BẢNG TRA MÔN KINH TẾ LƯỢNG

PHỤ LỤC
BẢNG 1: GIÁ TRỊ CỦA PHÂN PHỐI CHUẨN HÓA
Z : N (0,1); P (0 £ Z £ Za 2) = 0.5 - a / 2
z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6

2.7
2.8
2.9
3.0
z

0.00
0.000000
0.039828
0.079260
0.117911
0.155422
0.191462
0.225747
0.258036
0.288145
0.315940
0.341345
0.364334
0.384930
0.403200
0.419243
0.433193
0.445201
0.455435
0.464070
0.471283
0.477250
0.482136
0.486097

0.489276
0.491802
0.493790
0.495339
0.496533
0.497445
0.498134
0.498650
0.05

0.01
0.003989
0.043795
0.083166
0.121720
0.159097
0.194974
0.229069
0.261148
0.291030
0.318589
0.343752
0.366500
0.386861
0.404902
0.420730
0.434478
0.446301
0.456367
0.464852

0.471933
0.477784
0.482571
0.486447
0.489556
0.492024
0.493963
0.495473
0.496636
0.497523
0.498193
0.498694
0.06

0.02
0.007978
0.047758
0.087064
0.125516
0.162757
0.198468
0.232371
0.264238
0.293892
0.321214
0.346136
0.368643
0.388768
0.406582
0.422196

0.435745
0.447384
0.457284
0.465620
0.472571
0.478308
0.482997
0.486791
0.489830
0.492240
0.494132
0.495604
0.496736
0.497599
0.498250
0.498736
0.07

0.03
0.011966
0.051717
0.090954
0.129300
0.166402
0.201944
0.235653
0.267305
0.296731
0.323814
0.348495

0.370762
0.390651
0.408241
0.423641
0.436992
0.448449
0.458185
0.466375
0.473197
0.478822
0.483414
0.487126
0.490097
0.492451
0.494297
0.495731
0.496833
0.497673
0.498305
0.498777
0.08

0.04
0.015953
0.055670
0.094835
0.133072
0.170031
0.205401
0.238914

0.270350
0.299546
0.326391
0.350830
0.372857
0.392512
0.409877
0.425066
0.438220
0.449497
0.459070
0.467116
0.473810
0.479325
0.483823
0.487455
0.490358
0.492656
0.494457
0.495855
0.496928
0.497744
0.498359
0.498817
0.09


0.0
0.1
0.2

0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0

0.019939

0.059618
0.098706
0.136831
0.173645
0.208840
0.242154
0.273373
0.302337
0.328944
0.353141
0.374928
0.394350
0.411492
0.426471
0.439429
0.450529
0.459941
0.467843
0.474412
0.479818
0.484222
0.487776
0.490613
0.492857
0.494614
0.495975
0.497020
0.497814
0.498411
0.498856

0.023922
0.063559
0.102568
0.140576
0.177242
0.212260
0.245373
0.276373
0.305105
0.331472
0.355428
0.376976
0.396165
0.413085
0.427855
0.440620
0.451543
0.460796
0.468557
0.475002
0.480301
0.484614
0.488089
0.490863
0.493053
0.494766
0.496093
0.49711
0.497882

0.498462
0.498893

0.027903
0.067495
0.106420
0.144309
0.180822
0.215661
0.248571
0.279350
0.307850
0.333977
0.35769
0.379000
0.397958
0.414657
0.429219
0.441792
0.452540
0.461636
0.469258
0.475581
0.480774
0.484997
0.488396
0.491106
0.493244
0.494915
0.496207

0.497197
0.497948
0.498511
0.498930

0.031881
0.071424
0.110261
0.148027
0.184386
0.219043
0.251748
0.282305
0.310570
0.336457
0.359929
0.381000
0.399727
0.416207
0.430563
0.442947
0.453521
0.462462
0.469946
0.476148
0.481237
0.485371
0.488696
0.491344
0.493431

0.495060
0.496319
0.497282
0.498012
0.498559
0.498965

0.035856
0.075345
0.114092
0.151732
0.187933
0.222405
0.254903
0.285236
0.313267
0.338913
0.362143
0.382977
0.401475
0.417736
0.431888
0.444083
0.454486
0.463273
0.470621
0.476705
0.481691
0.485738
0.488989

