.0316.0315.94

    14.0316.0315.95

    14.0116.0115.95

    141615.95

    13.9815.9815.96

    13.9815.9815.96

    13.9915.9915.96

    13.9715.9715.96

    13.9715.9715.96

    14.0116.0115.96

    14.0116.0115.97

    14.0116.0115.97

    14.0816.0815.97

    14.0816.0815.97

    14.0716.0715.97

    14.0616.0615.97

    14.0516.0515.97

    14.0414.03015.97

    14.0316.0315.97

    14.0816.0815.98

    14.0716.0715.98

    14.0416.0415.98

    14.0316.0315.98

    13.9115.9115.98

    13.915.915.98

    13.9915.9915.98

    13.9615.9615.98

    14.0316.0315.98

    14.0216.0215.98

    13.9415.9415.98

    13.9115.9115.98

    14.0716.0715.99

    14.0816.0815.99

    14.0116.0115.99

    14.0116.0115.99

    13.9915.9915.99

    13.9715.9715.99

    14.0116.0115.99

    14.0116.0115.99

    13.9615.9615.99

    13.9515.9515.99

    13.8715.8715.99

    13.8515.8515.99

    14.0116.0115.99

    14.0116.0115.99

    14.0616.0615.99

    14.0516.0515.99

    14.0416.0415.99

    14.0416.0415.99

    14.0216.0216

    14.0216.0216

    14.0516.0516

    14.0516.0516

    14.0516.0516.01

    14.0516.0516.01

    14.0516.0516.01

    13.8815.8816.01

    13.8715.8716.01

    14.0116.0116.01

    13.9915.9916.01

    14.1116.1116.01

    14.1116.1116.01

    14.0616.0616.01

    14.0816.0816.01

    13.9815.9816.01

    13.9815.9816.01

    14.0616.0616.01

    14.0616.0616.01

    14.0516.0516.01

    13.9915.9916.01

    13.9915.9916.01

    14.0416.0416.01

    14.0316.0316.01

    14.0316.0316.01

    14.0116.0116.01

    141616.01

    13.9815.9816.01

    13.9815.9816.01

    13.9915.9916.01

    13.9715.9716.01

    13.9715.9716.01

    14.0116.0116.01

    14.0116.0116.01

    14.0116.0116.01

    14.0816.0816.01

    14.0816.0816.01

    14.0716.0716.02

    14.0616.0616.02

    14.0516.0516.02

    141616.02

    14.0416.0416.02

    14.0316.0316.02

    14.0816.0816.02

    14.0716.0716.02

    14.0416.0416.02

    14.0316.0316.03

    13.9115.9116.03

    13.915.916.03

    13.9915.9916.03

    13.9615.9616.03

    14.0316.0316.03

    14.0216.0216.03

    13.9415.9416.03

    13.9115.9116.03

    14.0716.0716.03

    14.0816.0816.03

    14.0116.0116.03

    14.0116.0116.03

    13.9915.9916.03

    13.9715.9716.03

    14.0116.0116.04

    14.0116.0116.04

    13.9615.9616.04

    13.9515.9516.04

    13.8715.8716.04

    13.8515.8516.04

    14.0116.0116.04

    14.0116.0116.04

    14.0616.0616.04

    14.0516.0516.04

    14.0416.0416.04

    14.0416.0416.04

    14.0216.0216.04

    14.0216.0216.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    13.8815.8816.05

