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Література. 2. Лондар С.Л. Економетрія засобами MS Excel: Навч
1. Економетрія: Навч. Посіб. / В.І. Жлуктенко, Н.К. Водзянова, С.С. Савіна, О.В. Колодінська; За загальною редакцією к.е.н., проф.. С.І. Наконечного. – К.: Вид-во Європ. Ун-ту, 2005. – 552 с.
2. Лондар С.Л. Економетрія засобами MS Excel: Навч. Посіб. / С.ЛД. Лондар, Р.В. Юринець. – К.: Вид-во Європ. Ун-ту, 2004. – 242 с.
3. Лукяненко І. Г. Економетрика. Підручник. / Лукяненко І. Г., Краснікова Л. І. - К.: Товариство «Знання», КОО, 2005. – 494 с.
4. Лукяненко І. Г. Економетрика: Практикум з використанням комп’ютера. / Лукяненко І. Г., Краснікова Л. І. - К.: Товариство «Знання», КОО, 2005. – 241 с.
5. Магнус Я. Р. Эконометрика: начальный курс. / Магнус Я. Р.,. Катышев П. К.,. Пересецкий А. А. 6-е изд., перераб. и доп. - М.: Дело, 2004. - 576 с.
6. Наконечний С. І. Економетрія: Підручник. / Наконечний С. І., Терещенко Т. О., Романюк Т. П. - К.: КНЕУ, 2007. – 296 с.
7. Орлов А.И. Эконометрика: Учебник для вузов. – 2-е узд., пере рабо. И доп. / А.И. Орлов. – М.: Издательство «Экзамен», 2003. – 576 с.
8. Экономико-математические методы и прикладные модели: Учеб. пособие для вузов / В.В. Федосеев, А.Н. Гармаш, Д.М. Дайитбегов и др.; Под ред. В. В. Федосеева. – М.: ЮНИТИ, 200. – 391 с.
Додатки
Додаток А. Процентилі t-розподілу
df
| t 0, 60
| t 0, 70
| t 0, 80
| t 0, 90
| t 0, 95
| t 0, 975
| t 0, 99
| t 0, 995
|
| 0, 325
| 0, 727
| 1, 376
| 3, 078
| 6, 314
| 12, 706
| 31, 821
| 3, 657
|
| 0, 289
| 0, 617
| 1, 061
| 1, 886
| 2, 920
| 4, 303
| 6, 965
| 9, 925
|
| 0, 277
| 0, 584
| 0, 978
| 1, 638
| 2, 353
| 3, 182
| 4, 541
| 5, 841
|
| 0, 271
| 0, 569
| 0, 941
| 1, 533
| 2, 132
| 2, 776
| 3, 747
| 4, 604
|
| 0, 267
| 0, 559
| 0, 920
| 1, 476
| 2, 015
| 2, 571
| 3, 365
| 4, 032
|
| 0, 265
| 0, 553
| 0, 906
| 1, 440
| 1, 943
| 2, 447
| 3, 143
| 3, 707
|
| 0, 263
| 0, 549
| 0, 896
| 1, 415
| 1, 895
| 2, 365
| 2, 998
| 3, 499
|
| 0, 262
| 0, 546
| 0, 889
| 1, 397
| 1, 860
| 2, 306
| 2, 896
| 3, 355
|
| 0, 261
| 0, 543
| 0, 883
| 1, 383
| 1, 833
| 2, 262
| 2, 821
| 3, 250
|
| 0, 260
| 0, 542
| 0, 879
| 1, 372
| 1, 812
| 2, 228
| 2, 764
| 3, 169
|
| 0, 260
| 0, 540
| 0, 876
| 1, 363
| 1, 796
| 2, 201
| 2, 718
| 3, 106
|
| 0, 259
| 0, 539
| 0, 873
| 1, 356
| 1, 782
| 2, 179
| 2, 681
| 3, 055
|
| 0, 259
| 0, 538
| 0, 870
| 1, 350
| 1, 771
| 2, 160
| 2, 650
| 3, 012
|
| 0, 258
| 0, 537
| 0, 868
| 1, 345
| 1, 761
| 2, 145
| 2, 624
| 2, 977
|
| 0, 258
| 0, 536
| 0, 866
| 1, 341
| 1, 753
| 2, 131
| 2, 602
| 2, 947
|
| 0, 258
| 0, 535
| 0, 865
| 1, 337
| 1, 746
| 2, 120
| 2, 583
| 2, 921
|
| 0, 257
| 0, 534
| 0, 863
| 1, 333
| 1, 740
| 2, 110
| 2, 567
| 2, 898
|
| 0, 257
| 0, 534
| 0, 862
| 1, 330
| 1, 734
| 2, 101
| 2, 552
| 2, 878
|
| 0, 257
| 0, 533
| 0, 861
| 1, 328
| 1, 729
| 2, 093
| 2, 539
| 2, 861
|
| 0, 257
| 0, 533
| 0, 860
| 1, 325
| 1, 725
| 2, 086
| 2, 528
| 2, 845
|
