Главная страница
Случайная страница
КАТЕГОРИИ:
АвтомобилиАстрономияБиологияГеографияДом и садДругие языкиДругоеИнформатикаИсторияКультураЛитератураЛогикаМатематикаМедицинаМеталлургияМеханикаОбразованиеОхрана трудаПедагогикаПолитикаПравоПсихологияРелигияРиторикаСоциологияСпортСтроительствоТехнологияТуризмФизикаФилософияФинансыХимияЧерчениеЭкологияЭкономикаЭлектроника
|
ПРИЛОЖЕНИЯ 2 страница
Приложение 7 Критические точки распределения F Фишера—Снедекора
(k 1 — число степеней свободы большей дисперсии, k 2 — число степеней свободы меньшей дисперсии)
Уровень значимости а=0, 01
| | k 2
| k 1
| |
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
| |
| 98, 49
| 99, 0)
| 99, 17
| 99, 25
| 99, 30
| 99, 33
| 99, 34
| 99, 36
| 99, 38
| 99, 40
| 99, 41
| 99, 42
| |
| 34, 12
| 30, 81
| 29, 46
| 28, 71
| 28, 24
| 27, 91
| 27, 67
| 27, 49
| 27, 34
| 27, 23
| 27, 13
| 27, 05
| |
| 21, 20
| 18, 00
| 16, 69
| 15, 98
| 15, 52
| 15, 21
| 14, 98
| 14, 80
| 14, 66
| 14, 54
| 14, 45
| 14, 37
| |
| 16, 26
| 13, 27
| 12, 06
| 11, 39
| 10, 97
| 10, 67
| 10, 45
| 10, 27
| 10, 15
| 10, 05
| 9, 96
| 9, 89
| |
| 13, 74
| 10, 92
| 9, 78
| 9, 15
| 8, 75
| 8, 47
| 8, 26
| 8, 10
| 7, 98
| 7, 87
| 7, 79
| 7, 72
| |
| 12, 25
| 9, 55
| 8, 45
| 7, 85
| 7, 46
| 7, 19
| 7, 00
| 6, 84
| 6, 71
| 6, 62
| 6, 54
| 6, 47
| |
| 11, 26
| 8, 65
| 7, 59
| 7, 01
| 6, 63
| 6, 37
| 6, 19
| 6, 03
| 5, 91
| 5, 82
| 5, 74
| 5, 67
| |
| 10, 56
| 8, 02
| 6, 99
| 6, 42
| 6, 06
| 5, 80
| 5, 62
| 5, 47
| 5, 35
| 5, 26
| 5, 18
| 5, 11
| |
| 10, 04
| 7, 56
| 6, 55
| 5, 99
| 5, 64
| 5, 39
| 5, 21
| 5, 06
| 4, 95
| 4, 85
| 4, 78
| 4, 71
| |
| 9, 86
| 7, 20
| 6, 22
| 5, 67
| 5, 32
| 5, 07
| 4, 88
| 4, 74
| 4, 63
| 4, 54
| 4, 46
| 4, 40
| |
| 9, 33
| 6, 93
| 5, 95
| 5, 41
| 5, 06
| 4, 82
| 4, 65
| 4, 50
| 4, 39
| 4, 30
| 4, 22
| 4, 16
| |
| 9, 07
| 6, 70
| 5, 74
| 5, 20
| 4, 86
| 4, 62
| 4, 44
| 4, 30
| 4, 19
| 4, 10
| 4, 02
| 3, 96
| |
| 8, 86
| 6, 51
| 5, 56
| 5, 03
| 4, 69
| 4, 46
| 4, 28
| 4, 14
| 4, 03
| 3, 94
| 3, 86
| 3, 80
| |
| 8, 68
| 6, 36
| 5, 42
| 4, 8S
| 4, 56
| 4, 32
| 4, 14
| 4, 00
| 3, 89
| 3, 80
| 3, 73
| 3, 67
| |
| 8, 53
| 6, 23
| 5, 29
| 4, 77
| 4, 44
| 4, 20
| 4, 03
| 3, 89
| 3, 78
| 3, 69
| 3, 61
| 3, 55
| |
| 8, 40
| 6, 11
| 5, 18
| 4, 67
| 4, 34
| 4, 10
| 3, 93
| 3, 79
| 3, 68
| 3, 59
| 3, 52
| 3, 45
| | Уровень значимости а=0, 05
| k 2
| k 1
| l
|
|
|
|
|
|
|
| 9 1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 18, 51
| 19, 00
| 19, 16
| 19, 25
| 19, 30
| 19, 33
| 19, 36
| 19, 37
| 19, 38
| 19, 39
| 19, 40
| 19, 41
|
| 10, 13
| 9, 55
| 9, 28
| 9, 12
| 9, 01
| 8, 94
| 8, 88
