Chi-square statistics ( χ2 )
df | P = 0.05 | P = 0.01 | P = 0.001 | df | P = 0.05 | P = 0.01 | P = 0.001 | df | P = 0.05 | P = 0.01 | P = 0.001 |
1 | 3.84 | 6.64 | 10.83 | 35 | 49.8 | 57.34 | 66.62 | 69 | 89.39 | 99.23 | 111.06 |
2 | 5.99 | 9.21 | 13.82 | 36 | 51 | 58.62 | 67.99 | 70 | 90.53 | 100.42 | 112.31 |
3 | 7.82 | 11.35 | 16.27 | 37 | 52.19 | 59.89 | 69.35 | 71 | 91.67 | 101.62 | 113.56 |
4 | 9.49 | 13.28 | 18.47 | 38 | 53.38 | 61.16 | 70.71 | 72 | 92.81 | 102.82 | 114.84 |
5 | 11.07 | 15.09 | 20.52 | 39 | 54.57 | 62.43 | 72.06 | 73 | 93.95 | 104.01 | 116.08 |
6 | 12.59 | 16.81 | 22.46 | 40 | 55.76 | 63.69 | 73.41 | 74 | 95.08 | 105.2 | 117.35 |
7 | 14.07 | 18.48 | 24.32 | 41 | 56.94 | 64.95 | 74.75 | 75 | 96.22 | 106.39 | 118.6 |
8 | 15.51 | 20.09 | 26.13 | 42 | 58.12 | 66.21 | 76.09 | 76 | 97.35 | 107.58 | 119.85 |
9 | 16.92 | 21.67 | 27.88 | 43 | 59.3 | 67.46 | 77.42 | 77 | 98.49 | 108.77 | 121.11 |
10 | 18.31 | 23.21 | 29.59 | 44 | 60.48 | 68.71 | 78.75 | 78 | 99.62 | 109.96 | 122.36 |
11 | 19.68 | 24.73 | 31.26 | 45 | 61.66 | 69.96 | 80.08 | 79 | 100.75 | 111.15 | 123.6 |
12 | 21.03 | 26.22 | 32.91 | 46 | 62.83 | 71.2 | 81.4 | 80 | 101.88 | 112.33 | 124.84 |
13 | 22.36 | 27.69 | 34.53 | 47 | 64 | 72.44 | 82.72 | 81 | 103.01 | 113.51 | 126.09 |
14 | 23.69 | 29.14 | 36.12 | 48 | 65.17 | 73.68 | 84.03 | 82 | 104.14 | 114.7 | 127.33 |
15 | 25 | 30.58 | 37.7 | 49 | 66.34 | 74.92 | 85.35 | 83 | 105.27 | 115.88 | 128.57 |
16 | 26.3 | 32 | 39.25 | 50 | 67.51 | 76.15 | 86.66 | 84 | 106.4 | 117.06 | 129.8 |
17 | 27.59 | 33.41 | 40.79 | 51 | 68.67 | 77.39 | 87.97 | 85 | 107.52 | 118.24 | 131.04 |
18 | 28.87 | 34.81 | 42.31 | 52 | 69.83 | 78.62 | 89.27 | 86 | 108.65 | 119.41 | 132.28 |
19 | 30.14 | 36.19 | 43.82 | 53 | 70.99 | 79.84 | 90.57 | 87 | 109.77 | 120.59 | 133.51 |
20 | 31.41 | 37.57 | 45.32 | 54 | 72.15 | 81.07 | 91.88 | 88 | 110.9 | 121.77 | 134.74 |
21 | 32.67 | 38.93 | 46.8 | 55 | 73.31 | 82.29 | 93.17 | 89 | 112.02 | 122.94 | 135.96 |
22 | 33.92 | 40.29 | 48.27 | 56 | 74.47 | 83.52 | 94.47 | 90 | 113.15 | 124.12 | 137.19 |
23 | 35.17 | 41.64 | 49.73 | 57 | 75.62 | 84.73 | 95.75 | 91 | 114.27 | 125.29 | 138.45 |
24 | 36.42 | 42.98 | 51.18 | 58 | 76.78 | 85.95 | 97.03 | 92 | 115.39 | 126.46 | 139.66 |
25 | 37.65 | 44.31 | 52.62 | 59 | 77.93 | 87.17 | 98.34 | 93 | 116.51 | 127.63 | 140.9 |
26 | 38.89 | 45.64 | 54.05 | 60 | 79.08 | 88.38 | 99.62 | 94 | 117.63 | 128.8 | 142.12 |
27 | 40.11 | 46.96 | 55.48 | 61 | 80.23 | 89.59 | 100.88 | 95 | 118.75 | 129.97 | 143.32 |
28 | 41.34 | 48.28 | 56.89 | 62 | 81.38 | 90.8 | 102.15 | 96 | 119.87 | 131.14 | 144.55 |
29 | 42.56 | 49.59 | 58.3 | 63 | 82.53 | 92.01 | 103.46 | 97 | 120.99 | 132.31 | 145.78 |
30 | 43.77 | 50.89 | 59.7 | 64 | 83.68 | 93.22 | 104.72 | 98 | 122.11 | 133.47 | 146.99 |
31 | 44.99 | 52.19 | 61.1 | 65 | 84.82 | 94.42 | 105.97 | 99 | 123.23 | 134.64 | 148.21 |
32 | 46.19 | 53.49 | 62.49 | 66 | 85.97 | 95.63 | 107.26 | 100 | 124.34 | 135.81 | 149.48 |
33 | 47.4 | 54.78 | 63.87 | 67 | 87.11 | 96.83 | 108.54 | Other Table for Chi-square | |||
34 | 48.6 | 56.06 | 65.25 | 68 | 88.25 | 98.03 | 109.79 |