| 0, 257
| 0, 532
| 0, 859
| 1, 323
| 1, 721
| 2, 080
| 2, 518
| 2, 831
|
| 0, 256
| 0, 532
| 0, 858
| 1, 321
| 1, 717
| 2, 074
| 2, 508
| 2, 819
|
| 0, 256
| 0, 532
| 0, 858
| 1, 319
| 1, 714
| 2, 069
| 2, 500
| 2, 807
|
| 0, 256
| 0, 531
| 0, 857
| 1, 318
| 1, 711
| 2, 064
| 2, 492
| 2, 797
|
| 0, 256
| 0, 531
| 0, 856
| 1, 316
| 1, 708
| 2, 060
| 2, 485
| 2, 787
|
| 0, 256
| 0, 531
| 0, 856
| 1, 315
| 1, 706
| 2, 056
| 2, 479
| 2, 779
|
| 0, 256
| 0, 531
| 0, 855
| 1, 314
| 1, 703
| 2, 052
| 2, 473
| 2, 771
|
| 0, 256
| 0, 530
| 0, 855
| 1, 313
| 1, 701
| 2, 048
| 2, 467
| 2, 763
|
| 0, 256
| 0, 530
| 0, 854
| 1, 311
| 1, 699
| 2, 045
| 2, 462
| 2, 756
|
| 0, 256
| 0, 530
| 0, 854
| 1, 310
| 1, 697
| 2, 042
| 2, 457
| 2, 750
|
| 0, 255
| 0, 529
| 0, 851
| 1, 303
| 1, 684
| 2, 021
| 2, 423
| 2, 704
|
| 0, 254
| 0, 527
| 0, 848
| 1, 296
| 1, 671
| 2, 000
| 2, 390
| 2, 660
|
| 0, 254
| 0, 526
| 0, 845
| 1, 289
| 1, 658
| 1, 980
| 2, 358
| 2, 617
| ¥
| 0, 253
| 0, 524
| 0, 842
| 2, 282
| 1, 645
| 1, 960
| 2, 326
| 2, 576
| df
| -t 0, 40
| -t 0, 30
| -t 0, 20
| -t 0, 10
| -t 0, 05
| -t 0, 025
| -t 0, 01
| -t 0, 005
|
Додаток В. F-розподіл, 5%-ні точки (F0, 95)
Ступені свободи знаменника
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| ¥
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 18, 5
| 19, 0
| 19, 2
| 19, 2
| 19, 3
| 19, 3
| 19, 4
| 19, 4
| 19, 4
| 19, 4
| 19, 4
| 19, 4
| 19, 4
| 19, 5
| 19, 5
| 19, 5
| 19, 5
| 19, 5
| 19, 5
|
| 10, 1
| 9, 55
| 9, 28
| 9, 12
| 9, 01
| 8, 94
| 8, 89
| 8, 85
| 8, 81
| 8, 79
| 8, 74
| 8, 70
| 8, 66
| 8, 64
| 8, 62
| 8, 59
| 8, 57
| 8, 55
| 8, 53
|
| 7, 71
| 6, 94
| 6, 59
| 6, 39
| 6, 26
| 6, 16
| 6, 09
| 6, 04
| 6, 00
| 5, 96
| 5, 91
| 5, 86
| 5, 80
| 5, 77
| 5, 75
| 5, 72
| 5, 69
| 5, 66
| 5, 63
|
| 6, 61
| 5, 79
| 5, 41
| 5, 19
| 5, 05
| 4, 95
| 4, 88
| 4, 82
| 4, 77
| 4, 74
| 4, 68
| 4, 62
| 4, 56
| 4, 53
| 4, 50
| 4, 46
| 4, 43
| 4, 40
| 4, 37
|
| 5, 99
| 5, 14
| 4, 76
| 4, 53
| 4, 39
| 4, 28
| 4, 21
| 4, 15
| 4, 10
| 4, 06
| 4, 00
| 3, 94
| 3, 87
| 3, 84
| 3, 81
| 3, 77
| 3, 74
| 3, 70
| 3, 67
|
| 5, 59
| 4, 74
| 4, 35
| 4, 12
| 3, 97
| 3, 87
| 3, 79
| 3, 73
| 3, 68
| 3, 64
| 3, 57
| 3, 51
| 3, 44
| 3, 41
| 3, 38
| 3, 34
| 3, 30
| 3, 27
| 3, 23
|
| 5, 32
| 4, 46
| 4, 07
| 3, 84
| 3, 69
| 3, 58
| 3, 50
| 3, 44
| 3, 39
| 3, 35
| 3, 28
| 3, 22
| 3, 15
| 3, 12
| 3, 08
| 3, 04
| 3, 01
| 2, 97
| 2, 93
|
| 5, 12
| 4, 26
| 3, 86
| 3, 63
| 3, 48
| 3, 37
| 3, 29
| 3, 23
| 3, 18
| 3, 14
| 3, 07
| 3, 01
| 2, 94
| 2, 90
| 2, 86
| 2, 83
| 2, 79
| 2, 75
| 2, 71
|
| 4, 96
| 4, 10
| 3, 71
| 3, 48
| 3, 33
| 3, 22
| 3, 14
| 3, 07
| 3, 02
| 2, 98
| 2, 91
| 2, 85
| 2, 77
| 2, 74
| 2, 70
| 2, 66
| 2, 62
| 2, 58
| 2, 54
|
| 4, 84
| 3, 98
| 3, 59
| 3, 36
| 3, 20
| 3, 09
| 3, 01
| 2, 95
| 2, 90
| 2, 85
| 2, 79
| 2, 72
| 2, 65
| 2, 61
| 2, 57
| 2, 53
| 2, 49
| 2, 45
| 2, 40
|
| 4, 75
| 3, 89
| 3, 49
| 3, 26
| 3, 11
| 3, 00
| 2, 91
| 2, 85
| 2, 80
