3. táblázat. χ²-eloszlás
Szabadságfok
Jobb oldali krtikus tartomány (α)
0,995
0,99
0,975
0,95
0,90
0,75
0,25
0,10
0,05
0,025
0,01
0,004
1
 
 
0,001
0,004
0,016
0,102
1,323
2,706
3,841
5,024
6,635
7,879
2
0,010
0,020
0,051
0,103
0,211
0,575
2,773
4,605
5,991
7,378
9,210
10,597
3
0,072
0,115
0,216
0,352
0,584
1,213
4,108
6,251
7,815
9,348
11,345
12,838
4
0,207
0,297
0,484
0,711
1,064
1,923
5,385
7,779
9,488
11,143
13,277
14,860
5
0,412
0,554
0,831
1,145
1,610
2,675
6,626
9,236
11,071
12,833
15,086
16,750
6
0,676
0,872
1,237
1,635
2,204
3,455
7,841
10,645
12,592
14,449
16,812
18,548
7
0,989
1,239
1,690
2,167
2,833
4,255
9,037
12,017
14,067
16,013
18,475
20,278
8
1,344
1,646
2,180
2,733
3,490
5,071
10,219
13,362
15,507
17,535
20,090
21,955
9
1,735
2,088
2,700
3,325
4,168
5,899
11,389
14,684
16,919
19,023
21,666
23,589
10
2,156
2,558
3,247
3,940
4,865
6,737
12,549
15,987
18,307
20,483
23,209
25,188
11
2,603
3,053
3,816
4,575
5,578
7,584
13,701
17,275
19,675
21,920
24,725
26,757
12
3,074
3,571
4,404
5,226
6,304
8,438
14,845
18,549
21,026
23,337
26,217
28,299
13
3,565
4,107
5,009
5,892
7,042
9,299
15,984
19,812
22,362
24,736
27,688
29,819
14
4,075
4,660
5,629
6,571
7,790
10,165
17,117
21,064
23,685
26,119
29,141
31,319
15
4,601
5,229
6,262
7,261
8,547
11,037
18,245
22,307
24,996
27,488
30,578
32,801
16
5,142
5,812
6,908
7,962
9,312
11912
19,369
23,542
26,296
28,845
32,000
34,267
17
5,697
6,408
7,564
8,672
10,085
12,792
20,489
24,769
27,587
30,191
33,409
35,718
18
6,265
7,015
8,231
9,390
10,865
13,675
21,605
25,989
28,869
31,526
34,805
37,156
19
6,844
7,633
8,907
10,117
11,651
14,562
22,718
27,204
30,144
32,852
36,191
38,582
20
7,434
8,260
9,591
10,851
12,443
15,452
23,828
28,412
31,410
34,170
37,566
39,997
21
8,034
8,897
10,283
11,591
13,240
16,344
24,935
29,615
32,671
35,479
38,932
41,401
22
8,643
9,542
10,982
12,338
14,042
17,240
26,039
30,813
33,924
36,781
40,289
42,796
23
9,260
10,196
11,689
13,091
14,848
18,137
27,141
32,007
35,172
38,076
41,638
44,181
24
9,886
10,856
12,401
13,848
15,659
19,037
28,241
33,196
36,415
39,364
42,980
45,559
25
10,520
11,524
13,120
14,611
16,473
19,939
29,339
34,382
37,652
40,646
44,314
46,928
26
11,160
12,198
13,844
15,379
17,292
20,843
30,435
35,563
38,885
41,923
45,642
48,290
27
11,808
12,879
14,573
16,151
18,114
21,749
31,528
36,741
40,113
43,194
46,963
49,645
28
12,461
13,565
15,308
16928
18,939
22,657
32,620
37,916
41,337
44,461
48,278
50993
29
13,121
14,257
16,047
17,708
19,768
23,567
33,711
39,087
42,557
45,722
49,588
52,336
30
13,787
14,954
16,791
18,493
20,599
24,478
34,800
40,256
43,773
46,979
50,892
53,672
31
14,458
15,655
17,539
19,281
21,434
25,390
35,887
41,422
44,985
48,232
52,191
55,003
32
15,134
16,362
18,291
20,072
22,271
26,304
36,973
42,585
