Table A3
The amounts of a_{i} in equation (19).
i  f_{i} (X) 
a
_{
i
}

i  f_{i} (X) 
a
_{
i
}

i  f_{i} (X) 
a
_{
i
}



Actual  Coded  Actual  Coded  Actual  Coded  
1  x _{1}  −5682.3  464.6  40  x _{1} x _{6} x _{7}  −1.9  0.6  79  x _{1} x _{4} x _{6} x _{7}  0.1  29.8 
2  x _{2}  −2305.7  606.2  41  x _{1} x _{6} x _{8}  3.8  0.1  80  x _{1} x _{4} x _{6} x _{8}  −0.3  −22.1 
3  x _{3}  748.7  565.2  42  x _{2} x _{3} x _{5}  0.2  24.3  81  x _{2} x _{3} x _{5} x _{8}  −5.2 × 10^{−3}  −3.2 
4  x _{4}  −5421.3  596.6  43  x _{2} x _{3} x _{6}  −33.8  57.5  82  x _{2} x _{3} x _{6} x _{7}  −0.1  −16.5 
5  x _{1} x _{2}  181.1  63.3  44  x _{2} x _{3} x _{7}  0.2  11.6  83  x _{3} x _{4} x _{5} x _{7}  1.0 × 10^{−2}  25.5 
6  x _{1} x _{3}  −47.4  308.1  45  x _{2} x _{3} x _{8}  0.2  −4.7  84  x _{1} x _{2} x _{6} ^{2}  13.6  135.2 
7  x _{1} x _{4}  117.0  250.1  46  x _{2} x _{4} x _{5}  −3.8  −2.2  85  x _{1} x _{4} x _{5} ^{2}  0.1  52.8 
8  x _{1} x _{5}  98.6  −54.8  47  x _{2} x _{4} x _{6}  −27.6  57.1  86  x _{2} x _{3} x _{6} ^{2}  6.9  68.9 
9  x _{1} x _{6}  3442.2  −13.0  48  x _{2} x _{5} x _{6}  −4.2  −20.0  87  x _{2} x _{4} x _{5} ^{2}  3.9 × 10^{−2}  28.4 
10  x _{1} x _{7}  0.2  −1.5  49  x _{2} x _{5} x _{7}  4.3 × 10^{−2}  0  88  x _{2} x _{4} x _{6} ^{2}  5.2  51.5 
11  x _{1} x _{8}  −7.9  −6.3  50  x _{2} x _{5} x _{8}  0.1  −1.1  
12  x _{2} x _{3}  27.7  −8.6  51  x _{2} x _{6} x _{7}  1.1  −3.4  
13  x _{2} x _{4}  126.8  5.5  52  x _{2} x _{6} x _{8}  −0.3  0  
14  x _{2} x _{5}  25.9  14.3  53  x _{3} x _{4} x _{5}  −0.7  −2.8  
15  x _{2} x _{6}  1404.7  −35.1  54  x _{3} x _{4} x _{6}  1.2  34.0  
16  x _{2} x _{7}  −5.3  −1.4  55  x _{3} x _{4} x _{7}  −0.5  3.1  
17  x _{2} x _{8}  −2.8  −0.9  56  x _{3} x _{5} x _{6}  3.5  9.8  
18  x _{3} x _{4}  29.7  5.0  57  x _{3} x _{5} x _{7}  −0.1  −0.7  
19  x _{3} x _{5}  −41.4  −32.6  58  x _{3} x _{5} x _{8}  0.2  −0.5  
20  x _{3} x _{6}  405.4  −7.1  59  x _{3} x _{6} x _{7}  1.8  −2.9  
21  x _{3} x _{7}  −1.2  −9.7  60  x _{3} x _{6} x _{8}  −0.3  0  
22  x _{3} x _{8}  −5.7  −1.2  61  x _{4} x _{5} x _{6}  3.3  7.9  
23  x _{4} x _{5}  205.1  −24.7  62  x _{4} x _{5} x _{7}  −0.3  −6.3  
24  x _{4} x _{6}  47.1  −10.6  63  x _{4} x _{5} x _{8}  −0.1  0  
25  x _{4} x _{7}  18.2  −8.7  64  x _{4} x _{6} x _{7}  −1.2  1.0  
26  x _{4} x _{8}  −3.6  −2.0  65  x _{4} x _{6} x _{8}  2.0  3.1  
27  x _{1} x _{2} x _{5}  −1.8  87.5  66  x _{1} x _{5} ^{2}  −0.6  4.2  
28  x _{1} x _{2} x _{6}  −108.1  183.3  67  x _{1} x _{6} ^{2}  −397.2  −1.9  
29  x _{1} x _{3} x _{5}  0.8  198.5  68  x _{1} x _{7} ^{2}  1.0 × 10^{−3}  0  
30  x _{1} x _{3} x _{6}  3.7  104.0  69  x _{2} x _{5} ^{2}  −0.2  1.7  
31  x _{1} x _{3} x _{7}  4.3 × 10^{−2}  34.5  70  x _{2} x _{6} ^{2}  −232.7  −57.1  
32  x _{1} x _{3} x _{8}  −4.6 × 10^{−2}  −9.4  71  x _{2} x _{7} ^{2}  1.0 × 10^{−3}  0  
33  x _{1} x _{4} x _{5}  −6.3  164.1  72  x _{3} x _{5} ^{2}  0.3  0  
34  x _{1} x _{4} x _{6}  4.8  88.5  73  x _{3} x _{6} ^{2}  −128.9  −15.3  
35  x _{1} x _{4} x _{7}  −0.2  62.7  74  x _{3} x _{7} ^{2}  1.0 × 10^{−3}  0  
36  x _{1} x _{4} x _{8}  0.9  11.9  75  x _{4} x _{5} ^{2}  −2.0  −18.9  
37  x _{1} x _{5} x _{6}  −31.5  −15.2  76  x _{4} x _{6} ^{2}  −44.7  −3.5  
38  x _{1} x _{5} x _{7}  0.1  6.7  77  x _{4} x _{7} ^{2}  −7.2 × 10^{−3}  −7.5  
39  x _{1} x _{5} x _{8}  −0.1  0  78  x _{1} x _{2} x _{5} x _{6}  0.8  65.5 