卡方分布表.doc

原文地址x2分布临界值表（卡方分布）
n＇
P
0.995
0.99
0.975
0.95
0.9
0.75
0.5
0.25
0.1
0.05
0.025
0.01
0.005
1
…
…
…
…
0.02
0.1
0.45
1.32
2.71
3.84
5.02
6.63
7.88
2
0.01
0.02
0.02
0.1
0.21
0.58
1.39
2.77
4.61
5.99
7.38
9.21
10.6
3
0.07
0.11
0.22
0.35
0.58
1.21
2.37
4.11
6.25
7.81
9.35
11.34
12.84
4
0.21
0.3
0.48
0.71
1.06
1.92
3.36
5.39
7.78
9.49
11.14
13.28
14.86
5
0.41
0.55
0.83
1.15
1.61
2.67
4.35
6.63
9.24
11.07
12.83
15.09
16.75
6
0.68
0.87
1.24
1.64
2.2
3.45
5.35
7.84
10.64
12.59
14.45
16.81
18.55
7
0.99
1.24
1.69
2.17
2.83
4.25
6.35
9.04
12.02
14.07
16.01
18.48
20.28
8
1.34
1.65
2.18
2.73
3.4
5.07
7.34
10.22
13.36
15.51
17.53
20.09
21.96
9
1.73
2.09
2.7
3.33
4.17
5.9
8.34
11.39
14.68
16.92
19.02
21.67
23.59
10
2.16
2.56
3.25
3.94
4.87
6.74
9.34
12.55
15.99
18.31
20.48
23.21
25.19
11
2.6
3.05
3.82
4.57
5.58
7.58
10.34
13.7
17.28
19.68
21.92
24.72
26.76
12
3.07
3.57
4.4
5.23
6.3
8.44
11.34
14.85
18.55
21.03
23.34
26.22
28.3
13
3.57
4.11
5.01
5.89
7.04
9.3
12.34
15.98
19.81
22.36
24.74
27.69
29.82
14
4.07
4.66
5.63
6.57
7.79
10.17
13.34
17.12
21.06
23.68
26.12
29.14
31.32
15
4.6
5.23
6.27
7.26
8.55
11.04
14.34
18.25
22.31
25
27.49
30.58
32.8
16
5.14
5.81
6.91
7.96
9.31
11.91
15.34
19.37
23.54
26.3
28.85
32
34.27
17
5.7
6.41
7.56
8.67
10.09
12.79
16.34
20.49
24.77
27.59
30.19
33.41
35.72
18
6.26
7.01
8.23
9.39
10.86
13.68
17.34
21.6
25.99
28.87
31.53
34.81
37.16
19
6.84
7.63
8.91
10.12
11.65
14.56
18.34
22.72
27.2
30.14
32.85
36.19
38.58
20
7.43
8.26
9.59
10.85
12.44
15.45
19.34
23.83
28.41
31.41
34.17
37.57
40
21
8.03
8.9
10.28
11.59
13.24
16.34
20.34
24.93
29.62
32.67
35.48
38.93
41.4
22
8.64
9.54
10.98
12.34
14.04
17.24
21.34
26.04
30.81
33.92
36.78
40.29
42.8
23
9.26
10.2
11.69
13.09
14.85
18.14
22.34
27.14
32.01
35.17
38.08
41.64
44.18
24
9.89
10.86
12.4
13.85
15.66
19.04
23.34
28.24
33.2
36.42
39.36
42.98
45.56
25
10.52
11.52
13.12
14.61
16.47
19.94
24.34
29.34
34.38
37.65
40.65
44.31
46.93
26
11.16
12.2
13.84
15.38
17.29
20.84
25.34
30.43
35.56
38.89
41.92
45.64
48.29
27
11.81
12.88
14.57
16.15
18.11
21.75
26.34
31.53
36.74
40.11
43.19
46.96
49.64
28
12.46
13.56
15.31
16.93
18.94
22.66
27.34
32.62
37.92
41.34
44.46
48.28
50.99
29
13.12
14.26
16.05
17.71
19.77
23.57
28.34
33.71
39.09
42.56
45.72
49.59
52.34
30
13.79
14.95
16.79
18.49
20.6
24.48
29.34
34.8
40.26
43.77
46.98
50.89
53.67
40
20.71
22.16
24.43
26.51
29.05
33.66
39.34
45.62
51.8
55.76
59.34
63.69
66.77
50
27.99
29.71
32.36
34.76
37.69
42.94
49.33
56.33
63.17
67.5
71.42
76.15
79.49
60
35.53
37.48
40.48
43.19
46.46
52.29
59.33
66.98
74.4
79.08
83.3
88.38
91.95
70
43.28
45.44
48.76
51.74
55.33
61.7
69.33
77.58
85.53
90.53
95.02
100.42
104.22
80
51.17
53.54
57.15
60.39
64.28
71.14
79.33
88.13
96.58
101.88
106.63
112.33
116.32
90
59.2
61.75
65.65
69.13
73.29
80.62
89.33
98.64
107.56
113.14
118.14
124.12
128.3
100
67.33
70.06
74.22
77.93
82.36
90.13
99.33
109.14
118.5
124.34
129.56
135.81
140.17

