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 *** *data generated from rasch theta N(0,1) * Rasch MMLE man 6 lat 1 dim 9 2 2 2 2 2 2 lab X A B C D E F mod X {wei(X)} A|X {A} B|X {B} C|X {C} D|X {D} E|X {E} F|X {F} all {spe(XA,XB,XC,XD,XE,XF,1b)} sta wei(X) nor(1,8) nco data gen6rasch_normal.dat *** STATISTICS *** Number of iterations = 51 Converge criterion = 0.0000008247 Seed random values = 4573 X-squared = 0.0739 (1.0000) L-squared = 0.0739 (1.0000) Cressie-Read = 0.0739 (1.0000) Dissimilarity index = 0.0001 Degrees of freedom = 56 Log-likelihood = -3600429.16281 Number of parameters = 7 (+1) Sample size = 1000000.0 BIC(L-squared) = -773.5946 AIC(L-squared) = -111.9261 BIC(log-likelihood) = 7200955.0342 AIC(log-likelihood) = 7200872.3256 Eigenvalues information matrix 8.18E+0005 8.04E+0005 7.45E+0005 7.34E+0005 5.86E+0005 3.71E+0005 2.85E+0005 *** FREQUENCIES *** A B C D E F observed estimated std. res. 1 1 1 1 1 1 27609.188 27602.514 0.040 1 1 1 1 1 2 11486.639 11491.539 -0.046 1 1 1 1 2 1 40092.311 40109.709 -0.087 1 1 1 1 2 2 26952.017 26941.642 0.063 1 1 1 2 1 1 19909.252 19917.914 -0.061 1 1 1 2 1 2 13383.975 13378.838 0.044 1 1 1 2 2 1 46714.664 46697.082 0.081 1 1 1 2 2 2 49881.571 49883.207 -0.007 1 1 2 1 1 1 9886.642 9890.865 -0.042 1 1 2 1 1 2 6646.285 6643.682 0.032 1 1 2 1 2 1 23197.816 23188.900 0.059 1 1 2 1 2 2 24770.455 24771.071 -0.004 1 1 2 2 1 1 11519.694 11515.280 0.041 1 1 2 2 1 2 12300.644 12300.963 -0.003 1 1 2 2 2 1 42933.466 42934.901 -0.007 1 1 2 2 2 2 72712.234 72730.850 -0.069 1 2 1 1 1 1 4909.561 4911.733 -0.031 1 2 1 1 1 2 3300.448 3299.205 0.022 1 2 1 1 2 1 11519.694 11515.444 0.040 1 2 1 1 2 2 12300.644 12301.138 -0.004 1 2 1 2 1 1 5720.511 5718.406 0.028 1 2 1 2 1 2 6108.319 6108.571 -0.003 1 2 1 2 2 1 21320.128 21321.167 -0.007 1 2 1 2 2 2 36107.827 36117.625 -0.052 1 2 2 1 1 1 2840.722 2839.654 0.020 1 2 2 1 1 2 3033.301 3033.403 -0.002 1 2 2 1 2 1 10587.262 10587.694 -0.004 1 2 2 1 2 2 17930.616 17935.339 -0.035 1 2 2 2 1 1 5257.479 5257.699 -0.003 1 2 2 2 1 2 8904.081 8906.436 -0.025 1 2 2 2 2 1 31078.295 31086.747 -0.048 1 2 2 2 2 2 84649.608 84626.223 0.080 2 1 1 1 1 1 2438.016 2439.074 -0.021 2 1 1 1 1 2 1638.954 1638.323 0.016 2 1 1 1 2 1 5720.511 5718.351 0.029 2 1 1 1 2 2 6108.319 6108.512 -0.002 2 1 1 2 1 1 2840.722 2839.652 0.020 2 1 1 2 1 2 3033.301 3033.401 -0.002 2 1 1 2 2 1 10587.262 10587.688 -0.004 2 1 1 2 2 2 17930.616 17935.329 -0.035 2 1 2 1 1 1 1410.661 1410.118 0.014 2 1 2 1 1 2 1506.293 1506.330 -0.001 2 1 2 1 2 1 5257.479 5257.649 -0.002 2 1 2 1 2 2 8904.081 8906.350 -0.024 2 1 2 2 1 1 2610.787 2610.874 -0.002 2 1 2 2 1 2 4421.636 4422.767 -0.017 2 1 2 2 2 1 15433.024 15437.090 -0.033 2 1 2 2 2 2 42035.752 42023.781 0.058 2 2 1 1 1 1 700.513 700.255 0.010 2 2 1 1 1 2 748.003 748.033 -0.001 2 2 1 1 2 1 2610.787 2610.911 -0.002 2 2 1 1 2 2 4421.636 4422.830 -0.018 2 2 1 2 1 1 1296.478 1296.541 -0.002 2 2 1 2 1 2 2195.719 2196.315 -0.013 2 2 1 2 2 1 7663.813 7665.950 -0.024 2 2 1 2 2 2 20874.336 20868.712 0.039 2 2 2 1 1 1 643.812 643.838 -0.001 2 2 2 1 1 2 1090.362 1090.649 -0.009 2 2 2 1 2 1 3805.737 3806.768 -0.017 2 2 2 1 2 2 10365.889 10363.013 0.028 2 2 2 2 1 1 1889.873 1890.387 -0.012 2 2 2 2 1 2 5147.548 5146.126 0.020 2 2 2 2 2 1 17966.708 17961.878 0.036 2 2 2 2 2 2 81136.025 81147.058 -0.039 *** PSEUDO R-SQUARED MEASURES *** * P(A|X) * baseline fitted R-squared entropy 0.6061 0.5258 0.1325 