Ивантер Э.В., Коросов А.В. Элементарная биометрия
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88
Таблица 4П
Ординаты нормальной кривой
(значения функции
2
2
2
1
)(
t
etf ⋅=
π
)
t
0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0
0.3989
0.3989
0.3989
0.3988
0.3986
0.3984
0.3982
0.3980
0.3977
0.3973
0.1
0.3970
0.3965
0.3961
0.3956
0.3951
0.3945
0.3939
0.3932
0.3825
0.3918
0.2
0.3910
0.3902
0.3894
0.3885
0.3876
0.3867
0.3857
0.3847
0.3836
0.3825
0.3
0.3814
0.3802
0.3790
0.3778
0.3765
0.3752
0.3739
0.3726
0.3712
0.3697
0.4
0.3683
0.3668
0.3653
0.3637
0.3621
0.3605
0.3589
0.3572
0.3555
0.3538
0.5
0.3521
0.3503
0.3485
0.3467
0.3448
0.3429
0.3410
0.3391
0.3372
0.3352
0.6
0.3332
0.3312
0.3292
0.3271
0.3251
0.3230
0.3209
0.3187
0.3166
0.3144
0.7
0.3123
0.3101
0.3079
0.3056
0.3034
0.3011
0.2989
0.2966
0.2943
0.2920
0.8
0.2987
0.2874
0.2850
0.2827
0.2803
0.2780
0.2756
0.2732
0.2709
0.2685
0.9
0.2661
0.2637
0.2613
0.2589
0.2565
0.2541
0.2516
0.2492
0.2468
0.2444
1
0.2420
0.2396
0.2371
0.2347
0.2323
0.2299
0.2275
0.2251
0.2227
0.2203
1.1
0.2179
0.2155
0.2131
0.2107
0.2083
0.2059
0.2036
0.2012
0.1989
0.1965
1.2
0.1942
0.1919
0.1895
0.1872
0.1849
0.1826
0.1804
0.1781
0.1758
0.1736
1.3
0.1714
0.1691
0.1669
0.1647
0.1626
0.1604
0.1582
0.1561
0.1539
0.1518
1.4
0.1497
0.1476
0.1456
0.1435
0.1415
0.1394
0.1374
0.1354
0.1334
0.1315
1.5
0.1295
0.1276
0.1257
0.1238
0.1219
0.1200
0.1182
0.1163
0.1145
0.1127
1.6
0.1109
0.1092
0.1074
0.1057
0.1040
0.1023
0.1006
0.0989
0.0973
0.0957
1.7
0.0940
0.0925
0.0909
0.0893
0.0878
0.0863
0.0848
0.0833
0.0818
0.0804
1.8
0.0790
0.0775
0.0761
0.0748
0.0734
0.0721
0.0707
0.0694
0.0681
0.0669
1.9
0.0656
0.0644
0.0632
0.0620
0.0608
0.0596
0.0584
0.0573
0.0562
0.0551
2
0.0540
0.0529
0.0519
0.0508
0.0498
0.0488
0.0478
0.0468
0.0459
0.0449
2.1
0.0440
0.0431
0.0422
0.0413
0.0404
0.0396
0.0387
0.0379
0.0371
0.0363
2.2
0.0355
0.0347
0.0339
0.0332
0.0325
0.0317
0.0310
0.0303
0.0297
0.0290
2.3
0.0283
0.0277
0.0270
0.0264
0.0258
0.0252
0.0246
0.0241
0.0235
0.0229
2.4
0.0224
0.0219
0.0213
0.0208
0.0203
0.0198
0.0191
0.0189
0.0184
0.0180
2.5
0.0175
0.0171
0.0167
0.0163
0.0158
0.0154
0.0151
0.0147
0.0143
0.0139
2.6
0.0136
0.0132
0.0129
0.0126
0.0122
0.0119
0.0116
0.0113
0.0110