46,194
49,480
53,486
56,328
33
15,815
17,074
19,047
20,867
23,110
27,219
38,058
43,745
47,400
50,725
54,776
57,648
34
16,501
17,789
19,806
21,664
23952
28,136
39,141
44,903
48,602
51,966
56,061
58,964
35
17,192
18,509
20,569
22,465
24,797
29,054
40,223
46,059
49,802
53,203
57,342
60,275
36
17,887
19,233
21,336
23,269
25,643
29,973
41,304
47,212
50,998
54,437
58,619
61,581
37
18,586
19,960
22,106
24,075
26,492
30,893
42,383
48,363
52,192
55,668
59,892
62,883
38
19,289
20,691
22,878
24,884
27,343
31,815
43,462
49,513
53,384
56,896
61,162
64,181
39
19,996
21,426
23,654
25,695
28,196
32,737
44,539
50,660
54,572
58,120
62,428
65,476
40
20,707
22,164
24,433
26,509
29,051
33,660
45,616
51,805
55,758
59,342
63,691
66,766
41
21,421
22,906
25,215
27,326
29,907
34,585
46,692
52,949
56,942
60,561
64,950
68,053
42
22,138
23,650
25,999
28,144
30,765
35,510
47,766
54,090
58,124
61,777
66,206
69,336
43
22,859
24,398
26,785
28,965
31,625
36,436
48,840
55,230
59,304
62,990
67,459
70,616
44
23,584
25,148
27,575
29,787
32,487
37,363
49,913
56,369
60,481
64,201
68,710
71,893
45
24,311
25,901
28,366
30,612
33,350
38,291
50,985
57,505
61,656
65,410
69,957
73,166
46
25,041
26,657
29,160
31,439
34,215
39,220
52,056
58,641
62,830
66,617
71,201
74,437
47
25,775
27,416
29,956
32,268
35,081
40,149
53,127
59,774
64,001
67,821
72,443
75,704
48
26,511
28,177
30,755
33,098
35,949
41,079
54,196
60,907
65,171
69,023
73,683
76,969
49
27,249
28,941
31,555
33,930
36,818
42,010
55,265
62,038
66,339
70,222
74,919
78,231
50
27,991
29,707
32,357
34,764
37,689
42,942
56,334
63,167
67,505
71,420
76,154
79,490
51
28,735
30,475
33,162
35,600
38,560
43,874
57,401
64,295
68,669
72,616
77,386
80,747
52
29,481
31,246
33,968
36,437
39,433
44,808
58,468
65,422
69,832
73,810
78,616
82,001
53
30,230
32,018
34,776
37,276
40,308
45,741
59,534
66,548
70,993
75,002
79,843
83,253
54
30,981
32,793
35,586
38,116
41,183
46,676
60,600
67,673
72,153
76,192
81,069
84,502
55
31,735
33,570
36,398
38,958
42,060
47,610
61,665
68,796
73,311
77,380
82,292
85,749
56
32,490
34,350
37,212
39,801
42,937
48,546
62,729
69,919
74,468
78,567
83,513
86,994
57
33,248
35,131
38,027
40,646
43,816
49,482
63,793
71,040
75,624
79,752
84,733
88,236
58
34,008
35,913
38,844
41,492
44,696
50,419
64,857
72,160
76,778
80,936
85,950
89,477
59
34,770
36,698
39,662
42,339
45,577
51,356
65,919
73,279
77,931
82,117
87,166
90,715
60
35,534
37,485
40,482
43,188
46,459
52,294
66,981
74,397
79,082
83,298
88,379
91,952
Adott szabadságfok mellett a táblázati érték az a jobb oldali kritikus tartománynak megfelelő c2-értéket tükrözi. Nagy szabadságfok (szf) esetén a képlet használható, és az így kapott kritikus tartományt a standardizált normális eloszlás táblázatából lehet megállapítani.