Mplus VERSION 7 MUTHEN & MUTHEN 12/01/2012 2:38 PM INPUT INSTRUCTIONS TITLE: Strong 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=weak5c.dif; ! strong vs. weak 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); ! All thresholds are constrained across groups. ! Note that thresholds are constrained across groups by default. [u1$1] (t11); [u1$2] (t12); [u1$3] (t13); [u1$4] (t14); [u2$1] (t21); [u2$2] (t22); [u2$3] (t23); [u2$4] (t24); [u3$1] (t31); [u3$2] (t32); [u3$3] (t33); [u3$4] (t34); [u4$1] (t41); [u4$2] (t42); [u4$3] (t43); [u4$4] (t44); [u5$1] (t51); [u5$2] (t52); [u5$3] (t53); [u5$4] (t54); [u6$1] (t61); [u6$2] (t62); [u6$3] (t63); [u6$4] (t64); [u7$1] (t71); [u7$2] (t72); [u7$3] (t73); [u7$4] (t74); [u8$1] (t81); [u8$2] (t82); [u8$3] (t83); [u8$4] (t84); ! 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); ! All thresholds are constrained across groups. ! Note that thresholds are constrained across groups by default. [u1$1] (t11); [u1$2] (t12); [u1$3] (t13); [u1$4] (t14); [u2$1] (t21); [u2$2] (t22); [u2$3] (t23); [u2$4] (t24); [u3$1] (t31); [u3$2] (t32); [u3$3] (t33); [u3$4] (t34); [u4$1] (t41); [u4$2] (t42); [u4$3] (t43); [u4$4] (t44); [u5$1] (t51); [u5$2] (t52); [u5$3] (t53); [u5$4] (t54); [u6$1] (t61); [u6$2] (t62); [u6$3] (t63); [u6$4] (t64); [u7$1] (t71); [u7$2] (t72); [u7$3] (t73); [u7$4] (t74); [u8$1] (t81); [u8$2] (t82); [u8$3] (t83); [u8$4] (t84); ! 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=strong5c.dif; INPUT READING TERMINATED NORMALLY Strong 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 54 Chi-Square Test of Model Fit Value 67.267* Degrees of Freedom 66 P-Value 0.4335 Chi-Square Contributions From Each Group MALE 38.977 FEMALE 28.290 Chi-Square Test for Difference Testing Value 25.954 Degrees of Freedom 22 P-Value 0.2537 * 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 0.004 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 0.867 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 0.950 0.074 12.917 0.000 U3 0.912 0.069 13.249 0.000 U4 0.971 0.074 13.057 0.000 F2 BY U5 1.000 0.000 999.000 999.000 U6 0.892 0.069 12.999 0.000 U7 1.003 0.079 12.631 0.000 U8 0.866 0.067 12.903 0.000 F1 WITH F2 0.551 0.062 8.868 0.000 Means F1 0.000 0.000 999.000 999.000 F2 0.000 0.000 999.000 999.000 Thresholds U1$1 -2.142 0.096 -22.275 0.000 U1$2 -0.696 0.055 -12.649 0.000 U1$3 0.756 0.056 13.611 0.000 U1$4 2.199 0.096 22.976 0.000 U2$1 -2.154 0.096 -22.343 0.000 U2$2 -0.710 0.053 -13.385 0.000 U2$3 0.671 0.052 12.831 0.000 U2$4 2.240 0.098 22.745 0.000 U3$1 -2.014 0.089 -22.510 0.000 U3$2 -0.685 0.051 -13.411 0.000 