    13.8715.8716.05

    14.0116.0116.05

    13.9915.9916.05

    14.1116.1116.05

    14.1116.1116.05

    14.0616.0616.05

    14.0816.0816.05

    13.9815.9816.05

    13.9815.9816.05

    14.0616.0616.05

    14.0616.0616.05

    14.0516.0516.05

    13.9915.9916.05

    13.9915.9916.05

    14.0416.0416.05

    14.0316.0316.05

    14.0316.0316.05

    14.0116.0116.06

    141616.06

    13.9815.9816.06

    13.9815.9816.06

    13.9915.9916.06

    13.9715.9716.06

    13.9715.9716.06

    14.0116.0116.06

    14.0116.0116.06

    14.0116.0116.06

    14.0816.0816.06

    14.0816.0816.06

    14.0716.0716.06

    14.0616.0616.06

    14.0516.0516.06

    14.0414.03016.07

    14.0316.0316.07

    14.0816.0816.07

    14.0716.0716.07

    14.0416.0416.07

    14.0316.0316.07

    13.9115.9116.07

    13.915.916.07

    13.9915.9916.07

    13.9615.9616.08

    14.0316.0316.08

    14.0216.0216.08

    13.9415.9416.08

    13.9115.9116.08

    14.0716.0716.08

    14.0816.0816.08

    14.0116.0116.08

    14.0116.0116.08

    13.9915.9916.08

    13.9715.9716.08

    14.0116.0116.08

    14.0116.0116.08

    13.9615.9616.08

    13.9515.9516.08

    13.8715.8716.11

    13.8515.8516.11

    14.0116.0116.11

    14.0116.0116.11

    14.0616.0616.11

    14.0516.0516.11

    Sheet2

    Noni)ni/n)ni/ns)ni/ns)

    115.8310.0050.1715.830.17

    215.8710.0050.1715.870.17

    315.9030.0150.5115.900.51

    415.9380.0401.3515.931.35

    515.96180.0913.0315.963.03

    615.99340.1725.7215.995.72

    716.02550.2789.2616.029.26

    816.06400.2026.7316.066.73

    916.09200.1013.3716.093.37

    1016.12110.0561.8516.121.85

    1116.1550.0250.8416.150.84

    1216.1820.0100.3416.180.34

    1316.2100.0000.0016.210.09

    198

    Sheet2

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0.09

    Sheet5

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0.09

    Sheet4

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0.09

    Sheet3

    xA1exp(B/C)A1exp(B/C)A1exp(B/C)

    15.830.10051243050.00005355390.0055458108

    15.840.18519654510.00014830190.0122466999

    15.850.32612624970.00039250170.0258471625

    15.860.54888125830.00099283320.0521370482

    15.870.88289857830.00240021860.1005124305

    15.881.35732235820.00554581080.1851965451

    15.891.99432052290.01224669990.3261262497

    15.902.80057162230.02584716250.5488812583

    15.913.75870445940.05213704820.8828985783

    15.924.82135871260.10051243051.3573223582

    15.935.91072126750.18519654511.9943205229

    15.946.92550241340.32612624972.8005716223

    15.957.75535817380.54888125833.7587044594

    15.968.30026972040.88289857834.8213587126

    15.978.4902860051.35732235825.9107212675

    15.988.30026972041.99432052296.9255024134

    15.997.75535817382.80057162237.7553581738

    16.006.92550241343.75870445948.3002697204

    16.015.91072126754.82135871268.490286005

    16.024.82135871265.91072126758.3002697204

    16.033.75870445946.92550241347.7553581738

    16.042.80057162237.75535817386.9255024134

    16.051.99432052298.30026972045.9107212675

    16.061.35732235828.4902860054.8213587126

    16.070.88289857838.30026972043.7587044594

    16.080.54888125837.75535817382.8005716223

    16.090.32612624976.92550241341.9943205229

    16.100.18519654515.91072126751.3573223582

    16.110.10051243054.82135871260.8828985783

    16.120.05213704823.75870445940.5488812583

    16.130.02584716252.80057162230.3261262497

    16.140.01224669991.99432052290.1851965451

    16.150.00554581081.35732235820.1005124305

    16.160.00240021860.88289857830.0521370482

    16.170.00099283320.54888125830.0258471625

    16.180.00039250170.32612624970.0122466999

    16.190.00014830190.18519654510.0055458108

    16.200.00005355390.10051243050.0024002186

    16.210.00001848320.05213704820.0009928332

    Sheet3

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    A1exp(B/C)

    A1exp(B/C)

    A1exp(B/C)

    xA1exp(B/C)A2exp(B/C2)

    15.830.0068.7E-13

    15.840.0122.4E-11

    15.850.0265.4E-10

    15.860.0521.0E-08

    15.870.1011.6E-07

    15.880.1852.0E-06

    15.890.3262.1E-05

    15.900.5491.9E-04

    15.910.8831.4E-03

    15.921.3578.2E-03

    15.931.9944.1E-02

    15.942.8011.7E-01

    15.953.7595.8E-01

    15.964.8211.6E+00

    15.975.9113.8E+00

    15.986.9267.4E+00

    15.997.7551.2E+01

    16.008.3001.6E+01

    16.018.4901.7E+01

    16.028.300269720415.7849683099

    16.037.755358173811.8876998459

    16.046.92550241347.4106225239

    16.055.91072126753.8239684255

    16.064.82135871261.6333401869

    16.073.75870445940.577486375

    16.082.80057162230.1690089023

    16.091.99432052290.0409430474

    16.101.35732235820.0082101954

    16.110.88289857830.001362792

    16.120.54888125830.0001872442

    16.130.32612624970.0000212956

    16.140.18519654510.0000020048

    16.150.10051243050.0000001562

    16.160.05213704820.0000000101

    16.170.02584716250.0000000005

    16.180.01224669990

    16.190.00554581080

    16.200.00240021860

    16.210.00099283320

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    A1exp(B/C)

