Володин И.Н. Лекции по теории вероятностей и математической статистике. - Казань: (Издательство), 2006. - 271с.
Геворкян П.С., Потемкин А.В., Эйсымонт И.М. Теория вероятностей и математическая статистика, М.: «Экономика». 2012.
Гмурман В. Е. Теория вероятностей и математическая статистика: учебное пособие для вузов / В. Е. Гмурман. - М., 2006. - 478 с.: ил.
5. Губин В. И., Осташков В. Н. Статистические методы обработки экспериментальных данных: Учеб. пособие для студентов технических вузов. - Тюмень: Изд-во «ТюмГНГУ», 2007. - 202 с.
Ефимова М. Р., Петрова Е. В., Румянцев В. Н. Общая теория статистики: Учебник. - 2-е изд., доп. и перераб. - М.: Инфра-М, 2010. - 416 с.
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Приложения
Приложение 1
Таблица значений tg = t(g, n)
|
|
|
| 0, 95
| 0, 99
| 0, 999
| 0, 95
| 0, 99
| 0, 999
|
| 2, 78
| 4, 60
| 8, 61
|
| 2, 093
| 2, 361
| 3, 883
|
| 2, 57
| 4, 03
| 6, 86
|
| 2, 064
| 2, 797
| 3, 745
|
| 2, 45
| 3, 71
| 5, 96
|
| 2, 045
| 2, 756
| 3, 659
|
| 2, 37
| 3, 50
| 5, 41
|
| 2, 032
| 2, 720
| 3, 600
|
| 2, 31
| 3, 36
| 5.04
|
| 2, 023
| 2, 708
| 3, 558
|
| 2, 26
| 3, 25
| 4, 78
|
| 2, 016
| 2, 692
| 3, 527
|
| 2, 23
| 3, 17
| 4, 59
|
| 2, 009
| 2, 679
| 3, 502
|
| 2, 20
| 3, 11
| 4, 44
|
| 2, 001
| 2, 662
| 3, 464
|
| 2, 18
| 3, 06
| 4, 32
|
| 1, 996
| 2, 649
| 3, 439
|
| 2, 16
| 3, 01
| 4, 22
|
| 1, 001
| 2, 640
| 3, 418
|
| 2, 15
| 2, 98
| 4, 14
|
| 1, 987
| 2, 633
| 3, 403
|
| 2, 13
| 2, 95
| 4, 07
|
| 1, 984
| 2, 627
| 3, 392
|
| 2, 12
| 2, 92
| 4, 02
|
| 1, 980
| 2, 617
| 3, 374
|
| 2, 11
| 2, 90
| 3, 97
| ¥
| 1, 960
| 2, 576
| 3, 291
|
| 2, 10
| 2, 88
| 3, 92
|
|
|
|
|
Приложение 2
Таблица значений qg = q(g, n)
|
|
|
| 0, 95
| 0, 99
| 0, 999
| 0, 95
| 0, 99
| 0, 999
|
| 1, 37
| 2, 67
| 5, 64
|
| 0, 37
| 0, 58
| 0, 88
|
| 1, 09
| 2, 01
| 3, 88
|
| 0, 32
| 0, 49
| 0, 73
|
| 0, 92
| 1, 62
| 2, 98
|
| 0, 28
| 0, 43
| 0, 63
|
| 0, 80
| 1, 38
| 2, 42
|
| 0, 26
| 0, 38
| 0, 56
|
| 0, 71
| 1, 20
| 2, 06
|
| 0, 24
| 0, 35
| 0, 50
|
| 0, 65
| 1, 08
| 1, 80
|
| 0, 22
| 0, 32
| 0, 46
|
| 0, 59
| 0, 98
| 1, 60
|
| 0, 21
| 0, 30
| 0, 43
|
| 0, 55
| 0, 90
| 1, 45
|
| 0, 188
| 0, 269
| 0, 38
|
| 0, 52
| 0, 83
| 1, 33
|
| 0, 174
| 0, 245
| 0, 34
|
| 0, 48
| 0, 78
| 1, 23
|
| 0, 161
| 0, 226
| 0, 31
|
| 0, 46
| 0, 73
| 1, 15
|
| 0, 151