0.0107
2.7
0.0104
0.0101
0.0099
0.0096
0.0093
0.0091
0.0088
0.0086
0.0084
0.0081
2.8
0.0079
0.0077
0.0075
0.0073
0.0071
0.0069
0.0067
0.0065
0.0063
0.0061
2.9
0.0060
0.0058
0.0056
0.0055
0.0053
0.0051
0.0050
0.0048
0.0047
0.0046
3
0.0044
0.0043
0.0042
0.0041
0.0039
0.0038
0.0037
0.0036
0.0035
0.0034
3.1
0.0033
0.0032
0.0031
0.0030
0.0029
0.0028
0.0027
0.0026
0.0025
0.0025
3.2
0.0024
0.0023
0.0022
0.0022
0.0021
0.0020
0.0020
0.0019
0.0018
0.0018
3.3
0.0017
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
0.0013
0.0013
3.4
0.0012
0.0012
0.0012
0.0011
0.0011
0.0010
0.0010
0.0010
0.0009
0.0009
3.5
0.0009
0.0008
0.0008
0.0008
0.0008
0.0007
0.0007
0.0007
0.0007
0.0006
89
Таблица 5П
Значение критерия t для отбраковки «выскакивающих» вариант
n α n α
0.05
0.01
0.001
0.05
0.01
0.001
5 3.04
5.04
9.43
20 2.15
2.93
3.98
6 2.78
4.36
7.41
25 2.11
2.85
3.82
7 2.62
3.96
6.37
30 2.08
2.80
3.72
8 2.51
3.71
5.73
35 2.06
2.77
3.65
9 2.43
3.54
5.31
40 2.05
2.74
3.60
10 2.37
3.41
5.01
45 2.04
2.72
3.57
11 2.33
3.31
4.79
50 2.03
2.71
3.53
12 2.29
3.23
4.62
60 2.02
2.68
3.49
13 2.26
3.17
4.48
70 2.01
2.67
3.46
14 2.24
3.12
4.37
80 2.00
2.66
3.44
15 2.22
3.08
4.28
90 2.00
2.65
3.42
16 2.20
3.04
4.20
100 1.99
2.64
3.41
17 2.18
3.01
4.13
0 1.96
2.58
3.29
18 2.17
2.98
4.07
Пороговые значения распределения Т Стьюдента;
α для двустороннего критерия
Пороговые значения распределения F Фишера
Пороговые значения распределения χ² Пирсона
α
F
α
/
2
α
/
2
-
t
t
α
χ²
90
Таблица 6П
Значения критерия t Стьюдента
Доверительная вероятность (P)
Уровень значимости (α)
Число сте-
пеней сво-
боды, df
P = 0.095
α = 0.05
P = 0.099
α = 0.01
P = 0.0999
α = 0.001
2 4.303 9.925 31.598
3 3.182 5.841 12.941
4 2.776 4.604 8.610
5 2.571 4.032 6.859
6 2.447 3.707 5.959
7 2.365 3.499 5.405
8 2.306 3.355 5.041
9 2.262 3.250 4.781
10 2.228 3.169 4.587
11 2.201 3.106 4.437
12 2.179 3.055 4.318
13 2.160 3.012 4.221
14 2.145 2.977 4.140
15 2.131 2.947 4.073
16 2.120 2.921 4.015
17 2.110 2.898 3.965
18 2.101 2.878 3.922
19 2.093 2.861 3.883
20 2.086 2.845 3.850
22 2.074 2.819 3.792
25 2.060 2.787 3.725
30 2.042 2.750 3.646
35 2.030 2.724 3.591
40 2.021 2.704 3.551
45 2.014 2.690 3.520
50 2.008 2.678 3.496
55 2.004 2.669 3.476
60 2.000 2.660 3.460