0.491576
0.493613
0.495201
0.496427
0.497365
0.498074
0.498605
0.498999

BẢNG 2: GIÁ TRỊ TỚI HẠN CỦA PHÂN PHỐI
STUDENT (T)

P(T ≥ tα(n ) ) = α
n

α

0.100

0.050

0.025

0.010

0.005

0.001

5

6
7

1.476
1.440
1.415

2.015
1.943
1.895

2.571
2.447
2.365

3.365
3.143
2.998

4.032
3.707
3.499

5.893
5.208
4.785


8
9

10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
50
60
70
80
90
100
120
∞

1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.303
1.299
1.296
1.294
1.292
1.291

1.290
1.289
1.282

1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.684
1.676
1.671

1.667
1.664
1.662
1.660
1.658
1.645

2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042

2.021
2.009
2.000
1.994
1.990
1.987
1.984
1.980
1.960

2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473

2.467
2.462
2.457
2.423
2.403
2.390
2.381
2.374
2.368
2.364
2.358
2.326

3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797

2.787
2.779
2.771
2.763
2.756
2.750
2.704
2.678
2.660
2.648
2.639
2.632
2.626
2.617
2.576

4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527

3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.307
3.261
3.232
3.211
3.195
3.183
3.174
3.160
3.090

BẢNG 3: GIÁ TRỊ TỚI HẠN CỦA PHÂN PHỐI
FISHER (F)

P( F ≥ Fα( n1 ,n2 ) ) = α
n2
5

α
0.1
0.05
0.01

1
4.06
6.61
16.2
6

n1
4
3.52
5.19

2
3.78
5.79

3
3.62
5.41

5
3.45
5.05

6
3.40
4.95

7
3.37

4.88

13.27

12.06 11.39 10.97

10.67

10.46


n2
6

7

8

9

10

11
12
13
14
15
16
17

α
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05

0.01
0.1
0.05
0.01
0.1

1
3.78
5.99
13.7
5
3.59
5.59
12.2
5
3.46
5.32
11.26
3.36
5.12
10.5
6
3.29
4.96
10.0
4
3.23
4.84
9.65
3.18

4.75
9.33
3.14
4.67
9.07
3.10
4.60
8.86
3.07
4.54
8.68
3.05
4.49
8.53
3.03

2
3.46
5.14

3
3.29
4.76

n1
4
3.18
4.53

5

3.11
4.39

6
3.05
4.28

7
3.01
4.21

10.92
3.26
4.74

9.78
3.07
4.35

9.15
2.96
4.12

8.75
2.88
3.97

8.47
2.83
3.87

8.26
2.78
3.79

9.55
3.11
4.46
8.65
3.01
4.26

8.45
2.92
4.07
7.59
2.81
3.86

7.85
2.81
3.84
7.01
2.69
3.63

7.46
2.73
3.69
6.63

2.61
3.48

7.19
2.67
3.58
6.37
2.55
3.37

6.99
2.62
3.50
6.18
2.51
3.29

8.02
2.92
4.10

6.99
2.73
3.71

6.42
2.61
3.48

6.06

2.52
3.33

5.80
2.46
3.22

5.61
2.41
3.14

7.56
2.86
3.98
7.21
2.81
3.89
6.93
2.76
3.81
6.70
2.73
3.74
6.51
2.70
3.68
6.36
2.67
3.63
6.23

2.64

6.55
2.66
3.59
6.22
2.61
3.49
5.95
2.56
3.41
5.74
2.52
3.34
5.56
2.49
3.29
5.42
2.46
3.24
5.29
2.44

5.99
2.54
3.36
5.67
2.48
3.26
5.41

2.43
3.18
5.21
2.39
3.11
5.04
2.36
3.06
4.89
2.33
3.01
4.77
2.31

5.64
2.45
3.20
5.32
2.39
3.11
5.06
2.35
3.03
4.86
2.31
2.96
4.69
2.27
2.90
4.56

2.24
2.85
4.44
2.22

5.39
2.39
3.09
5.07
2.33
3.00
4.82
2.28
2.92
4.62
2.24
2.85
4.46
2.21
2.79
4.32
2.18
2.74
4.20
2.15