U3$3 0.721 0.052 13.840 0.000 U3$4 2.104 0.090 23.353 0.000 U4$1 -2.141 0.094 -22.796 0.000 U4$2 -0.721 0.054 -13.306 0.000 U4$3 0.788 0.055 14.404 0.000 U4$4 2.168 0.093 23.341 0.000 U5$1 -2.098 0.095 -22.020 0.000 U5$2 -0.654 0.054 -12.099 0.000 U5$3 0.818 0.058 14.191 0.000 U5$4 2.275 0.104 21.966 0.000 U6$1 -1.981 0.085 -23.422 0.000 U6$2 -0.566 0.049 -11.579 0.000 U6$3 0.799 0.052 15.317 0.000 U6$4 2.150 0.093 23.186 0.000 U7$1 -2.170 0.095 -22.895 0.000 U7$2 -0.662 0.054 -12.160 0.000 U7$3 0.874 0.059 14.867 0.000 U7$4 2.349 0.104 22.547 0.000 U8$1 -1.953 0.081 -24.262 0.000 U8$2 -0.589 0.048 -12.183 0.000 U8$3 0.728 0.050 14.576 0.000 U8$4 1.958 0.082 24.021 0.000 Variances F1 1.033 0.121 8.535 0.000 F2 1.075 0.127 8.444 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 0.950 0.074 12.917 0.000 U3 0.912 0.069 13.249 0.000 U4 0.971 0.074 13.057 0.000 F2 BY U5 1.000 0.000 999.000 999.000 U6 0.892 0.069 12.999 0.000 U7 1.003 0.079 12.631 0.000 U8 0.866 0.067 12.903 0.000 F1 WITH F2 0.609 0.068 8.908 0.000 Means F1 -0.583 0.061 -9.582 0.000 F2 0.285 0.056 5.053 0.000 Thresholds U1$1 -2.142 0.096 -22.275 0.000 U1$2 -0.696 0.055 -12.649 0.000 U1$3 0.756 0.056 13.611 0.000 U1$4 2.199 0.096 22.976 0.000 U2$1 -2.154 0.096 -22.343 0.000 U2$2 -0.710 0.053 -13.385 0.000 U2$3 0.671 0.052 12.831 0.000 U2$4 2.240 0.098 22.745 0.000 U3$1 -2.014 0.089 -22.510 0.000 U3$2 -0.685 0.051 -13.411 0.000 U3$3 0.721 0.052 13.840 0.000 U3$4 2.104 0.090 23.353 0.000 U4$1 -2.141 0.094 -22.796 0.000 U4$2 -0.721 0.054 -13.306 0.000 U4$3 0.788 0.055 14.404 0.000 U4$4 2.168 0.093 23.341 0.000 U5$1 -2.098 0.095 -22.020 0.000 U5$2 -0.654 0.054 -12.099 0.000 U5$3 0.818 0.058 14.191 0.000 U5$4 2.275 0.104 21.966 0.000 U6$1 -1.981 0.085 -23.422 0.000 U6$2 -0.566 0.049 -11.579 0.000 U6$3 0.799 0.052 15.317 0.000 U6$4 2.150 0.093 23.186 0.000 U7$1 -2.170 0.095 -22.895 0.000 U7$2 -0.662 0.054 -12.160 0.000 U7$3 0.874 0.059 14.867 0.000 U7$4 2.349 0.104 22.547 0.000 U8$1 -1.953 0.081 -24.262 0.000 U8$2 -0.589 0.048 -12.183 0.000 U8$3 0.728 0.050 14.576 0.000 U8$4 1.958 0.082 24.021 0.000 Variances F1 1.130 0.131 8.597 0.000 F2 1.211 0.143 8.480 0.000 Residual Variances U1 1.181 0.120 9.833 0.000 U2 1.035 0.107 9.663 0.000 U3 0.848 0.087 9.717 0.000 U4 1.032 0.103 9.971 0.000 U5 0.988 0.103 9.629 0.000 U6 0.885 0.087 10.151 0.000 U7 1.229 0.122 10.094 0.000 U8 0.879 0.085 10.372 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value Group MALE F1 BY U1 0.713 0.021 34.697 0.000 U2 0.694 0.021 32.663 0.000 U3 0.680 0.021 31.881 0.000 U4 0.703 0.020 34.430 0.000 F2 BY U5 0.720 0.021 35.033 