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Used for the report of Beyond GDP: Measuring well-being and progress of Nations.
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R-commander Statistical Analysis
1.
Call: lm(formula = GDP.per.capita
~ Air.pollution + Assault.rate + Consultation.on.rule.making + Educational.attain + Employment.rate + H.n.a.d + H.n.f.wealth + Housing.expenditure + Job.security + Life.satisfaction + Quality.of.support.network + Self.reported.health + Time.devoted.to.leisure.and.personal.care + Voter.turnout, data = Dataset) Residuals: Min 1Q Median 3Q Max -11151.4 -4443.9 -640.9 2336.2 21977.1 Coefficients: Estimate Std. Error t value (Intercept) 3.520e+04 7.545e+04 0.467 Air.pollution -1.690e+02 2.292e+02 -0.737 Assault.rate 2.887e+02 1.770e+03 0.163 Consultation.on.rule.making -2.900e+02 7.631e+02 -0.380 Educational.attain 1.896e+01 1.441e+02 0.132 Employment.rate -8.528e+01 3.823e+02 -0.223 H.n.a.d 1.781e+00 6.548e-01 2.721 H.n.f.wealth -7.180e-02 9.835e-02 -0.730 Housing.expenditure -5.926e+01 8.330e+02 -0.071 Job.security -8.886e+02 6.648e+02 -1.337 Life.satisfaction 5.140e+03 6.086e+03 0.844 Quality.of.support.network -1.624e+02 9.504e+02 -0.171 Self.reported.health -1.355e+02 1.810e+02 -0.749 Time.devoted.to.leisure.and.personal.care -2.512e+03 3.559e+03 -0.706 Voter.turnout 1.251e+02 1.608e+02 0.778 Pr(>|t|) (Intercept) 0.646 Air.pollution 0.470 Assault.rate 0.872 Consultation.on.rule.making 0.708 Educational.attain 0.897 Employment.rate 0.826 H.n.a.d 0.014 * H.n.f.wealth 0.475 Housing.expenditure 0.944 Job.security 0.198 Life.satisfaction 0.410 Quality.of.support.network 0.866 Self.reported.health 0.464 Time.devoted.to.leisure.and.personal.care 0.489 Voter.turnout 0.447 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 8084 on 18 degrees of freedom Multiple R-squared: 0.814, Adjusted R-squared: 0.6693 F-statistic: 5.625 on 14 and 18 DF, p-value: 0.0004478 --------------------------------------------------------------------- Call: lm(formula = Life.satisfaction ~ Air.pollution + Assault.rate +
2.
Consultation.on.rule.making + Educational.attain
+ Employment.rate + H.n.a.d + H.n.f.wealth + Housing.expenditure + Job.security + Quality.of.support.network + Self.reported.health + Time.devoted.to.leisure.and.personal.care + Voter.turnout, data = Dataset) Residuals: Min 1Q Median 3Q Max -0.43165 -0.13297 -0.02331 0.13202 0.56014 Coefficients: Estimate Std. Error t value (Intercept) -8.471e+00 2.076e+00 -4.080 Air.pollution 1.783e-02 7.609e-03 2.343 Assault.rate 2.255e-01 4.209e-02 5.359 Consultation.on.rule.making 1.157e-02 2.864e-02 0.404 Educational.attain 1.084e-02 4.831e-03 2.244 Employment.rate 3.534e-02 1.191e-02 2.968 H.n.a.d 6.242e-05 2.010e-05 3.105 H.n.f.wealth -6.330e-06 3.411e-06 -1.856 Housing.expenditure 5.594e-02 2.866e-02 1.952 Job.security 5.604e-02 2.151e-02 2.605 Quality.of.support.network 1.041e-01 2.671e-02 3.895 Self.reported.health 1.736e-02 5.538e-03 3.134 Time.devoted.to.leisure.and.personal.care -2.193e-01 1.243e-01 -1.764 Voter.turnout 3.852e-03 5.997e-03 0.642 Pr(>|t|) (Intercept) 0.000638 *** Air.pollution 0.030174 * Assault.rate 3.59e-05 *** Consultation.on.rule.making 0.690703 Educational.attain 0.036927 * Employment.rate 0.007910 ** H.n.a.d 0.005830 ** H.n.f.wealth 0.079037 . Housing.expenditure 0.065826 . Job.security 0.017394 * Quality.of.support.network 0.000974 *** Self.reported.health 0.005461 ** Time.devoted.to.leisure.and.personal.care 0.093797 . Voter.turnout 0.528357 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.3047 on 19 degrees of freedom Multiple R-squared: 0.9271,Adjusted R-squared: 0.8772 F-statistic: 18.58 on 13 and 19 DF, p-value: 4.333e-08 ------------------------------------------------------------ Call: lm(formula = HDI ~ Air.pollution + Assault.rate + Consultation.on.rule.making + Educational.attain + Employment.rate + H.n.a.d + H.n.f.wealth + Housing.expenditure + Job.security + Life.satisfaction + Quality.of.support.network + Self.reported.health + Time.devoted.to.leisure.and.personal.care + Voter.turnout, data = Dataset)
3.