5.20
2.34
3.01
4.89

2.28
2.91
4.64
2.23
2.83
4.44
2.19
2.76
4.28
2.16
2.71
4.14
2.13
2.66
4.03
2.10


n2

18
19
20
21
22
23
24
25
26
27

28
29
30
40
50
60
70
80
90
100
110
120

α
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.1
0.05
0.01
0.05
0.05
0.05
0.05
0.05

0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05
0.05

1
4.45
8.40
3.01
4.41
8.29
2.99
4.38
8.18
2.97
4.35
8.10
4.32
4.30
4.28

4.26
4.24
4.23
4.21
4.20
4.18
4.17
4.08
4.03
4.00
3.98
3.96
3.95
3.94
3.93
3.92

2
3.59
6.11
2.62
3.55
6.01
2.61
3.52
5.93
2.59
3.49
5.85
3.47

3.44
3.42
3.40
3.39
3.37
3.35
3.34
3.33
3.32
3.23
3.18
3.15
3.13
3.11
3.10
3.09
3.08
3.07

3
3.20
5.18
2.42
3.16
5.09
2.40
3.13
5.01
2.38
3.10

4.94
3.07
3.05
3.03
3.01
2.99
2.98
2.96
2.95
2.93
2.92
2.84
2.79
2.76
2.74
2.72
2.71
2.70
2.69
2.68

n1
4
2.96
4.67
2.29
2.93
4.58
2.27
2.90

4.50
2.25
2.87
4.43
2.84
2.82
2.80
2.78
2.76
2.74
2.73
2.71
2.70
2.69
2.61
2.56
2.53
2.50
2.49
2.47
2.46
2.45
2.45

5
2.81
4.34
2.20
2.77
4.25

2.18
2.74
4.17
2.16
2.71
4.10
2.68
2.66
2.64
2.62
2.60
2.59
2.57
2.56
2.55
2.53
2.45
2.40
2.37
2.35
2.33
2.32
2.31
2.30
2.29

6
2.70
4.10
2.13

2.66
4.01
2.11
2.63
3.94
2.09
2.60
3.87
2.57
2.55
2.53
2.51
2.49
2.47
2.46
2.45
2.43
2.42
2.34
2.29
2.25
2.23
2.21
2.20
2.19
2.18
2.18

7
2.61

3.93
2.08
2.58
3.84
2.06
2.54
3.77
2.04
2.51
3.70
2.49
2.46
2.44
2.42
2.40
2.39
2.37
2.36
2.35
2.33
2.25
2.20
2.17
2.14
2.13
2.11
2.10
2.09
2.09

BẢNG 4: GIÁ TRỊ TỚI HẠN CỦA PHÂN PHỐI

( χ ) . P( χ
2

KHI BÌNH PHƯƠNG
n

α

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19

20
21
22
23
24
25
26
27
28
29
30
40
50
60
70
80
90
100
110
120

2

≥ χ α( n ) ) = α

0.995

0.99

0.975

0.95

0.9

0.75

3.92704E05
0.0100
0.0717
0.2070
0.4117
0.6757
0.9893
1.3444
1.7349
2.1559
2.6032
3.0738
3.5650
4.0747
4.6009
5.1422
5.6972
6.2648
6.8440
7.4338
8.0337
8.6427
9.2604

9.8862
10.5197
11.1602
11.8076
12.4613
13.1211
13.7867
20.7065
27.9907
35.5345
43.2752
51.1719
59.1963
67.3276
75.5500
83.8516

0.00015
7
0.0201
0.1148
0.2971
0.5543
0.8721
1.2390
1.6465
2.0879
2.5582
3.0535
3.5706

4.1069
4.6604
5.2293
5.8122
6.4078
7.0149
7.6327
8.2604
8.8972
9.5425
10.1957
10.8564
11.5240
12.1981
12.8785
13.5647
14.2565
14.9535
22.1643
29.7067
37.4849
45.4417
53.5401
61.7541
70.0649
78.4583
86.9233

