The data sets used Chapter 4 is the same as in Chapter 2 and we assume that an SSM file has been created based on these data files.
Part 1: The variable sex is not centered and is a fixed effect.
Sigma_squared = 0.45992 Tau INTRCPT1,B0 0.86222 Tau (as correlations) INTRCPT1,B0 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.974 ---------------------------------------------------- The value of the likelihood function at iteration 3 = -2.246446E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 4.897221 0.095295 51.390 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843701 0.030963 27.248 1998 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 4.897221 0.098254 49.843 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843701 0.059144 14.265 1998 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.92856 0.86222 99 3788.54686 0.000 level-1, R 0.67817 0.45992 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4492.892477 Number of estimated parameters = 2
Part 2: The variable sex is grand-mean centered and is a fixed effect.
Sigma_squared = 0.45992 Tau INTRCPT1,B0 0.86222 Tau (as correlations) INTRCPT1,B0 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.974 ---------------------------------------------------- The value of the likelihood function at iteration 3 = -2.246446E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.308103 0.094098 56.410 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843701 0.030963 27.248 1998 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.308103 0.093626 56.695 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843701 0.059144 14.265 1998 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.92856 0.86222 99 3788.54685 0.000 level-1, R 0.67817 0.45992 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4492.892477 Number of estimated parameters = 2
Part 3: The variable sex is included as a random effect, not centered.
Sigma_squared = 0.39244 Tau INTRCPT1,B0 0.94027 -0.14100 SEX,B1 -0.14100 0.27252 Tau (as correlations) INTRCPT1,B0 1.000 -0.279 SEX,B1 -0.279 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.959 SEX, B1 0.766 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.168157E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 4.890086 0.099016 49.387 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843106 0.059634 14.138 99 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 4.890086 0.098519 49.636 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843106 0.059335 14.209 99 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.96968 0.94027 99 2416.40514 0.000 SEX slope, U1 0.52204 0.27252 99 426.17652 0.000 level-1, R 0.62645 0.39244 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4336.314651 Number of estimated parameters = 4
Part 4: The variable sex is included as a random effect and is also grand-mean centered.
Sigma_squared = 0.39244 Tau INTRCPT1,B0 0.86757 -0.00829 SEX,B1 -0.00829 0.27253 Tau (as correlations) INTRCPT1,B0 1.000 -0.017 SEX,B1 -0.017 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.976 SEX, B1 0.766 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.168157E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.300679 0.094243 56.245 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843106 0.059636 14.138 99 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.300679 0.093770 56.529 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843106 0.059335 14.209 99 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.93143 0.86757 99 4277.32851 0.000 SEX slope, U1 0.52204 0.27253 99 426.17686 0.000 level-1, R 0.62645 0.39244 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4336.314638 Number of estimated parameters = 4
Table 4.2 on page 60.
Part 1: No interaction, no centering.
Sigma_squared = 0.39248 Tau INTRCPT1,B0 0.41155 0.02093 SEX,B1 0.02093 0.27329 Tau (as correlations) INTRCPT1,B0 1.000 0.062 SEX,B1 0.062 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.911 SEX, B1 0.767 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.137029E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.339816 0.160775 20.773 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843146 0.059689 14.126 99 0.000 For TEXP slope, B2 INTRCPT2, G20 0.108363 0.010215 10.609 1997 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.339816 0.165505 20.180 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843146 0.059388 14.197 99 0.000 For TEXP slope, B2 INTRCPT2, G20 0.108363 0.011382 9.521 1997 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.64152 0.41155 99 1125.84022 0.000 SEX slope, U1 0.52277 0.27329 99 426.12953 0.000 level-1, R 0.62648 0.39248 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4274.057054 Number of estimated parameters = 4
Part 2: With interaction, but no centering.