| 0, 211
| 0, 29
|
| 0, 44
| 0, 70
| 1, 07
|
| 0, 143
| 0, 198
| 0, 27
|
| 0, 42
| 0, 66
| 1, 01
|
| 0, 115
| 0, 160
| 0, 211
|
| 0, 40
| 0, 63
| 0, 96
|
| 0, 099
| 0, 136
| 0, 185
|
| 0, 39
| 0, 60
| 0, 92
|
| 0, 089
| 0, 120
| 0, 162
|
Приложение 3
Таблица значений функции
(ординаты нормальной кривой)
x
| Сотые доли x
|
|
|
|
|
|
|
|
|
|
| 0, 0
| 0, 3989
|
|
|
|
|
|
|
|
|
| 0, 1
| 0, 3970
|
|
|
|
|
|
|
|
|
| 0, 2
| 0, 3910
|
|
|
|
|
|
|
|
|
| 0, 3
| 0, 3814
|
|
|
|
|
|
|
|
|
| 0, 4
| 0, 3683
|
|
|
|
|
|
|
|
|
| 0, 5
| 0, 3521
|
|
|
|
|
|
|
|
|
| 0, 6
| 0, 3332
|
|
|
|
|
|
|
|
|
| 0, 7
| 0, 3123
|
|
|
|
|
|
|
|
|
| 0, 8
| 0, 2897
|
|
|
|
|
|
|
|
|
| 0, 9
| 0, 2661
|
|
|
|
|
|
|
|
|
| 1, 0
| 0, 2420
|
|
|
|
|
|
|
|
|
| 1, 1
| 0, 2179
|
|
|
|
|
|
|
|
|
| 1, 2
| 0, 1942
|
|
|
|
|
|
|
|
|
| 1, 3
| 0, 1714
|
|
|
|
|
|
|
|
|
| 1, 4
| 0, 1497
|
|
|
|
|
|
|
|
|
| 1, 5
| 0, 1295
|
|
|
|
|
|
|
|
|
| 1, 6
| 0, 1109
|
|
|
|
|
|
|
|
|
| 1, 7
| 0, 0940
|
|
|
|
|
|
|
|
|
| 1, 8
| 0, 0790
|
|
|
|
|
|
|
|
|
| 1, 9
| 0, 0656
|
|
|
|
|
|
|
|
|
| 2, 0
| 0, 0540
|
|
|
|
|
|
|
|
|
| 2, 1
| 0, 0440
|
|
|
|
|
|
|
|
|
| 2, 2
| 0, 0355
|
|
|
|
|
|
|
|
|
| 2, 3
| 0, 0283
|
|
|
|
|
|
|
|
|
| 2, 4
| 0, 0224
|
|
|
|
|
|
|
|
|
| 2, 5
| 0, 0175
|
|
|
|
|
|
|
|
|
| 2, 6
| 0, 0136
|
|
|
|
|
|
|
|
|
| 2, 7
| 0, 0104
|
|
|
|
|
|
|
|
|
| 2, 8
| 0, 0079
|
|
|
|
|
|
|
|
|
| 2, 9
| 0, 0060
|
|
|
|
|
|
|
|
|
| 3, 0
| 0, 0044
|
|
|
|
|
|
|
|
|
| 3, 1
| 0, 0033
|
|
|
|
|
|
|
|
|
| 3, 2
| 0, 0024
|
|
|
|
|
|
|
|
|
| 3, 3
| 0, 0017
|
|
|
|
|
|
|
|
|
| 3, 4
| 0, 0012
|
|
|
|
|
|
|
|
|
| 3, 5
| 0, 0009
|
|
|
|
|
|
|
|
|
| 3, 6
| 0, 0006
|
|
|
|
|
|
|
|
|
| 3, 7
| 0, 0004
|
|
|
|
|
|
|
|
|
| 3, 8
| 0, 0003
|
|
|
|
|
|
|
|
|
| 3, 9
| 0, 0002
|
|
|
|
|
|
|
|
|
| 4, 0
| 0, 0001
|
|
|
|
|
|
|
|
|
| Приложение 4
Таблица критических значений распределения c2 – критерия Пирсона
Число степеней свободы
| Уровень значимости
| 0, 01
| 0, 025
| 0, 05
| 0, 95
| 0, 975
| 0, 99
|
| 6, 635
| 5, 024
| 3, 841
| 0, 0039
| 0, 00098
| 0, 00016
|
| 9, 211
| 7, 378
| 5, 991
| 0, 106
| 0, 051
| 0, 020
|
| 11, 345
| 9, 348
| 7, 815
| 0, 352
| 0, 216
| 0, 115
|
| 13, 277
| 11, 143
| 9, 488
| 0, 711
| 0, 484
| 0, 297
|
| 15, 086
| 12, 833
| 11, 071
| 1, 145
| 0, 831
| 0, 554
|
| 16, 812
| 14, 449
| 12, 592
| 1, 635
| 1, 237
| 0, 872
|
| 18, 475