| 2, 75
| 2, 69
| 2, 62
| 2, 54
| 2, 51
| 2, 47
| 2, 43
| 2, 38
| 2, 34
| 2, 30
|
| 4, 67
| 3, 81
| 3, 41
| 3, 18
| 3, 03
| 2, 92
| 2, 83
| 2, 77
| 2, 71
| 2, 64
| 2, 60
| 2, 53
| 2, 46
| 2, 42
| 2, 38
| 2, 34
| 2, 30
| 2, 25
| 2, 21
|
| 4, 60
| 3, 74
| 3, 34
| 3, 11
| 2, 96
| 2, 82
| 2, 76
| 2, 70
| 2, 65
| 2, 60
| 2, 53
| 2, 46
| 2, 39
| 2, 35
| 3, 31
| 2, 27
| 2, 22
| 2, 18
| 2, 13
|
| 4, 54
| 3, 68
| 3, 29
| 3, 06
| 2, 90
| 2, 79
| 2, 71
| 2, 64
| 2, 59
| 2, 54
| 2, 48
| 2, 40
| 2, 33
| 2, 29
| 2, 25
| 2, 20
| 2, 16
| 2, 11
| 2, 07
|
| 4, 49
| 3, 63
| 3, 24
| 3, 01
| 2, 85
| 2, 74
| 2, 66
| 2, 59
|
| 2, 49
| 2, 42
| 2, 35
| 2, 28
| 2, 24
| 2, 19
| 2, 15
| 2, 11
| 2, 06
| 2, 01
|
| 4, 45
| 3, 59
| 3, 20
| 2, 96
| 2, 81
| 2, 70
| 2, 61
| 2, 55
| 2, 49
| 2, 45
| 2, 38
| 2, 31
| 2, 23
| 2, 19
| 2, 15
| 2, 10
| 2, 06
| 2, 01
| 1, 96
|
| 4, 41
| 3, 55
| 3, 16
| 2, 93
| 2, 77
| 2, 66
| 2, 58
| 2, 51
| 2, 46
| 2, 41
| 2, 34
| 2, 27
| 2, 19
| 2, 15
| 2, 11
| 2, 06
| 2, 02
| 1, 97
| 1, 92
|
| 4, 38
| 3, 52
| 3, 13
| 2, 90
| 2, 74
| 2, 63
| 2, 54
| 2, 48
| 2, 42
| 2, 38
| 2, 31
| 2, 23
| 2, 16
| 2, 11
| 2, 07
| 2, 03
| 1, 98
| 1, 93
| 1, 88
|
| 4, 35
| 3, 49
| 3, 10
| 2, 87
| 2, 71
| 2, 60
| 2, 51
| 2, 45
| 2, 39
| 2, 35
| 2, 28
| 2, 20
| 2, 12
| 2, 08
| 2, 04
| 1, 99
| 1, 95
| 1, 90
| 1, 84
|
| 4, 32
| 3, 47
| 3, 07
| 2, 84
| 2, 68
| 2, 57
| 2, 49
| 2, 42
| 2, 37
| 2, 32
| 2, 25
| 2, 18
| 2, 10
| 2, 05
| 2, 01
| 1, 96
| 1, 92
| 1, 87
| 1, 81
|
| 4, 30
| 3, 44
| 3, 05
| 2, 82
| 2, 66
| 2, 55
| 2, 46
| 2, 40
| 2, 34
| 2, 30
| 2, 23
| 2, 15
| 2, 07
| 2, 03
| 1, 98
| 1, 94
| 1, 89
| 1, 84
| 1, 78
|
| 4, 28
| 3, 42
| 3, 03
| 2, 80
| 2, 64
| 2, 53
| 2, 44
| 2, 37
| 2, 32
| 2, 27
| 2, 20
| 2, 13
| 2, 05
| 2, 01
| 1, 96
| 1, 91
| 1, 86
| 1, 81
| 1, 76
|
| 4, 26
| 3, 40
| 3, 01
| 2, 78
| 2, 62
| 2, 51
| 2, 42
| 2, 36
| 2, 30
| 2, 25
| 2, 18
| 2, 11
| 2, 03
| 1, 98
| 1, 94
| 1, 89
| 1, 84
| 1, 79
| 1, 73
|
| 4, 24
| 3, 39
| 2, 99
| 2, 76
| 2, 60
| 2, 49
| 2, 40
| 2, 34
| 2, 28
| 2, 24
| 2, 16
| 2, 09
| 2, 01
| 1, 96
| 1, 92
| 1, 87
| 1, 82
| 1, 77
| 1, 71
|
| 4, 17
| 3, 32
| 2, 92
| 2, 69
| 2, 53
| 2, 42
| 2, 33
| 2, 27
| 2, 21
| 2, 16
| 2, 09
| 2, 01
| 1, 93
| 1, 89
| 1, 84
| 1, 79
| 1, 74
| 1, 68
| 1, 62
|
| 4, 08
| 3, 23
| 2, 84
| 2, 61
| 2, 45
| 2, 34
| 2, 25
| 2, 18
| 2, 12
| 2, 08
| 2, 00
| 1, 92
| 1, 84
| 1, 79
| 1, 74
| 1, 69
| 1, 64
| 1, 58
| 1, 51
|
| 4, 00
| 3, 15
| 2, 76
| 2, 53
| 2, 37
| 2, 25
| 2, 17
| 2, 10
| 2, 04
| 1, 99
| 1, 92
| 1, 84
| 1, 75
| 1, 70
| 1, 65
| 1, 59
| 1, 53
| 1, 47
| 1, 39
|
| 3, 92
| 3, 07
| 2, 68
| 2, 45
| 2, 29
| 2, 18
| 2, 09
| 2, 02
| 1, 96
| 1, 91
| 1, 83
| 1, 75
| 1, 66
| 1, 61
| 1, 55
| 1, 50
| 1, 43
| 1, 35
| 1, 25
| ¥
| 3, 84
| 3, 00
| 2, 60
| 2, 37
| 2, 21
| 2, 10
| 2, 01
| 1, 94
| 1, 88
| 1, 83
| 1, 75
| 1, 67
| 1, 57
| 1, 52
| 1, 46
| 1, 39
| 1, 32
| 1, 22
| 1, 00
|
Додаток В. F-розподіл, 1%-ні точки (F0, 99)
Ступені свободи знаменника