0.000 U6 0.679 0.021 31.665 0.000 U7 0.721 0.020 35.199 0.000 U8 0.668 0.021 32.010 0.000 F1 WITH F2 0.523 0.034 15.526 0.000 Means F1 0.000 0.000 999.000 999.000 F2 0.000 0.000 999.000 999.000 Thresholds U1$1 -1.503 0.051 -29.566 0.000 U1$2 -0.488 0.035 -13.811 0.000 U1$3 0.530 0.037 14.158 0.000 U1$4 1.543 0.057 27.159 0.000 U2$1 -1.550 0.053 -29.488 0.000 U2$2 -0.511 0.035 -14.717 0.000 U2$3 0.483 0.036 13.272 0.000 U2$4 1.612 0.059 27.312 0.000 U3$1 -1.477 0.050 -29.463 0.000 U3$2 -0.503 0.034 -14.720 0.000 U3$3 0.529 0.037 14.398 0.000 U3$4 1.543 0.057 27.155 0.000 U4$1 -1.524 0.051 -29.632 0.000 U4$2 -0.513 0.035 -14.562 0.000 U4$3 0.561 0.037 14.974 0.000 U4$4 1.543 0.057 27.064 0.000 U5$1 -1.457 0.053 -27.458 0.000 U5$2 -0.454 0.035 -12.792 0.000 U5$3 0.568 0.036 15.674 0.000 U5$4 1.579 0.054 29.290 0.000 U6$1 -1.455 0.052 -28.080 0.000 U6$2 -0.415 0.035 -11.954 0.000 U6$3 0.587 0.035 16.707 0.000 U6$4 1.578 0.053 29.726 0.000 U7$1 -1.505 0.053 -28.406 0.000 U7$2 -0.459 0.036 -12.843 0.000 U7$3 0.606 0.037 16.474 0.000 U7$4 1.629 0.056 29.187 0.000 U8$1 -1.454 0.051 -28.377 0.000 U8$2 -0.438 0.035 -12.546 0.000 U8$3 0.542 0.035 15.657 0.000 U8$4 1.457 0.050 29.325 0.000 Variances F1 1.000 0.000 999.000 999.000 F2 1.000 0.000 999.000 999.000 Residual Variances U1 0.492 0.029 16.801 0.000 U2 0.518 0.030 17.538 0.000 U3 0.538 0.029 18.545 0.000 U4 0.506 0.029 17.668 0.000 U5 0.482 0.030 16.302 0.000 U6 0.539 0.029 18.514 0.000 U7 0.481 0.030 16.290 0.000 U8 0.554 0.028 19.851 0.000 Group FEMALE F1 BY U1 0.699 0.021 33.881 0.000 U2 0.704 0.021 33.358 0.000 U3 0.725 0.020 35.880 0.000 U4 0.713 0.020 35.381 0.000 F2 BY U5 0.742 0.020 37.562 0.000 U6 0.722 0.020 35.815 0.000 U7 0.705 0.021 34.138 0.000 U8 0.713 0.021 34.521 0.000 F1 WITH F2 0.520 0.033 15.803 0.000 Means F1 -0.548 0.052 -10.524 0.000 F2 0.259 0.050 5.182 0.000 Thresholds U1$1 -1.409 0.046 -30.432 0.000 U1$2 -0.458 0.034 -13.356 0.000 U1$3 0.497 0.035 14.230 0.000 U1$4 1.447 0.056 25.679 0.000 U2$1 -1.503 0.049 -30.748 0.000 U2$2 -0.495 0.035 -14.148 0.000 U2$3 0.468 0.035 13.367 0.000 U2$4 1.563 0.061 25.541 0.000 U3$1 -1.506 0.049 -30.914 0.000 U3$2 -0.512 0.036 -14.324 0.000 U3$3 0.539 0.037 14.578 0.000 U3$4 1.573 0.062 25.315 0.000 U4$1 -1.478 0.048 -30.751 0.000 U4$2 -0.498 0.035 -14.288 0.000 U4$3 0.544 0.036 15.146 0.000 U4$4 1.497 0.058 25.626 0.000 U5$1 -1.415 0.052 -27.035 0.000 U5$2 -0.441 0.035 -12.675 0.000 U5$3 0.552 0.035 15.736 0.000 U5$4 1.534 0.052 29.735 0.000 U6$1 -1.457 0.054 -26.983 0.000 U6$2 -0.416 0.035 -11.997 0.000 U6$3 0.588 0.036 16.555 0.000 U6$4 1.581 0.052 30.520 0.000 