Additional Analyses Requested by Dr. Z.

## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^4 + 
##     Neighborhood02), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.037 -1.313 -0.517  1.781  5.178 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)
## (Intercept)               5.38455    0.58028    9.28  < 2e-16
## Age0                     -0.00148    0.01159   -0.13     0.90
## Sex1                      0.03457    0.87119    0.04     0.97
## Race1                    -0.30434    0.92975   -0.33     0.74
## PovStat1                 -0.57287    0.78153   -0.73     0.46
## Neighborhood02           -0.25945    0.04033   -6.43  1.5e-10
## Age0:Sex1                -0.00819    0.01815   -0.45     0.65
## Age0:Race1               -0.01245    0.01934   -0.64     0.52
## Age0:PovStat1             0.01433    0.01599    0.90     0.37
## Sex1:Race1                1.82982    1.52684    1.20     0.23
## Sex1:PovStat1            -0.20206    1.20609   -0.17     0.87
## Race1:PovStat1            0.05441    1.21388    0.04     0.96
## Age0:Sex1:Race1          -0.02311    0.03168   -0.73     0.47
## Age0:Sex1:PovStat1        0.01189    0.02477    0.48     0.63
## Age0:Race1:PovStat1       0.01264    0.02503    0.51     0.61
## Sex1:Race1:PovStat1      -1.47871    1.92998   -0.77     0.44
## Age0:Sex1:Race1:PovStat1  0.02151    0.03973    0.54     0.59
## 
## Residual standard error: 1.96 on 2124 degrees of freedom
## Multiple R-squared:  0.0535, Adjusted R-squared:  0.0464 
## F-statistic: 7.51 on 16 and 2124 DF,  p-value: <2e-16
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^3 + 
##     Neighborhood02), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.059 -1.270  0.458  1.530  5.134 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)
## (Intercept)          5.296107   0.556718    9.51  < 2e-16
## Age0                 0.000357   0.011083    0.03     0.97
## Sex1                 0.246487   0.778177    0.32     0.75
## Race1               -0.063830   0.816619   -0.08     0.94
## PovStat1            -0.405509   0.717674   -0.57     0.57
## Neighborhood02      -0.258930   0.040315   -6.42  1.6e-10
## Age0:Sex1           -0.012680   0.016141   -0.79     0.43
## Age0:Race1          -0.017549   0.016889   -1.04     0.30
## Age0:PovStat1        0.010841   0.014633    0.74     0.46
## Sex1:Race1           1.182726   0.949921    1.25     0.21
## Sex1:PovStat1       -0.601970   0.953274   -0.63     0.53
## Race1:PovStat1      -0.351862   0.953981   -0.37     0.71
## Age0:Sex1:Race1     -0.009435   0.019115   -0.49     0.62
## Age0:Sex1:PovStat1   0.020247   0.019361    1.05     0.30
## Age0:Race1:PovStat1  0.021180   0.019430    1.09     0.28
## Sex1:Race1:PovStat1 -0.452949   0.367431   -1.23     0.22
## 
## Residual standard error: 1.96 on 2125 degrees of freedom
## Multiple R-squared:  0.0534, Adjusted R-squared:  0.0467 
## F-statistic: 7.99 on 15 and 2125 DF,  p-value: <2e-16
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^2 + 
##     Neighborhood02), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.023 -1.956 -0.133  1.044  5.101 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     5.63029    0.45179   12.46  < 2e-16
## Age0           -0.00739    0.00873   -0.85   0.3971
## Sex1           -0.08103    0.46413   -0.17   0.8614
## Race1          -0.41035    0.46926   -0.87   0.3820
## PovStat1       -1.11253    0.47420   -2.35   0.0191
## Neighborhood02 -0.26028    0.04028   -6.46  1.3e-10
## Age0:Sex1      -0.00387    0.00932   -0.42   0.6781
## Age0:Race1     -0.00793    0.00939   -0.84   0.3983
## Age0:PovStat1   0.02710    0.00949    2.86   0.0043