70 1.994 2.648 3.435
80 1.989 2.638 3.416
90 1.986 2.631 3.402
100 1.982 2.625 3.390
120 1.980 2.617 3.373
>120 1.960 2.5758 3.2905
91
Таблица 7П
Значения критерия F Фишера при уровне значимости α = 0.05
(число степеней свободы указано для дисперсии знаменателя – в строке,
для дисперсии числителя – в столбце)
df
1
df
2
1 2 3 4 5 6 7 8 9 10
15
20
30
∞
1
161
200
216
225
230
234
237
239
241
242
246
248
250
254
2
18.5
19.0
19.2
19.3
19.3
19.3
19.4
19.4
19.4
19.4
19.4
19.5
19.5
19.4
3
10.1
9.6
9.3
9.1
9.0
8.9
8.9
8.9
8.8
8.8
8.7
8.7
8.6
8.5
4
7.7
6.9
6.6
6.4
6.3
6.2
6.1
6.0
6.0
5.9
5.9
5.8
5.8
5.6
5
6.6
5.8
5.4
5.2
5.1
5.0
4.9
4.8
4.8
4.7
4.6
4.6
4.5
4.4
6
6.0
5.1
4.7
4.5
4.4
4.3
4.2
4.2
4.1
4.1
4.0
3.9
3.8
3.7
7
5.6
4.7
4.4
4.1
4.0
3.9
3.8
3.7
3.7
3.6
3.5
3.4
3.4
3.2
8
5.3
4.5
4.1
3.8
3.7
3.6
3.5
3.4
3.4
3.3
3.2
3.2
3.1
3.0
9
5.1
4.3
3.9
3.6
3.5
3.4
3.3
3.2
3.2
3.1
3.0
2.9
2.9
2.7
10
5.0
4.1
3.7
3.5
3.3
3.2
3.1
3.1
3.0
3.0
2.9
2.8
2.7
2.5
11
4.8
4.0
3.6
3.4
3.2
3.1
3.0
3.0
2.9
2.9
2.7
2.7
2.6
2.4
12
4.7
3.9
3.5
3.3
3.1
3.0
2.9
2.9
2.8
2.8
2.6
2.5
2.5
2.3
13
4.7
3.8
3.4
3.2
3.0
2.9
2.8
2.8
2.7
2.7
2.5
2.5
2.4
2.2
14
4.6
3.7
3.3
3.1
3.0
2.9
2.8
2.7
2.7
2.6
2.5
2.4
2.3
2.1
15
4.5
3.7
3.3
3.1
2.9
2.8
2.7
2.6
2.6
2.5
2.4
2.3
2.2
2.1
16
4.5
3.6
3.2
3.0
2.8
2.7
2.7
2.6
2.5
2.5
2.3
2.3
2.2
2.0
17
4.4
3.6
3.2
2.9
2.8
2.7
2.6
2.5
2.5
2.4
2.3
2.2
2.1
2.0
18
4.4
3.5
3.2
2.9
2.8
2.7
2.6
2.5
2.5
2.4
2.3
2.2
2.1
1.9
19
4.4
3.5
3.1
2.9
2.7
2.6
2.5
2.5
2.4
2.4
2.2
2.2
2.1
1.9
20
4.3
3.5
3.1
2.9
2.7
2.6
2.5
2.4
2.4
2.3
2.2
2.1
2.0
1.8
21
4.3
3.5
3.1
2.8
2.7
2.6
2.5
2.4
2.4
2.3
2.2
2.1
2.0
1.8
22
4.3
3.4
3.0
2.8
2.7
2.5
2.5
2.4
2.3
2.3
2.1
2.1
2.0
1.8
23
4.3
3.4
3.0
2.8
2.6
2.5
2.4
2.4
2.3
2.3
2.1
2.0
1.9
1.8
24
4.3
3.4
3.0
2.8
2.6
2.5
2.4
2.4
2.3
2.2
2.1
2.0
1.9
1.7
26
4.2
3.4
3.0
2.7
2.6
2.5
2.4
2.3
2.3
2.2
2.1
2.0
1.9
1.7
28
4.2
3.3
2.9
2.7
2.6
2.4
2.4
2.3
2.2
2.2
2.0
2.0
1.9
1.6
30
4.2
3.3
2.9
2.7
2.5
2.4
2.3
2.3
2.2
2.2
2.0
1.9
1.8
1.6
40
4.1
3.2
2.8
2.6
2.4
2.3
2.2
2.2
2.1
2.1
1.9
1.8
1.7
1.5
60
4.0
3.1
2.8
2.5
2.4
2.2
2.2
2.1
2.0
2.0
1.8
1.7
1.6
1.4
120
3.9
3.1
2.7
2.4
2.3
2.2
2.1
2.0
2.0
1.9
1.7
1.7
1.6
1.2
∞
3.8
3.0
2.6
2.4
2.2
2.1
2.0
1.9
1.9
1.8
1.7
1.6
1.5
1.0
92
Таблица 8П