| 16, 013
| 14, 067
| 2, 167
| 1, 690
| 1, 239
|
| 20, 090
| 17, 535
| 15, 507
| 2, 733
| 2, 180
| 1, 646
|
| 21, 666
| 19, 023
| 16, 919
| 3, 325
| 2, 700
| 2, 088
|
| 23, 209
| 20, 483
| 18, 307
| 3, 940
| 3, 247
| 2, 558
|
| 24, 725
| 21, 920
| 19, 675
| 4, 575
| 3, 816
| 3, 053
|
| 26, 217
| 23, 337
| 21, 026
| 5, 226
| 4, 404
| 3, 571
|
| 27, 688
| 24, 736
| 22, 362
| 5, 892
| 5, 009
| 4, 107
|
| 29, 141
| 26, 119
| 23, 685
| 6, 571
| 5, 629
| 4, 660
|
| 30, 578
| 27, 488
| 24, 996
| 7, 261
| 6, 262
| 5, 229
|
| 31, 000
| 28, 845
| 26, 296
| 7, 962
| 6, 908
| 5, 812
|
| 33, 409
| 30, 191
| 27, 587
| 8, 672
| 7, 564
| 6, 408
|
| 34, 805
| 31, 526
| 28, 869
| 9, 390
| 8, 231
| 7, 015
|
| 36, 191
| 32, 852
| 30, 144
| 10, 117
| 8, 907
| 7, 633
|
| 37, 566
| 34, 170
| 31, 410
| 10, 851
| 9, 591
| 8, 260
|
| 38, 932
| 35, 479
| 32, 671
| 11, 591
| 10, 283
| 8, 897
|
| 40, 289
| 36, 781
| 33, 924
| 12, 338
| 10, 982
| 9, 542
|
| 41, 638
| 38, 076
| 35, 172
| 13, 091
| 11, 689
| 10, 196
|
| 42, 980
| 39, 364
| 36, 415
| 13, 848
| 12, 401
| 10, 856
|
| 44, 314
| 40, 646
| 37, 652
| 14, 611
| 13, 120
| 11, 524
|
| 45, 642
| 41, 923
| 38, 885
| 15, 379
| 13, 844
| 12, 198
|
| 46, 963
| 43, 195
| 40, 113
| 16, 151
| 14, 573
| 12, 879
|
| 48, 278
| 44, 461
| 41, 337
| 16, 928
| 15, 308
| 13, 565
|
| 49, 588
| 45, 722
| 42, 557
| 17, 708
| 16, 047
| 14, 256
|
| 50, 892
| 46, 979
| 43, 773
| 18, 493
| 16, 791
| 14, 953
|
| 52, 191
| 48, 232
| 44, 985
| 19, 281
| 17, 539
| 15, 655
|
| 53, 486
| 49, 480
| 46, 194
| 20, 072
| 18, 291
| 16, 362
|
| 54, 776
| 50, 725
| 47, 400
| 20, 867
| 19, 047
| 17, 074
|
| 56, 061
| 51, 966
| 48, 602
| 21, 664
| 19, 806
| 17, 789
|
| 57, 342
| 53, 203
| 49, 802
| 22, 465
| 20, 569
| 18, 509
|
| 58, 619
| 54, 437
| 50, 998
| 23, 269
| 21, 336
| 19, 233
|
| 59, 893
| 55, 668
| 52, 192
| 24, 075
| 22, 106
| 19, 960
|
| 61, 162
| 56, 896
| 53, 384
| 24, 884
| 22, 878
| 20, 691
|
| 62, 428
| 58, 120
| 54, 572
| 25, 695
| 23, 654
| 21, 426
|
| 63, 691
| 59, 342
| 55, 758
| 26, 509
| 24, 433
| 22, 164
|
| 64, 950
| 60, 561
| 56, 942
| 27, 326
| 25, 215
| 22, 906
|
| 66, 206
| 61, 777
| 58, 124
| 28, 144
| 25, 999
| 23, 650
|
| 67, 459
| 62, 990
| 59, 304
| 28, 965
| 26, 785
| 24, 398
|
| 68, 710
| 64, 201
| 60, 481
| 29, 787
| 27, 575
| 25, 148
|