0.00098
2

0.0506
0.2158
0.4844
0.8312
1.2373
1.6899
2.1797
2.7004
3.2470
3.8157
4.4038
5.0088
5.6287
6.2621
6.9077
7.5642
8.2307
8.9065
9.5908
10.2829
10.9823
11.6886
12.4012
13.1197
13.8439
14.5734
15.3079
16.0471
16.7908
24.4330

32.3574
40.4817
48.7576
57.1532
65.6466
74.2219
82.8671
91.5726

0.00393
2
0.1026
0.3518
0.7107
1.1455
1.6354
2.1673
2.7326
3.3251
3.9403
4.5748
5.2260
5.8919
6.5706
7.2609
7.9616
8.6718
9.3905
10.1170
10.8508

11.5913
12.3380
13.0905
13.8484
14.6114
15.3792
16.1514
16.9279
17.7084
18.4927
26.5093
34.7643
43.1880
51.7393
60.3915
69.1260
77.9295
86.7916
95.7046

0.01579
1
0.2107
0.5844
1.0636
1.6103
2.2041
2.8331
3.4895
4.1682

4.8652
5.5778
6.3038
7.0415
7.7895
8.5468
9.3122
10.0852
10.8649
11.6509
12.4426
13.2396
14.0415
14.8480
15.6587
16.4734
17.2919
18.1139
18.9392
19.7677
20.5992
29.0505
37.6886
46.4589
55.3289
64.2778
73.2911
82.3581
91.4710
100.623

0.10153
1
0.5754
1.2125
1.9226
2.6746
3.4546
4.2549
5.0706
5.8988
6.7372
7.5841
8.4384
9.2991
10.1653
11.0365
11.9122
12.7919
13.6753
14.5620
15.4518
16.3444
17.2396
18.1373
19.0373
19.9393
20.8434
21.7494
22.6572

23.5666
24.4776
33.6603
42.9421
52.2938
61.6983
71.1445
80.6247
90.1332
99.6660
109.219


n

α

α

0.995

0.99

0.975

0.95

n
1
2

3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
50

60

0.25

0.1

0.05

0.025

1.3233
2.7726
4.1083
5.3853
6.6257
7.8408
9.0371
10.2189
11.3888
12.5489
13.7007
14.8454
15.9839
17.1169
18.2451
19.3689
20.4887
21.6049
22.7178
23.8277

24.9348
26.0393
27.1413
28.2412
29.3389
30.4346
31.5284
32.6205
33.7109
34.7997
45.6160
56.3336
66.9815

2.7055
4.6052
6.2514
7.7794
9.2364
10.6446
12.0170
13.3616
14.6837
15.9872
17.2750
18.5493
19.8119
21.0641
22.3071
23.5418

24.7690
25.9894
27.2036
28.4120
29.6151
30.8133
32.0069
33.1962
34.3816
35.5632
36.7412
37.9159
39.0875
40.2560
51.8051
63.1671
74.3970

3.8415
5.9915
7.8147
9.4877
11.0705
12.5916
14.0671
15.5073
16.9190
18.3070
19.6751
21.0261

22.3620
23.6848
24.9958
26.2962
27.5871
28.8693
30.1435
31.4104
32.6706
33.9244
35.1725
36.4150
37.6525
38.8851
40.1133
41.3371
42.5570
43.7730
55.7585
67.5048
79.0819

5.0239
7.3778
9.3484
11.1433
12.8325
14.4494
16.0128
17.5345

19.0228
20.4832
21.9200
23.3367
24.7356
26.1189
27.4884
28.8454
30.1910
31.5264
32.8523
34.1696
35.4789
36.7807
38.0756
39.3641
40.6465
41.9232
43.1945
44.4608
45.7223
46.9792
59.3417
71.4202
83.2977

70

77.5767

0.9

0.75

6

7

0.01

6.6349
9.2103
11.3449
13.2767
15.0863
16.8119
18.4753
20.0902
21.6660
23.2093
24.7250
26.2170
27.6882
29.1412
30.5779
31.9999
33.4087
34.8053
36.1909
37.5662