    A2exp(B/C2)

    xA1A2BC1exp(B/C1)A1exp(B/C)C2exp(B/C2)A2exp(B/C2)

    15.838.49028600517.3497148797-0.0169-3.82526029880.0218127570.1851965451-15.97353497160.00000011560.0000020048

    15.848.49028600517.3497148797-0.0144-3.25939339070.03841169180.3261262497-13.61058601130.00000122740.0000212956

    15.858.49028600517.3497148797-0.0121-2.73879583520.06464814710.5488812583-11.43667296790.00001079240.0001872442

    15.868.49028600517.3497148797-0.01-2.26346763240.10398926230.8828985783-9.45179584120.00007854840.001362792

    15.878.49028600517.3497148797-0.0081-1.83340878230.15986768381.3573223582-7.65595463140.00047321790.0082101954

    15.888.49028600517.3497148797-0.0064-1.44861928470.23489438661.9943205229-6.04914933840.00235986860.0409430474

    15.898.49028600517.3497148797-0.0049-1.10909913990.32985598142.8005716223-4.63137996220.00974130720.1690089023

    15.98.49028600517.3497148797-0.0036-0.81484834770.44270645973.7587044594-3.40264650280.03328506430.577486375

    15.918.49028600517.3497148797-0.0025-0.56586690810.56786764424.8213587126-2.36294896030.09414219191.6333401869

    15.928.49028600517.3497148797-0.0016-0.36215482120.69617457695.9107212675-1.51228733460.22040526043.8239684255

    15.938.49028600517.3497148797-0.0009-0.20371208690.81569718736.9255024134-0.85066162570.42713223687.4106225239

    15.948.49028600517.3497148797-0.0004-0.09053870530.91343897837.7553581738-0.37807183360.685181279811.8876998459

    15.958.49028600517.3497148797-0.0001-0.02263467630.97761956618.3002697204-0.09451795840.909811395715.7849683099

    15.968.49028600517.3497148797-0-018.490286005-0117.3497148797

    15.978.49028600517.3497148797-0.0001-0.02263467630.97761956618.3002697204-0.09451795840.909811395715.7849683099

    15.988.49028600517.3497148797-0.0004-0.09053870530.91343897837.7553581738-0.37807183360.685181279811.8876998459

    15.998.49028600517.3497148797-0.0009-0.20371208690.81569718736.9255024134-0.85066162570.42713223687.4106225239

    168.49028600517.3497148797-0.0016-0.36215482120.69617457695.9107212675-1.51228733460.22040526043.8239684255

    16.018.49028600517.3497148797-0.0025-0.56586690810.56786764424.8213587126-2.36294896030.09414219191.6333401869

    16.028.49028600517.3497148797-0.0036-0.81484834770.44270645973.7587044594-3.40264650280.03328506430.577486375

    16.038.49028600517.3497148797-0.0049-1.10909913990.32985598142.8005716223-4.63137996220.00974130720.1690089023

    16.048.49028600517.3497148797-0.0064-1.44861928470.23489438661.9943205229-6.04914933840.00235986860.0409430474

    16.058.49028600517.3497148797-0.0081-1.83340878230.15986768381.3573223582-7.65595463140.00047321790.0082101954

    16.068.49028600517.3497148797-0.01-2.26346763240.10398926230.8828985783-9.45179584120.00007854840.001362792

    16.078.49028600517.3497148797-0.0121-2.73879583520.06464814710.5488812583-11.43667296790.00001079240.0001872442

    16.088.49028600517.3497148797-0.0144-3.25939339070.03841169180.3261262497-13.61058601130.00000122740.0000212956

    16.098.49028600517.3497148797-0.0169-3.82526029880.0218127570.1851965451-15.97353497160.00000011560.0000020048

    16.18.49028600517.3497148797-0.0196-4.43639655950.01183852120.1005124305-18.52551984880.0000000090.0000001562

    16.118.49028600517.3497148797-0.0225-5.09280217290.00614078820.0521370482-21.26654064270.00000000060.0000000101