| 69, 957
| 65, 410
| 61, 656
| 30, 612
| 28, 366
| 25, 901
| Приложение 5
Таблица критических точек распределения Стьюдента
Число степеней свободы k
| Уровень значимости a (двусторонняя критическая область)
| 0, 10
| 0, 05
| 0, 02
| 0, 01
| 0, 002
| 0, 001
|
| 6, 3138
| 12, 7062
| 31, 8205
| 63, 6567
| 318, 3088
| 636, 6192
|
| 2, 9200
| 4, 3027
| 6, 9646
| 9, 9248
| 22, 3271
| 31, 5991
|
| 2, 3534
| 3, 1824
| 4, 5407
| 5, 8409
| 10, 2145
| 12, 9240
|
| 2, 1318
| 2, 7764
| 3, 7469
| 4, 6041
| 7, 1732
| 8, 6103
|
| 2, 0150
| 2, 5706
| 3, 3649
| 4, 0321
| 5, 8934
| 6, 8688
|
| 1, 9432
| 2, 4469
| 3, 1427
| 3, 7074
| 5, 2076
| 5, 9588
|
| 1, 8946
| 2, 3646
| 2, 9980
| 3, 4995
| 4, 7853
| 5, 4079
|
| 1, 8595
| 2, 3060
| 2, 8965
| 3, 3554
| 4, 5008
| 5, 0413
|
| 1, 8331
| 2, 2622
| 2, 8214
| 3, 2498
| 4, 2968
| 4, 7809
|
| 1, 8125
| 2, 2281
| 2, 7638
| 3, 1693
| 4, 1437
| 4, 5869
|
| 1, 7959
| 2, 2010
| 2, 7181
| 3, 1058
| 4, 0247
| 4, 4370
|
| 1, 7823
| 2, 1788
| 2, 6810
| 3, 0545
| 3, 9296
| 4, 3178
|
| 1, 7709
| 2, 1604
| 2, 6503
| 3, 0123
| 3, 8520
| 4, 2208
|
| 1, 7613
| 2, 1448
| 2, 6245
| 2, 9768
| 3, 7874
| 4, 1405
|
| 1, 7531
| 2, 1314
| 2, 6025
| 2, 9467
| 3, 7328
| 4, 0728
|
| 1, 7459
| 2, 1199
| 2, 5835
| 2, 9208
| 3, 6862
| 4, 0150
|
| 1, 7396
| 2, 1098
| 2, 5669
| 2, 8982
| 3, 6458
| 3, 9651
|
| 1, 7341
| 2, 1009
| 2, 5524
| 2, 8784
| 3, 6105
| 3, 9216
|
| 1, 7291
| 2, 0930
| 2, 5395
| 2, 8609
| 3, 5794
| 3, 8834
|
| 1, 7247
| 2, 0860
| 2, 5280
| 2, 8453
| 3, 5518
| 3, 8495
|
| 1, 7207
| 2, 0796
| 2, 5176
| 2, 8314
| 3, 5272
| 3, 8193
|
| 1, 7171
| 2, 0739
| 2, 5083
| 2, 8188
| 3, 5050
| 3, 7921
|
| 1, 7139
| 2, 0687
| 2, 4999
| 2, 8073
| 3, 4850
| 3, 7676
|
| 1, 7109
| 2, 0639
| 2, 4922
| 2, 7969
| 3, 4668
| 3, 7454
|
| 1, 7081
| 2, 0595
| 2, 4851
| 2, 7874
| 3, 4502
| 3, 7251
|
| 1, 7056
| 2, 0555
| 2, 4786
| 2, 7787
| 3, 4350
| 3, 7066
|
| 1, 7033
| 2, 0518
| 2, 4727
| 2, 7707
| 3, 4210
| 3, 6896
|
| 1, 7011
| 2, 0484
| 2, 4671
| 2, 7633
| 3, 4082
| 3, 6739
|
| 1, 6991
| 2, 0452
| 2, 4620
| 2, 7564
| 3, 3962
| 3, 6594
|
| 1, 6973
| 2, 0423
| 2, 4573
| 2, 7500
| 3, 3852
| 3, 6460
|
| 1, 6839
| 2, 0211
| 2, 4233
| 2, 7045
| 3, 3069
| 3, 5510
|
| 1, 6759
| 2, 0086
| 2, 4033
| 2, 6778
| 3, 2614
| 3, 4960
|
| 1, 6706
| 2, 0003
| 2, 3901
| 2, 6603
| 3, 2317
| 3, 4602