|
|
|
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| ¥
|
| 4, 052
| 5, 000
| 5, 403
| 5, 625
| 5, 764
| 5, 859
| 5, 928
| 5, 982
| 6, 023
| 6, 056
| 6, 106
| 6, 157
| 6, 209
| 6, 235
| 6, 261
| 6, 287
| 6, 313
| 6, 339
| 6, 366
|
| 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, 4
| 99, 5
| 99, 5
| 99, 5
| 99, 5
| 99, 5
| 99, 5
|
| 34, 1
| 30, 8
| 29, 5
| 28, 7
| 28, 2
| 27, 9
| 27, 7
| 27, 5
| 27, 3
| 27, 2
| 72, 1
| 26, 9
| 26, 7
| 26, 6
| 26, 5
| 26, 4
| 26, 3
| 26, 2
| 26, 1
|
| 21, 2
| 18, 0
| 16, 7
| 16, 0
| 15, 5
| 15, 2
| 15, 0
| 14, 8
| 14, 7
| 14, 5
| 14, 4
| 14, 2
| 14, 0
| 13, 9
| 13, 8
| 13, 7
| 13, 7
| 13, 6
| 13, 5
|
| 16, 3
| 13, 3
| 12, 1
| 11, 4
| 11, 0
| 10, 7
| 10, 5
| 10, 3
| 10, 2
| 10, 1
| 9, 89
| 9, 72
| 9, 55
| 9, 47
| 9, 38
| 9, 29
| 9, 20
| 9, 11
| 9, 02
|
| 13, 7
| 10, 9
| 9, 78
| 9, 15
| 8, 75
| 8, 47
| 8, 26
| 8, 10
| 7, 98
| 7, 87
| 7, 72
| 7, 56
| 7, 40
| 7, 31
| 7, 23
| 7, 14
| 7, 06
| 6, 97
| 6, 88
|
| 12, 2
| 9, 55
| 8, 45
| 7, 85
| 7, 46
| 7, 19
| 6, 99
| 6, 84
| 6, 72
| 6, 62
| 6, 47
| 6, 31
| 6, 16
| 6, 07
| 5, 99
| 5, 91
| 5, 82
| 5, 74
| 4, 64
|
| 11, 3
| 8, 65
| 7, 59
| 7, 01
| 6, 63
| 6, 37
| 6, 18
| 6, 03
| 5, 91
| 5, 81
| 5, 67
| 5, 52
| 5, 36
| 5, 28
| 5, 20
| 5, 12
| 5, 03
| 4, 95
| 4, 86
|
| 10, 6
| 8, 02
| 6, 99
| 6, 42
| 6, 06
| 5, 80
| 5, 61
| 5, 47
| 5, 35
| 5, 26
| 5, 11
| 4, 96
| 4, 81
| 4, 73
| 4, 65
| 4, 57
| 4, 48
| 4, 40
| 4, 31
|
| 10, 0
| 7, 56
| 6, 55
| 5, 99
| 5, 64
| 5, 39
| 5, 20
| 5, 06
| 4, 94
| 4, 85
| 4, 71
| 4, 56
| 4, 41
| 4, 33
| 4, 25
| 4, 17
| 4, 08
| 4, 00
| 3, 91
|
| 9, 65
| 7, 21
| 6, 22
| 5, 67
| 5, 32
| 5, 07
| 4, 89
| 4, 74
| 4, 63
| 4, 54
| 4, 40
| 4, 25
| 4, 10
| 4, 02
| 3, 94
| 3, 86
| 3, 78
| 3, 69
| 3, 60
|
| 9, 33
| 6, 93
| 5, 95
| 5, 41
| 5, 06
| 4, 82
| 4, 64
| 4, 50
| 4, 39
| 4, 30
| 4, 16
| 4, 01
| 3, 86
| 3, 78
| 3, 70
| 3, 62
| 3, 54
| 3, 45
| 3, 36
|
| 9, 07
| 6, 70
| 5, 74
| 5, 21
| 4, 86
| 4, 62
| 4, 44
| 4, 30
| 4, 19
| 4, 10
| 3, 96
| 3, 82
| 3, 66
| 3, 59
| 3, 51
| 3, 43
| 3, 34
| 3, 25
| 3, 17
|
| 8, 86
| 6, 51
| 5, 56
| 5, 04
| 4, 70
| 4, 46
| 4, 28
| 4, 14
| 4, 03
| 3, 94
| 3, 80
| 3, 66
| 3, 51
| 3, 43
| 3, 35
| 3, 27
| 3, 18
| 3, 09
| 3, 00
|
| 8, 68
| 6, 36
| 5, 42
| 4, 89
| 4, 56
| 4, 32
| 4, 14
| 4, 00
| 3, 89
| 3, 80
| 3, 67
| 3, 52
| 3, 37
| 3, 29
| 3, 21
| 3, 13
| 3, 05
| 2, 96
| 2, 87
|
| 8, 53
| 6, 23
| 5, 29
| 4, 77
| 4, 44
| 4, 20
| 4, 03
| 3, 89
| 3, 78
| 3, 69
| 3, 55
| 3, 41
| 3, 26
| 3, 18
| 3, 10
| 3, 02
| 2, 93
| 2, 84
| 2, 75
|
| 8, 40
| 6, 11
| 5, 19
| 4, 67
| 4, 34
| 4, 10
| 3, 93
| 3, 79
| 3, 68
| 3, 59
| 3, 46
| 3, 31
| 3, 16
| 3, 08
| 3, 00
| 2, 92
| 2, 83
| 2, 75
| 2, 65
|
| 8, 29
| 6, 01
| 5, 09
| 4, 58
| 4, 25
| 4, 01
| 3, 84
| 3, 71
| 3, 60
| 3, 51
| 3, 37
| 3, 23
| 3, 08
| 3, 00
| 2, 92
| 2, 84
| 2, 75
| 2, 66
| 2, 57
|
| 8, 19
| 5, 93
| 5, 01
| 4, 50
| 4, 17
| 3, 94
| 3, 77
| 3, 63
| 3, 52
| 3, 43
| 3, 30
| 3, 15
| 3, 00
| 2, 92
