LEM: log-linear and event history analysis with missing data. Developed by Jeroen K. Vermunt (c), Tilburg University, The Netherlands. Version 1.2 (July 10, 1998). *** INPUT *** * ANES data: item1 x item2 x item3 x item4 * * * Bock's nominal response model...ANOTHER TRY * * man 4 lat 1 dim 9 4 4 3 3 lab X A B C D mod X {wei(X)} A|X {A spe(A,1a,X,c,-1)} B|X {B spe(B,1a,X,c,-1)} C|X {C spe(C,1a,X,c,-1)} D|X {D spe(D,1a,X,c,-1)} sta wei(X) [ 0.000022345844 0.002789141321 0.049916406765 0.244097502895 0.406349206349 0.244097502895 0.049916406765 0.002789141321 0.000022345844 ] des [ -4.512745863399 -3.205429002856 -2.076847978677 -1.023255663789 0.000000000000 1.023255663789 2.076847978677 3.205429002856 4.512745863399 -4.512745863399 -3.205429002856 -2.076847978677 -1.023255663789 0.000000000000 1.023255663789 2.076847978677 3.205429002856 4.512745863399 -4.512745863399 -3.205429002856 -2.076847978677 -1.023255663789 0.000000000000 1.023255663789 2.076847978677 3.205429002856 4.512745863399 -4.512745863399 -3.205429002856 -2.076847978677 -1.023255663789 0.000000000000 1.023255663789 2.076847978677 3.205429002856 4.512745863399 ] dat[ 11 2 3 1 2 1 0 0 5 9 2 0 4 1 0 1 0 4 17 7 4 9 7 2 3 0 8 1 0 0 0 0 0 0 0 2 53 11 5 11 5 1 3 1 9 27 10 4 8 6 0 1 1 5 34 31 9 15 16 4 6 1 28 5 3 4 1 0 1 0 0 5 330 52 14 40 16 1 2 0 12 50 16 3 9 7 0 1 1 7 43 16 5 8 3 1 1 1 7 17 0 4 1 1 0 0 0 12 2 0 2 1 0 1 0 0 0 3 0 0 0 1 0 0 0 2 3 0 4 0 0 0 0 0 7 8 0 3 0 2 1 0 1 24 ] *** STATISTICS *** Number of iterations = 5000 Converge criterion = 0.0000077739 Seed random values = 2274 X-squared = 421.9760 (0.0000) L-squared = 357.6709 (0.0000) Cressie-Read = 378.8711 (0.0000) Dissimilarity index = 0.1806 Degrees of freedom = 123 Log-likelihood = -4247.61587 Number of parameters = 20 (+1) Sample size = 1176.0 BIC(L-squared) = -511.9236 AIC(L-squared) = 111.6709 BIC(log-likelihood) = 8636.6292 AIC(log-likelihood) = 8535.2317 Eigenvalues information matrix 889.0938 676.7418 637.9842 379.1564 336.8431 315.6921 285.5095 237.6853 196.6430 114.9653 99.7469 84.0739 79.2489 76.6997 63.3526 52.1624 37.3128 25.6053 4.6433 0.1018 *** FREQUENCIES *** A B C D observed estimated std. res. 1 1 1 1 11.000 19.461 -1.918 1 1 1 2 2.000 6.072 -1.653 1 1 1 3 3.000 2.422 0.371 1 1 2 1 1.000 4.290 -1.588 1 1 2 2 2.000 1.605 0.312 1 1 2 3 1.000 1.078 -0.075 1 1 3 1 0.000 0.874 -0.935 1 1 3 2 0.000 0.729 -0.854 1 1 3 3 5.000 1.895 2.256 1 2 1 1 9.000 6.453 1.003 1 2 1 2 2.000 2.547 -0.343 1 2 1 3 0.000 1.961 -1.401 1 2 2 1 4.000 1.703 1.760 1 2 2 2 1.000 0.803 0.220 1 2 2 3 0.000 0.908 -0.953 1 2 3 1 1.000 0.770 0.263 1 2 3 2 0.000 0.648 -0.805 1 2 3 3 4.000 2.112 1.299 1 3 1 1 17.000 9.270 2.539 1 3 1 2 7.000 4.375 1.255 1 3 1 3 4.000 4.951 -0.427 1 3 2 1 9.000 2.804 3.700 1 3 2 2 7.000 1.572 4.330 1 3 2 3 2.000 2.326 -0.214 1 3 3 1 3.000 2.014 0.694 1 3 3 2 0.000 1.714 -1.309 1 3 3 3 8.000 7.491 0.186 1 4 1 1 1.000 1.872 -0.637 1 4 1 2 0.000 1.120 -1.058 1 4 1 3 0.000 1.798 -1.341 1 4 2 1 0.000 0.681 -0.825 1 4 2 2 0.000 0.464 -0.681 1 4 2 3 0.000 0.854 -0.924 1 4 3 1 0.000 0.762 -0.873 1 4 3 2 0.000 0.670 -0.819 1 4 3 3 2.000 5.329 -1.442 2 1 1 1 53.000 68.586 -1.882 2 1 1 2 11.000 20.288 -2.062 2 1 1 3 5.000 6.907 -0.726 2 1 2 1 11.000 14.503 -0.920 2 1 2 2 5.000 5.167 -0.073 2 1 2 3 1.000 3.033 -1.167 2 1 3 1 3.000 2.424 0.370 2 1 3 2 1.000 2.021 -0.718 2 1 3 3 9.000 5.089 1.734 2 2 1 1 27.000 21.569 1.169 2 2 1 2 10.000 8.106 0.665 2 2 1 3 4.000 5.507 -0.642 2 2 2 1 8.000 5.485 1.074 2 2 2 2 6.000 2.462 2.254 2 2 2 3 0.000 2.533 -1.592 2 2 3 1 1.000 2.132 -0.775 2 2 3 2 1.000 1.791 -0.591 2 2 3 3 5.000 5.494 -0.211 2 3 1 1 34.000 29.851 0.759 2 3 1 2 31.000 13.411 4.803 2 3 1 3 9.000 13.815 -1.296 2 3 2 1 15.000 8.696 2.138 2 3 2 2 16.000 4.656 5.257 2 3 2 3 4.000 6.470 -0.971 2 3 3 1 6.000 5.573 0.181 2 3 3 2 1.000 4.725 -1.714 2 3 3 3 28.000 18.837 2.111 2 4 1 1 5.000 5.716 -0.299 2 4 1 2 3.000 3.277 -0.153 2 4 1 3 4.000 4.996 -0.445 2 4 2 1 1.000 2.011 -0.713 2 4 2 2 0.000 1.327 -1.152 2 4 2 3 1.000 2.368 -0.889 2 4 3 1 0.000 2.100 -1.449 2 4 3 2 0.000 1.830 -1.353 2 4 3 3 5.000 12.763 -2.173 3 1 1 1 330.000 294.191 2.088 3 1 1 2 52.000 56.505 -0.599 3 1 1 3 14.000 5.956 3.296 3 1 2 1 40.000 44.307 -0.647 3 1 2 2 16.000 11.011 1.503 3 1 2 3 1.000 2.271 -0.844 3 1 3 1 2.000 1.514 0.395 3 1 3 2 0.000 1.247 -1.116 3 1 3 3 12.000 2.789 5.516 3 2 1 1 50.000 60.260 -1.322 3 2 1 2 16.000 16.021 -0.005 3 2 1 3 3.000 3.995 -0.498 3 2 2 1 9.000 11.721 -0.795 3 2 2 2 7.000 3.803 1.639 3 2 2 3 0.000 1.703 -1.305 3 2 3 1 1.000 1.315 -0.275 3 2 3 2 1.000 1.094 -0.090 3 2 3 3 7.000 2.629 2.696 3 3 1 1 43.000 63.725 -2.596 3 3 1 2 16.000 20.691 -1.031 3 3 1 3 5.000 9.289 -1.407 3 3 2 1 8.000 14.486 -1.704 3 3 2 2 3.000 5.628 -1.108 3 3 2 3 1.000 4.168 -1.552 3 3 3 1 1.000 3.411 -1.306 3 3 3 2 1.000 2.852 -1.097 3 3 3 3 7.000 7.614 -0.223 3 4 1 1 17.000 8.592 2.869 3 4 1 2 0.000 3.595 -1.896 3 4 1 3 4.000 3.181 0.459 3 4 2 1 1.000 2.371 -0.890 3 4 2 2 1.000 