Математическое моделирование при планировании экспериментов на трех, четырех, пяти уровнях фактора и при неодинаковом количестве уровней первого и второго фактора. Черный А.А. - 26 стр.

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26
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yxx
b
N
u
u,su,s
u
N
u
u,su,s
s,s
∑
∑
=
=
⋅
⋅⋅
=
1
2
21
1
21
21
(56)
;
x
yx
b
N
u
u,w
u
N
u
u,w
w
∑
∑
=
=
⋅
=
1
2
1
1
1
1
(57)
;
x
yx
b
N
u
u,w
u
N
u
u,w
w
∑
∑
=
=
⋅
=
1
2
2
1
2
2
(58)
;
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b
N
u
u,wu,n
u
N
u
u,wu,n
w,n
∑
∑
=
=
⋅
⋅⋅
=
1
2
21
1
21
22
(59)
;
)xx(
yxx
b
N
u
u,wu,n
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N
u
u,wu,n
w,n
∑
∑
=
=
⋅
⋅⋅
=
1
2
12
1
12
12
(60)
;
)xx(
yxx
b
N
u
u,wu,r
u
N
u
u,wu,r
w,r
∑
∑
=
=
⋅
⋅⋅
=
1
2
21
1
21
21
(61)
;
)xx(
yxx
b
N
u
u,wu,r
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N
u
u,wu,r
w,r
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∑
=
=
⋅
⋅⋅
=
1
2
12
1
12
12
(62)
;
)xx(
yxx
b
N
u
u,wu,s
u
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u
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∑
∑
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=
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1
2
21
1
21
21
(63) 
              N
              ∑ x1s ,u ⋅ x2 s ,u ⋅ yu
              u =1
 b1s ,2 s =    N
                                                 ;
              ∑ ( x1s ,u ⋅ x2 s ,u )         2

              u =1                                   (56)
                 N
                   ∑ x1w ,u ⋅ yu
                u =1
     b1w =             N
                                         ;
                       ∑       x12w ,u
                       u =1                          (57)
                   N
                   ∑ x2 w ,u ⋅ yu
                   u =1
     b2 w =               N
                                         ;
                       ∑       x22w ,u
                       u =1                          (58)
               N
              ∑ x1n ,u ⋅ x2 w ,u ⋅ yu
              u =1
b2 n ,2 w =    N
                                                 ;
              ∑ ( x1n ,u ⋅ x2 w,u )          2

              u =1                                   (59)
               N
              ∑ x2 n ,u ⋅ x1w,u ⋅ yu
              u =1
b2 n ,1w =     N
                                                 ;
              ∑ ( x2n ,u ⋅ x1w,u )           2

              u =1                                   (60)
               N
              ∑ x1r ,u ⋅ x2 w ,u ⋅ yu
              u =1
b1r ,2 w =     N
                                                 ;
              ∑ ( x1r ,u ⋅ x2 w ,u )         2

              u =1                                   (61)
               N
              ∑ x2r ,u ⋅ x1w ,u ⋅ yu
              u =1
b2 r ,1w =     N
                                                 ;
              ∑ ( x2 r ,u ⋅ x1w ,u )         2

              u =1                                   (62)
              N
              ∑ x1s ,u ⋅ x2 w ,u ⋅ yu
              u =1
b1s ,2 w =     N
                                                 ;
              ∑ ( x1s ,u ⋅ x2 w ,u )         2

              u =1                                   (63)




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