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|
Chi-square Distribution
Critical Values
|
Alpha
|
|
df
|
.10
|
.05
|
.02
|
.01
|
.001
|
|
1
|
2.706
|
3.841
|
5.412
|
6.635
|
10.827
|
|
2
|
4.605
|
5.991
|
7.824
|
9.210
|
13.815
|
|
3
|
6.251
|
7.815
|
9.837
|
11.345
|
16.266
|
|
4
|
7.779
|
9.488
|
11.688
|
13.277
|
18.467
|
|
5
|
9.236
|
11.070
|
13.388
|
15.086
|
20.515
|
|
6
|
10.645
|
12.592
|
15.033
|
16.812
|
22.457
|
|
7
|
12.017
|
14.067
|
16.622
|
18.475
|
24.322
|
|
8
|
13.362
|
15.507
|
18.168
|
20.090
|
26.125
|
|
9
|
14.684
|
16.919
|
19.679
|
21.666
|
27.877
|
|
10
|
15.987
|
18.307
|
21.161
|
23.209
|
29.588
|
|
11
|
17.275
|
19.675
|
22.618
|
24.725
|
31.264
|
|
12
|
18.549
|
21.026
|
24.054
|
26.217
|
32.909
|
|
13
|
19.812
|
22.362
|
25.472
|
27.688
|
34.528
|
|
14
|
21.064
|
23.685
|
26.873
|
29.141
|
36.123
|
|
15
|
22.307
|
24.996
|
28.259
|
30.578
|
37.697
|
|
16
|
23.542
|
26.296
|
29.633
|
32.000
|
39.252
|
|
17
|
24.769
|
27.587
|
30.995
|
33.409
|
40.790
|
|
18
|
25.989
|
28.869
|
32.346
|
34.805
|
42.312
|
|
19
|
27.204
|
30.144
|
33.687
|
36.191
|
43.820
|
|
20
|
28.412
|
31.410
|
35.020
|
37.566
|
45.315
|
|
21
|
29.615
|
32.671
|
36.343
|
38.932
|
46.797
|
|
22
|
30.813
|
33.924
|
37.656
|
40.289
|
48.268
|
|
23
|
32.007
|
35.172
|
38.968
|
41.638
|
49.728
|
|
24
|
33.196
|
36.415
|
40.270
|
42.980
|
51.179
|
|
25
|
34.382
|
37.652
|
41.566
|
44.314
|
52.620
|
|
26
|
35.563
|
38.885
|
42.856
|
45.642
|
54.052
|
|
27
|
36.741
|
40.113
|
44.140
|
46.963
|
55.476
|
|
28
|
37.916
|
41.337
|
45.419
|
43.278
|
56.893
|
|
29
|
39.087
|
42.557
|
46.693
|
49.588
|
58.302
|
|
30
|
40.256
|
43.773
|
47.962
|
50.892
|
59.703
|
|
This is only a
portion
of a much larger table.
|
|
