info 0 ) This file contains two data sets. ) raocp 8 8 format ) Raw cross product matrix derived from skull measurements of 4 ) series of ancient Egyptian skulls as reported by M. M. Barnard ) (Ann. Eugen. 6 (1935) 352-371, corrected). The original data ) set had dummy variables and measurements. ) ) raodata 398 5 ) Artificial data yielding almost the same cross product matrix ) as in raocp. It contains a column of group numbers and no dummy ) variables. It was derived by rounding a set that matched within ) machine precision. raocp 8 8 format ) Raw cross product matrix derived from skull measurements of 4 ) series of ancient Egyptian skulls as reported by M. M. Barnard ) (Ann. Eugen. 6 (1935) 352-371, corrected). The original data ) set had dummy variables and measurements as follows: ) Col. 1: Constant 1's ) Col. 2: Dummy variable for group 1, coded (1,0,0,-1) ) Col. 3: Dummy variable for group 2, coded (0,1,0,-1) ) Col. 4: Dummy variable for group 3, coded (0,0,1,-1) ) Col. 5: y1 = basi-alveolar length ) Col. 6: y2 = nasal height ) Col. 7: y3 = maximum breadth ) Col. 8: y4 = basi-bregmatic height ) Sample sizes for the groups were 91, 162, 70, and 75, ) respectively 398 in all. )"%lf %lf %lf %lf %lf %lf %lf %lf" (2f5.0,f6.0,f5.0,4f8.0) 398 16 87 -5 53461 38249 20326 53169 16 166 75 75 2008 1818 719 2243 87 75 237 75 11603 8337 4379 11991 -5 75 75 145 -742 -418 -400 -505 53461 2008 11603 -742 7190887 5137987 2731490 7143899 38249 1818 8337 -418 5137987 3685515 1954509 5111873 20326 719 4379 -400 2731490 1954509 1042145 2716493 53169 2243 11991 -505 7143899 5111873 2716493 7112253 raodata 398 5 LABELS ) Artificial data yielding the same cross product matrix derived ) from skull measurements of 4 series of ancient Egyptian skulls as ) reported by M. M. Barnard (Ann. Eugen. 6 (1935) 352-371, corrected) ) Col. 1: Group number (1-4) ) Col. 2: y1 = basi-alveolar length ) Col. 3: y2 = nasal height ) Col. 4: y3 = maximum breadth ) Col. 5: y4 = basi-bregmatic height ) Sample sizes for the groups were 91, 162, 70, and 75, ) respectively 398 in all. )"%lf %lf %lf %lf %lf" (f2.0,4f8.2) 1 127.86 102.08 46.88 135.42 1 130.50 102.26 49.81 140.43 1 134.01 92.35 52.63 138.51 1 134.54 98.17 53.02 138.26 1 140.60 99.63 54.58 132.99 1 140.60 100.02 51.62 131.65 1 134.98 98.96 50.05 129.26 1 127.92 94.80 52.34 138.97 1 132.40 96.81 51.54 134.02 1 137.99 97.27 50.83 134.55 1 133.19 102.16 53.52 140.31 1 128.42 95.10 56.50 135.06 1 130.99 100.24 53.69 130.24 1 125.59 93.78 49.35 130.27 1 142.54 103.06 59.11 136.65 1 133.99 99.25 51.05 128.45 1 132.17 89.83 42.70 124.27 1 138.34 99.67 56.76 135.34 1 132.92 98.89 47.32 138.19 1 139.07 95.48 48.13 130.63 1 132.32 