U7$1 -1.387 0.052 -26.902 0.000 U7$2 -0.423 0.033 -12.718 0.000 U7$3 0.559 0.034 16.439 0.000 U7$4 1.502 0.049 30.451 0.000 U8$1 -1.461 0.054 -26.844 0.000 U8$2 -0.440 0.035 -12.626 0.000 U8$3 0.544 0.035 15.373 0.000 U8$4 1.464 0.049 29.728 0.000 Variances F1 1.000 0.000 999.000 999.000 F2 1.000 0.000 999.000 999.000 Residual Variances U1 0.511 0.029 17.698 0.000 U2 0.504 0.030 16.937 0.000 U3 0.474 0.029 16.166 0.000 U4 0.492 0.029 17.113 0.000 U5 0.449 0.029 15.330 0.000 U6 0.479 0.029 16.449 0.000 U7 0.502 0.029 17.228 0.000 U8 0.492 0.029 16.699 0.000 R-SQUARE Group MALE Observed Two-Tailed Scale Variable Estimate S.E. Est./S.E. P-Value Factors U1 0.508 0.029 17.349 0.000 0.701 U2 0.482 0.030 16.331 0.000 0.720 U3 0.462 0.029 15.941 0.000 0.733 U4 0.494 0.029 17.215 0.000 0.712 U5 0.518 0.030 17.516 0.000 0.694 U6 0.461 0.029 15.833 0.000 0.734 U7 0.519 0.030 17.600 0.000 0.693 U8 0.446 0.028 16.005 0.000 0.744 Group FEMALE Observed Two-Tailed Scale Variable Estimate S.E. Est./S.E. P-Value Factors U1 0.489 0.029 16.941 0.000 0.658 U2 0.496 0.030 16.679 0.000 0.698 U3 0.526 0.029 17.940 0.000 0.748 U4 0.508 0.029 17.691 0.000 0.690 U5 0.551 0.029 18.781 0.000 0.674 U6 0.521 0.029 17.907 0.000 0.735 U7 0.498 0.029 17.069 0.000 0.639 U8 0.508 0.029 17.261 0.000 0.748 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.428E-02 (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 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 42 U2 0 43 U3 0 0 44 U4 0 0 0 45 U5 0 0 0 0 46 U6 0 0 0 0 0 U7 0 0 0 0 0 U8 0 0 0 0 0 THETA U6 U7 U8 ________ ________ ________ U6 47 U7 0 48 U8 0 0 49 ALPHA F1 F2 ________ ________ 1 50 51 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 52 F2 53 54 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 0.709 1.681 -1.337 TAU U2$2 U2$3 U2$4 U3$1 U3$2 ________ ________ ________ ________ ________ 1 -0.309 0.671 1.776 -1.301 -0.309 TAU U3$3 U3$4 U4$1 U4$2 U4$3 ________ ________ ________ ________ ________ 1 0.733 1.763 -1.299 -0.310 0.745 TAU U4$4 U5$1 U5$2 U5$3 U5$4 ________ ________ ________ ________ ________ 1 1.721 -1.530 -0.546 0.464 1.457 TAU U6$1 U6$2 U6$3 U6$4 U7$1 ________ ________ ________ ________ ________ 1 -1.551 -0.509 0.494 1.494 -1.542 TAU U7$2 U7$3 U7$4 U8$1 U8$2 ________ ________ ________ ________ ________ 1 -0.534 0.492 1.472 -1.552 -0.531 TAU U8$3 U8$4 ________ ________ 1 0.450 1.368 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 strong5c.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\strong5c.dgm Beginning Time: 14:38:37 Ending Time: 14:38:38 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