    16.128.49028600517.3497148797-0.0256-5.7944771390.00304432180.0258471625-24.196597353500.0000000005

    16.138.49028600517.3497148797-0.0289-6.54142145770.00144243670.0122466999-27.315689981100

    16.148.49028600517.3497148797-0.0324-7.3336351290.00065319480.0055458108-30.623818525500

    16.158.49028600517.3497148797-0.0361-8.1711181530.00028270170.0024002186-34.120982986800

    16.168.49028600517.3497148797-0.04-9.05387052970.00011693750.0009928332-37.807183364800

    16.178.49028600517.3497148797-0.0441-9.98189225890.00004622950.0003925017-41.682419659700

    16.188.49028600517.3497148797-0.0484-10.95518334090.00001746720.0001483019-45.746691871500

    16.198.49028600517.3497148797-0.0529-11.97374377550.00000630770.0000535539-5000

    16.28.49028600517.3497148797-0.0576-13.03757356270.0000021770.0000184832-54.442344045400

    16.218.49028600517.3497148797-0.0625-14.14667270260.00000071810.0000060968-59.073724007600

    1

    0.00554581080

    0.01224669990

    0.02584716250.0000000005

    0.05213704820.0000000101

    0.10051243050.0000001562

    0.18519654510.0000020048

    0.32612624970.0000212956

    0.54888125830.0001872442

    0.88289857830.001362792

    1.35732235820.0082101954

    1.99432052290.0409430474

    2.80057162230.1690089023

    3.75870445940.577486375

    4.82135871261.6333401869

    5.91072126753.8239684255

    6.92550241347.4106225239

    7.755358173811.8876998459

    8.300269720415.7849683099

    8.49028600517.3497148797

    8.300269720415.7849683099

    7.755358173811.8876998459

    6.92550241347.4106225239

    5.91072126753.8239684255

    4.82135871261.6333401869

    3.75870445940.577486375

    2.80057162230.1690089023

    1.99432052290.0409430474

    1.35732235820.0082101954

    0.88289857830.001362792

    0.54888125830.0001872442

    0.32612624970.0000212956

    0.18519654510.0000020048

    0.10051243050.0000001562

    0.05213704820.0000000101

    0.02584716250.0000000005

    0.01224669990

    0.00554581080

    0.00240021860

    0.00099283320

    A1exp(B/C)

    A2exp(B/C2)

    x

    y

    Sheet1

    Noni)ni/n)ni/ns)

