Математическое моделирование при планировании экспериментов на трех, четырех, пяти уровнях фактора и при неодинаковом количестве уровней первого и второго фактора. Черный А.А. - 25 стр.

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25
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yxx
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u
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u
u,ru,n
r,n
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1
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12
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(48)
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(49)
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(50)
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(55) 
              N
              ∑ x2 n ,u ⋅ x1r ,u ⋅ yu
              u =1
b2 n ,1r =     N
                                                   ;
              ∑ ( x2 n ,u ⋅ x1r ,u )           2

              u =1                                         (48)
               N
              ∑ x1r ,u ⋅ x2r ,u ⋅ yu
              u =1
b1r ,2 r =     N
                                                   ;
              ∑ ( x1r ,u ⋅ x2r ,u )            2

              u =1                                         (49)
                     N
                  ∑ x1s ,u ⋅ yu
                  u =1
      b1s =              N
                                           ;
                         ∑      x12s ,u
                       u =1                                (50)
                      N
                     ∑ x2 s ,u ⋅ yu
                     u =1
      b2 s =                N
                                           ;
                         ∑      x 22s ,u
                         u =1                              (51)
               N
              ∑ x1n,u ⋅ x2s,u ⋅ yu
              u =1
b1n, 2 s =      N
                                                       ;
               ∑ ( x1n,u ⋅ x2s,u )                 2
                                                           (52)
               u =1
               N
               ∑ x2n ,u ⋅ x1s ,u ⋅ yu
              u =1
b2 n ,1s =     N
                                                       ;
               ∑ ( x2n ,u ⋅ x1s ,u )           2

               u =1                                        (53)
                N
               ∑ x1r ,u ⋅ x2 s ,u ⋅ yu
               u =1
 b1r ,2 s =     N
                                                       ;
               ∑ ( x1r ,u ⋅ x2 s ,u )          2

               u =1                                        (54)
               N
               ∑ x2r ,u ⋅ x1s ,u ⋅ yu
               u =1
 b2 r ,1s =     N
                                                       ;
               ∑ ( x2 r ,u ⋅ x1s ,u )          2

               u =1                                        (55)




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