| 8, 84
| 8, 81
| 8, 78
| 8, 76
| 8, 74
|
| 7, 71
| 6, 94
| 6, 59
| 6, 39
| 6, 26
| 6, 16
| 6, 09
| 6, 04
| 6, 00
| 5, 96
| 5, 93
| 5, 91
|
| 6, 61
| 5, 79
| 5, 41
| 5, 19
| 5, 05
| 4, 95
| 4, 88
| 4, 82
| 4, 78
| 4, 74
| 4, 70
| 4, 68
|
| 5, 99
| 5, 14
| 4, 76
| 4, 53
| 4, 39
| 4, 28
| 4, 21
| 4, 15
| 4, 10
| 4, 06
| 4, 03
| 4, 00
|
| 5, 59
| 4, 74
| 4, 35
| 4, 12
| 3, 97
| 3, 87
| 3, 79
| 3, 73
| 3, 68
| 3, 63
| 3, 60
| 3, 57
|
| 5, 32
| 4, 45
| 4, 07
| 3, 84
| 3, 69
| 3, 58
| 3, 50
| 3, 44
| 3, 39
| 3, 34
| 3, 31
| 3, 28
|
| 5, 12
| 4, 26
| 3, 86
| 3, 63
| 3, 48
| 3, 37
| 3, 29
| 3, 23
| 3, 18
| 3, 13
| 3, 10
| 3, 07
|
| 4, 96
| 4, 10
| 3, 71
| 3, 48
| 3, 33
| 3, 22
| 3, 14
| 3, 07
| 3, 02
| 2, 97
| 2, 94
| 2, 91
|
| 4, 84
| 3, 98
| 3, 59
| 3, 36
| 3, 20
| 3, 09
| 3, 01
| 2, 95
| 2, 90
| 2, 86
| 2, 82
| 2, 79
|
| 4, 75
| 3, 88
| 3, 49
| 3, 26
| 3, 11
| 3, 00
| 2, 92
| 2, 85
| 2, 80
| 2, 76
| 2, 72
| 2, 69
|
| 4, 67
| 3, 80
| 3, 41
| 3, 18
| 3, 02
| 2, 92
| 2, 84
| 2, 77
| 2, 72
| 2, 67
| 2, 63
| 2, 60
|
| 4, 60
| 3, 74
| 3, 34
| 3, 11
| 2, 96
| 2, 85
| 2, 77
| 2, 70
| 2, 65
| 2, 60
| 2, 56
| 2, 53
|
| 4, 54
| 3, 68
| 3, 29
| 3, 06
| 2, 90
| 2, 79
|
| 2, 64
| 2, 59
| 2, 55
| 2, 5!
| 2, 48
|
| 4, 49
| 3, 63
| 3, 24
| 3, 01
| 2, 85
| 2, 74
| 2, 66
| 2, 59
| 2, 54
| 2, 49
| 2, 45
| 2, 42
|
| 4, 45
| 3, 59
| 3, 20
| 2, 96
| 2, 81
| 2, 70
| 2, 62
| 2, 55
| 2, 50
| 2, 45
| 2, 41
| 2, 38
|
Приложение 8 Критические точки распределения Кочрена (k— число степеней свободы, l —количество выборок)
Уровень значимости α =0, 01
| l
| k
|
|
|
|
|
|
|
|
| 0, 9999
| 0, 9950
| 0, 9794
| 0, 9586
| 0, 9373
| 0, 9172
| 0, 8988
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| , 6129
|
| 0, 9279
| 0, 7885
| 0, 6957
| 0, 6329
| 0, 5875
| 0, 5531
| 0, 5259
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 0, 7945
| 0, 6152
| 0, 5209
| 0, 4627
| 0, 4226
| 0, 3932
| 0, 3704
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 0, 6528
| 0, 4751
| 0, 3919
| 0, 3428
| 0, 3099
| 0, 2861
| 0, 2680
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 0, 4247
| 0, 2871
| 0, 2295
| 0, 1970
| 0, 1759
| 0, 1608
| 0, 1495
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 0, 2151
| 0, 1371
| 0, 1069
| 0, 0902
| 0, 0796
| 0, 0722
| 0, 0668
|
|
| - 0759
|
|
|
|
|
| ∞
|
|
|
|
|
|
|
| Уровень значимости α =0, 01
| | l
| k
| |
|
|
|
|
|
| ∞
| |
| 0, 8823
| 0, 8674
| 0, 8539
| 0, 7949
| 0, 7067
| 0, 6062
| 0, 5000
| |
|
|
|
| G059
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 5037
| 0, 4854
| 0, 4697
| 0, 4094
| 0, 3351
| 0, 2644
| 0, 2000
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 3522