    115.8310.0050.16

    14.0216.0215.8515.88215.8710.0050.16

    14.0516.0515.8515.91315.9030.0140.48

    14.0516.0515.8715.94415.9380.0381.28

    14.0516.0515.8715.97515.96180.0862.87

    14.0516.0515.8716615.99390.1876.22

    14.0516.0515.8716.03716.02610.2929.73

    13.8815.8815.8716.07816.06400.1916.38

    13.8715.8715.8716.1916.09200.0963.19

    14.0116.0115.8816.131016.12110.0531.75

    13.9915.9915.881116.1550.0240.80

    14.1116.1115.8816.011216.1810.0050.16

    14.1116.1115.91316.2110.0050.16

    14.0616.0615.90.055061106820933.33

    14.0816.0815.9

    13.9815.9815.91

    13.9815.9815.91

    14.0616.0615.91

    14.0616.0615.91

    14.0516.0515.91

    13.9915.9915.91

    13.9915.9915.94

    14.0416.0415.94

    14.0316.0315.94

    14.0316.0315.95

    14.0116.0115.95

    141615.95

    13.9815.9815.96

    13.9815.9815.96

    13.9915.9915.96

    13.9715.9715.96

    13.9715.9715.96

    14.0116.0115.96

    14.0116.0115.97

    14.0116.0115.97

    14.0816.0815.97

    14.0816.0815.97

    14.0716.0715.97

    14.0616.0615.97

    14.0516.0515.97

    14.0414.03015.97

    14.0316.0315.97

    14.0816.0815.98

    14.0716.0715.98

    14.0416.0415.98

    14.0316.0315.98

    13.9115.9115.98

    13.915.915.98

    13.9915.9915.98

    13.9615.9615.98

    14.0316.0315.98

    14.0216.0215.98

    13.9415.9415.98

    13.9115.9115.98

    14.0716.0715.99

    14.0816.0815.99

    14.0116.0115.99

    14.0116.0115.99

    13.9915.9915.99

    13.9715.9715.99

    14.0116.0115.99

    14.0116.0115.99

    13.9615.9615.99

    13.9515.9515.99

    13.8715.8715.99

    13.8515.8515.99

    14.0116.0115.99

    14.0116.0115.99

    14.0616.0615.99

    14.0516.0515.99

    14.0416.0415.99

    14.0416.0415.99

    14.0216.0216

    14.0216.0216

    14.0516.0516

    14.0516.0516

    14.0516.0516.01

    14.0516.0516.01

    14.0516.0516.01

    13.8815.8816.01

    13.8715.8716.01

    14.0116.0116.01

    13.9915.9916.01

    14.1116.1116.01

    14.1116.1116.01

    14.0616.0616.01

    14.0816.0816.01

    13.9815.9816.01

    13.9815.9816.01

    14.0616.0616.01

    14.0616.0616.01

    14.0516.0516.01

    13.9915.9916.01

    13.9915.9916.01

    14.0416.0416.01

    14.0316.0316.01

    14.0316.0316.01

    14.0116.0116.01

    141616.01

    13.9815.9816.01

    13.9815.9816.01

    13.9915.9916.01

    13.9715.9716.01

    13.9715.9716.01

    14.0116.0116.01

    14.0116.0116.01

    14.0116.0116.01

    14.0816.0816.01

    14.0816.0816.01

    14.0716.0716.02

    14.0616.0616.02

    14.0516.0516.02

    141616.02

    14.0416.0416.02

    14.0316.0316.02

    14.0816.0816.02

    14.0716.0716.02

    14.0416.0416.02

    14.0316.0316.03

    13.9115.9116.03

    13.915.916.03

    13.9915.9916.03

    13.9615.9616.03

    14.0316.0316.03

    14.0216.0216.03

    13.9415.9416.03

    13.9115.9116.03

    14.0716.0716.03

    14.0816.0816.03

    14.0116.0116.03

    14.0116.0116.03

    13.9915.9916.03

    13.9715.9716.03

    14.0116.0116.04

    14.0116.0116.04

    13.9615.9616.04

    13.9515.9516.04

    13.8715.8716.04

    13.8515.8516.04

    14.0116.0116.04

    14.0116.0116.04

    14.0616.0616.04

    14.0516.0516.04

    14.0416.0416.04

    14.0416.0416.04

    14.0216.0216.04

    14.0216.0216.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    14.0516.0516.05

    13.8815.8816.05

    13.8715.8716.05

    14.0116.0116.05

    13.9915.9916.05

    14.1116.1116.05

    14.1116.1116.05

    14.0616.0616.05

    14.0816.0816.05

    13.9815.9816.05

    13.9815.9816.05

    14.0616.0616.05

    14.0616.0616.05

    14.0516.0516.05

    13.9915.9916.05

    13.9915.9916.05

    14.0416.0416.05

    14.0316.0316.05

    14.0316.0316.05

    14.0116.0116.06

    141616.06

    13.9815.9816.06

    13.9815.9816.06

    13.9915.9916.06

    13.9715.9716.06

    13.9715.9716.06

    14.0116.0116.06

    14.0116.0116.06

    14.0116.0116.06

    14.0816.0816.06

    14.0816.0816.06

    14.0716.0716.06

    14.0616.0616.06

    14.0516.0516.06

    14.0414.03016.07

    14.0316.0316.07

    14.0816.0816.07

    14.0716.0716.07

    14.0416.0416.07

    14.0316.0316.07

    13.9115.9116.07

    13.915.916.07

    13.9915.9916.07

    13.9615.9616.08

    14.0316.0316.08

    14.0216.0216.08

    13.9415.9416.08

    13.9115.9116.08

    14.0716.0716.08

    14.0816.0816.08

    14.0116.0116.08

    14.0116.0116.08

    13.9915.9916.08

    13.9715.9716.08

    14.0116.0116.08

    14.0116.0116.08

    13.9615.9616.08

    13.9515.9516.08

    13.8715.8716.11

    13.8515.8516.11

    14.0116.0116.11

    14.0116.0116.11

    14.0616.0616.11

    14.0516.0516.11

    Sheet2

    Noni)ni/n)ni/ns)ni/ns)