|
| 1, 6669
| 1, 9944
| 2, 3808
| 2, 6479
| 3, 2108
| 3, 4350
|
| 1, 6641
| 1, 9901
| 2, 3739
| 2, 6387
| 3, 1953
| 3, 4163
|
| 1, 6620
| 1, 9867
| 2, 3685
| 2, 6316
| 3, 1833
| 3, 4019
|
| 1, 6602
| 1, 9840
| 2, 3642
| 2, 6259
| 3, 1737
| 3, 3905
|
| 1, 6588
| 1, 9818
| 2, 3607
| 2, 6213
| 3, 1660
| 3, 3812
|
| 1, 6577
| 1, 9799
| 2, 3578
| 2, 6174
| 3, 1595
| 3, 3735
| ∞
| 1, 6479
| 1, 9647
| 2, 3263
| 2, 5758
| 3, 090
| 3, 2905
|
| 0, 05
| 0, 025
| 0, 01
| 0, 005
| 0, 001
| 0, 0005
|
| Уровень значимости a (односторонняя критическая область)
|
Приложение 6
Таблица значений функции Лапласа
х
|
| х
|
| х
|
| х
|
| х
|
| 0, 00
|
| 0, 52
| 0, 1985
| 1, 04
| 0, 3508
| 1, 56
| 0, 4406
| 2, 16
| 0, 4846
| 0, 01
| 0, 0040
| 0, 53
| 0, 2019
| 1, 05
| 0, 3531
| 1, 57
| 0, 4418
| 2, 18
|
| 0, 02
| 0, 0080
| 0, 54
| 0, 2054
| 1, 06
| 0, 3554
| 1, 58
| 0, 4429
| 2, 20
| 0, 4861
| 0, 03
| 0, 0120
| 0, 55
| 0, 2088
| 1, 07
| 0, 3577
| 1, 59
| 0, 4441
| 2, 22
| 0, 4868
| 0, 04
| 0, 0160
| 0, 56
| 0, 2123
| 1, 08
| 0, 3599
| 1, 60
| 0, 4452
| 2, 24
| 0, 4875
| 0, 05
| 0, 0199
| 0, 57
| 0, 2157
| 1, 09
| 0, 3621
| 1, 61
| 0, 4463
| 2, 26
| 0, 4881
| 0, 06
| 0, 0239
| 0, 58
| 0, 2190
| 1, 10
| 0, 3643
| 1, 62
| 0, 4474
| 2, 28
| 0, 4887
| 0, 07
| 0, 0279
| 0, 59
| 0, 2224
| 1, 11
| 0, 3665
| 1, 63
| 0, 4484
| 2, 30
| 0, 4893
| 0, 08
| 0, 0319
| 0, 60
| 0, 2257
| 1, 12
| 0, 3686
| 1, 64
| 0, 4495
| 2, 32
| 0, 4898
| 0, 09
| 0, 0359
| 0, 61
| 0, 2291
| 1, 13
| 0, 3708
| 1, 65
| 0, 4505
| 2, 34
| 0, 4904
| 0, 10
| 0, 0398
| 0, 62
| 0, 2324
| 1, 14
| 0, 3729
| 1, 66
| 0, 4515
| 2.36
| 0, 4908
| 0, 11
| 0, 0438
| 0, 63
| 0, 2357
| 1, 15
| 0, 3749
| 1, 67
| 0, 4525
| 2, 38
| 0, 4913
| 0, 12
| 0, 0478
| 0, 64
| 0, 2389
| 1, 16
| 0, 3770
| 1, 68
| 0, 4535
| 2, 40
| 0, 4918
| 0, 13
| 0, 0517
| 0, 65
| 0, 2422
| 1, 17
| 0, 3790
| 1, 69
| 0, 4545
| 2, 42
| 0, 4922
| 0, 14
| 0, 0557
| 0, 66
| 0, 2454
| 1, 18
| 0, 3810
| 1, 70
| 0, 4554
| 2, 44
| 0, 4927
| 0, 15
| 0, 0596
| 0, 67
| 0, 2486
| 1, 19
| 0, 3830
| 1, 71
| 0, 4564
| 2, 46
| 0, 4931
| 0, 16
| 0, 0636
| 0, 68
| 0, 2517
| 1, 20
| 0, 3849
| 1, 72
| 0, 4573
| 2, 48
| 0, 4934
| 0, 17
| 0, 0675
| 0, 69
| 0, 2549
| 1, 21
| 0, 3869
| 1, 73
| 0, 4582
| 2, 50
| 0, 4938
| 0, 18
| 0, 0714
| 0, 70
| 0, 2580
| 1, 22
| 0, 3888
| 1, 74
| 0, 4591