1.185 -0.170 3 4 2 3 0.000 1.481 -1.217 3 4 3 1 0.000 1.265 -1.125 3 4 3 2 0.000 1.068 -1.034 3 4 3 3 12.000 3.786 4.221 4 1 1 1 2.000 2.671 -0.410 4 1 1 2 0.000 1.232 -1.110 4 1 1 3 2.000 1.335 0.576 4 1 2 1 1.000 0.794 0.232 4 1 2 2 0.000 0.435 -0.660 4 1 2 3 1.000 0.626 0.472 4 1 3 1 0.000 0.541 -0.736 4 1 3 2 0.000 0.460 -0.678 4 1 3 3 0.000 1.921 -1.386 4 2 1 1 3.000 1.305 1.484 4 2 1 2 0.000 0.752 -0.867 4 2 1 3 0.000 1.152 -1.073 4 2 2 1 0.000 0.461 -0.679 4 2 2 2 1.000 0.305 1.258 4 2 2 3 0.000 0.546 -0.739 4 2 3 1 0.000 0.485 -0.696 4 2 3 2 0.000 0.423 -0.650 4 2 3 3 2.000 2.990 -0.573 4 3 1 1 3.000 2.510 0.309 4 3 1 2 0.000 1.663 -1.290 4 3 1 3 4.000 2.981 0.591 4 3 2 1 0.000 0.991 -0.995 4 3 2 2 0.000 0.724 -0.851 4 3 2 3 0.000 1.420 -1.192 4 3 3 1 0.000 1.300 -1.140 4 3 3 2 0.000 1.183 -1.087 4 3 3 3 7.000 13.845 -1.840 4 4 1 1 8.000 0.729 8.519 4 4 1 2 0.000 0.548 -0.740 4 4 1 3 3.000 1.102 1.808 4 4 2 1 0.000 0.319 -0.565 4 4 2 2 2.000 0.252 3.483 4 4 2 3 1.000 0.528 0.649 4 4 3 1 0.000 0.530 -0.728 4 4 3 2 1.000 0.540 0.626 4 4 3 3 24.000 13.765 2.759 *** PSEUDO R-SQUARED MEASURES *** * P(A|X) * baseline fitted R-squared entropy 1.0485 0.8682 0.1720 qualitative variance 0.2888 0.2408 0.1662 classification error 0.4209 0.3561 0.1541 -2/N*log-likelihood 2.0969 1.7363 0.1720/0.2651 likelihood^(-2/N) 8.1413 5.6763 0.3028/0.3452 * P(B|X) * baseline fitted R-squared entropy 1.1867 0.9959 0.1608 qualitative variance 0.3232 0.2718 0.1589 classification error 0.4923 0.4067 0.1740 -2/N*log-likelihood 2.3734 1.9917 0.1608/0.2762 likelihood^(-2/N) 10.7336 7.3281 0.3173/0.3499 * P(C|X) * baseline fitted R-squared entropy 0.8129 0.5509 0.3223 qualitative variance 0.2306 0.1670 0.2759 classification error 0.2968 0.2409 0.1882 -2/N*log-likelihood 1.6258 1.1012 0.3227/0.3441 likelihood^(-2/N) 5.0827 3.0079 0.4082/0.5082 * P(D|X) * baseline fitted R-squared entropy 0.9173 0.6221 0.3218 qualitative variance 0.2680 0.1868 0.3031 classification error 0.3716 0.2641 0.2893 -2/N*log-likelihood 1.8346 1.2442 0.3218/0.3712 likelihood^(-2/N) 6.2626 3.4700 0.4459/0.5306 *** LOG-LINEAR PARAMETERS *** * TABLE XA [or P(A|X)] * effect beta std err z-value exp(beta) Wald df prob A 1 -0.3001 0.1315 -2.282 0.7408 2 0.9074 0.1090 8.328 2.4778 3 1.6576 0.1089 15.227 5.2467 4 -2.2649 0.1038 285.93 3 0.000 spe(A,1a) [X 1] 1 -0.0321 0.1315 -0.244 0.9684 2 0.1514 0.1005 1.506 1.1634 3 1.3598 0.1356 10.026 3.8954 103.07 3 0.000 * TABLE XB [or P(B|X)] * effect beta std