Chi-square critical values
df |
P = 0.05
|
P = 0.01
|
P = 0.001
|
1
|
3.84 |
6.64 |
10.83 |
2
|
5.99 |
9.21 |
13.82 |
3
|
7.82 |
11.35 |
16.27 |
4
|
9.49 |
13.28 |
18.47 |
5
|
11.07 |
15.09 |
20.52 |
6
|
12.59 |
16.81 |
22.46 |
7
|
14.07 |
18.48 |
24.32 |
8
|
15.51 |
20.09 |
26.13 |
9
|
16.92 |
21.67 |
27.88 |
10
|
18.31 |
23.21 |
29.59 |
11
|
19.68 |
24.73 |
31.26 |
12
|
21.03 |
26.22 |
32.91 |
13
|
22.36 |
27.69 |
34.53 |
14
|
23.69 |
29.14 |
36.12 |
15
|
25.00 |
30.58 |
37.70 |
16
|
26.30 |
32.00 |
39.25 |
17
|
27.59 |
33.41 |
40.79 |
18
|
28.87 |
34.81 |
42.31 |
19
|
30.14 |
36.19 |
43.82 |
20
|
31.41 |
37.57 |
45.32 |
21
|
32.67 |
38.93 |
46.80 |
22
|
33.92 |
40.29 |
48.27 |
23
|
35.17 |
41.64 |
49.73 |
24
|
36.42 |
42.98 |
51.18 |
25
|
37.65 |
44.31 |
52.62 |
26
|
38.89 |
45.64 |
54.05 |
27
|
40.11 |
46.96 |
55.48 |
28
|
41.34 |
48.28 |
56.89 |
29
|
42.56 |
49.59 |
58.30 |
30
|
43.77 |
50.89 |
59.70 |
31
|
44.99 |
52.19 |
61.10 |
32
|
46.19 |
53.49 |
62.49 |
33
|
47.40 |
54.78 |
63.87 |
34
|
48.60 |
56.06 |
65.25 |
35
|
49.80 |
57.34 |
66.62 |
36
|
51.00 |
58.62 |
67.99 |
37
|
52.19 |
59.89 |
69.35 |
38
|
53.38 |
61.16 |
70.71 |
39
|
54.57 |
62.43 |
72.06 |
40
|
55.76 |
63.69 |
73.41 |
41
|
56.94 |
64.95 |
74.75 |
42
|
58.12 |
66.21 |
76.09 |
43
|
59.30 |
67.46 |
77.42 |
44
|
60.48 |
68.71 |
78.75 |
45
|
61.66 |
69.96 |
80.08 |
46
|
62.83 |
71.20 |
81.40 |
47
|
64.00 |
72.44 |
82.72 |
48
|
65.17 |
73.68 |
84.03 |
49
|
66.34 |
74.92 |
85.35 |
50
|
67.51 |
76.15 |
86.66 |
51
|
68.67 |
77.39 |
87.97 |
52
|
69.83 |
78.62 |
89.27 |
53
|
70.99 |
79.84 |
90.57 |
54
|
72.15 |
81.07 |
91.88 |
55
|
73.31 |
82.29 |
93.17 |
56
|
74.47 |
83.52 |
94.47 |
57
|
75.62 |
84.73 |
95.75 |
58
|
76.78 |
85.95 |
97.03 |
59
|
77.93 |
87.17 |
98.34 |
60
|
79.08 |
88.38 |
99.62 |
61
|
80.23 |
89.59 |
100.88 |
62
|
81.38 |
90.80 |
102.15 |
63
|
82.53 |
92.01 |
103.46 |
64
|
83.68 |
93.22 |
104.72 |
65
|
84.82 |
94.42 |
105.97 |
66
|
85.97 |
95.63 |
107.26 |
67
|
87.11 |
96.83 |
108.54 |
68
|
88.25 |
98.03 |
109.79 |
69
|
89.39 |
99.23 |
111.06 |
70
|
90.53 |
100.42 |
112.31 |
71
|
91.67 |
101.62 |
113.56 |
72
|
92.81 |
102.82 |
114.84 |
73
|
93.95 |
104.01 |
116.08 |
74
|
95.08 |
105.20 |
117.35 |
75
|
96.22 |
106.39 |
118.60 |
76
|
97.35 |
107.58 |
119.85 |
77
|
98.49 |
108.77 |
121.11 |
78
|
99.62 |
109.96 |
122.36 |
79
|
100.75 |
111.15 |
123.60 |
80
|
101.88 |
112.33 |
124.84 |
81
|
103.01 |
113.51 |
126.09 |
82
|
104.14 |
114.70 |
127.33 |
83
|
105.27 |
115.88 |
128.57 |
84
|
106.40 |
117.06 |
129.80 |
85
|
107.52 |
118.24 |
131.04 |
86
|
108.65 |
119.41 |
132.28 |
87
|
109.77 |
120.59 |
133.51 |
88
|
110.90 |
121.77 |
134.74 |
89
|
112.02 |
122.94 |
135.96 |
90
|
113.15 |
124.12 |
137.19 |
91
|
114.27 |
125.29 |
138.45 |
92
|
115.39 |
126.46 |
139.66 |
93
|
116.51 |
127.63 |
140.90 |
94
|
117.63 |
128.80 |
142.12 |
95
|
118.75 |
129.97 |
143.32 |
96
|
119.87 |
131.14 |
144.55 |
97
|
120.99 |
132.31 |
145.78 |
98
|
122.11 |
133.47 |
146.99 |
99
|
123.23 |
134.64 |
148.21 |
100
|
124.34 |
135.81 |
149.48 |
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