| 0, 3373
| 0, 3248
| 0, 2779
| 0, 2214
| 0, 1700
| 0, 1250
| | 9
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 2535
| 0, 2419
| 0, 2320
| 0, 1961
| 0, 1535
| 0, 1157
| 0, 0833
| |
|
|
|
|
|
|
|
| |
|
|
|
|
| 09GO
|
|
| |
| 0, 1406
| 0, 1338
| 0, 1283
| 0, 1060
| 0, 0810
| 0, 0595
| 0, 0417
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 0625
| 0, 0594
| 0, 0537
| 0, 0461
| 0, 0344
| 0, 0245
| 0, 0167
| |
|
|
|
|
|
|
|
| | ∞
|
|
|
|
|
|
|
| | Уровень значимости α =0, 05
| | l
| k
| |
|
|
|
|
|
|
| | 2
| 0, 9985
| 0, 9750
| 0, 9392
| 0, 9057
| 0, 8772
| 0, 8534
| 0, 8332
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
| 0, 5598
|
| |
| 0, 8412
| 0, 6338
| 0, 5981
| 0, 5440
| 0, 5063
|
| 0, 4564
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 6798
| 0, 5157
| 0, 4377
| 0, 3910
| 0, 3595
| 0, 3362
| 0, 3185
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 5410
| 0, 3924
| 0, 3624
| 0, 2880
| 0, 2624
| 0, 2439
| 0, 2299
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 3434
| 0, 2354
| 0, 1907
| 0, 1656
| 0, 1493
| 0, 1374
| 0, 1286
| |
|
|
|
|
|
|
|
| |
|
|
|
| 10S2
|
|
|
| |
| 0, 1737
| 0, 1131
| 0, 0895
| 0, 0765
| 0, 0682
| 0, 0623
| 0, 0583
| |
|
|
|
|
|
|
|
| | ∞
|
|
|
|
|
|
|
| | Уровень значимости α =0, 05
| | l
| k
| |
|
|
|
|
|
| ∞
| |
| 0, 8159
| 0, 8010
| 0, 7880
| 0, 7341
| 0, 6602
| 0, 5813
| 0, 5000
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 4387
| 0, 4241
| 0, 4118
| 0, 3645
| 0, 3066
| 0, 2013
| 0, 2000
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 3043
| 0, 2926
| 0, 2829
| 0, 2462
| 0, 2022
| 0, 1616
| 0, 1250
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 2187
| 0, 2098
| 0, 2020
| 0, 1737
| 0, 1403
| 0, 1100
| 0, 0833
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 1216
| 0, 1160
| 0, 1113
| 0, 0942
| 0, 0743
| 0, 0567
| 0, 0417
| |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| |
| 0, 0552
| 0, 0520
| 0, 0497
| 0, 0411
| 0, 0316
| 0, 0234
| 0, 0167
| |
|
|
|
|
|
|
|
| | ∞
|
|
|
|
|
|
|
| |
Приложение 9
Равномерно распределенные случайные числа
10 09 73 25 33
37 54 20 48 05
08 42 26 89 53
99 01 90 25 29
12 80 79 99 70
| 76 52 01 35 86
64 89 47 42 96
19 64 50 93 03
09 37 67 07 15
80 15 73 61 47
| 34 67 35 48 76
24 80 52 40 37
23 20 90 25 60
38 31 13 11 65
64 03 23 66 53
| 80 95 90 91 17
20 63 61 04 02
15 95 33 47 64
88 67 67 43 97
98 95 11 68 77
| 66 06 57 47 17
31 06 01 08 05
85 26 97 76 02
63 57 33 21 35
73 79 64 57 53
| 34 07 27 68 50
45 57 18 24 06
02 05 16 56 92
05 32 54 70 48
03 52 96 47 78
| 36 69 73 61 70
35 30 34 26 14
