Distribusi Chi Square
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Distribusi χ2 _______________________
Sebaran Chi-square Nilai persentil untuk distribusi χ v = dk 2 (Bilangan dalam badan tabel menyatakan χ p) 2
0
χ2p
χ2
v 0.995
0.99
0.975
0.95
0.9
0.75
0.5
0.25
0.1
0.05
1 2 3 4
7.88 10.6 12.8 14.9
6.63 9.21 11.3 13.3
5.02 7.38 9.35 11.1
3.84 5.99 7.81 9.49
2.71 4.61 6.25 7.78
1.32 2.77 4.11 5.39
0.455 1.39 2.37 3.36
0.102 0.575 1.21 1.92
0.016 0.211 0.58 1.06
0.004 0.103 0.35 0.711
0.025
0.01
0.005
5 6 7 8 9 10
16.7 18.5 20.3 22.0 23.6 25.2
15.1 16.8 18.5 20.1 21.7 23.2
12.8 14.4 16.0 17.5 19.0 20.5
11.1 12.6 14.1 15.5 16.9 18.3
9.2 10.6 12.0 13.4 14.7 16.0
6.6 7.8 9.0 10.2 11.4 12.5
4.4 5.3 6.3 7.3 8.3 9.3
2.7 3.5 4.3 5.1 5.9 6.7
1.6 2.2 2.8 3.5 4.2 4.9
1.1 1.6 2.2 2.7 3.3 3.9
0.8 1.2 1.7 2.2 2.7 3.2
0.6 0.9 1.2 1.6 2.1 2.6
0.4 0.7 1.0 1.3 1.7 2.2
11 12 13 14 15
26.8 28.3 29.8 31.3 32.8
24.7 26.2 27.7 29.1 30.6
21.9 23.3 24.7 26.1 27.5
19.7 21.0 22.4 23.7 25.0
17.3 18.5 19.8 21.1 22.3
13.7 14.8 16.0 17.1 18.2
10.3 11.3 12.3 13.3 14.3
7.6 8.4 9.3 10.2 11.0
5.6 6.3 7.0 7.8 8.5
4.6 5.2 5.9 6.6 7.3
3.8 4.4 5.0 5.6 6.3
3.1 3.6 4.1 4.7 5.2
2.6 3.1 3.6 4.1 4.6
16 17 18 19 20
34.3 35.7 37.2 38.6 40.0
32.0 33.4 34.8 36.2 37.6
28.8 30.2 31.5 32.9 34.2
26.3 27.6 28.9 30.1 31.4
23.5 24.8 26.0 27.2 28.4
19.4 20.5 21.6 22.7 23.8
15.3 16.3 17.3 18.3 19.3
11.9 12.8 13.7 14.6 15.5
9.3 10.1 10.9 11.7 12.4
8.0 8.7 9.4 10.1 10.9
6.9 7.6 8.2 8.9 9.6
5.8 6.4 7.0 7.6 8.3
5.1 5.7 6.3 6.8 7.4
21 22 23 24 25
41.4 42.8 44.2 45.6 46.9
38.9 40.3 41.6 43.0 44.3
35.5 36.8 38.1 39.4 40.6
32.7 33.9 35.2 36.4 37.7
29.6 30.8 32.0 33.2 34.4
24.9 26.0 27.1 28.2 29.3
20.3 21.3 22.3 23.3 24.3
16.3 17.2 18.1 19.0 19.9
13.2 14.0 14.8 15.7 16.5
11.6 12.3 13.1 13.8 14.6
10.3 11.0 11.7 12.4 13.1
8.9 9.5 10.2 10.9 11.5
8.0 8.6 9.3 9.9 10.5
26 27 28 29 30
48.3 49.6 51.0 52.3 53.7
45.6 47.0 48.3 49.6 50.9
41.9 43.2 44.5 45.7 47.0
38.9 40.1 41.3 42.6 43.8
35.6 36.7 37.9 39.1 40.3
30.4 31.5 32.6 33.7 34.8
25.3 26.3 27.3 28.3 29.3
20.8 21.7 22.7 23.6 24.5
17.3 18.1 18.9 19.8 20.6
15.4 16.2 16.9 17.7 18.5
13.8 14.6 15.3 16.0 16.8
12.2 12.9 13.6 14.3 15.0
11.2 11.8 12.5 13.1 13.8
40 50 60 70 80 90 100
66.8 79.5 92.0 104.2 116.3 128.3 140.2
63.7 76.2 88.4 100.4 112.3 124.1 135.8
59.3 71.4 83.3 95.0 106.6 118.1 129.6
55.8 67.5 79.1 90.5 101.9 113.1 124.3
51.8 63.2 74.4 85.5 96.6 107.6 118.5
45.6 56.3 67.0 77.6 88.1 98.6 109.1
39.3 49.3 59.3 69.3 79.3 89.3 99.3
33.7 42.9 52.3 61.7 71.1 80.6 90.1
29.1 37.7 46.5 55.3 64.3 73.3 82.4
26.5 34.8 43.2 51.7 60.4 69.1 77.9
24.4 32.4 40.5 48.8 57.2 65.6 74.2
22.2 29.7 37.5 45.4 53.5 61.8 70.1
20.7 28.0 35.5 43.3 51.2 59.2 67.3
0.001 0.0002 0.0000 0.051 0.020 0.010 0.22 0.11 0.07 0.484 0.297 0.207
