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REFERENCE TABLES
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STATISTICAL TABLES
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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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