t检查（t-test）临界值表（临界置信水平）  
n’
P(2):
0.5
0.2
0.1
0.05
0.02
0.01
0.005
0.002
0.001

P(1):
0.25
0.1
0.05
0.025
0.01
0.005
0.0025
0.001
0.0005
1

1
3.078
6.314
12.706
31.821
63.657
127.321
318.309
636.619
2

0.816
1.886
2.92
4.303
6.965
9.925
14.089
22.327
31.599
3

0.765
1.638
2.353
3.182
4.541
5.841
7.453
10.215
12.924
4

0.741
1.533
2.132
2.776
3.747
4.604
5.598
7.173
8.61
5

0.727
1.476
2.015
2.571
3.365
4.032
4.773
5.893
6.869
6

0.718
1.44
1.943
2.447
3.143
3.707
4.317
5.208
5.959
7

0.711
1.415
1.895
2.365
2.998
3.499
4.029
4.785
5.408
8

0.706
1.397
1.86
2.306
2.896
3.355
3.833
4.501
5.041
9

0.703
1.383
1.833
2.262
2.821
3.25
3.69
4.297
4.781
10

0.7
1.372
1.812
2.228
2.764
3.169
3.581
4.144
4.587
11

0.697
1.363
1.796
2.201
2.718
3.106
3.497
4.025
4.437
12

0.695
1.356
1.782
2.179
2.681
3.055
3.428
3.93
4.318
13

0.694
1.35
1.771
2.16
2.65
3.012
3.372
3.852
4.221
14

0.692
1.345
1.761
2.145
2.624
2.977
3.326
3.787
4.14
15

0.691
1.341
1.753
2.131
2.602
2.947
3.286
3.733
4.073
16

0.69
1.337
1.746
2.12
2.583
2.921
3.252
3.686
4.015
17

0.689
1.333
1.74
2.11
2.567
2.898
3.222
3.646
3.965
18

0.688
1.33
1.734
2.101
2.552
2.878
3.197
3.61
3.922
19

0.688
1.328
1.729
2.093
2.539
2.861
3.174
3.579
3.883
20

0.687
1.325
1.725
2.086
2.528
2.845
3.153
3.552
3.85
21

0.686
1.323
1.721
2.08
2.518
2.831
3.135
3.527
3.819
22

0.686
1.321
1.717
2.074
2.508
2.819
3.119
3.505
3.792
23

0.685
1.319
1.714
2.069
2.5
2.807
3.104
3.485
3.768
24

0.685
1.318
1.711
2.064
2.492
2.797
3.091
3.467
3.745
25

0.684
1.316
1.708
2.06
2.485
2.787
3.078
3.45
3.725
26

0.684
1.315
1.706
2.056
2.479
2.779
3.067
3.435
3.707
27

0.684
1.314
1.703
2.052
2.473
2.771
3.057
3.421
3.69
28

0.683
1.313
1.701
2.048
2.467
2.763
3.047
3.408
3.674
29

0.683
1.311
1.699
2.045
2.462
2.756
3.038
3.396
3.659
30

0.683
1.31
1.697
2.042
2.457
2.75
3.03
3.385
3.646
31

0.682
1.309
1.696
2.04
2.453
2.744
3.022
3.375
3.633
32

0.682
1.309
1.694
2.037
2.449
2.738
3.015
3.365
3.622
33

0.682
1.308
1.692
2.035
2.445
2.733
3.008
3.356
3.611
34

0.682
1.307
1.091
2.032
2.441
2.728
3.002
3.348
3.601
35

0.682
1.306
1.69
2.03
2.438
2.724
2.996
3.34
3.591
36

0.681
1.306
1.688
2.028
2.434
2.719
2.99
3.333
3.582
37

0.681
1.305
1.687
2.026
2.431
2.715
2.985
3.326
3.574
38

0.681
1.304
1.686
2.024
2.429
2.712
2.98
3.319
3.566
39

0.681
1.304
1.685
2.023
2.426
2.708
2.976
3.313
3.558
40

0.681
1.303
1.684
2.021
2.423
2.704
2.971
3.307
3.551
50

0.679
1.299
1.676
2.009
2.403
2.678
2.937
3.261
3.496
60

0.679
1.296
1.671
2
2.39
2.66
2.915
3.232
3.46
70

0.678
1.294
1.667
1.994
2.381
2.648
2.899
3.211
3.436
80

0.678
1.292
1.664
1.99
2.374
2.639
2.887
3.195
3.416
90

0.677
1.291
1.662
1.987
2.368
2.632
2.878
3.183
3.402
100

0.677
1.29
1.66
1.984
2.364
2.626
2.871
3.174
3.39
200

0.676
1.286
1.653
1.972
2.345
2.601
2.839
3.131
3.34
500

0.675
1.283
1.648
1.965
2.334
2.586
2.82
3.107
3.31
1000

0.675
1.282
1.646
1.962
2.33
2.581
2.813
3.098
3.3
∝

0.6745
1.2816
1.6449
1.96
2.3263
2.5758
2.807
3.0902

.本表中,假如显著性水平a=0.05,则1-a/2=0.975,到表中找0.975,可以看到表的行和列值是1.96,即为Z在0.05显著性水平上的临界值.