89.43 48.62 130.84 1 128.75 91.67 48.56 122.27 1 135.38 99.58 49.72 130.79 1 139.17 108.43 49.80 135.38 1 133.73 96.73 45.13 134.89 1 129.53 97.63 50.60 138.25 1 132.99 98.57 53.24 142.72 1 133.15 97.08 53.07 133.21 1 131.70 97.26 51.09 130.24 1 133.29 101.83 52.12 132.50 1 133.26 92.01 54.47 132.09 1 140.13 95.27 52.04 129.60 1 133.00 101.91 51.69 137.81 1 132.51 100.72 45.31 135.53 1 128.30 85.61 52.91 118.36 1 129.58 102.40 47.02 135.64 1 133.68 93.68 51.57 134.70 1 130.06 95.35 49.44 136.51 1 136.16 100.42 56.38 140.43 1 132.62 101.34 48.95 136.17 1 140.21 108.74 49.03 133.91 1 131.52 97.10 45.35 131.16 1 139.53 100.16 51.79 132.04 1 132.78 101.78 48.52 135.50 1 126.07 101.88 52.92 129.65 1 134.65 97.31 50.36 132.42 1 139.24 100.46 47.77 136.00 1 139.14 100.60 48.96 130.06 1 134.29 95.01 45.72 134.71 1 131.14 103.75 49.64 134.03 1 136.24 95.24 44.59 135.96 1 126.21 102.38 48.55 132.22 1 131.80 101.93 54.65 143.08 1 126.67 100.64 50.96 137.98 1 134.45 104.83 51.89 145.57 1 134.80 96.37 50.75 132.96 1 136.53 104.83 52.64 133.03 1 131.69 100.48 48.30 137.38 1 134.34 94.93 48.46 132.19 1 130.02 100.14 51.62 127.02 1 131.56 96.79 50.92 134.65 1 132.56 104.85 52.70 130.67 1 137.36 94.12 50.62 123.00 1 136.32 106.49 56.45 140.16 1 128.65 101.67 48.59 130.46 1 128.61 91.89 50.27 131.35 1 132.71 102.25 48.53 140.77 1 136.49 103.03 50.41 133.03 1 134.56 93.59 48.53 126.64 1 133.70 105.03 50.91 134.19 1 131.52 94.58 51.13 120.51 1 131.23 89.96 53.26 126.79 1 127.77 99.56 53.84 129.18 1 136.74 101.28 47.44 127.83 1 132.43 95.51 49.85 126.97 1 136.11 90.01 40.32 127.83 1 131.20 104.01 55.55 133.53 1 138.99 98.70 53.74 131.46 1 135.94 87.96 55.02 127.50 1 134.88 93.16 53.41 133.86 1 135.48 111.14 54.83 137.99 1 124.98 94.01 45.42 131.30 1 137.96 92.88 51.53 136.90 1 130.52 102.17 55.85 140.31 1 130.17 90.83 44.76 126.07 1 141.58 92.61 52.83 134.08 1 134.09 92.88 57.39 125.03 1 134.95 99.85 51.74 128.71 1 124.82 98.60 48.42 123.07 1 146.16 108.65 55.64 146.12 1 136.71 92.70 50.47 124.83 2 124.31 85.30 49.92 131.94 2 133.72 92.91 55.23 132.65 2 135.67 93.76 48.36 139.86 2 135.74 95.30 55.14 136.53 2 133.17 101.80 55.92 137.87 2 131.20 94.26 50.69 129.01 2 132.32 88.12 46.56 137.93 2 137.10 96.96 50.32 133.18 2 130.01 97.77 50.76 130.67 2 127.90 96.97 52.28 131.54 2 129.22 97.35 48.11 130.28 2 140.32 96.22 55.60 137.49 2 139.99 90.92 53.62 139.60 2 134.21 93.64 52.69 128.68 2 130.08 96.38 49.94 129.36 2 129.39 95.81 52.40 129.21 2 138.98 96.84 53.70 140.84 2 134.16 95.43 52.84 128.87 2 134.98 93.01 50.09 126.83 2 130.29 96.83 53.74 141.16 2 135.93 92.49 49.01 129.41 2 136.06 95.66 48.95 135.65 2 146.19 99.28 55.97 136.81 2 131.72 99.06 50.77 135.92 2 