| 2, 52
| 0, 4941
| 0, 19
| 0, 0753
| 0, 71
| 0, 2611
| 1, 23
| 0, 3907
| 1, 75
| 0, 4599
| 2, 54
| 0, 4945
| 0, 20
| 0, 0793
| 0, 72
| 0, 2642
| 1, 24
| 0, 3925
| 1, 76
| 0, 4608
| 2, 56
| 0, 4948
| 0, 21
| 0, 0832
| 0, 73
| 0, 2673
| 1, 25
| 0, 3914
| 1, 77
| 0, 4616
| 2, 58
| 0, 4951
| 0, 22
| 0, 0871
| 0, 74
| 0.2703
| 1, 26
| 0, 3962
| 1, 78
| 0, 4625
| 2, 60
| 0, 4953
| 0, 23
| 0, 0910
| 0, 75
| 0, 2734
| 1, 27
| 0, 3980
| 1, 79
| 0, 4633
| 2, 62
| 0, 4956
| 0, 24
| 0, 0948
| 0, 76
| 0, 2764
| 1, 28
| 0, 3997
| 1, 80
| 0, 4641
| 2, 64
| 0, 4959
| 0, 25
| 0, 0987
| 0, 77
| 0, 2794
| 1, 29
| 0, 4015
| 1, 81
| 0, 4649
| 2, 66
| 0, 4961
| 0, 26
| 0, 1026
| 0, 78
| 0, 2823
| 1, 30
| 0, 4032
| 1, 82
| 0, 4656
| 2, 68
| 0, 4963
| 0, 27
| 0, 1064
| 0, 79
| 0, 2852
| 1, 31
| 0, 4049
| 1, 83
| 0, 4664
| 2, 70
| 0, 4965
| 0, 28
| 0, 1103
| 0, 80
| 0, 2881
| 1, 32
| 0, 4066
| 1, 84
| 0, 4671
| 2, 72
| 0, 4967
| 0, 29
| 0, 1141
| 0, 81
| 0, 2910
| 1, 33
| 0, 4082
| 1, 85
| 0, 4678
| 2, 74
| 0, 4969
| 0, 30
| 0, 1179
| 0, 82
| 0, 2939
| 1, 34
| 0, 4099
| 1, 86
| 0, 4686
| 2, 76
| 0, 4971
| 0, 31
| 0, 1217
| 0, 83
| 0, 2967
| 1, 35
| 0, 4115
| 1, 87
| 0, 4693
| 2, 78
| 0, 4973
| 0, 32
| 0, 1255
| 0.84
| 0, 2995
| 1, 36
| 0, 4131
| 1, 88
| 0, 4699
| 2, 80
| 0, 4974
| 0, 33
| 0, 1293
| 0, 85
| 0, 3023
| 1, 37
| 0, 4147
| 1, 89
| 0, 4706
| 2, 82
| 0, 4976
| 0, 34
| 0, 1331
| 0, 86
| 0, 3051
| 1, 38
| 0, 4162
| 1, 90
| 0, 4713
| 2, 84
| 0, 4977
| 0, 35
| 0, 1368
| 0, 87
| 0, 3078
| 1, 39
| 0, 4177
| 1, 91
| 0, 4719
| 2, 86
| 0, 4979
| 0, 36
| 0, 1406
| 0, 88
| 0, 3106
| 1, 40
| 0, 4192
| 1, 92
| 0, 4726
| 2, 88
| 0, 4980
| 0, 37
| 0, 1443
| 0, 89
| 0, 3133
| 1, 41
| 0, 4207
| 1, 93
| 0, 4732
| 2, 90
| 0, 4981
| 0, 38
| 0, 1480
| 0, 90
| 0, 3159
| 1, 42
| 0, 4222
| 1, 94
| 0, 4738
| 2, 92
| 0, 4982
| 0, 39
| 0, 1517
| 0, 91
| 0, 3186
| 1, 43
| 0, 4236
| 1, 95
| 0, 4744
| 2, 94
| 0, 4984
| 0, 40
| 0, 1554
| 0, 92
| 0, 3112
| 1, 44
| 0, 4251
| 1, 96
| 0, 4750
| 2, 96
| 0, 4985
| 0, 41
| 0, 1591
| 0, 93
| 0, 3238
| 1, 45
| 0, 4265
| 1, 97
| 0, 4756
| 2, 98
| 0, 4986
| 0, 42
| 0, 1628
| 0, 94
| 0, 3264
| 1, 46
| 0, 4279
| 1, 98
| 0, 4761
| 3, 00
| 0, 49865
| 0, 43
| 0, 1664
| 0, 95
| 0, 3289
| 1, 47
| 0, 4292
| 1, 99
| 0, 4767
| 3, 20
| 0, 49931
| 0, 44
| 0, 1700
| 0, 96
| 0, 3315
| 1, 48
