Mplus VERSION 7 MUTHEN & MUTHEN 12/01/2012 2:37 PM INPUT INSTRUCTIONS TITLE: Weak Invariance for 5-points Likert Items See Millsap & Tein (2004, p.485) for further details DATA: FILE IS example5c.csv; VARIABLE: NAMES ARE u1-u8 g; USEVARIABLES ARE u1-u8; CATEGORICAL ARE u1-u8; GROUPING IS g (1=male 2=female); ANALYSIS: PARAMETERIZATION = THETA; ESTIMATOR = WLSMV; ! Put the chi-square values of the model that we wish to compare with this model DIFFTEST=configural5c.dif; ! weak vs. configural MODEL: ! Factor loadings are constrained across groups ! except the marker variables, which are fixed. f1 BY u1@1 u2 (f21) u3 (f31) u4 (f41); f2 BY u5@1 u6 (f62) u7 (f72) u8 (f82); ! One threshold in each item are constrained across groups ! One additional threshold in the marker variable are constrained across groups [u1$1] (t11); [u1$2] (t12); [u1$3]; [u1$4]; [u2$1] (t21); [u2$2]; [u2$3]; [u2$4]; [u3$1] (t31); [u3$2]; [u3$3]; [u3$4]; [u4$1] (t41); [u4$2]; [u4$3]; [u4$4]; [u5$1] (t51); [u5$2] (t52); [u5$3]; [u5$4]; [u6$1] (t6); [u6$2]; [u6$3]; [u6$4]; [u7$1] (t7); [u7$2]; [u7$3]; [u7$4]; [u8$1] (t8); [u8$2]; [u8$3]; [u8$4]; ! Factor variance/covariance are free across groups f1*; f2*; f1 WITH f2*; ! Factor mean of the first group are fixed to zeros [f1@0]; [f2@0]; ! Unique variances of the all groups are fixed as 1 u1@1; u2@1; u3@1; u4@1; u5@1; u6@1; u7@1; u8@1; MODEL female: ! Factor loadings are constrained across groups ! except the marker variables, which are fixed. f1 BY u1@1 u2 (f21) u3 (f31) u4 (f41); f2 BY u5@1 u6 (f62) u7 (f72) u8 (f82); ! One threshold in each item are constrained across groups ! One additional threshold in the marker variable are constrained across groups [u1$1] (t11); [u1$2] (t12); [u1$3]; [u1$4]; [u2$1] (t21); [u2$2]; [u2$3]; [u2$4]; [u3$1] (t31); [u3$2]; [u3$3]; [u3$4]; [u4$1] (t41); [u4$2]; [u4$3]; [u4$4]; [u5$1] (t51); [u5$2] (t52); [u5$3]; [u5$4]; [u6$1] (t6); [u6$2]; [u6$3]; [u6$4]; [u7$1] (t7); [u7$2]; [u7$3]; [u7$4]; [u8$1] (t8); [u8$2]; [u8$3]; [u8$4]; ! Factor variance/covariance are free across groups f1*; f2*; f1 WITH f2*; ! Factor mean of the second group are free [f1*]; [f2*]; ! Unique variances are free in the second group. u1*; u2*; u3*; u4*; u5*; u6*; u7*; u8*; OUTPUT: TECH1; STDYX; ! Save the chi-square values for difference testing with other nested models SAVEDATA: DIFFTEST=weak5c.dif; INPUT READING TERMINATED NORMALLY Weak Invariance for 5-points Likert Items See Millsap & Tein (2004, p.485) for further details SUMMARY OF ANALYSIS Number of groups 2 Number of observations Group MALE 1000 Group FEMALE 1000 Number of dependent variables 8 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Binary and ordered categorical (ordinal) U1 U2 U3 U4 U5 U6 U7 U8 Continuous latent