Counts for Mathematics 3-way Mobility Table (11th (=rows) by 12th (=columns) by 10th (=levels) grade) 209 81 604 110 113 24 17 6 28 99 36 26 16 4 2 17 202 37 65 12 10 0 6 72 12 16 12 31 2 5 78 6 22 10 39 3 0 11 1 0 1 6 10 77 36 161 42 28 9 4 2 21 55 44 12 10 2 1 12 53 14 23 11 1 1 3 38 9 8 5 21 1 0 6 1 3 0 7 1 2 3 0 0 0 3 1 310 115 730 91 126 44 12 13 32 151 73 46 16 4 5 46 354 78 162 43 25 11 14 128 13 42 29 55 7 3 66 10 33 11 60 30 4 28 4 9 1 23 29 60 25 188 19 48 13 11 1 8 41 9 12 9 4 3 13 74 8 27 9 18 2 9 83 18 28 29 52 3 5 98 7 37 15 76 20 1 5 3 3 0 3 15 117 40 773 55 214 18 154 20 11 84 14 26 9 28 7 20 311 32 161 20 79 22 12 130 20 43 21 112 39 30 801 99 388 49 985 377 3 247 10 85 16 291 259 31 11 191 7 46 5 32 9 3 13 2 3 1 2 3 5 72 6 43 1 15 14 0 16 2 2 1 6 10 6 203 26 74 8 218 255 5 113 3 33 5 41 217 Mean Weights for the Mathematics 3-way Mobility Table 218.87038 221.90790 270.84973 239.66858 252.54841 184.38088 184.91853 303.90450 256.36146 274.50612 232.87989 437.14819 401.94925 198.81825 125.96500 285.92500 271.04784 214.58814 285.00095 364.93992 195.77170 0 564.39500 265.51803 248.07242 308.92112 162.41992 196.75355 126.20700 299.94480 250.25703 242.83650 308.23191 324.79290 250.64908 166.62000 0 155.57273 121.08400 0 433.26100 226.31383 122.62620 261.14344 180.75342 263.98000 247.24736 256.89471 278.23856 181.74675 147.87150 254.05019 193.03864 202.74923 100.49042 57.16690 158.90550 378.94400 327.11933 242.55385 322.29821 294.95835 215.96364 14.19500 465.25900 163.01600 309.91482 142.30033 301.12163 117.61020 186.63705 162.07400 0 300.37917 216.18200 211.15100 0 110.13686 493.69300 17.12300 42.87233 0 0 0 20.49300 222.87200 234.06494 241.97560 275.39333 249.94365 323.04990 292.17075 203.77575 172.37577 242.18053 286.70488 228.22377 216.02824 295.94963 155.78650 568.55240 267.46163 267.00711 230.82959 270.56346 248.37544 159.80288 148.64145 442.77779 251.69173 252.97577 191.24762 253.83952 239.22633 114.22157 315.70367 185.00653 254.98300 162.17673 248.43036 244.54013 210.02513 43.62525 201.99457 299.22925 118.11033 30.42100 152.99091 158.15628 243.02752 237.43432 301.80852 247.11805 253.19985 216.17300 292.36009 586.00800 129.78887 263.74141 367.11478 200.66233 260.62289 191.83425 103.81833 319.29031 238.38261 263.52212 259.16548 305.94911 164.85228 185.79700 641.30556 226.11454 222.35717 196.38343 258.12507 233.30465 264.46800 283.15260 245.57821 89.11571 245.74654 246.32647 265.10145 258.87815 130.26800 164.46980 235.10733 225.14067 0 129.50000 131.10353 223.34948 222.02732 244.00507 188.97991 243.60348 237.53117 219.56790 189.36855 202.19945 263.09531 282.26007 231.90500 423.58256 173.17471 127.27714 336.30255 224.44208 252.19525 250.88493 160.97410 229.08578 218.44995 388.42133 202.90928 244.76260 223.62828 269.52795 197.97411 214.83641 268.65143 219.89837 203.44647 209.91930 196.32402 208.17836 215.47641 242.60667 198.36007 167.97030 253.94431 317.92000 173.39417 177.43236 324.80435 323.40500 256.01253 225.85500 225.95185 208.72940 271.76697 182.55489 652.68200 223.37585 168.15950 218.04367 109.46500 195.50800 169.66200 238.38660 278.24431 352.19117 267.42840 129.44000 342.46333 311.07271 0 177.57762 297.60450 57.23700 39.20000 132.73117 240.06540 129.95933 251.08671 181.70796 206.96272 292.66900 197.72916 178.39030 351.29400 240.06442 48.35867 209.20594 275.56720 169.84166 200.05295 Note: Weighting factors are mean of the weights of students in the cell. In the log-linear and log-multiplicative models weights are used by taking the natural log of the inverse of the mean weight in the cell. For cells with zero students, the mean weight (sum of the weights/total number of students=0/0) is undefined. If the mean weight is set at zero the inverse of the mean weight is 1/0 which is still undefined. Thus, for zero cells, the inverse of the mean weight is defined as 1, which makes the natural log of the mean weight equal zero. Zeros have been entered above as placeholders only.