Tablica rozkladu chi kwadrat2

Wartości krytyczne rozkładu chi-kwadrat
X ~ χ2ν - X zmienna losowa o rozkładzie chi-kwadrat z liczbą stopni swobody ν,
α - poziom istotności,
2
χ α, ν - wartość krytyczna - liczba taka, Ŝe P(X > χ2 α, ν ) = α
ν \ a
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
31
32
33
34
35
36
37
38
39
40
45
50
55
60
65
70
75
80
85
90
95
100
0,995
0,04393
0,0100
0,0717
0,2070
0,4118
0,6757
0,9893
1,3444
1,7349
2,1558
2,6032
3,0738
3,5650
4,0747
4,6009
5,1422
5,6973
6,2648
6,8439
7,4338
8,0336
8,6427
9,2604
9,8862
10,5196
11,1602
11,8077
12,4613
13,1211
13,7867
14,4577
15,1340
15,8152
16,5013
17,1917
17,8868
18,5859
19,2888
19,9958
20,7066
24,3110
27,9908
31,7349
35,5344
39,3832
43,2753
47,2061
51,1719
55,1695
59,1963
63,2495
67,3275
0,990
0,0002
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
5,2294
5,8122
6,4077
7,0149
7,6327
8,2604
8,8972
9,5425
10,1957
10,8563
11,5240
12,1982
12,8785
13,5647
14,2564
14,9535
15,6555
16,3622
17,0735
17,7891
18,5089
19,2326
19,9603
20,6914
21,4261
22,1642
25,9012
29,7067
33,5705
37,4848
41,4436
45,4417
49,4751
53,5400
57,6339
61,7540
65,8983
70,0650
0,975
0,0010
0,0506
0,2158
0,4844
0,8312
1,2373
1,6899
2,1797
2,7004
3,2470
3,8157
4,4038
5,0087
5,6287
6,2621
6,9077
7,5642
8,2307
8,9065
9,5908
10,2829
10,9823
11,6885
12,4011
13,1197
13,8439
14,5734
15,3079
16,0471
16,7908
17,5387
18,2908
19,0467
19,8062
20,5694
21,3359
22,1056
22,8785
23,6543
24,4331
28,3662
32,3574
36,3981
40,4817
44,6030
48,7575
52,9419
57,1532
61,3888
65,6466
69,9249
74,2219
0,950
0,0039
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
9,3904
10,1170
10,8508
11,5913
12,3380
13,0905
13,8484
14,6114
15,3792
16,1514
16,9279
17,7084
18,4927
19,2806
20,0719
20,8665
21,6643
22,4650
23,2686
24,0749
24,8839
25,6954
26,5093
30,6123
34,7642
38,9581
43,1880
47,4496
51,7393
56,0541
60,3915
64,7494
69,1260
73,5198
77,9294
0,900
0,0158
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
21,4336
22,2706
23,1102
23,9522
24,7966
25,6433
26,4921
27,3430
28,1958
29,0505
33,3504
37,6886
42,0596
46,4589
50,8829
55,3289
59,7946
64,2778
68,7771
73,2911
77,8184
82,3581
0,100
2,7055
4,6052
6,2514
7,7794
9,2363
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
41,4217
42,5847
43,7452
44,9032
46,0588
47,2122
48,3634
49,5126
50,6598
51,8050
57,5053
63,1671
68,7962
74,3970
79,9730
85,5270
91,0615
96,5782
102,0789
107,5650
113,0377
118,4980
0,050
3,8415
5,9915
7,8147
9,4877
11,0705
12,5916
14,0671
15,5073
16,9190
18,3070
19,6752
21,0261
22,3620
23,6848
24,9958
26,2962
27,5871
28,8693
30,1435
31,4104
32,6706
33,9245
35,1725
36,4150
37,6525
38,8851
40,1133
41,3372
42,5569
43,7730
44,9853
46,1942
47,3999
48,6024
49,8018
50,9985
52,1923
53,3835
54,5722
55,7585
61,6562
67,5048
73,3115
79,0820
84,8206
90,5313
96,2167
101,8795
107,5217
113,1452
118,7516
124,3421
0,025
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
28,8453
30,1910
31,5264
32,8523
34,1696
35,4789
36,7807
38,0756
39,3641
40,6465
41,9231
43,1945
44,4608
45,7223
46,9792
48,2319
49,4804
50,7251
51,9660
53,2033
54,4373
55,6680
56,8955
58,1201
59,3417
65,4101
71,4202
77,3804
83,2977
89,1772
95,0231
100,8393
106,6285
112,3933
118,1359
123,8580
129,5613
0,010
6,6349
9,2104
11,3449
13,2767
15,0863
16,8119
18,4753
20,0902
21,6660
23,2093
24,7250
26,2170
27,6882
29,1412
30,5780
31,9999
33,4087
34,8052
36,1908
37,5663
38,9322
40,2894
41,6383
42,9798
44,3140
45,6416
46,9628
48,2782
49,5878
50,8922
52,1914
53,4857
54,7754
56,0609
57,3420
58,6192
59,8926
61,1620
62,4281
63,6908
69,9569
76,1538
82,2920
88,3794
94,4220
100,4251
106,3929
112,3288
118,2356
124,1162
129,9725
135,8069
0,005
7,8794
10,5965
12,8381
14,8602
16,7496
18,5475
20,2777
21,9549
23,5893
25,1881
26,7569
28,2997
29,8193
31,3194
32,8015
34,2671
35,7184
37,1564
38,5821
39,9969
41,4009
42,7957
44,1814
45,5584
46,9280
48,2898
49,6450
50,9936
52,3355
53,6719
55,0025
56,3280
57,6483
58,9637
60,2746
61,5811
62,8832
64,1812
65,4753
66,7660
73,1660
79,4898
85,7491
91,9518
98,1049
104,2148
110,2854
116,3209
122,3244
128,2987
134,2466
140,1697