for var trstprl trstlgl trstplc trstplt trstep: reg X trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty

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1 for var trstprl trstlgl trstplc trstplt trstep: reg X trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty -> reg trstprl trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty Source SS df MS Number of obs = F( 8, 22522) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trstprl Coef. Std. Err. t P> t [95% Conf. Interval] trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons > reg trstlgl trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty Source SS df MS Number of obs = F( 8, 22554) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trstlgl Coef. Std. Err. t P> t [95% Conf. Interval] trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons

2 -> reg trstplc trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty Source SS df MS Number of obs = F( 8, 22795) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trstplc Coef. Std. Err. t P> t [95% Conf. Interval] trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons

3 -> reg trstplt trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty Source SS df MS Number of obs = F( 8, 22694) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trstplt Coef. Std. Err. t P> t [95% Conf. Interval] trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons

4 -> reg trstep trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty Source SS df MS Number of obs = F( 8, 19746) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trstep Coef. Std. Err. t P> t [95% Conf. Interval] trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons

5 . sureg (trstprl trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty) (trstlgl trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty) (trstplc trust10 stfeco yrbrn hinctnt e > dulvl pltcare polint wrkprty) (trstplt trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty) (trstep trust10 stfeco yrbrn hinctnt edulvl pltcare polint wrkprty) Seemingly unrelated regression Equation Obs Parms RMSE "R-sq" chi2 P trstprl trstlgl trstplc trstplt trstep Coef. Std. Err. z P> z [95% Conf. Interval] trstprl trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons trstlgl trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons trstplc trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons

6 trstplt trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons trstep trust stfeco yrbrn hinctnt edulvl pltcare polintr wrkprty _cons

7 reg corrupt2003 Trust GINI gdppc2000pwt wbstable Source SS df MS Number of obs = F( 4, 53) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = corrupt2003 Coef. Std. Err. t P> t [95% Conf. Interval] Trust GINI gdppc2000pwt wbstable _cons reg corrupt2003 Trust GINI gdppc2000pwt wbstable,cluster(eastbloc) Regression with robust standard errors Number of obs = 58 F( 0, 1) =. Prob > F =. R-squared = Number of clusters (eastbloc) = 2 Root MSE = Robust corrupt2003 Coef. Std. Err. t P> t [95% Conf. Interval] Trust GINI gdppc2000pwt wbstable _cons

8 xtreg corrupt2003 Trust GINI gdppc2000pwt wbstable,i(eastbloc) re Random-effects GLS regression Number of obs = 58 Group variable (i): eastbloc Number of groups = 2 R-sq: within = Obs per group: min = 15 between = avg = 29.0 overall = max = 43 Random effects u_i ~ Gaussian Wald chi2(4) = corr(u_i, X) = 0 (assumed) Prob > chi2 = corrupt2003 Coef. Std. Err. z P> z [95% Conf. Interval] Trust GINI gdppc2000pwt wbstable _cons sigma_u 0 sigma_e rho 0 (fraction of variance due to u_i) xi: reg corrupt2003 Trust GINI gdppc2000pwt wbstable i.eastbloc i.eastbloc _Ieastbloc_0-1 (naturally coded; _Ieastbloc_0 omitted) Source SS df MS Number of obs = F( 5, 52) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = corrupt2003 Coef. Std. Err. t P> t [95% Conf. Interval] Trust GINI gdppc2000pwt wbstable _Ieastbloc_ _cons

9 reg trust10 trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Source SS df MS Number of obs = F( 9, 22426) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trust10 Coef. Std. Err. t P> t [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons diest,fb(6.3f) fse(6.3f) trust10 most people can be trusted or you can't be too careful Coef. Std. Err. t P> t trstprl trust in country's parliament stflife how satisfied with life as a whole stfeco how satisfied with present state of economy in country happy how happy are you sclact take part in social activities compared to others of same age yrbrn year of birth hinctnt household's total net income imgfrnd any immigrant friends edulvl highest level of education _cons

10 . reg trust10 trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl,robust Regression with robust standard errors Number of obs = F( 9, 22426) = Prob > F = R-squared = Root MSE = Robust trust10 Coef. Std. Err. t P> t [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons

11 reg trust10 trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl,cluster(country) Regression with robust standard errors Number of obs = F( 9, 14) = Prob > F = R-squared = Number of clusters (country) = 15 Root MSE = Robust trust10 Coef. Std. Err. t P> t [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons

12 . xi: reg trust10 trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl i.country i.country _Icountry_1-15 (naturally coded; _Icountry_1 omitted) Source SS df MS Number of obs = F( 23, 22412) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trust10 Coef. Std. Err. t P> t [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _Icountry_ _cons tabl country country (country) code freq Switzerland Czech Estonia Finland Britain Greece Hungary Ireland Israel Netherlands Norway Poland Portugal Sweden Slovenia Total 29516

13 xtreg trust10 trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl, i(country) re Random-effects GLS regression Number of obs = Group variable (i): country Number of groups = 15 R-sq: within = Obs per group: min = 874 between = avg = overall = max = 1985 Random effects u_i ~ Gaussian Wald chi2(9) = corr(u_i, X) = 0 (assumed) Prob > chi2 = trust10 Coef. Std. Err. z P> z [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons sigma_u sigma_e rho (fraction of variance due to u_i) R-sq: within R squared within groups (countries) between: R squared between groups (countries) sigma_u : variance of error terms within groups sigma_e: variance of error terms across groups

14 reg trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Source SS df MS Number of obs = F( 9, 22426) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = trust Coef. Std. Err. t P> t [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons reg trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl,cluster(country) Regression with robust standard errors Number of obs = F( 9, 14) = Prob > F = R-squared = Number of clusters (country) = 15 Root MSE = Robust trust Coef. Std. Err. t P> t [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons

15 . predict trustregpred (option xb assumed; fitted values) (7038 missing values generated). sum trustregpred,det Fitted values Percentiles Smallest 1% % % Obs % Sum of Wgt % Mean Largest Std. Dev % % Variance % Skewness % Kurtosis sum trustregpred if (trustregpred > 1 trustregpred < 0) & trustregpred ~=. Variable Obs Mean Std. Dev. Min Max trustregpred

16 for var trstprl stflife stfeco happy sclact hinctnt imgfrnd edulvl: zz X trust -> zz trstprl trust trust in country's parliament Variable Obs Mean Std. Dev. Min Max min max diff > zz stflife trust how satisfied with life as a whole Variable Obs Mean Std. Dev. Min Max min max diff > zz stfeco trust how satisfied with present state of economy in country Variable Obs Mean Std. Dev. Min Max min max diff > zz happy trust how happy are you Variable Obs Mean Std. Dev. Min Max min max diff > zz sclact trust take part in social activities compared to others of same age Variable Obs Mean Std. Dev. Min Max min max diff > zz hinctnt trust household's total net income, all sources Variable Obs Mean Std. Dev. Min Max min max diff

17 -> zz imgfrnd trust any immigrant friends Variable Obs Mean Std. Dev. Min Max min max diff > zz edulvl trust highest level of education Variable Obs Mean Std. Dev. Min Max min max diff

18 . sum yrbrn,det year of birth Percentiles Smallest 1% % % Obs % Sum of Wgt % 1957 Mean Largest Std. Dev % % Variance % Skewness % Kurtosis z yrbrn 1925 trust 1984 Variable Obs Mean Std. Dev. Min Max min max diff

19 pf trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Probit estimates Number of obs = LR chi2(9) = Prob > chi2 = Log likelihood = Pseudo R2 = trust Coef. Std. Err. z P> z [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons Goodness of fit measures for probit McKelvey-Zavoina R Square: Proportion Predicted Correctly (Model): Mean of Dependent Variable: Proportion Predicted Correctly (Null): Proportional Reduction in Error: diest,fb(6.3f) fse(6.3f) trust trust dummy Coef. Std. Err. z P> z trstprl trust in country's parliament stflife how satisfied with life stfeco how satisfied with present state of economy in country happy how happy are you sclact take part in social activities compared to others of same age yrbrn year of birth hinctnt household's total net income imgfrnd any immigrant friends edulvl highest level of education _cons

20 . for var trstprl stflife stfeco happy sclact hinctnt imgfrnd edulvl: zz X trust -> zz trstprl trust trust in country's parliament Variable Obs Mean Std. Dev. Min Max min max diff > zz stflife trust how satisfied with life as a whole Variable Obs Mean Std. Dev. Min Max min max diff > zz stfeco trust how satisfied with present state of economy in country Variable Obs Mean Std. Dev. Min Max min max diff > zz happy trust how happy are you Variable Obs Mean Std. Dev. Min Max min max diff > zz sclact trust take part in social activities compared to others of same age Variable Obs Mean Std. Dev. Min Max min max diff > zz hinctnt trust household's total net income, all sources Variable Obs Mean Std. Dev. Min Max min max diff