Значения критерия F Фишера при уровне значимости α = 0.01
(число степеней свободы указано для дисперсии знаменателя – в строке,
для дисперсии числителя – в столбце)
df
1
df
2
1 2 3 4 5 6 7 8 9 10 15 20 30 ∞
1
4052
4999
5403
5625
5764
5859
5928
5982
6022
6056
6157
6209
6261
6366
2
98.5
99.0
99.2
99.2
99.3
99.3
99.4
99.4
99.4
99.4
99.4
99.4
99.5
99.5
3
31.4
30.8
29.5
28.7
28.4
27.9
27.7
27.5
27.3
27.2
26.9
26.7
26.5
26.1
4
21.2
18.0
16.7
16.0
15.5
15.2
15.0
14.8
14.7
14.5
14.2
14.0
13.8
13.5
5
16.3
13.3
12.1
11.4
11.0
10.7
10.5
10.3
10.2
10.0
9.7
9.5
9.4
9.0
6
13.7
10.9
9.8
9.1
8.7
8.5
8.3
8.1
8.0
7.9
7.6
7.4
7.2
6.9
7
12.3
9.5
8.5
7.8
7.5
7.2
7.0
6.8
6.7
6.6
6.3
6.2
6.0
5.6
8
11.3
8.7
7.6
7.0
6.6
6.4
6.2
6.0
5.9
5.8
5.5
5.4
5.2
4.9
9
10.6
8.0
7.0
6.4
6.1
5.8
5.6
5.5
5.3
5.3
5.0
4.8
4.6
4.3
10
10.0
7.6
6.5
6.0
5.6
5.4
5.2
5.1
4.9
4.8
4.6
4.4
4.2
3.9
11
9.7
7.2
6.2
5.7
5.3
5.1
4.9
4.7
4.6
4.5
4.2
4.1
3.9
3.6
12
9.3
6.9
5.9
5.4
5.1
4.8
4.6
4.5
4.4
4.3
4.0
3.9
3.7
3.4
13
9.1
6.7
5.7
5.2
4.9
4.6
4.4
4.3
4.2
4.1
3.8
3.7
3.5
3.2
14
8.9
6.5
5.6
5.0
4.7
4.5
4.3
4.1
4.0
3.9
3.7
3.5
3.3
3.0
15
8.7
6.4
5.4
4.9
4.6
4.3
4.1
4.0
3.9
3.8
3.5
3.4
3.2
2.9
16
8.5
6.2
5.3
4.8
4.4
4.2
4.0
3.9
3.8
3.7
3.4
3.3
3.1
2.7
17
8.4
6.1
5.2
4.7
4.3
4.1
3.9
3.8
3.7
3.6
3.3
3.2
3.0
2.6
18
8.3
6.0
5.1
4.6
4.2
4.0
3.8
3.7
3.6
3.5
3.2
3.1
2.9
2.6
19
8.2
5.9
5.0
4.5
4.2
3.9
3.8
3.6
3.5
3.4
3.1
3.0
2.8
2.5
20
8.1
5.8
4.9
4.4
4.1
3.9
3.7
3.6
3.5
3.4
3.1
2.9
2.8
2.4
21
8.0
5.8
4.9
4.4
4.0
3.8
3.6
3.5
3.4
3.3
3.0
2.9
2.7
2.4
22
7.9
5.7
4.8
4.3
4.0
3.8
3.6
3.4
3.3
3.3
3.0
2.8
2.7
2.3
23
7.9
5.7
4.8
4.3
3.9
3.7
3.5
3.4
3.3
3.2
2.9
2.7
2.6
2.3
24
7.8
5.6
4.7
4.2
3.9
3.7
3.5
3.4
3.3
3.2
2.9
2.7
2.6
2.2
26
7.7
5.5
4.6
4.1
3.8
3.6
3.4
3.3
3.2
3.1
2.8
2.7
2.5
2.1
28
7.6
5.4
4.6
4.1
3.7
3.5
3.4
3.2
3.1
3.0
2.7
2.6
2.4
2.1
30
7.6
5.4
4.5
4.0
3.7
3.5
3.3
3.2
3.1
3.0
2.7
2.5
2.4
2.0
40
7.3
5.2
4.3
3.8
3.5
3.3
3.1
3.0
2.9
2.8
2.5
2.4
2.2
1.8
60
7.1
5.0
4.1
3.6
3.3
3.1
2.9
2.8
2.7
2.6
2.3
2.2
2.0
1.6
120
6.8
4.8
3.9
3.5
3.2
3.0
2.8
2.7
2.6
2.5
2.2
2.0
1.9
1.4
∞
6.6
4.6
3.8
3.3
3.0
2.8
2.6
2.5
2.4
2.3
2.5
1.9
1.7
1.0
93
Таблица 9П
Значения критерия χ² Пирсона
Уровень значимости, α
df
0.95 0.75 0.25
0.05
0.01
1
– 0.10 1.32 3.84 6.63
2
0.10 0.58 2.77 5.99 9.21
3