variables F1 F2 Variables with special functions Grouping variable G Estimator WLSMV Maximum number of iterations 1000 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Parameterization THETA Input data file(s) example5c.csv Input data format FREE UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES Group MALE U1 Category 1 0.066 66.000 Category 2 0.256 256.000 Category 3 0.373 373.000 Category 4 0.246 246.000 Category 5 0.059 59.000 U2 Category 1 0.058 58.000 Category 2 0.253 253.000 Category 3 0.369 369.000 Category 4 0.268 268.000 Category 5 0.052 52.000 U3 Category 1 0.064 64.000 Category 2 0.241 241.000 Category 3 0.395 395.000 Category 4 0.237 237.000 Category 5 0.063 63.000 U4 Category 1 0.070 70.000 Category 2 0.228 228.000 Category 3 0.423 423.000 Category 4 0.216 216.000 Category 5 0.063 63.000 U5 Category 1 0.064 64.000 Category 2 0.271 271.000 Category 3 0.387 387.000 Category 4 0.214 214.000 Category 5 0.064 64.000 U6 Category 1 0.074 74.000 Category 2 0.261 261.000 Category 3 0.389 389.000 Category 4 0.225 225.000 Category 5 0.051 51.000 U7 Category 1 0.070 70.000 Category 2 0.261 261.000 Category 3 0.410 410.000 Category 4 0.206 206.000 Category 5 0.053 53.000 U8 Category 1 0.075 75.000 Category 2 0.242 242.000 Category 3 0.368 368.000 Category 4 0.243 243.000 Category 5 0.072 72.000 Group FEMALE U1 Category 1 0.153 153.000 Category 2 0.307 307.000 Category 3 0.358 358.000 Category 4 0.146 146.000 Category 5 0.036 36.000 U2 Category 1 0.135 135.000 Category 2 0.315 315.000 Category 3 0.359 359.000 Category 4 0.164 164.000 Category 5 0.027 27.000 U3 Category 1 0.140 140.000 Category 2 0.317 317.000 Category 3 0.370 370.000 Category 4 0.150 150.000 Category 5 0.023 23.000 U4 Category 1 0.131 131.000 Category 2 0.333 333.000 Category 3 0.353 353.000 Category 4 0.155 155.000 Category 5 0.028 28.000 U5 Category 1 0.062 62.000 Category 2 0.191 191.000 Category 3 0.380 380.000 Category 4 0.285 285.000 Category 5 0.082 82.000 U6 Category 1 0.049 49.000 Category 2 0.228 228.000 Category 3 0.376 376.000 Category 4 0.259 259.000 Category 5 0.088 88.000 U7 Category 1 0.054 54.000 Category 2 0.210 210.000 Category 3 0.368 368.000 Category 4 0.276 276.000 Category 5 0.092 92.000 U8 Category 1 0.048 48.000 Category 2 0.231 231.000 Category 3 0.383 383.000 Category 4 0.237 237.000 Category 5 0.101 101.000 THE MODEL ESTIMATION TERMINATED NORMALLY MODEL FIT INFORMATION Number of Free Parameters 76 Chi-Square Test of Model Fit Value 41.532* Degrees of Freedom 44 P-Value 0.5780 Chi-Square Contributions From Each Group MALE 26.008 FEMALE 15.523 Chi-Square Test for Difference Testing Value 5.892 Degrees of Freedom 6 P-Value 0.4354 * The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used for