129.61 89.40 49.15 137.22 2 138.35 98.40 48.41 136.06 2 143.58 96.04 51.61 133.55 2 134.76 93.75 54.57 139.31 2 138.85 103.28 49.43 137.29 2 128.47 96.52 52.18 130.02 2 137.50 102.95 48.05 141.51 2 137.03 98.17 50.97 133.67 2 136.48 94.89 57.92 140.15 2 132.78 99.97 50.91 137.41 2 132.45 95.51 43.15 127.69 2 132.19 93.55 56.41 138.76 2 136.62 95.53 52.46 135.86 2 133.44 95.92 51.99 138.76 2 139.42 89.21 47.98 138.43 2 134.60 97.67 53.63 132.01 2 135.37 97.81 50.41 134.00 2 135.43 87.96 47.08 133.81 2 122.82 96.32 48.55 134.17 2 128.46 92.61 47.59 136.56 2 126.19 97.56 49.13 141.86 2 140.05 98.52 53.08 130.50 2 136.60 95.38 50.62 131.58 2 124.16 97.90 50.95 133.99 2 143.27 95.22 57.74 130.62 2 124.47 100.76 54.71 137.46 2 134.51 101.84 50.84 133.25 2 125.89 94.36 48.98 129.22 2 127.00 99.15 50.75 128.87 2 144.54 100.93 49.50 133.51 2 140.25 91.00 53.62 140.89 2 131.93 98.75 51.36 134.51 2 136.72 106.53 54.29 132.23 2 128.65 96.61 51.92 134.67 2 135.25 96.44 52.86 145.61 2 138.25 89.23 45.21 131.79 2 135.35 98.57 54.48 134.74 2 134.05 90.24 52.32 130.41 2 132.82 92.52 47.23 129.64 2 127.84 93.84 53.08 132.53 2 133.07 89.42 54.44 130.15 2 143.72 102.14 52.97 134.10 2 137.29 96.78 52.59 136.50 2 143.04 93.20 49.94 132.41 2 135.11 88.73 47.51 127.52 2 127.47 93.83 51.72 136.57 2 148.00 92.99 44.94 139.59 2 136.89 84.68 46.74 131.56 2 137.43 93.82 49.11 135.46 2 129.52 91.60 49.65 128.53 2 132.15 96.60 48.30 127.64 2 136.06 94.83 51.85 133.01 2 130.35 94.79 48.01 135.79 2 135.54 102.38 46.55 137.31 2 134.99 104.52 51.45 135.87 2 133.34 107.62 51.24 133.80 2 131.99 101.04 49.72 136.96 2 140.17 81.96 52.37 130.30 2 132.49 98.08 52.63 145.17 2 128.26 93.14 50.01 136.45 2 133.31 90.84 49.24 132.50 2 133.32 100.25 52.17 136.63 2 140.77 94.21 49.18 140.28 2 132.51 93.71 49.00 137.02 2 130.45 91.39 52.15 126.05 2 138.21 96.49 49.19 137.92 2 134.71 95.81 54.51 136.07 2 127.60 91.72 50.28 132.18 2 132.36 88.31 54.00 139.52 2 141.78 92.51 48.69 144.73 2 138.36 92.87 52.05 137.97 2 126.98 94.76 43.42 129.13 2 140.57 102.10 56.70 138.24 2 125.36 92.60 50.65 136.00 2 131.69 98.32 53.47 134.97 2 130.25 94.05 49.89 130.87 2 139.60 99.60 51.68 153.03 2 133.39 93.35 48.63 123.95 2 134.13 90.54 45.65 134.17 2 140.42 101.61 53.86 140.37 2 132.84 90.84 54.29 137.18 2 136.14 88.36 51.76 128.78 2 130.45 103.10 52.05 137.00 2 133.41 92.88 51.96 130.21 2 140.57 93.85 53.02 144.18 2 131.28 82.14 45.50 131.35 2 131.64 96.69 52.83 130.51 2 132.93 94.98 50.29 140.15 2 137.09 96.90 49.93 134.83 2 135.57 105.95 53.28 130.14 2 128.83 100.19 52.30 122.84 2 134.90 100.89 53.68 138.24 2 130.28 99.44 53.45 132.66 2 134.78 95.02 55.88 135.27 2 140.76 92.75 50.01 135.76 2 136.68 93.18 