| 2, 84
| 2, 76
| 2, 67
| 2, 58
| 2, 49
|
| 8, 10
| 5, 85
| 4, 94
| 4, 43
| 4, 10
| 3, 87
| 3, 70
| 3, 56
| 3, 46
| 3, 37
| 3, 23
| 3, 09
| 2, 94
| 2, 86
| 2, 78
| 2, 69
| 2, 61
| 2, 52
| 2, 42
|
| 8, 02
| 5, 78
| 4, 87
| 4, 37
| 4, 04
| 3, 81
| 3, 64
| 3, 51
| 3, 40
| 3, 31
| 3, 17
| 3, 03
| 2, 88
| 2, 80
| 2, 72
| 2, 64
| 2, 55
| 2, 46
| 2, 36
|
| 7, 95
| 5, 72
| 4, 82
| 4, 31
| 3, 99
| 3, 76
| 3, 59
| 3, 45
| 3, 35
| 3, 26
| 3, 12
| 2, 98
| 2, 83
| 2, 75
| 2, 67
| 2, 58
| 2, 50
| 2, 40
| 2, 31
|
| 7, 88
| 5, 66
| 4, 76
| 4, 26
| 3, 94
| 3, 71
| 3, 54
| 3, 41
| 3, 30
| 3, 21
| 3, 07
| 2, 93
| 2, 78
| 2, 70
| 2, 62
| 2, 54
| 2, 45
| 2, 35
| 2, 26
|
| 7, 82
| 5, 61
| 4, 72
| 4, 22
| 3, 90
| 3, 67
| 3, 50
| 3, 36
| 3, 26
| 3, 17
| 3, 03
| 2, 89
| 2, 74
| 2, 66
| 2, 58
| 2, 49
| 2, 40
| 2, 31
| 2, 21
|
| 7, 77
| 5, 57
| 4, 68
| 4, 18
| 3, 86
| 3, 63
| 3, 46
| 3, 32
| 3, 22
| 3, 13
| 2, 99
| 2, 85
| 2, 70
| 2, 62
| 2, 53
| 2, 45
| 2, 36
| 2, 27
| 2, 17
|
| 7, 56
| 5, 39
| 4, 51
| 4, 02
| 3, 70
| 3, 47
| 3, 30
| 3, 17
| 3, 07
| 2, 98
| 2, 84
| 2, 70
| 2, 55
| 2, 47
| 2, 39
| 2, 30
| 2, 21
| 2, 11
| 2, 01
|
| 7, 31
| 5, 18
| 4, 31
| 3, 83
| 3, 51
| 3, 29
| 3, 12
| 2, 99
| 2, 89
| 2, 80
| 2, 66
| 2, 52
| 2, 37
| 2, 29
| 2, 20
| 2, 11
| 2, 02
| 1, 92
| 1, 80
|
| 7, 08
| 4, 98
| 4, 13
| 3, 65
| 3, 34
| 3, 12
| 2, 95
| 2, 82
| 2, 72
| 2, 63
| 2, 50
| 2, 35
| 2, 20
| 2, 12
| 2, 03
| 1, 94
| 1, 84
| 1, 73
| 1, 60
|
| 6, 85
| 4, 79
| 3, 95
| 3, 48
| 3, 17
| 2, 96
| 2, 79
| 2, 66
| 2, 56
| 2, 47
| 2, 34
| 2, 19
| 2, 03
| 1, 95
| 1, 86
| 1, 76
| 1, 66
| 1, 53
| 1, 38
| ¥
| 6, 63
| 4, 61
| 3, 78
| 3, 32
| 3, 02
| 2, 80
| 2, 64
| 2, 51
| 2, 41
| 2, 32
| 2, 18
| 2, 04
| 1, 88
| 1, 79
| 1, 70
| 1, 59
| 1, 47
| 1, 32
| 1, 00
|
Додаток С Процентилі х2-розподілу
df
| 0, 5
|
| 2, 5
|
|
|
|
| 97, 5
|
| 99, 5
|
| 0, 000039
| 0, 00016
| 0, 00098
| 0, 0039
| 0, 0158
| 2, 71
| 3, 84
| 5, 02
| 6, 63
| 7, 88
|
| 0, 0100
| 0, 0201
| 0, 0506
| 0, 1026
| 0.2107
| 4, 61
| 5, 99
| 7, 38
| 9, 21
| 10, 61
|
| 0, 0717
| 0, 115
| 0, 216
| 0, 352
| 0, 584
| 6, 25
| 7, 81
| 9, 35
| 11, 34
| 12, 84
|
| 0, 207
| 0, 297
| 0, 484
| 0, 711
| 1, 064
| 7, 78
| 9, 49
| 11, 14
| 13, 28
| 14, 86
|
| 0, 412
| 0, 554
| 0, 831
| 1, 15
| 1, 61
| 9, 24
| 11, 07
| 12, 83
| 15, 09
| 16, 75
|
| 0, 646
| 0, 872
| 1, 24
| 1, 64
| 2, 20
| 10, 64
| 12, 59
| 14, 45
| 16, 81
| 18, 55
|
| 0, 989
| 1, 24
| 1, 69
| 2, 17
| 2, 83
| 12, 02
| 14, 07
| 16, 01
| 18, 48
| 20, 28
|
| 1, 34
| 1, 65
| 2, 18
| 2, 73
| 3, 49
| 13, 36
| 15, 51
| 17, 53
| 20, 09
| 21, 96
|
| 1, 73
| 2, 09
| 2, 70
| 3, 33
| 4, 17
| 14, 68
| 16, 92
| 19, 02
| 21, 67
| 23, 59
|
| 2, 16
| 2, 56
| 3, 25
| 3, 94
| 4, 87
| 15, 99
| 18, 31
| 20, 48
| 23, 21
| 25, 19
|
| 2, 60
| 3, 05
| 3, 82
| 4, 57
| 5, 58
| 17, 27
| 19, 68
| 21, 92
| 24, 73
| 26, 76
|
| 3, 07
| 3, 57
| 4, 40
| 5, 23
| 6, 30
| 18, 55
| 21, 03
| 23, 34
| 26, 22
| 28, 30
|
| 3, 57
| 4, 11
| 5, 01
| 5, 89