chi-square difference testing in the regular way. MLM, MLR and WLSM chi-square difference testing is described on the Mplus website. MLMV, WLSMV, and ULSMV difference testing is done using the DIFFTEST option. RMSEA (Root Mean Square Error Of Approximation) Estimate 0.000 90 Percent C.I. 0.000 0.019 Probability RMSEA <= .05 1.000 CFI/TLI CFI 1.000 TLI 1.000 Chi-Square Test of Model Fit for the Baseline Model Value 6820.710 Degrees of Freedom 56 P-Value 0.0000 WRMR (Weighted Root Mean Square Residual) Value 0.662 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value Group MALE F1 BY U1 1.000 0.000 999.000 999.000 U2 0.944 0.079 11.960 0.000 U3 0.906 0.073 12.443 0.000 U4 0.953 0.077 12.379 0.000 F2 BY U5 1.000 0.000 999.000 999.000 U6 0.830 0.073 11.330 0.000 U7 0.964 0.086 11.203 0.000 U8 0.848 0.077 11.068 0.000 F1 WITH F2 0.574 0.068 8.464 0.000 Means F1 0.000 0.000 999.000 999.000 F2 0.000 0.000 999.000 999.000 Thresholds U1$1 -2.161 0.106 -20.298 0.000 U1$2 -0.661 0.061 -10.772 0.000 U1$3 0.730 0.062 11.820 0.000 U1$4 2.237 0.103 21.765 0.000 U2$1 -2.166 0.107 -20.298 0.000 U2$2 -0.686 0.060 -11.423 0.000 U2$3 0.650 0.059 11.054 0.000 U2$4 2.261 0.105 21.510 0.000 U3$1 -2.029 0.098 -20.631 0.000 U3$2 -0.696 0.059 -11.715 0.000 U3$3 0.715 0.058 12.249 0.000 U3$4 2.087 0.095 22.047 0.000 U4$1 -2.121 0.100 -21.130 0.000 U4$2 -0.741 0.061 -12.115 0.000 U4$3 0.819 0.061 13.483 0.000 U4$4 2.139 0.096 22.179 0.000 U5$1 -2.173 0.112 -19.364 0.000 U5$2 -0.626 0.063 -9.926 0.000 U5$3 0.863 0.066 13.053 0.000 U5$4 2.230 0.111 20.107 0.000 U6$1 -1.919 0.090 -21.381 0.000 U6$2 -0.570 0.056 -10.180 0.000 U6$3 0.796 0.058 13.651 0.000 U6$4 2.187 0.098 22.350 0.000 U7$1 -2.163 0.103 -20.947 0.000 U7$2 -0.628 0.061 -10.290 0.000 U7$3 0.929 0.066 14.158 0.000 U7$4 2.323 0.109 21.296 0.000 U8$1 -1.968 0.090 -21.833 0.000 U8$2 -0.643 0.057 -11.206 0.000 U8$3 0.651 0.057 11.378 0.000 U8$4 1.973 0.088 22.392 0.000 Variances F1 1.049 0.128 8.187 0.000 F2 1.146 0.152 7.562 0.000 Residual Variances U1 1.000 0.000 999.000 999.000 U2 1.000 0.000 999.000 999.000 U3 1.000 0.000 999.000 999.000 U4 1.000 0.000 999.000 999.000 U5 1.000 0.000 999.000 999.000 U6 1.000 0.000 999.000 999.000 U7 1.000 0.000 999.000 999.000 U8 1.000 0.000 999.000 999.000 Group FEMALE F1 BY U1 1.000 0.000 999.000 999.000 U2 0.944 0.079 11.960 0.000 U3 0.906 0.073 12.443 0.000 U4 0.953 0.077 12.379 0.000 F2 BY U5 1.000 0.000 999.000 999.000 U6 0.830 0.073 11.330 0.000 U7 0.964 0.086 11.203 0.000 U8 0.848 0.077 11.068 0.000 F1 WITH F2 0.728 0.106 6.850 0.000 Means F1 -0.497 0.094 -5.279 0.000 F2 0.492 0.153 3.226 0.001 Thresholds U1$1 -2.161 0.106 -20.298 0.000 U1$2 -0.661 0.061 -10.772 0.000 U1$3 0.981 0.177 5.546 0.000 U1$4 2.433 0.303 8.039 0.000 U2$1 -2.166 0.107 -20.298 0.000 U2$2 -0.661 0.097 -6.782 0.000 U2$3 0.865 0.161 5.379 0.000 U2$4 2.469 0.282 8.766 0.000 U3$1 -2.029 0.098 -20.631 0.000 U3$2 -0.605 0.091 -6.614 0.000 U3$3 0.898 0.163 5.519 0.000 U3$4 2.405 0.282 8.537 0.000 U4$1 -2.121 0.100 -21.130 0.000 U4$2 -0.611 0.095 -6.420 0.000 U4$3 0.892 0.166 5.370 0.000 U4$4 2.414 0.286 8.445 0.000 U5$1 -2.173 0.112 -19.364 0.000 U5$2 -0.626 0.063 -9.926 0.000 U5$3 1.064 0.191 5.557 0.000 U5$4 2.835 0.348 8.158 0.000 U6$1 -1.919 0.090 -21.381 0.000 U6$2 -0.416 0.093 -4.456 0.000 U6$3 0.957 0.160 5.968 0.000 U6$4 2.294 0.257 8.931 0.000 U7$1 -2.163 0.103 -20.947 0.000 U7$2 -0.588 0.108 -5.451 0.000 U7$3 1.042 0.185 5.636 0.000 U7$4 2.711 0.313 8.655 0.000 U8$1 -1.968 0.090 -21.833 0.000 U8$2 -0.435 0.098 -4.457 0.000 U8$3 1.025 0.164 6.234 0.000 U8$4 2.273 0.253 8.987 0.000 Variances F1 1.296 0.222 5.824 0.000 F2 1.512 0.273 5.540 0.000 Residual Variances U1 1.357 0.237 5.725 0.000 U2 1.174 0.190 6.178 0.000 U3 0.984 0.164 6.015 0.000 U4 1.106 0.182 6.070 0.000 U5 1.323 0.252 5.246 0.000 U6 0.901 0.149 6.040 0.000 U7 1.428 0.243 5.868 0.000 U8 1.030 0.166 6.219 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value Group MALE F1 BY U1 0.716 0.021 33.551 0.000 U2 0.695 0.022 31.127 0.000 U3 0.680 0.022 30.516 0.000 U4 0.699 0.021 33.037 0.000 F2 BY U5 0.731 0.023 32.461 0.000 U6 0.664 0.023 28.339 0.000 U7 0.718 0.022 32.939 0.000 U8 0.672 0.023 29.364 0.000 F1 WITH F2 0.523 0.034 15.527 0.000 Means F1 0.000 0.000 999.000 999.000 F2 0.000 0.000 999.000 999.000 Thresholds U1$1 -1.509 0.056 -27.158 0.000 U1$2 -0.462 0.041 -11.187 0.000 U1$3 0.510 0.042 12.270 0.000 U1$4 1.563 0.063 24.661 0.000 U2$1 -1.558 0.058 -27.066 0.000 U2$2 -0.493 0.041 -11.898 0.000 U2$3 0.468 0.041 11.338 0.000 U2$4 1.626 0.066 24.638 0.000 U3$1 -1.487 0.055 -27.154 0.000 U3$2 -0.510 0.042 -12.271 0.000 U3$3 0.524 0.042 12.581 0.000 U3$4 1.530 0.062 24.644 0.000 U4$1 -1.518 0.055 -27.478 0.000 U4$2 -0.530 0.042 -12.705 0.000 U4$3 0.586 0.042 13.878 0.000 U4$4 1.530 0.062 24.646 0.000 U5$1 -1.484 0.057 -26.186 0.000 U5$2 -0.427 0.041 -10.406 0.000 U5$3 0.589 0.042 13.941 0.000 U5$4 1.522 0.062 24.638 0.000 U6$1 -1.435 0.054 -26.441 0.000 U6$2 -0.426 0.041 -10.399 0.000 U6$3 0.595 0.042 14.063 0.000 U6$4 1.635 0.066 24.625 0.000 U7$1 -1.505 0.056 -26.902 0.000 U7$2 -0.437 0.041 -10.652 0.000 U7$3 0.647 0.043 15.108 0.000 U7$4 1.616 0.066 24.647 0.000 U8$1 -1.457 0.054 -27.099 0.000 U8$2 -0.476 0.041 -11.528 0.000 U8$3 0.482 0.041 11.652 0.000 U8$4 1.461 0.060 24.528 0.000 Variances F1 1.000 0.000 999.000 999.000 F2 1.000 0.000 999.000 999.000 Residual Variances U1 0.488 0.031 15.992 0.000 U2 0.517 0.031 16.652 0.000 U3 0.537 0.030 17.715 0.000 U4 0.512 0.030 17.329 0.000 