Sigma_squared = 0.39241 Tau INTRCPT1,B0 0.41198 0.02342 SEX,B1 0.02342 0.22641 Tau (as correlations) INTRCPT1,B0 1.000 0.077 SEX,B1 0.077 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.911 SEX, B1 0.731 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.134216E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.313521 0.161014 20.579 98 0.000 MTEXP, G01 0.110235 0.010232 10.774 98 0.000 For SEX slope, B1 INTRCPT2, G10 1.329594 0.133051 9.993 98 0.000 MTEXP, G11 -0.034035 0.008457 -4.024 98 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.313521 0.167064 19.834 98 0.000 MTEXP, G01 0.110235 0.011466 9.614 98 0.000 For SEX slope, B1 INTRCPT2, G10 1.329594 0.108340 12.272 98 0.000 MTEXP, G11 -0.034035 0.007293 -4.667 98 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.64186 0.41198 98 1126.47092 0.000 SEX slope, U1 0.47583 0.22641 98 367.94122 0.000 level-1, R 0.62643 0.39241 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4268.431480 Number of estimated parameters = 4
Part 3: Centering, but no interaction.
Sigma_squared = 0.39248 Tau INTRCPT1,B0 0.49674 0.15400 SEX,B1 0.15400 0.27331 Tau (as correlations) INTRCPT1,B0 1.000 0.418 SEX,B1 0.418 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.960 SEX, B1 0.767 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.137029E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.296010 0.071925 73.633 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843146 0.059693 14.125 99 0.000 For TEXP slope, B2 INTRCPT2, G20 0.108358 0.010215 10.608 1997 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.296010 0.071189 74.394 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843146 0.059388 14.197 99 0.000 For TEXP slope, B2 INTRCPT2, G20 0.108358 0.011382 9.520 1997 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.70480 0.49674 99 2433.70809 0.000 SEX slope, U1 0.52279 0.27331 99 426.13103 0.000 level-1, R 0.62648 0.39248 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4274.057036 Number of estimated parameters = 4
Part 4: Centering and with interaction.
Sigma_squared = 0.39241 Tau INTRCPT1,B0 0.48850 0.13369 SEX,B1 0.13369 0.22643 Tau (as correlations) INTRCPT1,B0 1.000 0.402 SEX,B1 0.402 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.959 SEX, B1 0.731 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.134216E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.300373 0.071345 74.293 98 0.000 MTEXP, G01 0.093660 0.010851 8.631 98 0.000 For SEX slope, B1 INTRCPT2, G10 0.842895 0.055619 15.155 98 0.000 MTEXP, G11 -0.034035 0.008458 -4.024 98 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.300373 0.070631 75.043 98 0.000 MTEXP, G01 0.093660 0.011275 8.307 98 0.000 For SEX slope, B1 INTRCPT2, G10 0.842895 0.055066 15.307 98 0.000 MTEXP, G11 -0.034035 0.007293 -4.667 98 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.69892 0.48850 98 2394.46566 0.000 SEX slope, U1 0.47585 0.22643 98 367.94224 0.000 level-1, R 0.62643 0.39241 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4268.431481 Number of estimated parameters = 4
Figure 4.3 on page 61.
Use the model from Part 2 of Table 4.2, click on Graph Equations from File Menu and choose as follows. You can also add x-label and y-label and title for the graph by clicking the Range/Titles/Color option.
Table 4.3 on page 63.
Part 1: Intercept only
Sigma_squared = 0.63868 Tau INTRCPT1,B0 0.87981 Tau (as correlations) INTRCPT1,B0 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.965 ---------------------------------------------------- The value of the likelihood function at iteration 2 = -2.556874E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.307603 0.095504 55.575 99 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 5.307603 0.095023 55.856 99 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.93798 0.87981 99 2803.92595 0.000 level-1, R 0.79917 0.63868 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 5113.748909 Number of estimated parameters = 2
Part 2: The variable sex is included as a fixed effect.