38.9322
40.2894
41.6384
42.9798
44.3141
45.6417
46.9629
48.2782
49.5879
50.8922
63.6907
76.1539
88.3794
100.425
85.5270 90.5312 95.0232
2

0.005
7.8794
10.5966
12.8382
14.8603
16.7496
18.5476
20.2777
21.9550
23.5894
25.1882
26.7568
28.2995

29.8195
31.3193
32.8013
34.2672
35.7185
37.1565
38.5823
39.9968
41.4011
42.7957
44.1813
45.5585
46.9279
48.2899
49.6449
50.9934
52.3356
53.6720
66.7660
79.4900
91.9517
104.214
9


80

88.1303

90

10
0
11
0
12
0

98.6499
109.1412
119.6084
130.0546

96.5782
107.565
0
118.498
0
129.385
1
140.232
6

101.879
5
113.145
3
124.342
1
135.480
2

146.567
4

106.628
6
118.135
9
129.561
2
140.916
6
152.211
4

112.328
8
124.116
3
135.806
7
147.414
3
158.950
2

116.321
1
128.298
9
140.169

5
151.948
5
163.648
2


BẢNG 5: GIÁ TRỊ DL VÀ DU CỦA THỐNG KÊ

a = 5%
DURBIN - WATSON (D)
n
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22

k’=1
dL
dU
0.61 1.40
0
0
0.70 1.35
0
6
0.76 1.33
3
2
0.92 1.32
4
0
0.87 1.32
9
0
0.92 1.32
7
4
0.97 1.33
1
1
1.01 1.34
0
0
1.04 1.35
5
0

1.07 1.36
7
1
1.10 1.37
6
1
1.13 1.38
3
1
1.15 1.39
8
1
1.18 1.40
0
1
1.20 1.41
1
1
1.22 1.42
1
0
1.23 1.42
9
9

k’=2
dL
dU
-0.46
7

0.55
9
0.62
9
1.32
0
1.32
4
1.33
1
0.86
1
0.60
5
0.94
6
0.98
2
1.01
5
1.04
6
1.07
4
1.10
0
1.12
5
1.14
7

-1.89
6
1.77
7
1.69
9
0.69
7
0.65
8
0.81
2
1.56
2
1.55
1
1.54
3
1.53
9
1.53
6
1.53
5
1.53
6
1.53
7
1.53

8
1.54
1

k’=3
dL
dU

k’=4
dL
dU

k’=5
dL
dU

--

--

--

--

--

--

-0.36
8

0.44
5
0.52
5
0.59
5
0.65
8
0.71
5
0.76
7
0.81
4
0.85
7
0.89
7
0.93
3
0.96
7
0.99
8
1.02
6
1.05
3

-2.28

7
2.12
8
2.01
6
1.92
8
1.83
4
1.81
6
1.77
9
1.75
0
1.72
8
1.71
0
1.69
6
1.68
5
1.67
6
1.69
9
1.66
4

--

--

--

--

-0.29
6
0.37
6
0.44
4
0.51
2
0.57
4
0.63
2
0.68
5
0.73
4
0.77
9
0.82
0
0.85
9

0.89
4
0.92
7
0.95
8

-2.58
8
2.41
4
2.28
3
2.17
7
2.09
4
2.03
0
1.97
7
1.93
5
1.90
0
1.87
2
1.84
8
1.82

8
1.81
2
1.79
7

--

--

-0.24
3
0.31
6
0.37
9
0.44
5
0.50
5
0.56
2
0.61
5
0.66
4
0.71
0
0.75
2

0.79
2
0.82
9
0.86
3

-2.88
2
2.64
5
2.50
6
2.39
0
2.29
6
2.22
0
2.15
7
2.10
4
2.06
0
2.02
0
1.99
1
1.96

4
1.94
0


23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
50
60

1.25
7
1.27
3

1.28
8
1.30
2
1.31
6
1.32
8
1.34
1
1.35
2
1.36
3
1.37
3
1.38
3
1.39
3
1.40
2
1.41
1
1.41
9
1.42
7
1.43
5

1.34
2
1.50
3
1.54
9

1.43
7
1.44
6
1.45
4
1.46
1
1.49
6
1.47
6
1.48
3
1.48
9
1.49
6
1.50
2
1.50
8
1.51