U5 0.466 0.033 14.160 0.000 U6 0.559 0.031 17.953 0.000 U7 0.484 0.031 15.457 0.000 U8 0.548 0.031 17.830 0.000 Group FEMALE F1 BY U1 0.699 0.023 30.270 0.000 U2 0.704 0.023 30.002 0.000 U3 0.721 0.022 32.506 0.000 U4 0.718 0.022 32.429 0.000 F2 BY U5 0.730 0.020 36.213 0.000 U6 0.732 0.021 35.374 0.000 U7 0.704 0.021 32.846 0.000 U8 0.716 0.021 33.704 0.000 F1 WITH F2 0.520 0.033 15.796 0.000 Means F1 -0.437 0.102 -4.282 0.000 F2 0.400 0.101 3.978 0.000 Thresholds U1$1 -1.327 0.080 -16.559 0.000 U1$2 -0.406 0.052 -7.812 0.000 U1$3 0.603 0.073 8.263 0.000 U1$4 1.494 0.097 15.405 0.000 U2$1 -1.420 0.082 -17.334 0.000 U2$2 -0.433 0.077 -5.660 0.000 U2$3 0.567 0.079 7.215 0.000 U2$4 1.618 0.106 15.339 0.000 U3$1 -1.418 0.083 -17.086 0.000 U3$2 -0.423 0.078 -5.396 0.000 U3$3 0.628 0.081 7.712 0.000 U3$4 1.681 0.110 15.235 0.000 U4$1 -1.404 0.084 -16.776 0.000 U4$2 -0.404 0.077 -5.264 0.000 U4$3 0.590 0.080 7.384 0.000 U4$4 1.597 0.107 14.989 0.000 U5$1 -1.291 0.088 -14.619 0.000 U5$2 -0.372 0.051 -7.276 0.000 U5$3 0.632 0.072 8.828 0.000 U5$4 1.684 0.087 19.334 0.000 U6$1 -1.377 0.090 -15.368 0.000 U6$2 -0.299 0.078 -3.840 0.000 U6$3 0.686 0.077 8.868 0.000 U6$4 1.646 0.087 18.851 0.000 U7$1 -1.285 0.085 -15.059 0.000 U7$2 -0.349 0.077 -4.556 0.000 U7$3 0.619 0.075 8.307 0.000 U7$4 1.611 0.085 19.019 0.000 U8$1 -1.353 0.087 -15.593 0.000 U8$2 -0.299 0.077 -3.879 0.000 U8$3 0.705 0.076 9.254 0.000 U8$4 1.563 0.085 18.453 0.000 Variances F1 1.000 0.000 999.000 999.000 F2 1.000 0.000 999.000 999.000 Residual Variances U1 0.512 0.032 15.850 0.000 U2 0.504 0.033 15.254 0.000 U3 0.480 0.032 15.028 0.000 U4 0.484 0.032 15.233 0.000 U5 0.467 0.029 15.842 0.000 U6 0.464 0.030 15.317 0.000 U7 0.504 0.030 16.687 0.000 U8 0.487 0.030 15.981 0.000 R-SQUARE Group MALE Observed Two-Tailed Scale Variable Estimate S.E. Est./S.E. P-Value Factors U1 0.512 0.031 16.776 0.000 0.699 U2 0.483 0.031 15.564 0.000 0.719 U3 0.463 0.030 15.258 0.000 0.733 U4 0.488 0.030 16.519 0.000 0.716 U5 0.534 0.033 16.230 0.000 0.683 U6 0.441 0.031 14.170 0.000 0.748 U7 0.516 0.031 16.470 0.000 0.696 U8 0.452 0.031 14.682 0.000 0.741 Group FEMALE Observed Two-Tailed Scale Variable Estimate S.E. Est./S.E. P-Value Factors U1 0.488 0.032 15.135 0.000 0.614 U2 0.496 0.033 15.001 0.000 0.655 U3 0.520 0.032 16.253 0.000 0.699 U4 0.516 0.032 16.215 0.000 0.662 U5 0.533 0.029 18.106 0.000 0.594 U6 0.536 0.030 17.687 0.000 0.718 U7 0.496 0.030 16.423 0.000 0.594 U8 0.513 0.030 16.852 0.000 0.687 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.421E-03 (ratio of smallest to largest eigenvalue) TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR MALE TAU U1$1 U1$2 U1$3 U1$4 U2$1 ________ ________ ________ ________ ________ 1 1 2 3 4 5 TAU U2$2 U2$3 