err z-value exp(beta) Wald df prob B 1 1.1126 0.0816 13.641 3.0423 2 0.1000 0.0875 1.144 1.1052 3 0.3731 0.0833 4.476 1.4522 4 -1.5857 0.2048 208.68 3 0.000 spe(B,1a) [X 1] 1 1.2187 0.1208 10.090 3.3827 2 0.3533 0.1118 3.159 1.4238 3 -0.3146 0.0915 -3.437 0.7301 109.25 3 0.000 * TABLE XC [or P(C|X)] * effect beta std err z-value exp(beta) Wald df prob C 1 3.0748 1.5859 1.939 21.6459 2 1.6542 1.5859 1.043 5.2287 3 -4.7290 0.0088 275.23 2 0.000 spe(C,1a) [X 1] 1 2.6681 1.5526 1.719 14.4121 2 2.0029 1.5508 1.292 7.4104 19.14 2 0.000 * TABLE XD [or P(D|X)] * effect beta std err z-value exp(beta) Wald df prob D 1 1.5761 0.2351 6.705 4.8361 2 0.5025 0.2344 2.143 1.6528 3 -2.0786 0.1251 177.60 2 0.000 spe(D,1a) [X 1] 1 1.6727 0.2557 6.541 5.3264 2 0.8002 0.2407 3.325 2.2259 48.50 2 0.000 *** (CONDITIONAL) PROBABILITIES *** * P(X) * 1 0.0000 (0.0000) 2 0.0028 (0.0000) 3 0.0499 (0.0000) 4 0.2441 (0.0000) 5 0.4063 (0.0000) 6 0.2441 (0.0000) 7 0.0499 (0.0000) 8 0.0028 (0.0000) 9 0.0000 (0.0000) * P(A|X) * 1 | 1 0.0102 (0.0105) 2 | 1 0.0148 (0.0141) 3 | 1 0.0001 (0.0002) 4 | 1 0.9749 (0.0230) 1 | 2 0.0574 (0.0336) 2 | 2 0.1066 (0.0550) 3 | 2 0.0047 (0.0033) 4 | 2 0.8313 (0.0826) 1 | 3 0.1537 (0.0374) 2 | 3 0.3511 (0.0563) 3 | 3 0.0604 (0.0189) 4 | 3 0.4348 (0.0752) 1 | 4 0.1641 (0.0190) 2 | 4 0.4550 (0.0277) 3 | 4 0.2798 (0.0308) 4 | 4 0.1011 (0.0157) 1 | 5 0.0864 (0.0109) 2 | 5 0.2892 (0.0173) 3 | 5 0.6123 (0.0198) 4 | 5 0.0121 (0.0043) 1 | 6 0.0290 (0.0082) 2 | 6 0.1170 (0.0187) 3 | 6 0.8531 (0.0219) 4 | 6 0.0009 (0.0006) 1 | 7 0.0075 (0.0036) 2 | 7 0.0367 (0.0114) 3 | 7 0.9558 (0.0132) 4 | 7 0.0001 (0.0001) 1 | 8 0.0016 (0.0011) 2 | 8 0.0097 (0.0046) 3 | 8 0.9887 (0.0052) 4 | 8 0.0000 (0.0000) 1 | 9 0.0003 (0.0003) 2 | 9 0.0020 (0.0013) 3 | 9 0.9977 (0.0015) 4 | 9 0.0000 (0.0000) * P(B|X) * 1 | 1 0.0002 (0.0002) 2 | 1 0.0034 (0.0030) 3 | 1 0.0911 (0.0606) 4 | 1 0.9053 (0.0627) 1 | 2 0.0038 (0.0023) 2 | 2 0.0224 (0.0122) 3 | 2 0.2499 (0.0863) 4 | 2 0.7239 (0.0941) 1 | 3 0.0381 (0.0126) 2 | 3 0.0835 (0.0236) 3 | 3 0.4393 (0.0544) 4 | 3 0.4391 (0.0638) 1 | 4 0.1992 (0.0273) 2 | 4 0.1754 (0.0213) 3 | 4 0.4565 (0.0274) 4 | 4 0.1689 (0.0189) 1 | 5 0.5241 (0.0208) 2 | 5 0.1904 (0.0136) 3 | 5 0.2502 (0.0179) 4 | 5 0.0353 (0.0081) 1 | 6 0.7971 (0.0257) 2 | 6 0.1194 (0.0184) 3 | 6 0.0792 (0.0154) 4 | 6 0.0043 (0.0019) 1 | 7 0.9256 (0.0209) 2 | 7 0.0557 (0.0175) 3 | 7 0.0183 (0.0067) 4 | 7 0.0004 (0.0003) 1 | 8 0.9745 (0.0120) 2 | 8 0.0221 (0.0111) 3 | 8 0.0034 (0.0019) 4 | 8 0.0000 (0.0000) 1 | 9 0.9923 (0.0054) 2 | 9 0.0073 (0.0052) 3 | 9 0.0005 (0.0004) 4 | 9 0.0000 (0.0000) * P(C|X) * 1 | 1 0.0000 (0.0000) * 2 | 1 0.0000 (0.0000) * 3 | 1 1.0000 (0.0000) * 1 | 2 0.0000 (0.0000) 2 | 2 0.0000 (0.0000) 3 | 2 1.0000 (0.0000) 1 | 3 0.0006 (0.0029) 2 | 3 0.0006 (0.0028) 3 | 3 0.9988 (0.0057) 1 | 4 0.4500 (0.0421) 2 | 4 0.2147 (0.0290) 3 | 4 0.3353 (0.0462) 1 | 5 0.8052 (0.0135) 2 | 5 0.1945 (0.0135) 3 | 5 0.0003 (0.0016) 1 | 6 0.8910 (0.0187) 2 | 6 0.1090 (0.0187) 3 | 6 0.0000 (0.0000) 1 | 7 0.9428 (0.0191) 2 | 7 0.0572 (0.0191) 3 | 7 0.0000 (0.0000) * 1 | 8 0.9722 (0.0144) 2 | 8 0.0278 (0.0144) 3 | 8 0.0000 (0.0000) * 1 | 9 0.9881 (0.0087) 2 | 9 0.0119 (0.0087) 3 | 9 0.0000 (0.0000) * * P(D|X) * 1 | 1 0.0000 (0.0000) 2 | 1 0.0000 (0.0000) 3 | 1 1.0000 (0.0000) 1 | 2 0.0001 (0.0001) 2 | 2 0.0004 (0.0006) 3 | 2 0.9996 (0.0007) 1 | 3 0.0069 (0.0057) 2 | 3 0.0144 (0.0113) 3 | 3 0.9787 (0.0166) 1 | 4 0.2752 (0.0379) 2 | 4 0.2297 (0.0306) 3 | 4 0.4951 (0.0464) 1 | 5 0.7312 (0.0189) 2 | 5 0.2499 (0.0161) 3 | 5 0.0189 (0.0129) 1 | 6 0.8769 (0.0214) 2 | 6 0.1227 (0.0214) 3 | 6 0.0003 (0.0005) 1 | 7 0.9471 (0.0188) 2 | 7 0.0529 (0.0188) 3 | 7 0.0000 (0.0000) 1 | 8 0.9796 (0.0114) 2 | 8 0.0204 (0.0114) 3 | 8 0.0000 (0.0000) 1 | 9 0.9934 (0.0052) 2 | 9 0.0066 (0.0052) 3 | 9 0.0000 (0.0000) *** LATENT CLASS OUTPUT *** X 1 X 2 X 3 X 4 X 5 X 6 X 7 X 8 0.0000 0.0028 0.0499 0.2441 0.4063 0.2441 0.0499 0.0028 A 1 0.0102 0.0574 0.1537 0.1641 0.0864 0.0290 0.0075 0.0016 A 2 0.0148 0.1066 0.3511 0.4550 0.2892 0.1170 0.0367 0.0097 A 3 0.0001 0.0047 0.0604 0.2798 0.6123 0.8531 0.9558 0.9887 A 4 0.9749 0.8313 0.4348 0.1011 0.0121 0.0009 0.0001 0.0000 B 1 0.0002 0.0038 0.0381 0.1992 0.5241 0.7971 0.9256 0.9745 B 2 0.0034 0.0224 0.0835 0.1754 0.1904 0.1194 0.0557 0.0221 B 3 0.0911 0.2499 0.4393 0.4565 0.2502 0.0792 0.0183 0.0034 B 4 0.9053 0.7239 0.4391 0.1689 0.0353 0.0043 0.0004 0.0000 C 1 0.0000 0.0000 0.0006 0.4500 0.8052 0.8910 0.9428 0.9722 C 2 0.0000 0.0000 0.0006 0.2147 0.1945 0.1090 0.0572 0.0278 C 3 1.0000 1.0000 0.9988 0.3353 0.0003 0.0000 0.0000 0.0000 D 1 0.0000 0.0001 0.0069 0.2752 0.7312 0.8769 0.9471 0.9796 D 2 0.0000 0.0004 0.0144 0.2297 0.2499 0.1227 0.0529 0.0204 D 3 1.0000 0.9996 0.9787 0.4951 0.0189 0.0003 0.0000 0.0000 X 9 0.0000 A 1 0.0003 A 2 0.0020 A 3 0.9977 A 4 0.0000 B 1 0.9923 B 2 0.0073 B 3 0.0005 B 4 0.0000 C 1 0.9881 C 2 0.0119 C 3 0.0000 D 1 0.9934 D 2 0.0066 D 3 0.0000 E = 0.3527, lambda = 0.4059