4
1.51
9
1.52
6
1.53
0
1.53
5
1.54
0
1.54
4
1.58
5
1.61
6

1.16
8
1.18
8
1.20
6
1.22
4
1.24
0
1.25
5

1.27
0
1.28
1
1.29
7
1.30
9
1.32
1
1.33
3
1.34
3
1.35
1
1.36
1
1.37
3
1.38
2
1.39
1
1.46
2
1.51
4

1.54

3
1.54
6
1.55
0
1.55
3
1.55
6
1.56
0
1.56
3
1.56
7
1.57
0
1.57
4
1.57
7
1.58
0
1.58
4
1.58
7
1.59
0
1.59

4
1.59
7
1.60
0
1.62
8
1.65
2

1.07
8
1.10
1
1.12
3
1.14
3
1.16
2
1.18
1
1.19
8
1.21
4
1.22
9
1.22
4

1.25
8
1.27
1
1.28
3
1.29
5
1.30
7
1.31
8
1.32
8
1.33
8
1.42
1
1.48
0

1.66
0
1.65
6
1.65
4
1.65
2
1.65

1
1.65
0
1.65
0
1.65
0
1.65
0
1.65
0
1.65
1
1.65
2
1.65
3
1.65
4
1.65
5
1.65
6
1.65
8
1.65
9
1.67
4
1.68

9

0.98
6
1.10
3
1.03
8
1.06
2
1.08
4
1.10
4
1.12
4
1.14
3
1.16
0
1.17
7
1.19
3
1.20
8
1.22
2
1.23
6

1.24
9
1.26
1
1.27
3
1.28
5
1.37
8
1.44
4

1.78
5
1.77
5
1.76
7
1.75
9
1.85
3
1.74
7
1.73
4
1.73
9
1.73

5
1.73
2
1.73
0
1.72
8
1.72
6
1.72
4
1.72
3
1.72
2
1.72
2
1.82
1
1.72
1
1.72
7

0.85
9
0.92
5
0.95
3

0.97
9
1.00
4
1.02
8
1.05
0
1.07
1
1.09
0
1.10
9
1.12
7
1.14
4
1.16
0
1.17
5
1.19
0
1.20
4
1.21
8
1.23
0

1.33
5
1.10
8

1.92
0
1.90
2
1.88
6
1.87
3
1.86
1
1.85
0
1.84
1
1.83
3
1.82
5
1.81
9
1.81
3
1.80
8
1.80

3
1.79
9
1.79
5
1.79
2
1.78
9
1.78
6
1.77
1
1.76
7


80
10
0
15
0

1.61
1
1.65
4
1.75
8

1.66
2
1.69
4
1.77
8

1.58
6
1.63
4
1.74
8

k’=6

n

1.68
8
1.71
5
1.78
9

1.56
0
1.61
3
1.73

8

1.71
5
1.73
6
1.79
9

k’=7

1.53
4
1.59
2
1.72
8

1.74
3
1.78
8
1.81
0

k’=8

1.50
7
1.57

1
1.71
8

1.77
2
1.78
0
1.82
0

k’=9

k’=10

dL

dU

dL

dU

dL

dU

dL

dU

dL

dU

6

--

--

--

--

--

--

--

--

--

--

7

--

--

--

--

--

--

--

--

--

--

8

--

--

--

--

--

--

--

--

--

--

9

--

--

--

--

--

--

--

--

--

--

10

--

--

--

--

--

--

--

--

--

--

--

--

--

--

--

12

0.268

0.171

3.149

--

--

0.230

2.985

-3.26
6

--

0.328
0.38
9
0.44

7
0.50
2
0.55
4
0.60
3
0.64
9
0.69
2
0.73
2

-0.14
7

--

13

-3.00
5
2.83
2
2.69
2
2.57
2
2.47

2
2.38
8
2.31
8
2.25
7
2.20
6
2.16
2
2.12
4

--

11

-0.20
3

--

--

--

0.286

2.848 0.200

0.25
2.727
1
0.30
2.624
4
0.35
2.537
6
0.40
2.461
7
0.45
2.396
6
0.50
2.339
2
0.54
2.290
7