    115.8310.0050.1715.830.17

    215.8710.0050.1715.870.17

    315.9030.0150.5115.900.51

    415.9380.0401.3515.931.35

    515.96180.0913.0315.963.03

    615.99340.1725.7215.995.72

    716.02550.2789.2616.029.26

    816.06400.2026.7316.066.73

    916.09200.1013.3716.093.37

    1016.12110.0561.8516.121.85

    1116.1550.0250.8416.150.84

    1216.1820.0100.3416.180.34

    1316.2100.0000.0016.210.09

    198

    Sheet2

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0.09

    Sheet4

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0.09

    Sheet3

    0.1683501684

    0.1683501684

    0.5050505051

    1.3468013468

    3.0303030303

    5.7239057239

    9.2592592593

    6.734006734

    3.367003367

    1.8518518519

    0.8417508418

    0.34

    0.09

    xA1exp(B/C)A2exp(B/C2)

    15.830.0068.7E-13

    15.840.0122.4E-11

    15.850.0265.4E-10

    15.860.0521.0E-08

    15.870.1011.6E-07

    15.880.1852.0E-06

    15.890.3262.1E-05

    15.900.5491.9E-04

    15.910.8831.4E-03

    15.921.3578.2E-03

    15.931.9944.1E-02

    15.942.8011.7E-01

    15.953.7595.8E-01

    15.964.8211.6E+00

    15.975.9113.8E+00

    15.986.9267.4E+00

    15.997.7551.2E+01

    16.008.3001.6E+01

    16.018.4901.7E+01

    16.028.300269720415.7849683099

    16.037.755358173811.8876998459

    16.046.92550241347.4106225239

    16.055.91072126753.8239684255

    16.064.82135871261.6333401869

    16.073.75870445940.577486375

    16.082.80057162230.1690089023

    16.091.99432052290.0409430474

    16.101.35732235820.0082101954

    16.110.88289857830.001362792

    16.120.54888125830.0001872442

    16.130.32612624970.0000212956

    16.140.18519654510.0000020048

    16.150.10051243050.0000001562

    16.160.05213704820.0000000101

    16.170.02584716250.0000000005

    16.180.01224669990

    16.190.00554581080

    16.200.00240021860

    16.210.00099283320

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    A1exp(B/C)

    A2exp(B/C2)

    xA1A2BC1exp(B/C1)A1exp(B/C)C2exp(B/C2)A2exp(B/C2)

    15.838.49028600517.3497148797-0.0324-7.3336351290.00065319480.0055458108-30.623818525500

    15.848.49028600517.3497148797-0.0289-6.54142145770.00144243670.0122466999-27.315689981100

    15.858.49028600517.3497148797-0.0256-5.7944771390.00304432180.0258471625-24.196597353500.0000000005

    15.868.49028600517.3497148797-0.0225-5.09280217290.00614078820.0521370482-21.26654064270.00000000060.0000000101

    15.878.49028600517.3497148797-0.0196-4.43639655950.01183852120.1005124305-18.52551984880.0000000090.0000001562

    15.888.49028600517.3497148797-0.0169-3.82526029880.0218127570.1851965451-15.97353497160.00000011560.0000020048

    15.898.49028600517.3497148797-0.0144-3.25939339070.03841169180.3261262497-13.61058601130.00000122740.0000212956

    15.98.49028600517.3497148797-0.0121-2.73879583520.06464814710.5488812583-11.43667296790.00001079240.0001872442

    15.918.49028600517.3497148797-0.01-2.26346763240.10398926230.8828985783-9.45179584120.00007854840.001362792

    15.928.49028600517.3497148797-0.0081-1.83340878230.15986768381.3573223582-7.65595463140.00047321790.0082101954

    15.938.49028600517.3497148797-0.0064-1.44861928470.23489438661.9943205229-6.04914933840.00235986860.0409430474

    15.948.49028600517.3497148797-0.0049-1.10909913990.32985598142.8005716223-4.63137996220.00974130720.1690089023

    15.958.49028600517.3497148797-0.0036-0.81484834770.44270645973.7587044594-3.40264650280.03328506430.577486375

    15.968.49028600517.3497148797-0.0025-0.56586690810.56786764424.8213587126-2.36294896030.09414219191.6333401869

    15.978.49028600517.3497148797-0.0016-0.36215482120.69617457695.9107212675-1.51228733460.22040526043.8239684255

    15.988.49028600517.3497148797-0.0009-0.20371208690.81569718736.9255024134-0.85066162570.42713223687.4106225239

    15.998.49028600517.3497148797-0.0004-0.09053870530.91343897837.7553581738-0.37807183360.685181279811.8876998459

    168.49028600517.3497148797-0.0001-0.02263467630.97761956618.3002697204-0.09451795840.909811395715.7849683099

