统计分布临界值表.docx
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统计分布临界值表
附表一:
随机数表2
附表二:
标准正态分布表3
附表三:
t分布临界值表4
2
附表四:
分布临界值表5
附表五:
F分布临界值表(a=0.05)7
附表六:
单样本K-S检验统计量表9
附表七:
符号检验界域表10
附表八:
游程检验临界值表11
附表九:
相关系数临界值表12
附表十:
Spearman等级相关系数临界值表13
附表十一:
Kendall等级相关系数临界值表14
附表十二:
控制图系数表15
附表一:
随机数表
92459
46807
00742
98068
05715
91914
30368
76830
01471
31879
Q1990
61688
21317
58136
81372
324沟
89450
54188
15032
52447
56357
03811
01824
53455
88755
30122
02839
71763
19639
06246
36783
05003
71761
35852
40640
62630
26769
02587
44623
95577
8S822
11796
28561
27091
93013
64939
94299
98240
57450
18672
03478
8&017
30466
54463
32998
4582&
92196
84866
90728
60701
15272
84614
37104
33686
51283
72980
53589
61318
78649
06703
29596
47534
89805
95170
89816
58314
03649
64285
14682
12486
71904
81693
94887
45573
7687-1
74548
36851
18630
77916
78922
05201
51312
78986
27330
63194
98096
93212
74891
55099
02678
16510
95406
39078
31468
43577
67990
11287
27068
37874
61734
83316
94852
73159
76123
05010
08393
62827
13728
34709
39578
19962
86326
99855
14146
28341
93570
34163
59623
14103
63367
66852
52392
32115
7&977
80723
96562
19388
64446
73949
83823
84161
37020
79694
35717
73417
15617
93437
46981
94838
12418
58837
30960
84272
38937
27926
95403
61816
32202
11343
99925
12971
62671
87151
80924
08413
22879
51701
£4303
65556
20152
21036
13175
77916
31978
78896
69869
22225
13043
49858
81615
34152
24555
54366
40704
33)11
00490
53198
52317
7747S
30052
50434
17B00
99805
32819
71033
83674
84640
67470
60922
25920
74643
91686
64861
13547
47668
02710
11434
82867
40442
23126
30774
56770
07259
58864
02002
78870
29737
7907S
03891
96198
52766
31005
7J786
78399
41418
73730
44254
81034
81391
60870
30583
57645
02821
46759
21611
81875
75570
71403
95020
90567
11411
87731
95412
14734
68216
24237
64399
57190
62003
08072
附表二:
标准正态分布表
—严‘找iiw
J-tKv2ff
4>(-z>=1-4>(Z)
■y
0.00
0.U1
0.02
0.03
0.()4
0.05
0.06
0.07
0.08
0.09
u.o
1).5000
().5040
0.5080
»
0.5120
0.5160
0.5239
0.5279
0.5319
0,5359
0.1
0.539H
0.5438
0.5478
0.5517
0.5557
05596
0.5636
0.5675
0.5714
0,5753
0.2
0.5793
O.S832
0.5871
0.5910
a刘礬
0.59W7
0,6026
0,6064
U,6i03
0-6141
0.3
0.6179
06217
0.6255
0.6293
0.6331
0.636«
0.6406
0,6443
06480
0.6517
0.4
0.6554
0.659J
0,6628
0,6664
1000
0.6736
0.6772
0.61SUK
06844
0.6879
0,5
06915
0.6950
0.6985
07019
0.7054
0.7()«8
0.7123
07157
0.7190
0.7224
0.6
0.7257
0,7291
0.7324
0.7357
0.73^9
0.7422
0.7454
0.74S6
07517
0.7549
0.7
O.75M)
07611
0.7642
0.如3
0.7703
0.7734
0.7764
0,7794
07823
0.7852
0.8
a测
07910
0.7939
□.7967
0.7995
0.8023
0.8051
0.8078
08106
0.8133
0.9
0.8159
0.8186
0212
0.823K
O.K264
0.8289
0.8315
0.8340
0S365
0.8389
1.0
0B4L3
0.8438
U.K461
U.8485
O.85OR
0.8531
0.8554
(1.8577
0.8599
0.8621
1.1
0.8643
0.8665
asevb
0.8708
0^729
0.8749
O.S770
0.879()
0.8810
0.8830
12
0.S849
0.8869
O8SS8
0.8907
0.S925
0.8944
O.S962
U.89«()
0.8997
09015
1,3
0.9032
0,9049
0.9(166
0.9082
0.9U99
0.9115
0913〕
0.9147
0.9162
0.9177
1.4
0,9192
(1.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
1.5
0.9332
0.9545
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.944!