3.111
2.97
9
2.86
0
2.75
7
2.66

7
2.58
9
2.52
1
2.46
0

0.127
0.17
5

-3.36
0
3.21
6
3.09
0
2.97
5
2.87
3
2.78
3
2.70
4
2.63
3

--

--

0.111
0.15
5

3.438

0.198
0.24
4
0.29
0
0.33
6

3.184

0.380

2.806

14
15
16
17
18
19
20

21

0.343
0.398
0.451
0.502
0.549
0.595
0.637

0.222
0.24
2
0.32
1
0.36
9
0.41
6
0.46
1

3.304

3.073
2.974
2.885


22

0.76
9

23

0.804

24

0.837

25

0.868

26

0.897
0.92
5
0.95
1
0.97
5
0.99
8

27
28

29
30
31
32

1.020
1.04
1

33

1.061

34

1.080
1.09
7

35
36
37
38
39
40
50

1.114
1.13
1

1.14
6
1.161
1.17
5
1.29
1

2.09
0
2.06
1
2.03
5
2.01
2
1.99
2
1.97
4
1.95
8
1.94
4
1.93
1
1.92
0
1.90
9

1.90
0
1.89
1
1.88
4
1.87
7
1.87
0
1.86
4
1.85
9
1.85
4
1.82
2

0.677

2.246 0.588

0.715

2.208 0.628

0.751

2.174 0.666

0.784
0.816

2.144 0.702
0.73
2.117
5

0.845

2.093 0.767

0.874

2.071 0.798

0.900
0.926

2.052 0.826
0.85
2.034
4

0.950

2.018 0.879

0.972

1.053

2.004 0.804
0.92
1.991
7
0.95
1.979
0
0.97
1.967
1
0.99
1.957
1

1.071

1.948

1.088

1.939

1.104

1.932

1.120

1.924

1.246

1.875 1.201

0.994
1.015
1.034

1.011
1.02
9
1.04
7
1.06
4

2.40
7
2.36
0
2.31
8
2.28
0
2.24
6
2.21

6
2.18
8
2.16
4
2.14
1
2.12
0
2.10
2
2.08
5
2.06
9
2.05
4
2.04
1
2.02
9
2.01
7
2.00
7
1.99
7
1.93
0

0.50
4
0.54
5
0.581
0.621
0.65
7
0.69
1
0.823
0.85
3
0.872
0.810
0.836
0.861
0.885
0.908
0.93
0
0.851
0.97
0
0.99
0
1.008
1.15
6

2.57
1
2.51
4
2.46
4
2.41
9
2.37
9
2.34
2
2.30
9
2.27
8
2.25
1
2.22
6
2.20
3
2.18
1
2.16
2
2.14
4
2.12
7