| 7, 04
| 19, 81
| 22, 36
| 24, 74
| 27, 69
| 29, 82
|
| 4, 07
| 4, 66
| 5, 63
| 6, 57
| 7, 79
| 21, 06
| 23, 68
| 26, 12
| 29, 14
| 31, 32
|
| 4, 60
| 5, 23
| 6, 26
| 7, 26
| 8, 55
| 22, 31
| 25, 00
| 27, 49
| 30, 58
| 32, 80
|
| 5, 14
| 5, 81
| 6, 91
| 7, 96
| 9, 31
| 23, 54
| 26, 30
| 28, 85
| 32, 00
| 34, 27
|
| 6, 26
| 7, 01
| 8, 23
| 9, 39
| 10, 86
| 25, 99
| 28, 87
| 31, 53
| 34, 81
| 37, 16
|
| 7, 43
| 8, 26
| 9, 59
| 10, 85
| 12, 44
| 28, 41
| 31, 41
| 34, 17
| 37, 57
| 40, 00
|
| 9, 89
| 10, 86
| 10, 40
| 13, 85
| 15, 66
| 33, 20
| 36, 42
| 39, 36
| 42, 98
| 45, 56
|
| 13, 79
| 14, 95
| 16, 79
| 18, 49
| 20, 60
| 40, 26
| 43, 77
| 46, 98
| 50, 89
| 53, 67
|
| 20, 71
| 22, 16
| 24, 43
| 26, 51
| 29, 05
| 51, 81
| 55, 76
| 59, 34
| 63, 69
| 66, 77
|
| 35, 53
| 37, 48
| 40, 48
| 43, 19
| 46, 46
| 74, 40
| 79, 08
| 83, 30
| 88, 38
| 91, 95
|
| 83, 85
| 86, 92
| 91, 58
| 95, 70
| 100, 62
| 140, 23
| 146, 57
| 152, 21
| 158, 95
| 163, 64
|
Додаток D. Критерій Дарбіна - Уотсона (d). Значення dL і dU при 5%-му рівні значущості
n
| k ¢ = 1
| k ¢ = 2
| k ¢ = 3
| k ¢ = 4
| k ¢ = 5
|
| dL
| dU
| dL
| dU
| dL
| dU
| dL
| dU
| dL
| dU
|
| 1, 08
| 1, 36
| 0, 95
| 1, 54
| 0, 82
| 1, 75
| 0, 69
| 1, 97
| 0, 56
| 2, 2
|
| 1, 10
| 1, 37
| 0, 98
| 1, 54
| 0, 86
| 1, 73
| 0, 74
| 1, 93
| 0, 62
| 2, 1
|
| 1, 13
| 1, 38
| 1, 02
| 1, 54
| 0, 90
| 1, 71
| 0, 78
| 1, 90
| 0, 67
| 2, 10
|
| 1, 16
| 1, 39
| 1, 05
| 1, 53
| 0, 93
| 1, 69
| 0, 82
| 1, 87
| 0, 71
| 2, 06
|
| 1, 18
| 1, 40
| 1, 08
| 1, 53
| 0, 97
| 1, 68
| 0, 86
| 1, 85
| 0, 75
| 2, 02
|
| 1, 20
| 1, 41
| 1, 10
| 1, 54
| 1, 00
| 1, 68
| 0, 90
| 1, 83
| 0, 79
| 1, 99
|
| 1, 22
| 1, 42
| 1, 13
| 1, 54
| 1, 03
| 1, 67
| 0, 93
| 1, 81
| 0, 83
| 1, 96
|
| 1, 24
| 1, 43
| 1, 15
| 1, 54
| 1, 05
| 1, 66
| 0, 96
| 1, 80
| 0, 86
| 1, 94
|
| 1, 26
| 1, 44
| 1, 17
| 1, 54
| 1, 08
| 1, 66
| 0, 99
| 1, 79
| 0, 90
| 1, 92
|
| 1, 27
| 1, 45
| 1, 19
| 1, 55
| 1, 10
| 1, 66
| 1, 01
| 1, 78
| 0, 93
| 1, 90
|
| 1, 29
| 1, 46
| 1, 21
| 1, 55
| 1, 12
| 1, 66
| 1, 04
| 1, 77
| 0, 95
| 1, 89
|
| 1, 30
| 1, 47
| 1, 22
| 1, 55
| 1, 14
| 1, 65
| 1, 06
| 1, 76
| 0, 98
| 1, 88
|
| 1, 32
| 1, 48
| 1, 24
| 1, 56
| 1, 16
| 1, 65
| 1, 08
| 1, 76
| 1, 01
| 1, 86
|
| 1, 33
| 1, 48
| 1, 26
| 1, 56
| 1, 18
| 1, 65
| 1, 10
| 1, 75
| 1, 03
| 1, 85
|
| 1, 34
| 1, 49
| 1, 27
| 1, 56
| 1, 20
| 1, 65
| 1, 12
| 1, 74
| 1, 05
| 1, 84
|
| 1, 35
| 1, 50
| 1, 28
| 1, 57
| 1, 21
| 1, 21
| 1, 65
| 1, 14
| 1, 07
| 1, 83
|
| 1, 36
| 1, 50
| 1, 30
| 1, 57
| 1, 23
| 1, 65
| 1, 16
| 1, 74
| 1, 09
| 1, 83
|
| 1, 37
| 1, 51
| 1, 31
| 1, 57
| 1, 24
| 1, 65
| 1, 18
| 1, 73
| 1, 11
| 1, 82
|
| 1, 38
| 1, 51
| 1, 32
| 1, 58
| 1, 26
| 1, 65
| 1, 19
| 1, 73
| 1, 13
| 1, 81
|
| 1, 39
| 1, 52
| 1, 33
| 1, 58
| 1, 27
| 1, 65
| 1, 21
| 1, 73
| 1, 15
| 1, 81
|
| 1, 40
| 1, 52
| 1, 34
| 1, 58
| 1, 28
| 1, 65
| 1, 22
| 1, 73
| 1, 16
| 1, 80
|
| 1, 41
| 1, 52
| 1, 35
| 1, 59
| 1, 29
| 1, 65
| 1, 24