U2$4 U3$1 U3$2 ________ ________ ________ ________ ________ 1 6 7 8 9 10 TAU U3$3 U3$4 U4$1 U4$2 U4$3 ________ ________ ________ ________ ________ 1 11 12 13 14 15 TAU U4$4 U5$1 U5$2 U5$3 U5$4 ________ ________ ________ ________ ________ 1 16 17 18 19 20 TAU U6$1 U6$2 U6$3 U6$4 U7$1 ________ ________ ________ ________ ________ 1 21 22 23 24 25 TAU U7$2 U7$3 U7$4 U8$1 U8$2 ________ ________ ________ ________ ________ 1 26 27 28 29 30 TAU U8$3 U8$4 ________ ________ 1 31 32 NU U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U6 U7 U8 ________ ________ ________ 1 0 0 0 LAMBDA F1 F2 ________ ________ U1 0 0 U2 33 0 U3 34 0 U4 35 0 U5 0 0 U6 0 36 U7 0 37 U8 0 38 THETA U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ U1 0 U2 0 0 U3 0 0 0 U4 0 0 0 0 U5 0 0 0 0 0 U6 0 0 0 0 0 U7 0 0 0 0 0 U8 0 0 0 0 0 THETA U6 U7 U8 ________ ________ ________ U6 0 U7 0 0 U8 0 0 0 ALPHA F1 F2 ________ ________ 1 0 0 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 39 F2 40 41 PARAMETER SPECIFICATION FOR FEMALE TAU U1$1 U1$2 U1$3 U1$4 U2$1 ________ ________ ________ ________ ________ 1 1 2 42 43 5 TAU U2$2 U2$3 U2$4 U3$1 U3$2 ________ ________ ________ ________ ________ 1 44 45 46 9 47 TAU U3$3 U3$4 U4$1 U4$2 U4$3 ________ ________ ________ ________ ________ 1 48 49 13 50 51 TAU U4$4 U5$1 U5$2 U5$3 U5$4 ________ ________ ________ ________ ________ 1 52 17 18 53 54 TAU U6$1 U6$2 U6$3 U6$4 U7$1 ________ ________ ________ ________ ________ 1 21 55 56 57 25 TAU U7$2 U7$3 U7$4 U8$1 U8$2 ________ ________ ________ ________ ________ 1 58 59 60 29 61 TAU U8$3 U8$4 ________ ________ 1 62 63 NU U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U6 U7 U8 ________ ________ ________ 1 0 0 0 LAMBDA F1 F2 ________ ________ U1 0 0 U2 33 0 U3 34 0 U4 35 0 U5 0 0 U6 0 36 U7 0 37 U8 0 38 THETA U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ U1 64 U2 0 65 U3 0 0 66 U4 0 0 0 67 U5 0 0 0 0 68 U6 0 0 0 0 0 U7 0 0 0 0 0 U8 0 0 0 0 0 THETA U6 U7 U8 ________ ________ ________ U6 69 U7 0 70 U8 0 0 71 ALPHA F1 F2 ________ ________ 1 72 73 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 74 F2 75 76 STARTING VALUES FOR MALE TAU U1$1 U1$2 U1$3 U1$4 U2$1 ________ ________ ________ ________ ________ 1 -1.506 -0.462 0.510 1.563 -1.572 TAU U2$2 U2$3 U2$4 U3$1 U3$2 ________ ________ ________ ________ ________ 1 -0.493 0.468 1.626 -1.522 -0.510 TAU U3$3 U3$4 U4$1 U4$2 U4$3 ________ ________ ________ ________ ________ 1 0.524 1.530 -1.476 -0.530 0.586 TAU U4$4 U5$1 U5$2 U5$3 U5$4 ________ ________ ________ ________ ________ 1 1.530 -1.522 -0.426 0.589 1.522 TAU U6$1 U6$2 U6$3 U6$4 U7$1 ________ ________ ________ ________ ________ 1 -1.447 -0.426 0.595 1.635 -1.476 TAU U7$2 U7$3 U7$4 U8$1 U8$2 ________ ________ ________ ________ ________ 1 -0.437 0.646 1.616 -1.440 -0.476 TAU U8$3 U8$4 ________ ________ 1 0.482 1.461 NU U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU U6 U7 U8 ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA F1 F2 ________ ________ U1 1.000 0.000 U2 0.910 0.000 U3 0.937 0.000 U4 0.996 0.000 U5 0.000 1.000 U6 0.000 0.911 U7 0.000 0.962 U8 0.000 0.947 THETA U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ U1 1.000 U2 0.000 1.000 U3 0.000 0.000 1.000 U4 0.000 0.000 0.000 1.000 U5 0.000 0.000 0.000 0.000 1.000 U6 0.000 0.000 0.000 0.000 0.000 U7 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 THETA U6 U7 U8 ________ ________ ________ U6 1.000 U7 0.000 1.000 U8 0.000 0.000 1.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 0.050 F2 0.000 0.050 STARTING VALUES FOR FEMALE TAU U1$1 U1$2 U1$3 U1$4 U2$1 ________ ________ ________ ________ ________ 1 -1.265 -0.281 0.908 1.799 -1.337 TAU U2$2 U2$3 U2$4 U3$1 U3$2 ________ ________ ________ ________ ________ 1 -0.126 0.874 1.927 -1.301 -0.108 TAU U3$3 U3$4 U4$1 U4$2 U4$3 ________ ________ ________ ________ ________ 1 0.942 1.995 -1.299 -0.090 0.904 TAU U4$4 U5$1 U5$2 U5$3 U5$4 ________ ________ ________ ________ ________ 1 1.911 -1.530 -0.546 0.340 1.392 TAU U6$1 U6$2 U6$3 U6$4 U7$1 ________ ________ ________ ________ ________ 1 -1.551 -0.592 0.393 1.353 -1.542 TAU U7$2 U7$3 U7$4 U8$1 U8$2 ________ ________ ________ ________ ________ 1 -0.631 0.337 1.329 -1.552 -0.586 TAU U8$3 U8$4 ________ ________ 1 0.418 1.276 NU U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU U6 U7 U8 ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA F1 F2 ________ ________ U1 1.000 0.000 U2 1.019 0.000 U3 1.030 0.000 U4 0.988 0.000 U5 0.000 1.000 U6 0.000 1.009 U7 0.000 0.957 U8 0.000 0.999 THETA U1 U2 U3 U4 U5 ________ ________ ________ ________ ________ U1 1.000 U2 0.000 1.000 U3 0.000 0.000 1.000 U4 0.000 0.000 0.000 1.000 U5 0.000 0.000 0.000 0.000 1.000 U6 0.000 0.000 0.000 0.000 0.000 U7 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 THETA U6 U7 U8 ________ ________ ________ U6 1.000 U7 0.000 1.000 U8 0.000 0.000 1.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 0.050 F2 0.000 0.050 SAVEDATA INFORMATION Difference testing Save file weak5c.dif Save format Free DIAGRAM INFORMATION Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram. If running Mplus from the Mplus Diagrammer, the diagram opens automatically. Diagram output c:\users\s044p855.home\desktop\sem\categorical invariance\weak5c.dgm Beginning Time: 14:37:26 Ending Time: 14:37:27 Elapsed Time: 00:00:01 MUTHEN & MUTHEN 3463 Stoner Ave. Los Angeles, CA 90066 Tel: (310) 391-9971 Fax: (310) 391-8971 Web: www.StatModel.com Support: Support@StatModel.com Copyright (c) 1998-2012 Muthen & Muthen