qualitative variance 0.2077 0.1753 0.1563 classification error 0.2944 0.2671 0.0928 -2/N*log-likelihood 1.2121 1.0516 0.1325/0.1383 likelihood^(-2/N) 3.3607 2.8622 0.1483/0.2112 * P(B|X) * baseline fitted R-squared entropy 0.6828 0.5907 0.1349 qualitative variance 0.2448 0.2028 0.1715 classification error 0.4281 0.3116 0.2722 -2/N*log-likelihood 1.3656 1.1814 0.1349/0.1555 likelihood^(-2/N) 3.9179 3.2588 0.1682/0.2259 * P(C|X) * baseline fitted R-squared entropy 0.6828 0.5907 0.1349 qualitative variance 0.2448 0.2028 0.1715 classification error 0.4281 0.3116 0.2722 -2/N*log-likelihood 1.3656 1.1814 0.1349/0.1555 likelihood^(-2/N) 3.9179 3.2588 0.1682/0.2259 * P(D|X) * baseline fitted R-squared entropy 0.6061 0.5258 0.1325 qualitative variance 0.2077 0.1753 0.1563 classification error 0.2944 0.2671 0.0928 -2/N*log-likelihood 1.2121 1.0516 0.1324/0.1383 likelihood^(-2/N) 3.3607 2.8622 0.1483/0.2112 * P(E|X) * baseline fitted R-squared entropy 0.4810 0.4196 0.1276 qualitative variance 0.1517 0.1320 0.1295 classification error 0.1864 0.1771 0.0498 -2/N*log-likelihood 0.9620 0.8392 0.1276/0.1093 likelihood^(-2/N) 2.6169 2.3146 0.1155/0.1870 * P(F|X) * baseline fitted R-squared entropy 0.6722 0.5817 0.1346 qualitative variance 0.2396 0.1990 0.1695 classification error 0.3980 0.3005 0.2448 -2/N*log-likelihood 1.3444 1.1635 0.1346/0.1532 likelihood^(-2/N) 3.8357 3.2010 0.1655/0.2238 *** LOG-LINEAR PARAMETERS *** * TABLE XA [or P(A|X)] * effect beta std err z-value exp(beta) Wald df prob A 1 0.5250 0.0013 398.916 1.6905 2 -0.5250 0.5916 159134.03 1 0.000 * TABLE XB [or P(B|X)] * effect beta std err z-value exp(beta) Wald df prob B 1 0.1750 0.0012 143.277 1.1912 2 -0.1750 0.8395 20528.34 1 0.000 * TABLE XC [or P(C|X)] * effect beta std err z-value exp(beta) Wald df prob C 1 -0.1750 0.0012 -143.229 0.8395 2 0.1750 1.1912 20514.62 1 0.000 * TABLE XD [or P(D|X)] * effect beta std err z-value exp(beta) Wald df prob D 1 -0.5250 0.0013 -398.727 0.5916 2 0.5250 1.6905 158982.95 1 0.000 * TABLE XE [or P(E|X)] * effect beta std err z-value exp(beta) Wald df prob E 1 -0.8750 0.0015 -578.954 0.4169 2 0.8750 2.3989 335187.69 1 0.000 * TABLE XF [or P(F|X)] * effect beta std err z-value exp(beta) Wald df prob F 1 -0.2500 0.0012 -202.569 0.7788 2 0.2500 1.2840 41034.24 1 0.000 * ALL TABLES * effect beta std err z-value exp(beta) Wald df prob spe(XA,.,XF,1b) 1 1.0000 0.0017 595.330 2.7183 354417.35 1 0.000 *** LATENT CLASS OUTPUT *** X 1 X 2 X 3 X 4 X 5 X 6 X 7 X 8 0.0001 0.0044 0.0540 0.2420 0.3989 0.2420 0.0540 0.0044 A 1 0.9936 0.9829 0.9548 0.8859 0.7408 0.5125 0.2789 0.1246 A 2 0.0064 0.0171 0.0452 0.1141 0.2592 0.4875 0.7211 0.8754 B 1 0.9873 0.9661 0.9129 0.7941 0.5866 0.3430 0.1611 0.0660 B 2 0.0127 0.0339 0.0871 0.2059 0.4134 0.6570 0.8389 0.9340 C 1 0.9747 0.9340 0.8389 0.6570 0.4134 0.2059 0.0871 0.0339 C 2 0.0253 0.0660 0.1611 0.3430 0.5866 0.7941 0.9129 0.9661 D 1 0.9503 0.8754 0.7211 0.4875 0.2592 0.1141 0.0452 0.0171 D 2 0.0497 0.1246 0.2789 0.5125 0.7408 0.8859 0.9548 0.9829 E 1 0.9047 0.7773 0.5622 0.3208 0.1480 0.0601 0.0230 0.0086 E 2 0.0953 0.2227 0.4378 0.6792 0.8520 0.9399 0.9770 0.9914 F 1 0.9707 0.9241 0.8176 0.6225 0.3775 0.1824 0.0759 0.0293 F 2 0.0293 0.0759 0.1824 0.3775 0.6225 0.8176 0.9241 0.9707 X 9 0.0001 A 1 0.0497 A 2 0.9503 B 1 0.0253 B 2 0.9747 C 1 0.0127 C 2 0.9873 D 1 0.0064 D 2 0.9936 E 1 0.0032 E 2 0.9968 F 1 0.0110 F 2 0.9890 E = 0.4600, lambda = 0.2346