0.35 1.21 4.11 7.81 11.34
4
0.71 1.92 5.39 9.49 13.28
5
1.15 2.67 6.63 11.07 15.09
6
1.64 3.45 7.84 12.59 16.81
7
2.17 4.25 9.04 14.07 18.48
8
2.73 5.07 10.22 15.51 20.09
9
3.33 5.90 11.39 16.92 21.67
10
3.94 6.74 12.55 18.31 23.21
11
4.57 7.58 13.70 19.68 24.72
12
5.23 8.44 14.85 21.03 26.22
13
5.89 9.30 15.98 22.36 27.69
14
6.57 10.17 17.12 23.68 29.14
15
7.26 11.04 18.25 25.00 30.58
16
7.96 11.91 19.37 26.30 32.00
17
8.67 12.79 20.49 27.59 33.41
18
9.39 13.68 21.60 28.87 34.81
19
10.12 14.56 22.72 30.14 36.19
20
10.85 15.45 23.83 31.41 37.57
21
11.59 16.34 24.93 32.67 38.93
22
12.34 17.24 26.04 33.92 40.29
23
13.09 18.14 27.14 35.17 41.64
24
13.85 19.04 28.24 36.42 42.98
25
14.61 19.94 29.34 37.65 44.31
26
15.38 20.84 30.43 38.89 45.64
27
16.15 21.75 31.63 40.11 46.96
28
16.93 22.66 32.62 41.34 48.28
30
18.49 24.48 34.80 43.77 50.89
40
26.51 33.66 45.62 55.76 63.69
50
34.76 42.94 56.33 67.50 76.15
60
43.19 52.29 66.98 79.08 88.38
70
51.74 61.70 77.58 90.53 100.42
80
60.39 71.14 88.13 101.88
112.33
90
69.13 80.62 98.64 113.14
124.12
100
77.93 90.13 109.14
124.34
135.81
94
Таблица 10П
Значения parcsin2=
ϕ
p, %
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
0
0.000
0.063
0.089
0.110
0.127
0.142
0.155
0.168
0.179
0.190
1
0.200
0.210
0.220
0.229
0.237
0.246
0.254
0.262
0.269
0.277
2
0.284
0.291
0.298
0.304
0.311
0.318
0.324
0.330
0.336
0.342
3
0.348
0.354
0.360
0.363
0.371
0.376
0.382
0.387
0.392
0.398
4
0.403
0.408
0.413
0.418
0.423
0.428
0.432
0.437
0.442
0.448
5
0.451
0.456
0.460
0.465
0.469
0.473
0.478
0.482
0.486
0.491
6
0.495
0.499
0.503
0.507
0.512
0.516
0.520
0.524
0.528
0.532
7
0.536
0.539
0.543
0.546
0.551
0.555
0.559
0.562
0.566
0.570
8
0.574
0.577
0.581
0.584
0.588
0.592
0.595
0.599
0.602
0.606
9
0.609
0.613
0.616
0.620
0.623
0.627
0.630
0.633
0.637
0.640
10
0.644
0.647
0.650
0.653
0.657
0.660
0.663
0.666
0.670
0.673
11
0.676
0.679
0.682
0.686
0.689
0.692
0.695
0.698
0.701
0.704
12
0.707
0.711
0.714
0.717
0.720
0.723
0.726
0.729
0.732
0.735
13
0.738
0.741
0.744
0.747
0.750
0.752
0.755
0.758
0.761
0.764
14
0.767
0.770
0.773
0.776
0.778
0.781
0.784
0.787
0.790
0.793
15
0.795
0.798
0.801
0.804
0.807
0.809
0.812
0.815
0.818
0.820
16
0.823
0.826
0.828
0.831
0.834
0.837
0.839
0.842
