Research Article
An Improved Exact Algorithm for Least-Squares Unidimensional Scaling
Table 4
Optimal solutions for the full Morse code dissimilarity matrix and the 35
35 food-item dissimilarity matrix.
| | Morse code full | Food item data | | | | |
| | 1 | (E) | 0.00000 | orange (3) | 0.00000 | | 2 | (T) − | 5.83333 | watermelon (2) | 0.28571 | | 3 | (I) | 24.77778 | apple (1) | 0.28571 | | 4 | (A) | 34.08333 | banana (4) | 1.28571 | | 5 | (N) | 44.11111 | pineapple (5) | 1.62857 | | 6 | (M) − − | 52.33333 | lettuce (6) | 21.25714 | | 7 | (S) | 70.30556 | broccoli (7) | 22.31429 | | 8 | (U) | 83.13889 | carrots (8) | 22.54286 | | 9 | (R) | 93.47222 | corn (9) | 22.88571 | | 10 | (W) | 102.97222 | onions (10) | 25.11429 | | 11 | (H) | 114.44444 | potato (11) | 29.97143 | | 12 | (D) | 124.30556 | rice (12) | 51.62857 | | 13 | (K) | 131.52778 | spaghetti (19) | 58.97143 | | 14 | (V) | 145.00000 | bread (13) | 64.48571 | | 15 | (5) | 152.44444 | bagel (14) | 69.85714 | | 16 | (4) | 159.91667 | cereal (16) | 72.11429 | | 17 | (F) | 170.75000 | oatmeal (15) | 72.51429 | | 18 | (L) | 182.25000 | pancake (18) | 76.37143 | | 19 | (B) | 189.52778 | muffin (17) | 77.80000 | | 20 | (X) | 199.55556 | crackers (20) | 88.97143 | | 21 | (6) | 205.66667 | granola bar (21) | 93.00000 | | 22 | (3) | 220.13889 | pretzels (22) | 100.74286 | | 23 | (C) | 229.47222 | nuts (24) | 104.37143 | | 24 | (Y) | 238.41667 | popcorn (23) | 107.62857 | | 25 | (7) | 249.30556 | potato chips (25) | 112.48571 | | 26 | (Z) | 254.88889 | doughnuts (26) | 120.08571 | | 27 | (Q) | 264.38889 | pizza (31) | 126.51429 | | 28 | (P) | 270.83333 | cookies (27) | 136.88571 | | 29 | (J) | 282.94444 | chocolate bar (29) | 139.40000 | | 30 | (G) | 292.47222 | cake (28) | 141.05714 | | 31 | (O) − − − | 300.22222 | pie (30) | 143.54286 | | 32 | (2) | 310.50000 | ice cream (32) | 152.00000 | | 33 | (8) | 320.36111 | yogurt (33) | 157.11429 | | 34 | (1) | 333.50000 | butter (34) | 161.80000 | | 35 | (9) | 341.86111 | cheese (35) | 165.08571 | | 36 | (0) | 350.27778 | | |
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