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REFERENCE TABLES
QUALITY ASSURANCE TABLES STATISTICAL TABLES
:: Standard Factors for Control Charts
:: Distribution of Average Range
:: Run Length Limits for Run Charts
:: Normal Distribution
:: Poisson Distribution
:: t Distribution
:: Chi Square Distribution
:: F Distribution
TAGUCHI ORTHOGONAL ARRAYS  
:: Selected Taguchi Orthogonal Arrays

 
   
Chi-Squared Values for a Specified Right Tail Area
 
a = Right Hand Tail Area
n 0.999 0.995 0.99 0.975 0.95 0.9 0.1 0.05 0.025 0.01 0.005 0.001
1 0.00 0.00 0.00 0.00 0.00 0.02 2.71 3.84 5.02 6.63 7.88 10.83
2 0.00 0.01 0.02 0.05 0.10 0.21 4.61 5.99 7.38 9.21 10.60 13.82
3 0.02 0.07 0.11 0.22 0.35 0.58 6.25 7.81 9.35 11.34 12.84 16.27
4 0.09 0.21 0.30 0.48 0.71 1.06 7.78 9.49 11.14 13.28 14.86 18.47
5 0.21 0.41 0.55 0.83 1.15 1.61 9.24 11.07 12.83 15.09 16.75 20.51
6 0.38 0.68 0.87 1.24 1.64 2.20 10.64 12.59 14.45 16.81 18.55 22.46
7 0.60 0.99 1.24 1.69 2.17 2.83 12.02 14.07 16.01 18.48 20.28 24.32
8 0.86 1.34 1.65 2.18 2.73 3.49 13.36 15.51 17.53 20.09 21.95 26.12
9 1.15 1.73 2.09 2.70 3.33 4.17 14.68 16.92 19.02 21.67 23.59 27.88
10 1.48 2.16 2.56 3.25 3.94 4.87 15.99 18.31 20.48 23.21 25.19 29.59
11 1.83 2.60 3.05 3.82 4.57 5.58 17.28 19.68 21.92 24.73 26.76 31.26
12 2.21 3.07 3.57 4.40 5.23 6.30 18.55 21.03 23.34 26.22 28.30 32.91
13 2.62 3.57 4.11 5.01 5.89 7.04 19.81 22.36 24.74 27.69 29.82 34.53
14 3.04 4.07 4.66 5.63 6.57 7.79 21.06 23.68 26.12 29.14 31.32 36.12
15 3.48 4.60 5.23 6.26 7.26 8.55 22.31 25.00 27.49 30.58 32.80 37.70
16 3.94 5.14 5.81 6.91 7.96 9.31 23.54 26.30 28.85 32.00 34.27 39.25
17 4.42 5.70 6.41 7.56 8.67 10.09 24.77 27.59 30.19 33.41 35.72 40.79
18 4.90 6.26 7.01 8.23 9.39 10.86 25.99 28.87 31.53 34.81 37.16 42.31
19 5.41 6.84 7.63 8.91 10.12 11.65 27.20 30.14 32.85 36.19 38.58 43.82
20 5.92 7.43 8.26 9.59 10.85 12.44 28.41 31.41 34.17 37.57 40.00 45.31
21 6.45 8.03 8.90 10.28 11.59 13.24 29.62 32.67 35.48 38.93 41.40 46.80
22 6.98 8.64 9.54 10.98 12.34 14.04 30.81 33.92 36.78 40.29 42.80 48.27
23 7.53 9.26 10.20 11.69 13.09 14.85 32.01 35.17 38.08 41.64 44.18 49.73
24 8.08 9.89 10.86 12.40 13.85 15.66 33.20 36.42 39.36 42.98 45.56 51.18
25 8.65 10.52 11.52 13.12 14.61 16.47 34.38 37.65 40.65 44.31 46.93 52.62
26 9.22 11.16 12.20 13.84 15.38 17.29 35.56 38.89 41.92 45.64 48.29 54.05
27 9.80 11.81 12.88 14.57 16.15 18.11 36.74 40.11 43.19 46.96 49.65 55.48
28 10.39 12.46 13.56 15.31 16.93 18.94 37.92 41.34 44.46 48.28 50.99 56.89
29 10.99 13.12 14.26 16.05 17.71 19.77 39.09 42.56 45.72 49.59 52.34 58.30
30 11.59 13.79 14.95 16.79 18.49 20.60 40.26 43.77 46.98 50.89 53.67 59.70
32 12.81 15.13 16.36 18.29 20.07 22.27 42.58 46.19 49.48 53.49 56.33 62.49
34 14.06 16.50 17.79 19.81 21.66 23.95 44.90 48.60 51.97 56.06 58.96 65.25
36 15.32 17.89 19.23 21.34 23.27 25.64 47.21 51.00 54.44 58.62 61.58 67.98
38 16.61 19.29 20.69 22.88 24.88 27.34 49.51 53.38 56.90 61.16 64.18 70.70
40 17.92 20.71 22.16 24.43 26.51 29.05 51.81 55.76 59.34 63.69 66.77 73.40
42 19.24 22.14 23.65 26.00 28.14 30.77 54.09 58.12 61.78 66.21 69.34 76.08
44 20.58 23.58 25.15 27.57 29.79 32.49 56.37 60.48 64.20 68.71 71.89 78.75
46 21.93 25.04 26.66 29.16 31.44 34.22 58.64 62.83 66.62 71.20 74.44 81.40
48 23.29 26.51 28.18 30.75 33.10 35.95 60.91 65.17 69.02 73.68 76.97 84.04
50 24.67 27.99 29.71 32.36 34.76 37.69 63.17 67.50 71.42 76.15 79.49 86.66
55 28.17 31.73 33.57 36.40 38.96 42.06 68.80 73.31 77.38 82.29 85.75 93.17
60 31.74 35.53 37.48 40.48 43.19 46.46 74.40 79.08 83.30 88.38 91.95 99.61
65 35.36 39.38 41.44 44.60 47.45 50.88 79.97 84.82 89.18 94.42 98.10 105.99
70 39.04 43.28 45.44 48.76 51.74 55.33 85.53 90.53 95.02 100.43 104.21 112.32
75 42.76 47.21 49.48 52.94 56.05 59.79 91.06 96.22 100.84 106.39 110.29 118.60
80 46.52 51.17 53.54 57.15 60.39 64.28 96.58 101.88 106.63 112.33 116.32 124.84
85 50.32 55.17 57.63 61.39 64.75 68.78 102.08 107.52 112.39 118.24 122.32 131.04
90 54.16 59.20 61.75 65.65 69.13 73.29 107.57 113.15 118.14 124.12 128.30 137.21
95 58.02 63.25 65.90 69.92 73.52 77.82 113.04 118.75 123.86 129.97 134.25 143.34
100 61.92 67.33 70.06 74.22 77.93 82.36 118.50 124.34 129.56 135.81 140.17 149.45

 
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