49.76 138.05 2 134.15 86.45 50.05 133.81 2 138.53 99.31 53.12 137.19 2 133.14 103.15 42.23 140.02 2 133.72 90.82 55.12 134.76 2 129.49 98.41 51.15 133.86 2 132.88 94.33 49.60 131.75 2 141.37 91.97 51.39 125.58 2 138.54 98.61 51.67 131.35 2 124.42 89.45 47.28 129.27 2 139.07 90.94 51.78 139.42 2 142.19 93.27 47.93 135.05 2 141.78 93.94 57.13 135.77 2 134.59 91.68 53.66 134.55 2 131.56 98.47 57.78 138.65 2 128.00 93.77 52.34 133.89 2 133.78 92.61 51.39 135.25 2 124.79 93.50 47.63 129.99 2 135.97 99.91 52.38 134.33 2 126.66 91.02 43.90 126.24 2 121.94 93.14 44.41 127.05 2 133.00 102.30 52.19 134.53 2 138.79 105.69 50.95 137.17 2 138.07 88.52 53.51 139.51 2 143.30 106.14 50.70 137.83 2 138.34 91.57 52.92 126.80 2 134.05 94.39 56.16 139.77 2 123.53 87.19 55.96 136.05 2 133.18 93.34 51.45 132.53 2 130.57 102.32 48.65 147.21 2 140.93 98.99 52.90 145.43 2 139.45 96.66 51.23 135.06 2 131.46 99.17 50.29 134.98 2 131.68 94.56 49.11 143.02 2 132.20 85.54 55.60 129.20 2 127.76 96.21 51.38 140.58 2 141.55 101.38 51.13 130.53 2 132.46 102.44 52.74 140.14 2 137.11 102.55 57.67 141.85 2 133.49 97.87 47.41 132.95 2 136.66 96.54 46.34 142.71 2 139.23 83.98 52.16 138.00 2 138.15 95.72 49.83 138.51 3 134.04 101.85 51.87 133.49 3 136.95 94.30 45.95 132.57 3 138.56 87.90 45.96 138.96 3 142.02 104.40 56.85 136.61 3 133.22 96.37 49.39 134.16 3 139.28 100.57 47.41 132.30 3 137.26 93.52 50.83 138.38 3 135.54 89.89 51.45 135.14 3 133.28 97.54 56.02 139.31 3 138.17 95.97 53.14 131.67 3 136.07 101.92 55.89 134.37 3 131.64 96.17 48.98 134.65 3 139.50 95.22 52.14 131.98 3 126.83 96.69 49.67 129.54 3 145.28 87.49 47.26 133.66 3 139.71 86.20 52.80 138.45 3 134.42 98.88 49.93 131.52 3 134.04 93.29 51.73 126.89 3 144.04 90.99 56.11 139.86 3 126.85 99.28 51.02 132.78 3 131.70 93.04 50.25 134.09 3 140.73 101.71 50.09 136.69 3 132.53 99.24 50.46 134.42 3 135.58 96.88 48.25 133.55 3 135.93 99.78 50.12 131.78 3 137.13 95.04 50.86 140.04 3 133.51 96.73 50.13 132.32 3 134.45 93.13 52.07 134.41 3 132.03 89.61 49.19 125.65 3 124.87 93.48 44.76 129.51 3 135.93 100.04 54.38 133.40 3 140.34 96.60 46.70 134.76 3 132.70 93.00 47.61 130.82 3 127.30 107.84 50.58 133.75 3 135.88 84.99 43.54 131.21 3 135.29 95.77 51.34 129.59 3 131.69 101.34 47.84 131.74 3 120.25 99.83 53.20 130.90 3 138.51 98.87 49.58 126.41 3 133.36 88.33 46.73 129.81 3 136.95 100.29 49.53 130.85 3 134.94 95.81 47.96 135.38 3 136.49 96.51 50.80 135.56 3 128.19 92.97 46.73 131.41 3 134.68 101.43 48.94 131.85 3 145.65 97.85 47.98 141.04 3 144.88 96.35 54.22 136.63 3 126.94 95.11 47.58 130.52 3 133.37 96.02 49.56 135.37 3 129.03 99.39 50.65 133.80 3 126.86 90.17 49.10 130.45 3 135.60 88.48 51.86 136.48 3 130.57 94.68 49.91 134.45 