    16.018.49028600517.3497148797-0-018.490286005-0117.3497148797

    16.028.49028600517.3497148797-0.0001-0.02263467630.97761956618.3002697204-0.09451795840.909811395715.7849683099

    16.038.49028600517.3497148797-0.0004-0.09053870530.91343897837.7553581738-0.37807183360.685181279811.8876998459

    16.048.49028600517.3497148797-0.0009-0.20371208690.81569718736.9255024134-0.85066162570.42713223687.4106225239

    16.058.49028600517.3497148797-0.0016-0.36215482120.69617457695.9107212675-1.51228733460.22040526043.8239684255

    16.068.49028600517.3497148797-0.0025-0.56586690810.56786764424.8213587126-2.36294896030.09414219191.6333401869

    16.078.49028600517.3497148797-0.0036-0.81484834770.44270645973.7587044594-3.40264650280.03328506430.577486375

    16.088.49028600517.3497148797-0.0049-1.10909913990.32985598142.8005716223-4.63137996220.00974130720.1690089023

    16.098.49028600517.3497148797-0.0064-1.44861928470.23489438661.9943205229-6.04914933840.00235986860.0409430474

    16.18.49028600517.3497148797-0.0081-1.83340878230.15986768381.3573223582-7.65595463140.00047321790.0082101954

    16.118.49028600517.3497148797-0.01-2.26346763240.10398926230.8828985783-9.45179584120.00007854840.001362792

    16.128.49028600517.3497148797-0.0121-2.73879583520.06464814710.5488812583-11.43667296790.00001079240.0001872442

    16.138.49028600517.3497148797-0.0144-3.25939339070.03841169180.3261262497-13.61058601130.00000122740.0000212956

    16.148.49028600517.3497148797-0.0169-3.82526029880.0218127570.1851965451-15.97353497160.00000011560.0000020048

    16.158.49028600517.3497148797-0.0196-4.43639655950.01183852120.1005124305-18.52551984880.0000000090.0000001562

    16.168.49028600517.3497148797-0.0225-5.09280217290.00614078820.0521370482-21.26654064270.00000000060.0000000101

    16.178.49028600517.3497148797-0.0256-5.7944771390.00304432180.0258471625-24.196597353500.0000000005

    16.188.49028600517.3497148797-0.0289-6.54142145770.00144243670.0122466999-27.315689981100

    16.198.49028600517.3497148797-0.0324-7.3336351290.00065319480.0055458108-30.623818525500

    16.28.49028600517.3497148797-0.0361-8.1711181530.00028270170.0024002186-34.120982986800

    16.218.49028600517.3497148797-0.04-9.05387052970.00011693750.0009928332-37.807183364800

  • 123x = y

  • N (0,1)

  • | u || u | u | u 0.6740.25001.0000.34131.6450.45001.9600.47502.0000.47732.5760.49503.0000.49870.5000

  • 2221

    u%-1, +1)(-1 , +1 )68.3(-1.96, +1.96)(-1.96 , +1.96 )95.0(-2, +2)(-2 , +2 )95.5(-2.58, 2.58)(-2.58 , +2.58 )99.0(-3, +3)(-3 , +3 )99.7

  • 2-11u=1.5 2 0.4332 = 0.866 = 86.6 %2u >2.5 0.5 0.4938 = 0.0062 =0.62%1.75% = 0.10, 11.750.15% 22 %86.6%P a aP + a = 1a P

  • 500g 3 4 4 = T T

  • 2.3.1BT n x1x2x3 xn Average Median

  • R RangeR Deviation Mean deviation relative mean deviation standard deviation()Relative standard deviation (Coefficient of variation , CV )

  • x1x2x3

  • m n 12m

  • 12

  • 2.3.2 12 Confidence level Degree of confidence Probability level Confidence interval Confidence limit

  • 100%

  • 12 u 3ux

  • 2-2

  • 1t s

  • t P = 1 - 2-42-312-322-5

    f =(n-1)0.500.100.050.0111.006.3112.7163.6620.822.924.309.9330.762.353.185.8440.742.132.784.6050.732.022.574.0360.721.942.453.7170.711.902.373.5080.711.862.313.3690.701.832.263.25100.701.812.233.17200.691.732.092.850.671.651.962.58

  • 2 f t t 1-100%

  • 2-337.4537.2037.5037.3037.25%1295%99%1

  • 1

  • 2 95%99%95%1- = 0.95 = 0.05t 0.05, 4 = 2.78 95%1 99%1- = 0.99 = 0.01t 0.01,4= 4.60 99%