| 0, 4306
| 2, 00
| 0, 4772
| 3, 40
| 0, 49966
| 0, 45
| 0, 1736
| 0, 97
| 0, 3340
| 1, 49
| 0, 4319
| 2, 02
| 0, 4783
| 3, 60
| 0, 499841
| 0, 46
| 0, 1772
| 0, 98
| 0, 3365
| 1, 50
| 0, 4332
| 2, 04
| 0, 4793
| 3, 80
| 0, 499928
| 0, 47
| 0, 1808
| 0, 99
| 0, 3389
| 1, 51
| 0, 4345
| 2, 06
| 0, 4803
| 4, 00
| 0, 499968
| 0, 48
| 0, 1844
| 1, 00
| 0, 3413
| 1, 52
| 0, 4357
| 2, 08
| 0, 4812
| 4, 50
| 0, 499997
| 0, 49
| 0, 1879
| 1, 01
| 0, 3438
| 1, 53
| 0, 4370
| 2, 10
| 0, 4821
| 5, 00
| 0, 49999997
| 0, 50
| 0, 1915
| 1, 02
| 0, 3461
| 1, 54
| 0, 4382
| 2, 12
| 0, 4830
|
|
| 0, 51
| 0, 1950
| 1, 03
| 0, 3485
| 1, 55
| 0, 4394
| 2, 14
| 0, 4838
|
|
| Приложение 7
Таблица критических точек распределения Фишера — Снедекора
( — число степеней свободы для большей дисперсии,
— число степеней свободы для меньшей дисперсии;
для уровня значимости a = 0, 05 – обычный шрифт,
для уровня значимости a = 0, 01 – жирный шрифт)
k2
| k1— число степеней свободы для большей дисперсии
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 18, 51
| 19, 00
| 19, 16
| 19, 25
| 19, 30
| 19, 33
| 19, 36
| 19, 37
| 19, 38
| 19, 39
| 19, 41
| 98, 49
| 99, 00
| 99, 17
| 99, 25
| 99, 30
| 99, 33
| 99, 34
| 99, 36
| 99, 38
| 99, 40
| 99, 42
|
| 10, 13
| 9, 55
| 9, 28
| 9, 12
| 9, 01
| 8, 94
| 8, 88
| 8, 84
| 8, 81
| 8, 78
| 8, 74
| 34, 12
| 30, 82
| 29, 46
| 28, 71
| 28, 24
| 27, 91
| 27, 67
| 27, 49
| 27, 34
| 27, 23
| 27, 05
|
| 7, 71
| 6, 94
| 6, 59
| 6, 39
| 6, 26
| 6, 16
| 6, 09
| 6, 04
| 6, 00
| 5, 96
| 5, 91
| 21, 20
| 18, 00
| 16, 69
| 15, 98
| 15, 52
| 15, 21
| 14, 98
| 14, 80
| 14, 66
| 14, 54
| 14, 37
|
| 6, 61
| 5, 79
| 5, 41
| 5, 19
| 5, 05
| 4, 95
| 4, 88
| 4, 82
| 4, 78
| 4, 74
| 4, 68
| 16, 26
| 13, 27
| 12, 06
| 11, 39
| 10, 97
| 10, 67
| 10, 45
| 10, 27
| 10, 15
| 10, 05
| 9, 89
|
| 5, 99
| 5, 14
| 4, 76
| 4, 53
| 4, 39
| 4, 28
| 4, 21
| 4, 15
| 4, 10
| 4, 06
| 4, 00
| 13, 74
| 10, 92
| 9, 78
| 9, 15
| 8, 75
| 8, 47
| 8, 26
| 8, 10
| 7, 98
| 7, 87
| 7, 72
|
| 5, 59
| 4, 74
| 4, 35
| 4, 12
| 3, 97
| 3, 87
| 3, 79
| 3, 73
| 3, 68
| 3, 63
| 3, 57
| 12, 25
| 9, 55
| 8, 45
| 7, 85
| 7, 46
| 7, 19
| 7, 00
| 6, 84
| 6, 71
| 6, 62
| 6, 47
|
| 5, 32
| 4, 46
| 4, 07
| 3, 84
| 3, 69
| 3, 58
| 3, 50
| 3, 44
| 3, 39
| 3, 34
| 3, 28
| 11, 26
| 8, 65
| 7, 59
| 7, 01
| 6, 63
| 6, 37
| 6, 19