Sigma_squared = 0.45992 Tau INTRCPT1,B0 0.86222 Tau (as correlations) INTRCPT1,B0 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.974 ---------------------------------------------------- The value of the likelihood function at iteration 3 = -2.246446E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 4.897221 0.095295 51.390 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843701 0.030963 27.248 1998 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 4.897221 0.098254 49.843 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843701 0.059144 14.265 1998 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.92856 0.86222 99 3788.54686 0.000 level-1, R 0.67817 0.45992 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4492.892477 Number of estimated parameters = 2
Part 3: The variable texp is also included.
Sigma_squared = 0.45992 Tau INTRCPT1,B0 0.48596 Tau (as correlations) INTRCPT1,B0 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.954 ---------------------------------------------------- The value of the likelihood function at iteration 4 = -2.221260E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.560682 0.171477 20.765 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.844669 0.030951 27.291 1997 0.000 For TEXP slope, B2 INTRCPT2, G20 0.093445 0.010854 8.609 1997 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.560682 0.163292 21.806 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.844669 0.059140 14.283 1997 0.000 For TEXP slope, B2 INTRCPT2, G20 0.093445 0.011187 8.353 1997 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.69711 0.48596 99 2156.96630 0.000 level-1, R 0.67818 0.45992 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4442.520460 Number of estimated parameters = 2
Part 4: The variable sex is included as a random effect.
Sigma_squared = 0.39248 Tau INTRCPT1,B0 0.41155 0.02093 SEX,B1 0.02093 0.27329 Tau (as correlations) INTRCPT1,B0 1.000 0.062 SEX,B1 0.062 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.911 SEX, B1 0.767 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.137029E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.339816 0.160775 20.773 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843146 0.059689 14.126 99 0.000 For TEXP slope, B2 INTRCPT2, G20 0.108363 0.010215 10.609 1997 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.339816 0.165505 20.180 99 0.000 For SEX slope, B1 INTRCPT2, G10 0.843146 0.059388 14.197 99 0.000 For TEXP slope, B2 INTRCPT2, G20 0.108363 0.011382 9.521 1997 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.64152 0.41155 99 1125.84022 0.000 SEX slope, U1 0.52277 0.27329 99 426.12953 0.000 level-1, R 0.62648 0.39248 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4274.057054 Number of estimated parameters = 4
Part 5: Interaction of sex and texp is included.
Sigma_squared = 0.39242 Tau INTRCPT1,B0 0.41197 0.02346 SEX,B1 0.02346 0.22634 Tau (as correlations) INTRCPT1,B0 1.000 0.077 SEX,B1 0.077 1.000 ---------------------------------------------------- Random level-1 coefficient Reliability estimate ---------------------------------------------------- INTRCPT1, B0 0.911 SEX, B1 0.731 ---------------------------------------------------- The value of the likelihood function at iteration 6 = -2.134216E+003 Final estimation of fixed effects: ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.313525 0.161010 20.580 99 0.000 For SEX slope, B1 INTRCPT2, G10 1.329591 0.133020 9.995 98 0.000 MTEXP, G11 -0.034035 0.008455 -4.025 98 0.000 For TEXP slope, B2 INTRCPT2, G20 0.110235 0.010232 10.774 1996 0.000 ---------------------------------------------------------------------------- Final estimation of fixed effects (with robust standard errors) ---------------------------------------------------------------------------- Standard Approx. Fixed Effect Coefficient Error T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2, G00 3.313525 0.167065 19.834 99 0.000 For SEX slope, B1 INTRCPT2, G10 1.329591 0.108340 12.272 98 0.000 MTEXP, G11 -0.034035 0.007293 -4.667 98 0.000 For TEXP slope, B2 INTRCPT2, G20 0.110235 0.011466 9.614 1996 0.000 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random Effect Standard Variance df Chi-square P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 0.64185 0.41197 99 1126.46051 0.000 SEX slope, U1 0.47575 0.22634 98 367.93782 0.000 level-1, R 0.62643 0.39242 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 4268.431491 Number of estimated parameters = 4
Table 4.4 can be produced manually based on the equations provided in this section. We omit the calculation here.