3 139.28 96.90 50.93 131.68 3 127.65 90.64 48.13 137.35 3 128.47 95.54 50.05 139.17 3 139.68 93.83 52.80 134.97 3 141.01 95.30 54.98 129.58 3 135.42 100.32 52.77 128.10 3 127.51 97.32 50.36 122.63 3 138.35 93.56 47.04 131.67 3 139.04 90.93 47.11 133.40 3 122.77 102.19 50.36 137.56 3 125.22 96.67 50.91 129.37 3 124.44 93.98 45.22 134.22 3 131.39 94.90 46.67 131.50 3 133.86 94.18 50.03 143.05 3 140.75 101.13 52.44 133.62 3 136.33 98.56 48.16 142.00 3 134.29 95.31 52.12 140.18 4 135.26 99.97 54.98 128.22 4 134.48 101.32 56.53 127.21 4 131.63 89.90 52.24 123.71 4 138.02 92.16 55.41 130.22 4 138.94 99.49 63.03 138.04 4 137.32 97.31 53.44 128.98 4 141.76 98.76 57.02 129.13 4 145.86 93.62 48.92 139.81 4 128.80 94.55 48.03 122.63 4 139.51 91.64 55.07 131.76 4 136.03 94.92 52.23 136.02 4 141.66 91.73 51.75 129.90 4 131.38 95.82 45.63 131.09 4 127.75 95.85 56.14 131.19 4 138.37 100.51 50.43 135.89 4 133.85 91.42 48.56 137.26 4 130.26 98.94 51.13 128.91 4 140.61 102.04 53.17 127.79 4 134.46 84.69 51.37 127.45 4 133.69 100.60 50.10 133.66 4 134.93 91.46 50.64 130.05 4 135.47 91.74 57.30 140.10 4 142.18 92.39 51.86 130.53 4 129.62 89.73 47.43 128.79 4 141.71 99.53 52.29 132.63 4 131.85 99.25 55.12 137.28 4 138.15 83.99 54.47 131.56 4 137.55 93.84 52.83 137.66 4 135.29 97.25 47.87 130.43 4 130.88 99.06 53.13 124.91 4 134.33 94.38 48.79 127.76 4 133.63 99.07 50.57 132.58 4 140.65 86.39 44.75 125.91 4 137.73 97.74 57.11 133.15 4 135.07 90.79 43.39 125.17 4 137.60 92.16 47.56 137.13 4 130.61 88.07 49.05 126.83 4 138.14 91.95 56.67 137.85 4 131.24 102.87 50.83 130.16 4 125.38 92.26 45.85 130.01 4 130.41 97.12 52.26 129.92 4 145.93 89.55 51.93 128.15 4 137.93 87.93 53.42 130.17 4 131.91 98.60 50.41 135.64 4 134.56 98.91 49.08 136.87 4 132.47 93.60 45.87 126.47 4 138.55 95.11 49.80 130.49 4 127.04 103.43 56.28 131.53 4 136.97 104.57 51.62 127.87 4 123.73 93.39 51.58 128.71 4 128.77 95.67 53.00 126.19 4 137.30 85.34 48.59 128.33 4 147.12 99.23 55.50 133.46 4 134.25 93.83 55.21 130.86 4 128.77 100.96 55.18 127.58 4 135.36 97.25 51.69 127.71 4 132.76 97.57 49.71 132.74 4 135.43 99.98 51.17 134.10 4 128.88 96.50 54.05 133.77 4 128.19 91.11 51.45 128.57 4 128.21 94.48 50.55 133.72 4 138.39 97.00 54.58 137.03 4 135.19 86.53 49.77 128.33 4 145.53 97.69 51.03 136.93 4 137.65 98.38 54.74 134.27 4 143.16 99.87 52.56 128.66 4 132.93 88.03 53.11 135.46 4 145.68 92.59 50.84 127.10 4 131.02 97.05 52.96 133.18 4 139.81 89.22 57.26 140.96 4 137.01 90.71 53.78 127.83 4 132.79 91.57 56.20 131.63 4 132.68 98.39 52.11 130.38 4 137.31 93.61 56.80 139.06 4 132.65 104.12 50.20 137.00 raodata$labels 6 CHARACTER ) labels for raodata @ group bas-alv_len nasal_ht max_brdth bas-breg_ht