| 6, 03
| 5, 91
| 5, 82
| 5, 67
|
| 5, 12
| 4, 26
| 3, 86
| 3, 63
| 3, 48
| 3, 37
| 3, 29
| 3, 23
| 3, 18
| 3, 13
| 3, 07
| 10, 56
| 8, 02
| 6, 99
| 6, 42
| 6, 06
| 5, 80
| 5, 62
| 5, 47
| 5, 35
| 5, 26
| 5, 11
|
| 4, 96
| 4, 10
| 3, 71
| 3, 48
| 3, 33
| 3, 22
| 3, 14
| 3, 07
| 3, 02
| 2, 97
| 2, 91
| 10, 04
| 7, 56
| 6, 55
| 5, 99
| 5, 64
| 5, 39
| 5, 21
| 5, 06
| 4, 95
| 4, 85
| 4, 71
|
| 4, 84
| 3, 98
| 3, 59
| 3, 36
| 3, 20
| 3, 09
| 3, 01
| 2, 95
| 2, 90
| 2, 86
| 2, 79
| 9, 65
| 7, 20
| 6, 22
| 5, 67
| 5, 32
| 5, 07
| 4, 88
| 4, 74
| 4, 63
| 4, 54
| 4, 40
|
| 4, 75
| 3, 88
| 3, 49
| 3, 26
| 3, 11
| 3, 00
| 2, 92
| 2, 85
| 2, 80
| 2, 76
| 2, 69
| 9, 33
| 6, 93
| 5, 95
| 5, 41
| 5, 06
| 4, 82
| 4, 65
| 4, 50
| 4, 39
| 4, 30
| 4, 16
|
| 4, 67
| 3, 80
| 3, 41
| 3, 18
| 3, 02
| 2, 92
| 2, 84
| 2, 77
| 2, 72
| 2, 67
| 2, 60
| 9, 07
| 6, 70
| 5, 74
| 5, 20
| 4, 86
| 4, 62
| 4, 44
| 4, 30
| 4, 19
| 4, 10
| 3, 96
|
| 4, 60
| 3, 74
| 3, 34
| 8, 11
| 2, 96
| 2, 85
| 2, 77
| 2, 70
| 2, 65
| 2, 60
| 2, 53
| 6, 86
| 6, 51
| 5, 56
| 5, 03
| 4, 69
| 4, 46
| 4, 28
| 4, 14
| 4, 03
| 3, 94
| 3, 80
|
| 4, 54
| 3, 68
| 3, 29
| 3, 06
| 2, 90
| 2, 79
| 2, 70
| 2, 64
| 2, 59
| 2, 55
| 2, 48
| 8, 68
| 6, 36
| 5, 42
| 4, 89
| 4, 56
| 4, 32
| 4, 14
| 4, 00
| 3, 89
| 3, 80
| 3, 67
|
| 4, 49
| 3, 63
| 3, 24
| 3, 01
| 2, 85
| 2, 74
| 2, 66
| 2, 59
| 2, 54
| 2, 49
| 2, 42
| 8, 53
| 6, 23
| 5, 23
| 4, 77
| 4, 44
| 4, 20
| 4, 03
| 3, 89
| 3, 78
| 3, 69
| 3, 55
|
| 4, 45
| 3, 59
| 3, 20
| 2, 96
| 2, 81
| 2, 70
| 2, 62
| 2, 55
| 2, 50
| 2, 45
| 2, 38
| 8, 40
| 6, 11
| 5, 18
| 4, 67
| 4, 34
| 4, 10
| 3, 93
| 3, 79
| 3, 68
| 3, 59
| 3, 45
|
| 4, 41
| 3, 55
| 3, 16
| 2, 93
| 2, 77
| 2, 66
| 2, 58
| 2, 51
| 2, 46
| 2, 41
| 2, 34
| 8, 28
| 6, 01
| 5, 09
| 4, 58
| 4, 25
| 4, 01
| 3, 85
| 3, 71
| 3, 60
| 3, 51
| 3, 37
|
| 4, 38
| 3, 52
| 3, 13
| 2, 90
| 2, 74
| 2, 63
| 2, 55
| 2, 48
| 2, 43
| 2, 38
| 2, 31
| 8, 18
| 5, 93
| 5, 01
| 4, 50
| 4, 17
| 3, 94
| 3, 77
| 3, 63
| 3, 52
| 3, 43
| 3, 30
|
| 4, 35
| 3, 49
| 3, 10
| 2, 87
| 2, 71
| 2, 60
| 2, 52
| 2, 45
| 2, 40
| 2, 35
| 2, 28
| 8, 10
| 5, 85
| 4, 94
| 4, 43
| 4, 10
| 3, 87
| 3, 71
| 3, 56
| 3, 45
| 3, 37
| 3, 23
| для a = 0, 05 – обычный шрифт, для a = 0, 01 – жирный шрифт
|
Продолжение приложения 7
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