68 66 57 48 18
90 55 35 75 48
35 80 83 42 82
| 65 81 33 98 85
86 79 90 74 39
73 05 38 52 47
28 46 82 87 09
60 93 52 03 44
| 98 52 01 77 67
11 80 50 54 31
83 45 29 96 34
88 68 54 02 00 9959467348
| 14 90 56 86 07
39 80 82 77 32
06 28 89 80 83
86 50 75 84 01
87 51 76 49 69
| 22 10 94 05 58
50 72 56 82 48
13 74 67 00 78
36 76 66 79 51
91 82 60 89 28
| 60 97 09 34 33
29 40 52 42 01
18 47 54 06 10
90 36 47 64 93
93 78 56 13 68
| 65 48 11 76 74
80 12 43 56 35
74 35 09 98 17
69 91 62 68 03
09 89 32 05 05
| 17 46 85 09 50
17 72 70 80 15
77 40 27 72 14
66 25 22 91 48
14 22 56 85 14
| 58 04 77 69 74
45 31 82 23 74
43 23 60 02 10
36 93 68 72 03
46 42 75 67 88
| 73 03 95 71 86
21 11 57 82 53
45 52 16 42 37
76 62 11 39 90
96 29 77 88 22
| 91 49 91 45 23
80 33 69 45 98
44 10 48 19 49
12 55 07 37 42
63 60 64 93 29
| 68 47 92 76 86
26 94 03 68 58
85 15 74 79 54
11 10 00 20 40
16 50 53 44 84
| 45 16 28 35 54
70 29 73 41 35
32 97 92 65 75
12 86 07 46 97
40 21 95 25 63
| 94 75 08 99 23
53 14 03 33 40
57 60 04 08 81
96 64 48 94 39
43 65 17 70 82
| 61 19 69 04 46
15 47 44 52 66
94 55 72 85 73
42 48 11 62 13
23 52 37 83 17
| 26 45 74 77 74
95 27 07 99 53
67 89 75 43 87
97 34 40 87 21
73 20 88 98 37
| 51 92 43 37 29
59 36 78 38 48
54 62 24 44 31
16 86 84 87 67
68 93 59 14 16
| 65 39 45 95 93
82 39 61 01 18
91 19 04 25 92
03 07 11 20 59
26 25 22 96 63
| 04 49 35 24 94
00 54 99 76 54
35 96 31 53 07
59 80 80 83 91
46 05 88 52 36
| 75 24 63 38 24
64 05 18 81 59
26 89 80 93 54
45 42 72 68 42
01 39 09 22 86
| 45 86 25 10 25
96 11 96 38 96
33 35 13 54 62
83 60 94 97 00
77 28 14 40 77
| 61 96 27 93 35
54 69 28 23 91
77 97 45 00 24
13 02 12 48 92
93 91 08 36 47
| 32 17 90 05 97
69 23 46 14 06
19 56 54 14 30
45 15 51 49 38
94 86 43 19 94
| 87 37 92 52 41
20 11 74 52 04
01 75 87 53 79
19 47 60 72 46
36 16 81 08 51
| 05 56 70 70 07
15 95 66 00 00
40 41 92 15 85
43 66 79 45 43
34 88 88 15 53
| 86 74 31 71 57
18 74 39 24 23
66 67 43 68 06
59 04 79 00 33
01 54 03 54 56
| 98 08 62 48 26
33 18 51 62 32
80 95 10 04 06
79 75 24 91 40
18 63 33 25 37
| 45 24 02 84 04
41 94 15 09 49
96 38 27 07 74
71 96 12 82 96
98 14 50 65 71
| 44 99 90 88 96
89 43 54 85 81
20 15 12 33 87
69 86 10 25 91
31 01 02 46 74
| 39 09 47 34 07
88 69 54 19 94
25 01 62 52 98
74 85 22 05 39
05 45 56 14 27
| 74 02 94 39 02
54 17 84 58 11
11 66 44 98 83
48 32 47 79 28
69 07 49 41 38
| 77 55 73 22 70
80 99 33 71 43
52 07 98 48 27
31 24 96 47 10
87 63 79 19 76
| 97 79 01 71 19
05 33 51 29 69
59 38 17 15 39
02 29 53 68 70
35 58 40 44 01
| 52 52 75 80 21
56 12 71 92 55
09 97 33 34 40
32 30 75 75 46
10 51 82 16 15
| Приложение 10
|