The SAS System

                                 Obs    Aw    Bw    Cw    Dw    As    Bs    Cs        y

                                   1    -1    -1     1    -1    -1     1     1     0.09210
                                   2    -1    -1     1    -1     1    -1    -1    -0.77683
                                   3    -1    -1     1     1    -1    -1     1     0.04073
                                   4    -1    -1     1     1     1     1    -1    -1.59783
                                   5    -1     1    -1    -1    -1     1     1    -0.03710
                                   6    -1     1    -1    -1     1    -1    -1    -0.01906
                                   7    -1     1    -1     1    -1    -1     1     0.78142
                                   8    -1     1    -1     1     1     1    -1     0.38398
                                   9     1    -1    -1    -1    -1     1    -1    -0.22842
                                  10     1    -1    -1    -1     1    -1     1    -2.27687
                                  11     1    -1    -1     1    -1    -1    -1     0.33255
                                  12     1    -1    -1     1     1     1     1     0.01523
                                  13     1     1     1    -1    -1     1    -1    -0.54169
                                  14     1     1     1    -1     1    -1     1     1.50086
                                  15     1     1     1     1    -1    -1    -1    -1.04236
                                  16     1     1     1     1     1     1     1     0.22926

                                                     Standard
                 Parameter         Estimate             Error    t Value    Pr > |t|    Expected Value

                 Intercept     -.1965010251                 .        .         .        Intercept
                 Aw            -.0549278287 B               .        .         .        Aw + Bw*Cw + As*Cs
                 Bw            0.3534149668 B               .        .         .        Bw + Aw*Cw
                 Aw*Bw         -.0654672745 B               .        .         .        Aw*Bw + Cw
                 Cw            0.0000000000 B               .        .         .
                 Aw*Cw         0.0000000000 B               .        .         .
                 Bw*Cw         0.0000000000 B               .        .         .
                 Dw            0.0893754116 B               .        .         .        Dw + As*Bs
                 Aw*Dw         0.0457251470 B               .        .         .        Aw*Dw + Bs*Cs
                 Bw*Dw         -.1582113016                 .        .         .        Bw*Dw
                 Cw*Dw         -.4199544637                 .        .         .        Cw*Dw
                 As            -.1211564614 B               .        .         .        As + Dw*Bs + Aw*Cs
                 Aw*As         0.2397048160 B               .        .         .        Aw*As + Cs
                 Bw*As         0.4880016314 B               .        .         .        Bw*As + Cw*Cs
                 Cw*As         0.2219913647 B               .        .         .        Cw*As + Bw*Cs
                 Dw*As         -.0140570437 B               .        .         .        Dw*As + Bs
                 Bs            0.0000000000 B               .        .         .
                 Aw*Bs         0.1340823463 B               .        .         .        Aw*Bs + Dw*Cs
                 Bw*Bs         -.1342439715                 .        .         .        Bw*Bs
                 Cw*Bs         -.1785123688                 .        .         .        Cw*Bs
                 Dw*Bs         0.0000000000 B               .        .         .
                 As*Bs         0.0000000000 B               .        .         .
                 Cs            0.0000000000 B               .        .         .
                 Aw*Cs         0.0000000000 B               .        .         .
                 Bw*Cs         0.0000000000 B               .        .         .
                 Cw*Cs         0.0000000000 B               .        .         .
                 Dw*Cs         0.0000000000 B               .        .         .
                 As*Cs         0.0000000000 B               .        .         .
                 Bs*Cs         0.0000000000 B               .        .         .

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations.
      Terms whose estimates are followed by the letter 'B' are not uniquely estimable.