0.42
4
0.46
5
0.50
6
0.54
4
0.581

2.734
2.670
2.613
2.560
2.513

0.616 2.470
0.65
0
2.431
0.682

2.396

0.712
0.74
1
0.76
9

0.79
5

2.363

0.821
0.84
5

2.257

0.868

2.216

2.112 0.891
2.09 0.91
8
2
2.08 0.93
5
2
2.07 0.95
2
2
1.98
3
1.110

2.198

2.333
2.306
2.281

2.236

2.180
2.064
2.149
2.044


60

1.37
2

80
10
0
15
0

1.480
1.55
0
1.65
1

1.80
8
1.80
1
1.80
3
1.81
7

1.335

1.528

1.850 1.298
1.42
1.831
5
1.50
1.826
6

1.637

1.832 1.622

1.453

1.26
0
1.39

7
1.48
4
1.84
7

1.93
9
1.89
3
1.87
4
1.86
2

1.260
1.39
7
1.48
4
1.608

1.222
1.36
9
1.46
2
1.59
4

1.984
1.925
1.898
1.877

BẢNG 6a: GIÁ TRỊ TỚI HẠN DƯỚI

a = 5%
VỀ CÁC ĐOẠN MẠCH
n2
n1

2

3

4

5

6

7

8

9

10

11

2
3
4

12

13

14

15

16

17

18

19

20

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

3

3

3

3

3

3

2

2

2

3

3

3

3

3

3

3

3

4

4

4

4

4

5

2

2

2

3

3

3

3

3

4

4

4

4

4

4

4

5

5

5

6

2

2

3

3

3

3

4

4

4

4

5

5

5

5

5

6

6

6

7

2

2

3

3

3

4

4

5

5

5

5

5

6

6

6

6

6

6

8

2

3

3

3

4

4

5

5

5

6

6

6

6

6

7

7

7

7

9

2

3

3

4

4

5

5

5

6

6

6

7

7

7

7

8

8

8

10

2

3

3

4

5

5

5

6

6

7

7

7

7

8

8

8

8

9

11

2

3

4

4

5

5

6

6

7

7

7

8

8

8

9

9

9

9

12

2

3

4

4

5

6

6

7

7

7

8

8

8

9

9

9

10

10

13

2

3

4

5

5

6

6

7

7

8

8

9

9

9

10

10

10

10

14

2

3

4

5

5

6

7

7

8

8

9

9

9

10

10

10

11

11

15

3

3

4

5

6

6

7

7

8

8

9

9

10

10

11

11

11

12

16

3

4

4

5

6

6

7

8

8

9

9

10

10

11

11

11

12

12

17

3

4

4

5

6

7

7

8

9

9

10

10

11

11

11

12

12

13

18

3

4

5

5

6

7

8

8

9

9

10

10

11

11

12

12

13

13


19

3

4

5

6

6

7

8

8

9

10

10

11

11

12

12

13

13

13

20

3

4

5

6

6

7

8

8

9

10

10

11

12

12

13

13

13

14


BẢNG 6b: GIÁ TRỊ TỚI HẠN TRÊN

a = 5%
VỀ CÁC ĐOẠN MẠCH
n2
n1

2 3 4

5

6

9

9

1
0
1
0
1
1
1
1

1
0
1
1
1
2
1
2
1
3

1
3
1
3
1
3

7

8

9

1
0

1
1
1
2
1
3
1
3
1
4
1
4
1
4

1
4
1
5
1
5
1
5

1
1
1
2
1
4
1
4
1
4
1
5
1
5
1
6
1
6
1
6
1

6
1
7
1
7
1
7
1
7

1
3
1
4
1
4
1
5
1
6
1
6
1
6
1
7
1
7
1
8

1
8
1
8
1
8
1
8

1
3
1
4
1
5
1
6
1
6
1
7
1
7
1
8
1
8
1
8
1

9
1
9
1
9
2
0

1

1

2

11

1
2

1
3

1
4

1
5

1
6

1
7

1
8

1
9

2
0

1
5
1
6
1
7
1
8
1
9
1
9
2
0
2
0
2

1
2
1
2
2
2
2
2
3

1
5
1
6
1
7
1
8
1
9
2
0
2
0
2
1
2
2
2
2

2
3
2
3
2
3

1
6
1
8
1
8
1
9
2
0
2
1
2
2
2
2
2
3
2
3
2
4
2

4

1
7
1
8
1
9
2
0
2
1
2
1
2
2
2
3
2
3
2
4
2
5
2
5

1
7
1

8
1
9
2
0
2
1
2
2
2
3
2
3
2
4
2
5
2
5
2
6

1
7
1
8
1
9
2
0

2
1
2
2
2
3
2
4
2
5
2
5
2
6
2
6

1
7
1
8
2
0
2
1

2
3
2
3

2
4
2
5
2
6
2
6
2
7

1
7
1
8
2
0
2
1
2
2
2
3
2
4
2
5
2
5
2

6
2
7
2
7

2

2

2

2

2

2

2

2

2
3
4
5

9

6

9

7
8
9
1
0
1
1
1
2
1
3
1
4
1
5
1
6
1
7
1
8
1
9
2

13
14

15
16
17
17
18
19
19
19
20
20
20

1
3
1
5
1
6
1
6
1
7
1
8
1
9
1
9
2
0

2
0
2
1
2
1
2
1

21

2

21

2

2


0

7

8

0

2

3

4

5

5

6

7

7

8