Sebaran Chi-square Nilai persentil untuk distribusi χ v = dk 2 (Bilangan dalam badan tabel menyatakan χ p) 2
0
χ2p
χ2
v 0.995
0.99
0.975
0.95
0.9
0.75
0.5
0.25
0.1
0.05
1 2 3 4
7.88 10.6 12.8 14.9
6.63 9.21 11.3 13.3
5.02 7.38 9.35 11.1
3.84 5.99 7.81 9.49
2.71 4.61 6.25 7.78
1.32 2.77 4.11 5.39
0.455 1.39 2.37 3.36
0.102 0.575 1.21 1.92
0.016 0.211 0.58 1.06
0.004 0.103 0.35 0.711
0.025
0.01
0.005
5 6 7 8 9 10
16.7 18.5 20.3 22.0 23.6 25.2
15.1 16.8 18.5 20.1 21.7 23.2
12.8 14.4 16.0 17.5 19.0 20.5
11.1 12.6 14.1 15.5 16.9 18.3
9.2 10.6 12.0 13.4 14.7 16.0
6.6 7.8 9.0 10.2 11.4 12.5
4.4 5.3 6.3 7.3 8.3 9.3
2.7 3.5 4.3 5.1 5.9 6.7
1.6 2.2 2.8 3.5 4.2 4.9
1.1 1.6 2.2 2.7 3.3 3.9
0.8 1.2 1.7 2.2 2.7 3.2
0.6 0.9 1.2 1.6 2.1 2.6
0.4 0.7 1.0 1.3 1.7 2.2
11 12 13 14 15
26.8 28.3 29.8 31.3 32.8
24.7 26.2 27.7 29.1 30.6
21.9 23.3 24.7 26.1 27.5
19.7 21.0 22.4 23.7 25.0
17.3 18.5 19.8 21.1 22.3
13.7 14.8 16.0 17.1 18.2
10.3 11.3 12.3 13.3 14.3
7.6 8.4 9.3 10.2 11.0
5.6 6.3 7.0 7.8 8.5
4.6 5.2 5.9 6.6 7.3
3.8 4.4 5.0 5.6 6.3
3.1 3.6 4.1 4.7 5.2
2.6 3.1 3.6 4.1 4.6
16 17 18 19 20
34.3 35.7 37.2 38.6 40.0
32.0 33.4 34.8 36.2 37.6
28.8 30.2 31.5 32.9 34.2
26.3 27.6 28.9 30.1 31.4
23.5 24.8 26.0 27.2 28.4
19.4 20.5 21.6 22.7 23.8
15.3 16.3 17.3 18.3 19.3
11.9 12.8 13.7 14.6 15.5
9.3 10.1 10.9 11.7 12.4
8.0 8.7 9.4 10.1 10.9
6.9 7.6 8.2 8.9 9.6
5.8 6.4 7.0 7.6 8.3
5.1 5.7 6.3 6.8 7.4
21 22 23 24 25
41.4 42.8 44.2 45.6 46.9
38.9 40.3 41.6 43.0 44.3
35.5 36.8 38.1 39.4 40.6
32.7 33.9 35.2 36.4 37.7
29.6 30.8 32.0 33.2 34.4
24.9 26.0 27.1 28.2 29.3
20.3 21.3 22.3 23.3 24.3
16.3 17.2 18.1 19.0 19.9
13.2 14.0 14.8 15.7 16.5
11.6 12.3 13.1 13.8 14.6
10.3 11.0 11.7 12.4 13.1
8.9 9.5 10.2 10.9 11.5
8.0 8.6 9.3 9.9 10.5
26 27 28 29 30
48.3 49.6 51.0 52.3 53.7
45.6 47.0 48.3 49.6 50.9
41.9 43.2 44.5 45.7 47.0
38.9 40.1 41.3 42.6 43.8
35.6 36.7 37.9 39.1 40.3
30.4 31.5 32.6 33.7 34.8
25.3 26.3 27.3 28.3 29.3
20.8 21.7 22.7 23.6 24.5
17.3 18.1 18.9 19.8 20.6
15.4 16.2 16.9 17.7 18.5
13.8 14.6 15.3 16.0 16.8
12.2 12.9 13.6 14.3 15.0
11.2 11.8 12.5 13.1 13.8
40 50 60 70 80 90 100
66.8 79.5 92.0 104.2 116.3 128.3 140.2
63.7 76.2 88.4 100.4 112.3 124.1 135.8
59.3 71.4 83.3 95.0 106.6 118.1 129.6
55.8 67.5 79.1 90.5 101.9 113.1 124.3
51.8 63.2 74.4 85.5 96.6 107.6 118.5
45.6 56.3 67.0 77.6 88.1 98.6 109.1
39.3 49.3 59.3 69.3 79.3 89.3 99.3
33.7 42.9 52.3 61.7 71.1 80.6 90.1
29.1 37.7 46.5 55.3 64.3 73.3 82.4
26.5 34.8 43.2 51.7 60.4 69.1 77.9
24.4 32.4 40.5 48.8 57.2 65.6 74.2
22.2 29.7 37.5 45.4 53.5 61.8 70.1
20.7 28.0 35.5 43.3 51.2 59.2 67.3
0.001 0.0002 0.0000 0.051 0.020 0.010 0.22 0.11 0.07 0.484 0.297 0.207
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