So for example : the Random model predicts that on average females have a higher wellbeing of 96.2% compared to men holding all other variables constant ?
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xtreg wellbeing lnincome gender children1 i.economicactivity i.education t if balanced==1, vce(cluster pidp ) Random-effects GLS regression Number of obs = 80,616 Group variable: pidp Number of groups = 10,077 R-squared: Obs per group: Within = 0.0037 min = 8 Between = 0.0798 avg = 8.0 Overall = 0.0433 max = 8 Wald chi2(10) = 639.88 corr(u_i, X) = 0 (assumed) Prob > chi2 = 0.0000 (Std. err. adjusted for 10,077 clusters in pidp) ----------------------------------------------------------------------------------------------- | Robust wellbeing | Coefficient std. err. z P>|z| [95% conf. interval] ------------------------------+---------------------------------------------------------------- lnincome | .0354959 .0287192 1.24 0.216 -.0207927 .0917845 gender | .9620263 .074427 12.93 0.000 .816152 1.107901 children1 | .0148389 .069374 0.21 0.831 -.1211316 .1508095 | economicactivity | unemployed | -1.777649 .1698494 -10.47 0.000 -2.110548 -1.444751 retired | .6889726 .0640266 10.76 0.000 .5634828 .8144625 students | -.2966172 .2671824 -1.11 0.267 -.8202851 .2270507 other | -1.43992 .1194814 -12.05 0.000 -1.674099 -1.20574 | education | Alevel or GCSE or Other qual | -.1517329 .0742707 -2.04 0.041 -.2973008 -.0061651 No qual | -.3851673 .1486346 -2.59 0.010 -.6764858 -.0938488 | t | -.0453144 .0071014 -6.38 0.000 -.0592329 -.0313958 _cons | 24.7853 .2222687 111.51 0.000 24.34966 25.22094 ------------------------------+---------------------------------------------------------------- sigma_u | 3.3699175 sigma_e | 3.6862565 rho | .45525841 (fraction of variance due to u_i) ----------------------------------------------------------------------------------------------- .
Breusch and Pagan Lagrangian multiplier test for random effects wellbeing[pidp,t] = Xb + u[pidp] + e[pidp,t] Estimated results: | Var SD = sqrt(Var) ---------+----------------------------- wellbeing | 26.45754 5.14369 e | 13.58849 3.686256 u | 11.35634 3.369918 Test: Var(u) = 0 chibar2(01) = 57994.23 Prob > chibar2 = 0.0000
xtreg wellbeing lnincome gender children1 i.economicactivity i.education t if balanced==1 & gender==1, fe vce(cluster pidp )
Breusch and Pagan Lagrangian multiplier test for random effects wellbeing[pidp,t] = Xb + u[pidp] + e[pidp,t] Estimated results: | Var SD = sqrt(Var) ---------+----------------------------- wellbeing | 26.45754 5.14369 e | 13.58849 3.686256 u | 11.35634 3.369918 Test: Var(u) = 0 chibar2(01) = 57994.23 Prob > chibar2 = 0.0000
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