Table 6.17 Hierarchy on intervals Variables: Y = Sales, interval [Ya, Yb] Hierarchy variables: X1 with values: a, b or c X2 with values: If X1=a, then X2=a1 or a2; else X2=NA X3 with values: If X2=a1, then X3=a11 or a12; else X3=NA X4 = Volume, with values: If X1=a and X2=a2, then X4, interval [X4a, X4b]; else X4=NA X5 = Costs, with values: If X1=b, then X5. interval [X5a, X5b]; else X5=NA a b c, a1 a2, a11 a12 values entered as indicators (0, 1), intervals [z,z] NA is entered as '.' input u Ya Yb a a b b c c a1 a1 a2 a2 a11 a11 a12 a12 X4a X4b X5a X5b --------------------------- 1 410 420 1 1 0 0 0 0 1 1 0 0 1 1 0 0 . . . . 2 388 392 1 1 0 0 0 0 1 1 0 0 1 1 0 0 . . . . 3 378 384 1 1 0 0 0 0 1 1 0 0 1 1 0 0 . . . . 4 381 389 1 1 0 0 0 0 1 1 0 0 1 1 0 0 . . . . 5 319 330 1 1 0 0 0 0 1 1 0 0 0 0 1 1 . . . . 6 352 358 1 1 0 0 0 0 1 1 0 0 0 0 1 1 . . . . 7 255 265 1 1 0 0 0 0 0 0 1 1 . . . . 9 11 . . 8 251 259 1 1 0 0 0 0 0 0 1 1 . . . . 10 14 . . 9 240 248 1 1 0 0 0 0 0 0 1 1 . . . . 11 13 . . 10 197 203 1 1 0 0 0 0 0 0 1 1 . . . . 17 23 . . 11 232 244 1 1 0 0 0 0 0 0 1 1 . . . . 13 17 . . 12 180 184 0 0 1 1 0 0 . . . . . . . . . . 38 42 13 162 168 0 0 1 1 0 0 . . . . . . . . . . 47 53 14 156 160 0 0 1 1 0 0 . . . . . . . . . . 50 60 15 149 151 0 0 1 1 0 0 . . . . . . . . . . 58 62 16 136 142 0 0 1 1 0 0 . . . . . . . . . . 66 74 17 119 121 0 0 1 1 0 0 . . . . . . . . . . 78 82 18 33 37 0 0 0 0 1 1 . . . . . . . . . . . . 19 41 49 0 0 0 0 1 1 . . . . . . . . . . . . 20 48 52 0 0 0 0 1 1 . . . . . . . . . . . .