0.845
0.847
17
0.850
0.853
0.855
0.858
0.861
0.863
0.866
0.868
0.871
0.874
18
0.876
0.879
0.881
0.884
0.887
0.889
0.892
0.894
0.897
0.900
19
0.902
0.905
0.907
0.910
0.912
0.915
0.917
0.920
0.922
0.925
20
0.927
0.930
0.932
0.935
0.937
0.940
0.942
0.945
0.947
0.950
21
0.952
0.955
0.957
0.959
0.962
0.964
0.967
0.969
0.972
0.974
22
0.976
0.979
0.981
0.984
0.986
0.988
0.991
0.993
0.996
0.998
23
1.000
1.003
1.005
1.007
1.010
1.012
1.015
1.017
1.019
1.022
24
1.024
1.026
1.029
1.031
1.033
1.036
1.038
1.040
1.043
1.045
25
1.047
1.050
1.052
1.054
1.056
1.059
1.061
1.063
1.066
1.068
26
1.070
1.072
1.075
1.077
1.079
1.082
1.084
1.086
1.088
1.091
27
1.093
1.095
1.097
1.100
1.102
1.104
1.106
1.109
1.111
1.113
28
1.115
1.117
1.120
1.122
1.124
1.126
1.129
1.131
1.133
1.135
29
1.137
1.140
1.142
1.144
1.146
1.148
1.151
1.153
1.155
1.157
30
1.159
1.161
1.164
1.166
1.168
1.170
1.172
1.174
1.177
1.179
31
1.182
1.183
1.185
1.187
1.190
1.192
1.194
1.196
1.198
1.200
32
1.203
1.205
1.207
1.209
1.211
1.213
1.215
1.217
1.220
1.222
33
1.224
1.226
1.228
1.230
1.232
1.234
1.237
1.289
1.241
1.243
34
1.245
1.247
1.249
1.251
1.254
1.256
1.258
1.260
1.262
1.264
35
1.266
1.268
1.270
1.272
1.274
1.277
1.279
1.281
1.283
1.285
36
1.287
1.289
1.291
1.293
1.295
1.297
1.299
1.302
1.304
1.306
37
1.308
1.310
1.312
1.314
1.316
1.318
1.320
1.322
1.324
1.326
95
Продолжение табл. 10
П
Значения
parcsin2=
ϕ
p, %
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
38
1.328
1.330
1.333
1.335
1.337
1.339
1.341
1.343
1.345
1.347
39
1.349
1.351
1.353
1.355
1.357
1.359
1.361
1.363
1.365
1.367
40
1.369
1.371
1.374
1.376
1.378
1.380
1.382
1.384
1.346
1.388
41
1.390
1.392
1.394
1.396
1.398
1.400
1.402
1.404
1.406
1.408
42
1.410
1.412
1.414
1.416
1.418
1.420
1.422
1.424
1.426
1.428
43
1.430
1.432
1.434
1.436
1.438
1.440
1.442
1.444
1.446
1.448
44
1.451
1.453
1.455
1.457
1.459
1.461
1.463
1.465
1.466
1.469
45
1.471
1.473
1.475
1.477
1.479
1.481
1.483
1.485
1.487
1.489
46
1.491
1.493
1.495
1.497
1.499
1.501
1.503
1.505
1.507
1.509
47
1.511
1.513
1.515
1.517
1.519
1.521
1.523
1.525
1.527
1.529
48
1.531
1.533
1.535
1.537
1.539
1.541
1.543
1.545
1.547
1.549
49
1.551
1.553
1.555
1.557
1.559
1.561
1.563
1.565
1.567
1.569
50
1.571
1.573
1.575
1.577