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22 -> zz imgfrnd trust any immigrant friends Variable Obs Mean Std. Dev. Min Max min max diff > zz edulvl trust highest level of education Variable Obs Mean Std. Dev. Min Max min max diff z yrbrn 1925 trust 1984 Variable Obs Mean Std. Dev. Min Max min max diff

23 prchange,help probit: Changes in Predicted Probabilities for trust min->max 0->1 -+1/2 -+sd/2 MargEfct trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Pr(y x) trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl x= sd(x)= Pr(y x): probability of observing each y for specified x values Avg Chg : average of absolute value of the change across categories Min->Max: change in predicted probability as x changes from its minimum to its maximum 0->1: change in predicted probability as x changes from 0 to 1 -+1/2: change in predicted probability as x changes from 1/2 unit below base value to 1/2 unit above -+sd/2: change in predicted probability as x changes from 1/2 standard dev below base to 1/2 standard dev above MargEfct: the partial derivative of the predicted probability/rate with respect to a given independent variable

24 . prchange,fromto probit: Changes in Predicted Probabilities for trust from: to: dif: from: to: dif: from: to: dif: from: to: dif: x=min x=max min->max x=0 x=1 0->1 x-1/2 x+1/2 -+1/2 x-1/2sd x+1/2sd -+sd/2 MargEfct trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Pr(y x) trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl x= sd(x)=

25 prchange,x(trstprl=1 stflife=1) probit: Changes in Predicted Probabilities for trust min->max 0->1 -+1/2 -+sd/2 MargEfct trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Pr(y x) trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl x= sd(x)=

26 prtab sclact imgfrnd probit: Predicted probabilities of positive outcome for trust take part in social activities compared to others of same any immigrant friends age yes, several yes, a few no, none at all much less than most less than most about the same more than most much more than most trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl x=

27 estsimp probit trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl,nolog dropsims Probit estimates Number of obs = LR chi2(9) = Prob > chi2 = Log likelihood = Pseudo R2 = trust Coef. Std. Err. z P> z [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons Simulating main parameters. Please wait... % of simulations completed: 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Number of simulations : 1000 Names of new variables : b1 b2 b3 b4 b5 b6 b7 b8 b9 b10

28 . setx trstprl min (stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1) setx trstprl max (stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1) setx trstprl 5 (stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1) setx trstprl 5 (stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1)

29 . setx trstprl mean stflife min (stfeco happy sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1) setx trstprl max stflife min (stfeco happy sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1)

30 setx trstprl mean (stflife stfeco happy) min (sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1) setx trstprl mean (stflife stfeco happy) max (sclact yrbrn hinctnt imgfrnd edulvl ) mean. simqi Quantity of Interest Mean Std. Err. [95% Conf. Interval] Pr(trust=0) Pr(trust=1)

31 pf trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl Probit estimates Number of obs = LR chi2(9) = Prob > chi2 = Log likelihood = Pseudo R2 = trust Coef. Std. Err. z P> z [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons Goodness of fit measures for probit McKelvey-Zavoina R Square: Proportion Predicted Correctly (Model): Mean of Dependent Variable: Proportion Predicted Correctly (Null): Proportional Reduction in Error: probit trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl,robust Iteration 0: log pseudolikelihood = Iteration 1: log pseudolikelihood = Iteration 2: log pseudolikelihood = Iteration 3: log pseudolikelihood = Probit estimates Number of obs = Wald chi2(9) = Prob > chi2 = Log pseudolikelihood = Pseudo R2 = Robust trust Coef. Std. Err. z P> z [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons

32 . probit trust trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl,cluster(country) Probit estimates Number of obs = Wald chi2(9) = Prob > chi2 = Log pseudolikelihood = Pseudo R2 = (standard errors adjusted for clustering on country) Robust trust Coef. Std. Err. z P> z [95% Conf. Interval] trstprl stflife stfeco happy sclact yrbrn hinctnt imgfrnd edulvl _cons

33 predict trustprobitpred (option p assumed; Pr(trust)) (7038 missing values generated). sum trustprobitres Variable Obs Mean Std. Dev. Min Max trustprobi~s predict trustlogitpred (option p assumed; Pr(trust)) (7038 missing values generated). sum trustlogitres Variable Obs Mean Std. Dev. Min Max trustlogit~s corr trustregpred trustprobitpred trustlogitpred (obs=22478) trustr~d trustp~d trustl~d trustregpred trustprobi~d trustlogit~d

34 sort trustregpred. clist trustregpred trustlogitpred trustprobitpred if (trustregpred > 1 trustregpred < 0) & trustregpred ~=. trustre~d trustlo~d trustpr~d

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