  • n t u

  • 2.3.3 Significant Test

  • 1.1 t t t 23t t

  • 2-4( = 0.05%)T = T

  • u u t ut2-5T4.55%0.08%54.28%4.40%, 4.42%, 4.35%, 4.37%( = 0.05%) = T

  • 2

  • 1F S1S22t 34

  • 95%F90%F

    f f23456219.0019.1619.2519.3019.3339.559.289.129.018.94 46.946.596.396.166.0955.795.415.195.054.9565.144.764.534.394.28

  • 2.3.4 Outlier rejection20 = 0.7979 0.80 4 34

  • 2Q Dixons Q-test12R 3d4Q5Q2-6%Na2O)640.0240.1240.1640.1840.1840.2090% n = 6 , Q = 0.56

    n345678910Q 0.900.940.760.640.560.510.470.440.41Q 0.950.970.840.730.640.590.540.510.49

  • 3Grubbs)1 2 n 3 T> T

  • 2.1 2.1.1 2.1.2 2.1.3 2.1.4 2.2 2.2.1 2.2.2 2.2.3

  • 2.3 2.3.1 2.3.2 2.3.3 2.3.4 2.3.5 2.3.6 2.4 2.4.1 2.4.2 2.4.3

  • 2.5 2.6 2.6.1 2.6.2

  • 1kiY ABCABCsAsBsC2.3.5 Propagation of Error

  • 2Y ABCABCsAsBsC

  • 3

  • 2-7 s = 0.10 mg 2-80.05 0.01) mL, 22.10 0.01) mL, V = 0.01 + 0.01 = 0.02 22.10-0.05 0.02 mL = 22.05 0.02 mL

  • 2.3 6 12

    No.g / L15.000.045210.00.093320.00.140430.00.175540.00.23660.200

    1

    0

    0.045

    0.089

    0.136

    0.178

    0.236

    0.181

    ug / mL)

    A

    Sheet1

    mg / L

    0.00

    5.00.045

    10.00.089

    20.00.136

    30.00.178

    40.00.236

    30.00.181

    Sheet1

    0.045

    0.089

    0.136

    0.178

    0.236

    0.181

    ug / mL)

    A

    Sheet2

    0

    0.045

    0.089

    0.136

    0.178

    0.236

    0.181

    ug / mL)

    A

    Sheet3

    Sheet3

    0

    0.045

    0.089

    0.136

    0.178

    0.236

    0.181

    ug / mL)

    A

  • Linear regression1 method of least squaresyn yi Q

  • Correlation coefficient 2

  • 3. R 01 1.yiR=12.yxR=0

  • 2-9 n = 5, R = 0.920, 95%f = 5 2 = 3, = 0.05, R0 = 0.878,R > R0,

    f = n-20.100.050.010.00110.9880.9970.99980.99999920.9000.9500.9900.99930.8050.8780.9590.991

  • 2.4 2.4.1 Ei= 0.0001 g Ea = 0.0002 g Ei = 0.01 mL Ea = 0.02 mL

  • 2-1040.00 mL 0.1000 mol.L-1 NaOH, HCl39.10 mL, 10.12%, V = 40.00 39.10 = 0.90 (mL) >

  • 2.4.2

  • 2.4.3 1

  • 2.5 Significant figures1Significant figures---all the digits known with certainty plus the first uncertain digit. 28.56 mL 0.2080 g

  • 23 Calculate the molar mass (MW) of HNO3; atomic mass are: H: 1.00797; N: 14.0067; O: 15.9994.MW = 1.00797 + 14.0067 + 47.9982 = 63.0128763.0129 g mol-1Calculate the molar concentration of a 70% HNO3 solution whose density is 1.413 kg L-1C = 1.413 0.701000 / 63.0129 = 15.696716 mol L-1

  • 2.6 Quality Assurance (QA)

  • 2.6.1 SRM Standard Reference Material, QC Quality Control,

  • 2.6.2 Meaning Measurement System1976

  • 1 2345

  • 1.

  • 2ISOISO International Organization for Standardization

  • 3

  • 4

  • 5 Control chartUCL UWL LWL LCL

  • * R

    x R+2S+2/3(A2 )+2/3(D4 - )+3S+ A2D4-2S-2/3(A2 -3S- A2D3

    XiXiRi10.5010.4910.4960.01020.4900.4900.4900.000

  • W. S. Gossettu 123419982250 million)10%several billion US$)%20231 p.423-