| 1, 73
| 1, 18
| 1, 80
|
| 1, 42
| 1, 53
| 1, 36
| 1, 59
| 1, 31
| 1, 66
| 1, 25
| 1, 72
| 1, 19
| 1, 80
|
| 1, 43
| 1, 54
| 1, 37
| 1, 59
| 1, 32
| 1, 66
| 1, 26
| 1, 72
| 1, 21
| 1, 79
|
| 1, 43
| 1, 54
| 1, 38
| 1, 60
| 1, 33
| 1, 66
| 1, 27
| 1, 72
| 1, 22
| 1, 79
|
| 1, 44
| 1, 54
| 1, 39
| 1, 60
| 1, 34
| 1, 66
| 1, 29
| 1, 72
| 1, 23
| 1, 79
|
| 1, 48
| 1, 57
| 1, 43
| 1, 62
| 1, 38
| 1, 67
| 1, 34
| 1, 72
| 1, 29
| 1, 78
|
| 1, 50
| 1, 59
| 1, 46
| 1, 63
| 1, 42
| 1, 67
| 1, 38
| 1, 72
| 1, 34
| 1, 77
|
| 1, 53
| 1, 60
| 1, 49
| 1, 64
| 1, 45
| 1, 68
| 1, 41
| 1, 72
| 1, 38
| 1, 77
|
| 1, 55
| 1, 62
| 1, 51
| 1, 65
| 1, 48
| 1, 69
| 1, 44
| 1, 73
| 1, 41
| 1, 77
|
| 1, 57
| 1, 63
| 1, 54
| 1, 66
| 1, 50
| 1, 70
| 1, 47
| 1, 73
| 1, 44
| 1, 77
|
| 1, 58
| 1, 64
| 1, 55
| 1, 67
| 1, 52
| 1, 70
| 1, 49
| 1, 74
| 1, 46
| 1, 77
|
| 1, 60
| 1, 65
| 1, 57
| 1, 68
| 1, 54
| 1, 71
| 1, 51
| 1, 74
| 1, 49
| 1, 77
|
| 1, 61
| 1, 66
| 1, 59
| 1, 69
| 1, 56
| 1, 72
| 1, 53
| 1, 74
| 1, 51
| 1, 77
|
| 1, 62
| 1, 67
| 1, 60
| 1, 70
| 1, 57
| 1, 72
| 1, 55
| 1, 75
| 1, 52
| 1, 77
|
| 1, 63
| 1, 68
| 1, 61
| 1, 70
| 1, 59
| 1, 73
| 1, 57
| 1, 75
| 1, 54
| 1, 78
|
| 1, 64
| 1, 69
| 1, 62
| 1, 71
| 1, 60
| 1, 73
| 1, 58
| 1, 75
| 1, 56
| 1, 78
|
| 1, 65
| 1, 69
| 1, 63
| 1, 72
| 1, 61
| 1, 74
| 1, 59
| 1, 76
| 1, 57
| 1, 78
|
Додаток D. Критерій Дарбіна - Уотсона (d). Значення dL і dU при 1%-му рівні значущості
n
| k ¢ = 1
| k ¢ = 2
| k ¢ = 3
| k ¢ = 4
| k ¢ = 5
|
| dL
| dU
| dL
| dU
| dL
| dU
| dL
| dU
| dL
| dU
|
| 1, 81
| 1, 07
| 0, 70
| 1, 25
| 0, 59
| 1, 46
| 0, 49
| 1, 70
| 0, 39
| 1, 96
|
| 0, 84
| 1, 09
| 0, 74
| 1, 25
| 0, 63
| 1, 44
| 0, 53
| 1, 66
| 0, 44
| 1, 90
|
| 0, 87
| 1, 10
| 0, 77
| 1, 25
| 0, 67
| 1, 43
| 0, 57
| 1, 63
| 0, 48
| 1, 85
|
| 0, 90
| 1, 12
| 0, 80
| 1, 26
| 0, 71
| 1, 42
| 0, 61
| 1, 60
| 0, 52
| 1, 80
|
| 0, 93
| 1, 13
| 0, 83
| 1, 26
| 0, 74
| 1, 41
| 0, 65
| 1, 58
| 0, 56
| 1, 77
|
| 0, 95
| 1, 15
| 0, 86
| 1, 27
| 0, 77
| 1, 41
| 0, 68
| 1, 57
| 0, 60
| 1, 74
|
| 0, 97
| 1, 16
| 0, 89
| 1, 27
| 0, 80
| 1, 41
| 0, 72
| 1, 55
| 0, 63
| 1, 71
|
| 1, 00
| 1, 17
| 0, 91
| 1, 28
| 0, 83
| 1, 40
| 0, 75
| 1, 54
| 0, 66
| 1, 69
|
| 1, 02
| 1, 19
| 0, 94
| 1, 29
| 0, 86
| 1, 40
| 0, 77
| 1, 53
| 0, 70
| 1, 67
|
| 1, 04
| 1, 20
| 0, 96
| 1, 30
| 0, 88
| 1, 41
| 0, 80
| 1, 53
| 0, 72
| 1, 66
|
| 1, 05
| 1, 21
| 0, 98
| 1, 30
| 0, 90
| 1, 41
| 0, 83
| 1, 52
| 0, 75
| 1, 65
|
| 1, 07
| 1, 22
| 1, 00
| 1, 31
| 0, 93
| 1, 41
| 0, 85
| 1, 52
| 0, 78
| 1, 64
|
| 1, 09
| 1, 23
| 1, 02
| 1, 32
| 0, 95
| 1, 41
| 0, 88
| 1, 51
| 0, 81
| 1, 63
|
| 1, 10
| 1, 24
| 1, 04
| 1, 32
| 0, 97
| 1, 41
| 0, 90
| 1, 51
| 0, 83
| 1, 62
|
| 1, 12
| 1, 25
| 1, 05
| 1, 33
| 0, 99
| 1, 42
| 0, 92
| 1, 51
| 0, 85
| 1, 61
|
| 1, 13
| 1, 26
| 1, 07
| 1, 34
| 1, 01
| 1, 42
| 0, 94
| 1, 51
| 0, 88
| 1, 61
|
| 1, 15
| 1, 27
| 1, 08
| 1, 34
| 1, 02
| 1, 42
| 0, 96
| 1, 51
| 0, 90
| 1, 60