1.6
0.9452
0.9463
0.9474
0.94S4
0.9495
09505
0.9515
0.9525
0,9535
0.9545
1.7
0.9554
0.9564
0.9573
0.9582
0.9591
09599
0.960K
0.^616
0.9625
0.9633
1,8
0.9641
0.964S
U.%56
O.%64
0.9671
0.967B
0.W86
0.9693
09699
0.9706
1.9
0.9713
0.9719
0.9726
0.9732
0.9736
0.9744
0.975C
0.9756
09761
0.9767
2.0
0.9772
0劝&
0.97S3
0.9788
0.9793
Q.^798
0.9K03
0.9808
0,9812
0,9817
2J
0.9821
0.9826
0.9830
O.9S34
0.9838
O.9S42
0.9846
0.9850
0,9854
0,9857
2.2
0.9861
09864
09®6«
09R7J
0.9875
0<)878
0.988J
0.9S84
0^87
0.98K
23
0,9893
D.9696
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
2,4
09918
U320
0.9922
0.9925
0.9927
Q.9929
0.Q93)
0.9*932
0.9934
0.9936
2.5
0.9938
0.9940
0.9941
0.9943
0.9945
0.9946
0^948
0.9949
0,9951
0.9952
2.6
0.9953
0.9955
0.995t
0,9957
0,9959
0,9960
0.9961
0.9962
0W63
0.9964
2.7
09965
0.9966
0.9967
0,9968
0,9969
0.9970
0.9971
0.9972
0.9973
0.9974
2.8
0,W7斗
0.9975
0.9976
0,9977
0.9977
0.9978
0.9979
0.9979
099B0
0.9981
2.9
09981
Q.9982
0.9982
0.9983
0.9984
0,99S4
0.99«5
0.9985
0.9986
U.99S6
3.0
0.9987
0.9987
O.99H7
0.998^
0.9988
0.9989
0.9989
0.9989
Q.9W0
0.9990
a
0.400
.030()
0200
0,100
0050
0,025
0.02D
0.010
0W5
0.001
3
0.253
0524
0842
1.282
1.645
1960
2.054
2326
2.576
3.090
ia/2
0.JU2
L036
1282
1.645
19W
2.240
2.326
2.576
2.807
3,291
附表三:
t分布临界值表
(查表时注意:
v是指自由度,并分单侧和双侧两种类型)
(左侧的示意图是单侧检验的情形)
a»0.1D
価
0.025
0,01
0.005
d=0.20
0.10
0.05
0.02
0.01
v=\
3.078
6.314
12.706
31.821
砧的
2
I.8S6
2.92D
4,303
6.965
3
I.&3S
2.353
3J82
4,541
5841
4
1,5阳
1132
2.776
3.747
4.604
5
1.476
2.CIS
2,571
3365
4血
6
L44O
l.W
2,447
3J43
3.707
7
1.415
1.89S
2.365
2,998
工祸
K
1.397
L.&60
23%
2.896
2J55
9
L383
1*33
2.262
2.82]
1250
10
L372
LK12
2228
2.7M
3」69
11
1.363
1.796
2.201
Z7J8
3.106
12
1356
U82
2J79
2.681
3.055
13
1350
1,7?
]
2J60
2.650
3.012
I.J45
1.76]
2,145
2.624
2.977
15
1.34]
1.753
1131
2.602
2.947
16
133?
1H6
2,120
2.583
2.921
17
im
1.740
2110
2.567
289$
18
1330
1,734
2.101
3.552
2.878
19
1328
1.7»
2.093
2339
2.861
20
1.325
1.725
2J086
Z55S
2.845
21
1323
I.72L
2.080
2M
2,831
22
U21
1.717
2.074
2.503
2,819
23
UH
1714
2,069
2,500
2,»07
24
L.3LS
15)1
2.064
2A92
2.797
25
1316
1.70S
206C
2.485
1787
曲
1.315
1706
2.056
2.479
2.779
27
1JH
l.?
