Poisson分布
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泊松分布表

在单抗制备中,杂交瘤细胞的克隆化过程(如有限稀释法)中,每孔中细胞个数的分布服从泊松分布。下表列出了不同λ值(每孔平均细胞数)下,出现m个细胞的概率p。

泊松分布公式

λ = 0.1 ~ 3.0

m\λ 0.10.20.30.40.50.60.70.80.91.01.52.02.53.0
00.90480.81870.74080.67030.60650.54880.49660.44930.40660.36790.22310.13530.08210.0498
10.09050.16370.22230.26810.30330.32930.34760.35950.36590.36790.33470.27070.20520.1494
20.00450.01640.03330.05360.07580.09880.12160.14380.16470.18390.25100.27070.25650.2240
30.00020.00110.00330.00720.01260.01980.02840.03830.04940.06130.12550.18050.21380.2240
4 0.00010.00030.00070.00160.00300.00500.00770.01110.01530.04710.09020.13360.1681
5   0.00010.00020.00030.00070.00120.00200.00310.01410.03610.06680.1008
6      0.00010.00020.00030.00050.00350.01200.02780.0504
7         0.00010.00080.00340.00990.0216
8          0.00020.00090.00310.0081
9           0.00020.00090.0027
10            0.00020.0008
11            0.00010.0002
12             0.0001

λ = 3.5 ~ 15

m\λ 3.54.04.556789101112131415
00.03020.01830.01110.00670.00250.00090.00030.0001      
10.10570.07330.05000.03370.01490.00640.00270.00110.00040.00020.0001   
20.18500.14650.11250.08420.04460.02230.01070.00500.00230.00100.00040.00020.0001 
30.21580.19540.16870.14040.08920.05210.02860.01500.00760.00370.00180.00080.00040.0002
40.18880.19540.18980.17550.13390.09120.05730.03370.01890.01020.00530.00270.00130.0006
50.13220.15630.17080.17550.16060.12770.09160.06070.03780.02240.01270.00710.00390.0021
60.07710.10420.12810.14620.16060.14900.12210.09110.06310.04110.02550.01510.00870.0048
70.03850.05950.08240.10440.13770.14900.13960.11710.09010.06460.04370.02810.01740.0104
80.01690.02980.04630.06530.10330.13040.13960.13180.11260.08880.06550.04570.03040.0195
90.00650.01320.02320.03630.06880.10140.12410.13180.12510.10850.08740.06600.04730.0324
100.00230.00530.01040.01810.04130.07100.09930.11860.12510.11940.10480.08590.06630.0486
110.00070.00190.00430.00820.02250.04520.07220.09700.11370.11940.11440.10150.08430.0663
120.00020.00060.00150.00340.01130.02640.04810.07280.09480.10940.11440.10990.09840.0828
130.00010.00020.00060.00130.00520.01420.02960.05040.07290.09260.10560.10990.10610.0956
14 0.00010.00020.00050.00230.00710.01690.03240.05210.07280.09050.10210.10610.1025
15  0.00010.00020.00090.00330.00900.01940.03470.05330.07240.08850.09890.1025
16   0.00010.00030.00150.00450.01090.02170.03670.05430.07190.08650.0960
17    0.00010.00060.00210.00580.01280.02370.03830.05510.07130.0847
18     0.00020.00100.00290.00710.01450.02550.03970.05540.0706
19     0.00010.00040.00140.00370.00840.01610.02720.04080.0557
20      0.00020.00070.00190.00460.00970.01770.02860.0418
21      0.00010.00030.00090.00240.00550.01090.01910.0299
22       0.00010.00040.00130.00300.00650.01220.0204
23       0.00010.00020.00060.00170.00360.00740.0133
24        0.00010.00030.00080.00200.00430.0083
25         0.00010.00040.00090.00240.0050
26          0.00020.00050.00130.0029
27          0.0001<0.00020.00070.0017
28           0.00020.00030.0009
29           0.00010.00020.0004
30            0.00010.0002
31             0.0001

λ = 20 和 λ = 30

λ = 20 λ = 30
mpmpmp mpmpmp
50.0001200.0889350.000710<0.0001250.0511400.0139
60.0002210.0846360.000411<0.0001260.0590410.0102
70.0006220.0769370.0002120.0001270.0655420.0073
80.0013230.0669380.0001130.0002280.0702430.0051
90.0029240.0557390.0001140.0005290.0727440.0035
100.0058250.0446  150.0010300.0727450.0023
110.0106260.0343  160.0019310.0703460.0015
120.0176270.0254  170.0034320.0659470.0010
130.0271280.0182  180.0057330.0599480.0006
140.0387290.0125  190.0089340.0529490.0004
150.0516300.0083  200.0134350.0453500.0002
160.0646310.0054  210.0192360.0378510.0001
170.0760320.0034  220.0261370.0306520.0001
180.0844330.0020  230.0341380.0242  
190.0889340.0012  240.0426390.0186  

关于泊松分布在单抗制备中的应用,请参见杂交瘤细胞的克隆化一节。

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