Residuals: Min 1Q Median
3Q Max -0.022551 -0.008414 -0.002203 0.004788 0.031997 Coefficients: Estimate Std. Error t value (Intercept) 5.996e-01 1.614e-01 3.715 Air.pollution 2.031e-05 4.903e-04 0.041 Assault.rate -6.971e-03 3.786e-03 -1.841 Consultation.on.rule.making -1.542e-03 1.632e-03 -0.945 Educational.attain 2.965e-04 3.084e-04 0.962 Employment.rate 1.903e-03 8.178e-04 2.327 H.n.a.d 4.728e-07 1.401e-06 0.338 H.n.f.wealth 1.109e-07 2.104e-07 0.527 Housing.expenditure -2.705e-03 1.782e-03 -1.518 Job.security -1.509e-03 1.422e-03 -1.061 Life.satisfaction 7.942e-03 1.302e-02 0.610 Quality.of.support.network -1.069e-03 2.033e-03 -0.526 Self.reported.health 6.856e-04 3.872e-04 1.771 Time.devoted.to.leisure.and.personal.care 1.350e-02 7.613e-03 1.773 Voter.turnout 2.912e-04 3.441e-04 0.846 Pr(>|t|) (Intercept) 0.00158 ** Air.pollution 0.96742 Assault.rate 0.08209 . Consultation.on.rule.making 0.35737 Educational.attain 0.34903 Employment.rate 0.03183 * H.n.a.d 0.73961 H.n.f.wealth 0.60458 Housing.expenditure 0.14640 Job.security 0.30288 Life.satisfaction 0.54950 Quality.of.support.network 0.60563 Self.reported.health 0.09351 . Time.devoted.to.leisure.and.personal.care 0.09313 . Voter.turnout 0.40839 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.01729 on 18 degrees of freedom Multiple R-squared: 0.9122,Adjusted R-squared: 0.844 F-statistic: 13.36 on 14 and 18 DF, p-value: 9.451e-07 ------------------------------------------------------------------ Call: factanal(x = ~Air.pollution + Assault.rate + Consultation.on.rule.making + Educational.attain + Employment.rate + H.n.a.d + H.n.f.wealth + Housing.expenditure + Job.security + Life.satisfaction + Quality.of.support.network + Self.reported.health + Time.devoted.to.leisure.and.personal.care + Voter.turnout, factors = 4, data = Dataset, scores = "regression", rotation = "varimax") Uniquenesses: Air.pollution 0.620 Assault.rate 0.005
4.
Consultation.on.rule.making 0.751 Educational.attain 0.554 Employment.rate 0.332 H.n.a.d 0.005 H.n.f.wealth 0.458 Housing.expenditure 0.803 Job.security 0.368 Life.satisfaction 0.005 Quality.of.support.network 0.074 Self.reported.health 0.569 Time.devoted.to.leisure.and.personal.care 0.233 Voter.turnout 0.790 Loadings: Factor1 Factor2 Factor3
Factor4 Air.pollution -0.514 -0.109 -0.244 -0.210 Assault.rate -0.341 -0.912 -0.212 Consultation.on.rule.making 0.223 0.440 Educational.attain 0.428 0.241 0.453 Employment.rate 0.336 0.688 0.226 0.173 H.n.a.d 0.370 0.358 0.159 0.840 H.n.f.wealth 0.193 0.245 0.667 Housing.expenditure 0.433 Job.security -0.761 0.192 -0.118 Life.satisfaction 0.966 0.234 Quality.of.support.network 0.736 0.474 0.388 Self.reported.health 0.559 0.115 0.324 Time.devoted.to.l.and.pers.care 0.847 0.134 0.177 Voter.turnout -0.120 0.315 -0.116 0.289 Factor1 Factor2 Factor3 Factor4 SS loadings 2.713 2.411 1.746 1.565 Proportion Var 0.194 0.172 0.125 0.112 Cumulative Var 0.194 0.366 0.491 0.602 Test of the hypothesis that 4 factors are sufficient. The chi square statistic is 48.13 on 41 degrees of freedom. The p-value is 0.207
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