1.579
1.581
1.583
1.585
1.587
1.589
51
1.591
1.593
1.595
1.597
1.599
1.601
1.603
1.605
1.607
1.609
52
1.611
1.613
1.615
1.617
1.619
1.621
1.623
1.625
1.627
1.629
53
1.631
1.633
1.635
1.637
1.639
1.641
1.643
1.645
1.647
1.649
54
1.651
1.653
1.655
1.657
1.659
1.661
1.663
1.665
1.667
1.669
55
1.671
1.673
1.675
1.677
1.679
1.681
1.683
1.685
1.687
1.689
56
1.691
1.693
1.695
1.697
1.699
1.701
1.703
1.705
1.707
1.709
57
1.711
1.713
1.715
1.717
1.719
1.721
1.723
1.725
1.727
1.729
58
1.731
1.734
1.736
1.738
1.740
1.742
1.744
1.746
1.748
1.750
59
1.752
1.754
1.756
1.758
1.760
1.762
1.764
1.766
1.768
1.770
60
1.772
1.774
1.776
1.778
1.780
1.782
1.784
1.786
1.789
1.791
61
1.793
1.795
1.797
1.799
1.801
1.803
1.805
1.807
1.809
1.811
62
1.813
1.815
1.817
1.819
1.821
1.823
1.826
1.828
1.830
1.832
63
1.834
1.836
1.838
1.840
1.842
1.844
1.846
1.848
1.850
1.853
64
1.855
1.857
1.859
1.861
1.863
1.865
1.867
1.869
1.871
1.873
65
1.875
1.878
1.880
1.882
1.884
1.886
1.888
1.890
1.892
1.894
66
1.897
1.899
1.901
1.903
1.905
1.907
1.909
1.911
1.913
1.916
67
1.918
1.920
1.922
1.924
1.926
1.928
1.930
1.933
1.935
1.937
68
1.939
1.941
1.943
1.946
1.948
1.950
1.952
1.954
1.956
1.958
69
1.961
1.963
1.965
1.967
1.969
1.971
1.974
1.976
1.978
1.980
70
1.982
1.984
1.987
1.989
1.991
1.993
1.995
1.998
2.000
2.002
71
2.004
2.006
2.009
2.011
2.013
2.015
2.018
2.020
2.022
2.024
72
2.026
2.029
2.031
2.033
2.035
2.038
2.040
2.042
2.044
2.047
73
2.049
2.051
2.053
2.056
2.058
2.060
2.062
2.065
2.067
2.069
74
2.071
2.074
2.076
2.078
2.081
2.083
2.085
2.087
2.090
2.092
75
2.094
2.097
2.099
2.101
2.104
2.106
2.108
2.111
2.113
2.115
96
Окончание табл. 10
П
Значения
parcsin2=
ϕ
p, %
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
76
2.118
2.120
2.122
2.125
2.127
2.129
2.132
2.134
2.136
2.139
77
2.141
2.144
2.146
2.148
2.151
2.153
2.156
2.158
2.160
2.163
78
2.165
2.168
2.170
2.172
2.175
2.177
2.180
2.182
2.185
2.187
79
2.190
2.192
2.194
2.197
2.199
2.202
2.204
2.207
2.209
2.212
80
2.214
2.217
2.219
2.222
2.224
2.222
2.229
2.231
2.234
2.237
81
2.240
2.242
2.245
2.247
2.250
2.262
2.255
2.258
2.260
2.263
82
2.265
2.268
2.271
2.273
2.276
2.278
2.281
2.284
2.286
2.289
83
2.292
2.294
2.297
2.300
2.302
2.305
2.308
2.310
2.313
2.316
84
2.319