0J
2.052
2.^73
2.77]
28
1J13
1701
2.04fi
2.467
2J6J
29
1311
1.699
2.045
2.462
2.756
30
1J10
L697
2.042
2.457
2.750
44)
1.303
L6S4
2.021
2.423
2.704
50
L299
1.676
2.OOT
3403
2.678
60
1.296
L671
2.000
2.390
2.660
70
L294
1.6*7
1,994
2.3SI
2.64ft
80
1.292
L6M
1.990
2374
2.639
90
1291
1.662
I.9S7
2”瑚
2W2
100
1.290
J.660
1.984
2.364
2.626
125
l.28£
L657
1.979
2.^57
2.616
150
1.287
],655
1.9%
2.351
2.609
200
1.286
165J
L972
2.345
2.601
■CD
1.282
1.645
l.9«0
2.326
2576
2
附表四:
分布临界值表
自由度
__i"
2
3
4
5
6
7
9
10
11
12
13
14
15
16
J7
18
19
20
21
22
23
24
25
26
27
貂
2<>
30
40
50
60
70
80
90
100
150
200
SOO
400
S00
畫0>.W5
Jffl.999
Xq.S7S
^0.
鬲1,9U0
0.0000393
0.0001571
0.0009821
0.0039321
0.0157908
0.0100251
0.0201007
0.0506356
0.102587
0,210720
0.0717212
0.114832
0,215795
0.351846
0.564375
0.206990
0.297110
0.484419
0.710721
1.063623
0.411740
0.554300
0.831211
L145476
L.61031
0.675727
0.872085
1.237347
1,63539
比20413
0.989265
L239043
1,68987
2.16735
2.83311
1.344419
1.646482
2.1.7973
2t73264
3.48954
L734926
2.087912
2,70039
3.32511
£16816
2,15585
2.55821
3・24697
3”94030
4.86518
2.60321
3”05347
3.81575
4*5748L
£S7779
£07382
3.57056
4.40379
5.22603
6.30380
3.56503
4.10^91
5.00874
5,89186
7.04150
4.07468
4*66043
5*62872
6.57063
7.78953
4.60094
5.22935
氏26214
7,26094
8.54675
5.14224
5*81221
6+90766
7.96164
9*31223
5.69724
鼠40776
7+5A418
&67176
10,0852
6.26481
7.01491
&23075
9.39046
10.8649
6.84398
7.63273
8+90655
10+1170
1L6509
7.43386
8.26040
9.59083
10.8508
12.4426
8.03366
8,89720
10.28293
11.5913
13.2396
8,64273
9.54249
10,9823
12,3380
14,0415
9.26042
10.19567
11.6885
13.0905
U.8479
9+88623
10.8564
12.4011
13*8484
15.6587
10.5197
11.5240
13.1197
14.6114
16.4734
11.1603
12.1981
13.8439
15.3791
17.2919
1L8076
12.8786
14.5733
16,1513
18.1138
12.4613
L3.5648
15.3079
16.9279
18.9392
13.1211
14.2565
16.0471
17.7083
19.7677
13.7867
14,9535
16.7908
18.4926
20.5992
20.7065
22,1643
24,4331
2S+5093
29.0505
27,9907
29.7067
32.3574
34.7642
37.6886
35.5346
37,4846
40.4«17
43.1879
46.4589
43.2752
45,4418
18.7576
51.7333
55.3290
51-1720
53,5400
57.1532
60.3915
C4.2778
59.1963
51,7541
65.6466
69,1260
73.2912
67,3276
70.0648
71.2219
77.3295
82.3581
109.142
112.668
117.985
122,692
128.275
15込241
156*432
1(52,728
1佩279
174r835
240.663
245.972
253.912
260,878
269.068
330.903
337.155
346.482
354+641
364.207
423.303
429,388
439.936
449*147
45®926
自由度
£100
^o.oso
£OZS
^0.010
^o.oos
1
2.70554
3.84146
5.02389
6.63490
7.87944
2
4.60517
5.99147
7.37776
9.21034
10.5966
3
6.25139
7.81473
9・34840
11.3449
12.8381
4
7.77944
9.48773
11.1433
13.2767
14.8602
5
9.23635
11.0705
12.8325
15.0863
16.7496
6
10.6446
12.5916
14.4494
16.8119
5476
7
12.0170
14.0671
16.0128
18.4753
20.2777
8
13.3616
15.5073
17.5346
20.0902
21.9550
9
14.6837
16.9190
19.0228
21.6660
23.5893
10
15.9871
1&3070
20.4831
23.2093
25.1882
11
17.2750
19.6751
21.9200
24.7250
26.7569
12
18.5494
21.0261
23.3367
26.2170
28.2995
13
19.8119
22.3621
24.7356
27.6883
29.8194
14
21.0642
23.6848
26.1190
29.14)3
31.3193
15
22.3072
24.9958
27.4884
30.5779
32.80)3
16
23.5418
26.2962
28.8454
31.9999
34.2672
17
24.7690
27.5871
30.1910
33.4087
35.7185
18
25.9894
28.8693
3L5264
34.8053
37.1564
19
27.2036
30.1435
35.8523
36.1908
3&5822