|
| 1, 16
| 1, 28
| 1, 10
| 1, 35
| 1, 04
| 1, 43
| 0, 98
| 1, 51
| 0, 92
| 1, 60
|
| 1, 17
| 1, 29
| 1, 11
| 1, 36
| 1, 05
| 1, 43
| 1, 00
| 1, 51
| 0, 94
| 1, 59
|
| 1, 18
| 1, 30
| 1, 13
| 1, 36
| 1, 07
| 1, 43
| 1, 01
| 1, 51
| 0, 95
| 1, 95
|
| 1, 19
| 1, 31
| 1, 14
| 1, 37
| 1, 08
| 1, 44
| 1, 03
| 1, 51
| 0, 97
| 1, 59
|
| 1, 21
| 1, 32
| 1, 15
| 1, 38
| 1, 10
| 1, 44
| 1, 04
| 1, 51
| 0, 99
| 1, 59
|
| 1, 22
| 1, 32
| 1, 16
| 1, 38
| 1, 11
| 1, 45
| 1, 06
| 1, 51
| 1, 00
| 1, 59
|
| 1, 23
| 1, 33
| 1, 18
| 1, 39
| 1, 12
| 1, 45
| 1, 07
| 1, 52
| 1, 02
| 1, 58
|
| 1, 24
| 1, 34
| 1, 19
| 1, 39
| 1, 14
| 1, 45
| 1, 09
| 1, 52
| 1, 03
| 1, 58
|
| 1, 25
| 1, 34
| 1, 20
| 1, 40
| 1, 15
| 1, 46
| 1, 10
| 1, 52
| 1, 05
| 1, 58
|
| 1, 29
| 1, 38
| 1, 24
| 1, 42
| 1, 20
| 1, 48
| 1, 16
| 1, 53
| 1, 11
| 1, 58
|
| 1, 32
| 1, 40
| 1, 28
| 1, 45
| 1, 24
| 1, 49
| 1, 20
| 1, 54
| 1, 16
| 1, 59
|
| 1, 36
| 1, 43
| 1, 32
| 1, 47
| 1, 28
| 1, 51
| 1, 25
| 1, 55
| 1, 21
| 1, 59
|
| 1, 38
| 1, 45
| 1, 35
| 1, 48
| 1, 32
| 1, 52
| 1, 28
| 1, 56
| 1, 25
| 1, 60
|
| 1, 41
| 1, 47
| 1, 38
| 1, 50
| 1, 35
| 1, 53
| 1, 31
| 1, 57
| 1, 28
| 1, 61
|
| 1, 43
| 1, 49
| 1, 40
| 1, 52
| 1, 37
| 1, 55
| 1, 34
| 1, 58
| 1, 31
| 1, 61
|
| 1, 45
| 1, 50
| 1, 42
| 1, 53
| 1, 39
| 1, 56
| 1, 37
| 1, 59
| 1, 34
| 1, 62
|
| 1, 47
| 1, 52
| 1, 44
| 1, 54
| 1, 42
| 1, 57
| 1, 39
| 1, 60
| 1, 36
| 1, 62
|
| 1, 48
| 1, 53
| 1, 46
| 1, 55
| 1, 43
| 1, 58
| 1, 41
| 1, 60
| 1, 39
| 1, 63
|
| 1, 50
| 1, 54
| 1, 47
| 1, 56
| 1, 45
| 1, 59
| 1, 43
| 1, 61
| 1, 41
| 1, 64
|
| 1, 51
| 1, 55
| 1, 49
| 1, 57
| 1, 47
| 1, 60
| 1, 45
| 1, 62
| 1, 42
| 1, 64
|
| 1, 52
| 1, 56
| 1, 50
| 1, 58
| 1, 48
| 1, 60
| 1, 46
| 1, 63
| 1, 44
| 1, 65
|
Додаток E. Критичні значення для відношення фон Неймана
|
|
|
|
|
|
|
|
|
| 0, 25
|
|
|
| 0, 00001
| 0, 00001
| 0, 00001
| 0, 00001
|
| 0, 00001
| 0, 30
|
|
|
| 0, 00007
| 0, 00007
| 0, 00005
| 0, 00004
| 0, 00002
| 0, 00003
| 0, 35
|
|
| 0, 00006
| 0, 00027
| 0, 00021
| 0, 00014
| 0, 00009
| 0, 00005
| 0, 00007
| 0, 40
|
|
| 0, 00047
| 0, 00065
| 0, 00047
| 0, 00031
| 0, 00019
| 0, 00012
| 0, 00016
| 0, 45
|
|
| 0, 00126
| 0, 00126
| 0, 00088
| 0, 00059
| 0, 00038
| 0, 00025
| 0, 00031
| 0, 50
|
| 0, 00038
| 0, 00246
| 0, 00214
| 0, 00150
| 0, 00103
| 0, 00069
| 0, 00046
| 0, 00055
| 0, 55
|
| 0, 00223
| 0, 00409
| 0, 00333
| 0, 00237
| 0, 00168
| 0, 00116
| 0, 00080
| 0, 00094
| 0, 60
|
| 0, 00493
| 0, 00615
| 0, 00486
| 0, 00355
| 0, 00259
| 0, 00185
| 0, 00132
| 0, 00152
| 0, 65
|
| 0, 00830
| 0, 00865
| 0, 00678
| 0, 00511
| 0, 00382
| 0, 00282
| 0, 00208
| 0, 00235
| 0, 70
|
| 0, 01225
| 0, 01161
| 0, 00913
| 0, 00710
| 0, 00544
| 0, 00414
| 0, 00313
| 0, 00351
| 0, 75
|
| 0, 01673
| 0, 01505
| 0, 01197
| 0, 00958
| 0, 00753
| 0, 00587
| 0, 00455
| 0, 00508
| 0, 80
| 0, 00356
| 0, 02171
| 0, 01900
| 0, 01534
| 0, 01263
| 0, 01015
| 0, 00809
| 0, 00642
| 0, 00714
| 0, 85
|
|