2.321
2.324
2.327
2.330
2.332
2.335
2.338
2.341
2.343
85
2.346
2.349
2.352
2.355
2.357
2.360
2.363
2.366
2.369
2.372
86
2.375
2.377
2.380
2.383
2.386
2.389
2.392
2.395
2.398
2.402
87
2.404
2.407
2.410
2.413
2.416
2.419
2.422
2.425
2.428
2.431
88
2.434
2.437
2.440
2.443
2.447
2.450
2.453
2.456
2.459
2.462
89
2.465
2.469
2.472
2.475
2.478
2.482
2.485
2.488
2.491
2.495
90
2.498
2.501
2.505
2.508
2.512
2.515
2.518
2.522
2.525
2.529
91
2.532
2.536
2.539
2.543
2.546
2.550
2.554
2.557
2.561
2.564
92
2.568
2.572
2.575
2.579
2.583
2.587
2.591
2.594
2.598
2.600
93
2.606
2.610
2.614
2.618
2.622
2.626
2.630
2.634
2.638
2.642
94
2.647
2.651
2.655
2.659
2.664
2.668
2.673
2.677
2.638
2.642
95
2.691
2.695
2.700
2.705
2.709
2.714
2.719
2.724
2.729
2.734
96
2.739
2.744
2.749
2.754
2.760
2.765
2.771
2.776
2.782
2.788
97
2.793
2.799
2.805
2.811
2.818
2.824
2.830
2.837
2.844
2.851
98
2.858
2.865
2.872
2.880
2.888
2.896
2.904
2.913
2.922
2.931
99
2.941
2.952
2.963
2.974
2.987
3.000
3.015
3.032
3.052
3.078
100
3.142
Таблица 11П
Значения критерия U Уилкоксона – Манна – Уитни
Уровень значимости α = 0.05
Уровень значимости α = 0.01
n
4 5 6 7 8 9 10
n
4 5 6 7 8 9 10
4
10
11
12
13
14
15
15
4
10
10
11
11
12
5
17
18
20
21
22
23
5
15
16
17
17
18
19
6
26
27
29
31
32
6
23
24
25
23
27
7
36
38
40
42
7
32
34
35
37
8
49
51
53
8
43
45
47
9
63
65
9
56
58
10
78
10
71
97
Таблица 12П
Значения критерия Q Розенбаума
n
1
n
2
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
Уровень значимости α = 0.05
11
6
12
6 6
13
6 6 6
14
7 7 6 6
15
7 7 6 6 6
16
7 7 7 7 6 6
17
7 7 7 7 7 7 7
18
7 7 7 7 7 7 7 7
19
7 7 7 7 7 7 7 7 7
20
7 7 7 7 7 7 7 7 7 7
21
8 7 7 7 7 7 7 7 7 7 7
22
8 7 7 7 7 7 7 7 7 7 7 7
23
8 8 7 7 7 7 7 7 7 7 7 7 7
24
8 8 8 8 8 8 8 8 8 8 7 7 7 7
25
8 8 8 8 8 8 8 8 8 8 7 7 7 7 7
26
8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7
Уровень значимости α = 0.01
11
9
12
9 9
13
9 9 9
14
9 9 9 9
15
9 9 9 9 9
16
9 9 9 9 9 9
17
10
9 9 9 9 9 9
18
10
10
9 9 9 9 9 9
19
10
10
10
9 9 9 9 9 9
20
10
10
10
10
9 9 9 9 9 9
21
11
10
10
10
9 9 9 9 9 9 9
22
11
11
10
10
10
9 9 9 9 9 9 9
23
11
11
10
10
10
10
9 9 9 9 9 9 9
24
12
11
11
10
10
10
10
9 9 9 9 9 9 9
25
12
11
11
10
10
10
10
10
9 9 9 9 9 9 9
26
12
12
11
11
10
10
10
10
10
9 9 9 9 9 9 9