Multinomial Logit: simulated data (MNLogit.q) 1 12:06 Friday, January 14, 2000 CATMOD PROCEDURE Response: RSLT Response Levels (R)= 3 Weight Variable: CNT Populations (S)= 18 Data Set: SIM Total Frequency (N)= 9105 Frequency Missing: 0 Observations (Obs)= 54 POPULATION PROFILES Sample Sample W X Size ------------------------ 1 1 0 497 2 1 0.2 529 3 1 0.4 507 4 1 0.6 466 5 1 0.8 499 6 1 1 504 7 2 0 505 8 2 0.2 516 9 2 0.4 496 10 2 0.6 477 11 2 0.8 555 12 2 1 494 13 3 0 526 14 3 0.2 548 15 3 0.4 493 16 3 0.6 499 17 3 0.8 497 18 3 1 497 RESPONSE PROFILES Response RSLT -------------- 1 1 2 2 3 3 MAXIMUM-LIKELIHOOD ANALYSIS Parameter Sub -2 Log Convergence Estimates Iteration Iteration Likelihood Criterion 1 ------------------------------------------------------------ 0 0 20005.73 1.0000 0 1 0 16042.597 0.1981 -1.1054 2 0 15928.425 0.007117 -1.0200 3 0 15927.274 0.0000722 -1.0405 Multinomial Logit: simulated data (MNLogit.q) 2 12:06 Friday, January 14, 2000 MAXIMUM-LIKELIHOOD ANALYSIS Parameter Sub -2 Log Convergence Estimates Iteration Iteration Likelihood Criterion 1 ------------------------------------------------------------ 4 0 15927.274 1.2577E-8 -1.0408 5 0 15927.274 1.713E-15 -1.0408 Parameter Estimates Iteration 2 3 4 5 --------------------------------------------------------- 0 0 0 0 0 1 -1.4428 0.6984 0.9063 0.2517 2 -1.5380 0.7152 0.8897 0.4881 3 -1.5600 0.7356 0.9068 0.4966 4 -1.5601 0.7359 0.9069 0.4969 5 -1.5601 0.7359 0.9069 0.4969 Parameter Estimates Iteration 6 7 8 --------------------------------------------- 0 0 0 0 1 -0.2263 -0.1967 0.4582 2 -0.4381 -0.4305 0.7112 3 -0.4447 -0.4389 0.7146 4 -0.4447 -0.4389 0.7146 5 -0.4447 -0.4389 0.7146 MAXIMUM-LIKELIHOOD ANALYSIS-OF-VARIANCE TABLE Source DF Chi-Square Prob -------------------------------------------------- INTERCEPT 2 1031.07 0.0000 W 4 1008.65 0.0000 X 2 134.73 0.0000 LIKELIHOOD RATIO 28 26.79 0.5296 Multinomial Logit: simulated data (MNLogit.q) 3 12:06 Friday, January 14, 2000 ANALYSIS OF MAXIMUM-LIKELIHOOD ESTIMATES Standard Chi- Effect Parameter Estimate Error Square Prob ---------------------------------------------------------------- INTERCEPT 1 -1.0408 0.0493 446.06 0.0000 2 -1.5601 0.0547 812.49 0.0000 W 3 0.7359 0.0415 314.66 0.0000 4 0.9069 0.0385 555.36 0.0000 5 0.4969 0.0400 154.48 0.0000 6 -0.4447 0.0444 100.18 0.0000 X 7 -0.4389 0.0829 28.02 0.0000 8 0.7146 0.0836 73.08 0.0000 Multinomial Logit: simulated data (MNLogit.q) 4 12:06 Friday, January 14, 2000 ML PREDICTED VALUES FOR RESPONSE FUNCTIONS AND FREQUENCIES -----Observed----- -----Predicted---- Function Standard Standard Sample Number Function Error Function Error Residual ---------------------------------------------------------------- 1 1 -0.30173 0.104597 -0.30491 0.05908 0.003176 2 -0.55845 0.113054 -0.65322 0.061952 0.094769 F1 159 10.39869 162.2921 6.0949 -3.29207 F2 123 9.620777 114.5584 5.168096 8.441604 F3 215 11.045 220.1495 6.064027 -5.14953 2 1 -0.32508 0.102483 -0.3927 0.050282 0.067616 2 -0.4977 0.107943 -0.5103 0.051242 0.012603 F1 164 10.63752 156.9721 5.178044 7.027852 F2 138 10.0995 139.5563 4.913157 -1.55634 F3 227 11.38383 232.4715 5.456569 -5.47151 3 1 -0.50647 0.107765 -0.48049 0.046001 -0.02598 2 -0.49208 0.107283 -0.36738 0.044411 -0.1247 F1 138 10.02187 135.684 4.211827 2.31601 F2 140 10.06684 151.9333 4.353962 -11.9333 F3 229 11.20563 219.3827 4.685028 9.617283 4 1 -0.63658 0.123657 -0.56828 0.047477 -0.0683 2 -0.0656 0.104598 -0.22445 0.043335 0.158856 F1 100 8.862323 111.6018 3.707918 -11.6018 F2 177 10.47714 157.3957 4.156008 19.60428 F3 189 10.59932 197.0025 4.288681 -8.00248 5 1 -0.63336 0.11691 -0.65607 0.054242 0.02271 2 -0.18137 0.102084 -0.08153 0.0484 -0.09984 F1 112 9.319964 106.0909 4.222415 5.909082 F2 176 10.67351 188.4505 5.279331 -12.4505 F3 211 11.03538 204.4586 5.099748 6.541411 6 1 -0.76001 0.124954 -0.74386 0.064656 -0.01615 2 0.039029 0.098792 0.061393 0.058019 -0.02236 F1 94 8.744613 94.35907 4.70452 -0.35907 F2 209 11.06035 211.1058 6.697332 -2.10576 F3 201 10.99269 198.5352 6.076218 2.464823 7 1 -0.53851 0.096234 -0.54389 0.056997 0.005382 2 -1.9666 0.166743 -2.00488 0.074924 0.038284 F1 171 10.63471 170.914 6.288652 0.086019 F2 41 6.137694 39.65302 2.666773 1.34698 F3 293 11.09063 294.433 6.30935 -1.433 Multinomial Logit: simulated data (MNLogit.q) 5 12:06 Friday, January 14, 2000 ML PREDICTED VALUES FOR RESPONSE FUNCTIONS AND FREQUENCIES -----Observed----- -----Predicted---- Function Standard Standard Sample Number Function Error Function Error Residual ---------------------------------------------------------------- 8 1 -0.55279 0.096835 -0.63168 0.047203 0.078891 2 -1.6514 0.145883 -1.86196 0.065527 0.210559 F1 168 10.64436 162.6231 5.125598 5.376857 F2 56 7.065584 47.52021 2.755115 8.479786 F3 292 11.25876 305.8566 5.281925 -13.8566 9 1 -0.77986 0.102804 -0.71947 0.041925 -0.06039 2 -1.66406 0.144451 -1.71904 0.05944 0.054979 F1 138 9.980222 144.9705 4.193276 -6.97053 F2 57 7.102788 53.35475 2.759082 3.645246 F3 301 10.87827 297.6747 4.474858 3.325279 10 1 -0.83291 0.105056 -0.80726 0.042865 -0.02565 2 -1.82924 0.155492 -1.57612 0.057718 -0.25313 F1 130 9.724723 128.7344 3.923956 1.26558 F2 48 6.570374 59.67404 2.934823 -11.674 F3 299 10.56298 288.5915 4.318007 10.40846 11 1 -0.83833 0.099737 -0.89505 0.049672 0.056722 2 -1.45143 0.125792 -1.43319 0.060734 -0.01824 F1 144 10.32656 137.673 4.995858 6.327024 F2 78 8.187664 80.37793 4.055948 -2.37793 F3 333 11.54123 336.9491 5.643427 -3.94909 12 1 -1.05687 0.11275 -0.98284 0.060392 -0.07403 2 -1.30147 0.123802 -1.29027 0.067859 -0.0112 F1 106 9.124421 112.085 5.07022 -6.08496 F2 83 8.309913 82.42004 4.514688 0.579961 F3 305 10.80233 299.495 5.935719 5.504994 13 1 -2.3097 0.161783 -2.27364 0.08174 -0.03606 2 -1.9365 0.136958 -2.02234 0.068733 0.085837 F1 42 6.216622 43.83179 3.250544 -1.83179 F2 61 7.343423 56.35474 3.420794 4.645261 F3 423 9.101143 425.8135 4.585664 -2.81348 14 1 -2.52681 0.170842 -2.36143 0.07588 -0.16538 2 -2.26653 0.151635 -1.87941 0.058863 -0.38711 F1 37 5.873825 41.4352 2.883716 -4.4352 F2 48 6.617826 67.09776 3.438422 -19.0978 F3 463 8.474414 439.467 4.291467 23.53296 Multinomial Logit: simulated data (MNLogit.q) 6 12:06 Friday, January 14, 2000 ML PREDICTED VALUES FOR RESPONSE FUNCTIONS AND FREQUENCIES -----Observed----- -----Predicted---- Function Standard Standard Sample Number Function Error Function Error Residual ---------------------------------------------------------------- 15 1 -2.32084 0.169999 -2.44922 0.073377 0.128383 2 -1.73892 0.131491 -1.73649 0.052579 -0.00243 F1 38 5.922077 33.72349 2.291461 4.276514 F2 68 7.656415 68.781 3.093278 -0.781 F3 387 9.121893 390.4955 3.643316 -3.49552 16 1 -2.50807 0.183833 -2.53701 0.07457 0.028938 2 -1.66974 0.12672 -1.59357 0.051218 -0.07618 F1 32 5.472467 30.78222 2.140568 1.217781 F2 74 7.938895 79.07392 3.387191 -5.07392 F3 393 9.136901 389.1439 3.799191 3.856141 17 1 -2.57316 0.196059 -2.6248 0.079293 0.051644 2 -1.28039 0.111932 -1.45064 0.055144 0.170254 F1 28 5.140286 27.55408 2.04589 0.445924 F2 102 9.003688 89.14902 4.001764 12.85098 F3 367 9.797754 380.2969 4.312154 -13.2969 18 1 -2.67828 0.206754 -2.71259 0.086972 0.034314 2 -1.21502 0.109574 -1.30772 0.063384 0.092697 F1 25 4.872623 24.67324 2.013756 0.326762 F2 108 9.194084 100.5436 5.033363 7.456443 F3 364 9.869572 371.7832 5.265075 -7.7832