## Sex1:Race1      0.44161    0.17710    2.49   0.0127
## Sex1:PovStat1   0.19912    0.17782    1.12   0.2629
## Race1:PovStat1  0.47779    0.18091    2.64   0.0083
## 
## Residual standard error: 1.96 on 2129 degrees of freedom
## Multiple R-squared:  0.0517, Adjusted R-squared:  0.0468 
## F-statistic: 10.6 on 11 and 2129 DF,  p-value: <2e-16
## 
## Call:
## lm(formula = MCLcountry ~ (PovStat * Age0 + Sex * Race + Race * 
##     PovStat + Neighborhood02 + Educ + Employment01 + acasiincomx01), 
##     data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.007 -1.802 -0.672  1.468  5.053 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     4.64669    0.48525    9.58  < 2e-16
## PovStat1       -1.30240    0.45444   -2.87  0.00420
## Age0           -0.00616    0.00715   -0.86  0.38902
## Sex1           -0.18246    0.10981   -1.66  0.09676
## Race1          -0.82263    0.15310   -5.37  8.6e-08
## Neighborhood02 -0.19038    0.04017   -4.74  2.3e-06
## Educ            0.09321    0.01528    6.10  1.2e-09
## Employment011   0.33461    0.09439    3.55  0.00040
## acasiincomx01  -0.30629    0.09064   -3.38  0.00074
## PovStat1:Age0   0.02571    0.00918    2.80  0.00513
## Sex1:Race1      0.43555    0.17042    2.56  0.01067
## PovStat1:Race1  0.42194    0.17678    2.39  0.01708
## 
## Residual standard error: 1.92 on 2129 degrees of freedom
## Multiple R-squared:  0.0932, Adjusted R-squared:  0.0885 
## F-statistic: 19.9 on 11 and 2129 DF,  p-value: <2e-16
## 
## Call:
## lm(formula = MCLcountry ~ ((PovStat + Age0)^2 + Sex + Race + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
##  -4.38  -1.95   0.02   1.19   5.18 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     4.45087    0.48351    9.21  < 2e-16
## PovStat1       -1.13048    0.44991   -2.51  0.01205
## Age0           -0.00601    0.00717   -0.84  0.40233
## Sex1            0.00380    0.08442    0.04  0.96413
## Race1          -0.37684    0.08640   -4.36  1.4e-05
## Neighborhood02 -0.19910    0.04013   -4.96  7.6e-07
## Educ            0.09562    0.01529    6.25  4.8e-10
## Employment011   0.34486    0.09456    3.65  0.00027
## acasiincomx01  -0.29539    0.09081   -3.25  0.00116
## PovStat1:Age0   0.02553    0.00920    2.77  0.00558
## 
## Residual standard error: 1.92 on 2131 degrees of freedom
## Multiple R-squared:  0.0875, Adjusted R-squared:  0.0837 
## F-statistic: 22.7 on 9 and 2131 DF,  p-value: <2e-16
## 
## Call:
## lm(formula = MCLcountry ~ ((Sex + Race)^2 + PovStat + Age0 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -4.576 -1.902 -0.057  1.574  5.135 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     3.80365    0.40075    9.49  < 2e-16
## Sex1           -0.18812    0.11007   -1.71  0.08758
## Race1          -0.57809    0.11275   -5.13  3.2e-07
## PovStat1        0.08618    0.09579    0.90  0.36843
## Age0            0.00903    0.00457    1.97  0.04854
## Neighborhood02 -0.19600    0.04012   -4.88  1.1e-06
## Educ            0.09549    0.01529    6.24  5.1e-10
## Employment011   0.34536    0.09456    3.65  0.00027
## acasiincomx01  -0.28694    0.09073   -3.16  0.00159
## Sex1:Race1      0.46633    0.17042    2.74  0.00626
## 
## Residual standard error: 1.92 on 2131 degrees of freedom
## Multiple R-squared:  0.0874, Adjusted R-squared:  0.0836 
## F-statistic: 22.7 on 9 and 2131 DF,  p-value: <2e-16
## 
## Call:
## lm(formula = MCLcountry ~ ((PovStat + Race)^2 + Sex + Age0 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -4.565 -1.653 -0.243  1.131  6.063 
## 
## Coefficients:
##                 Estimate Std. Error t value Pr(>|t|)
## (Intercept)     3.783253   0.400375    9.45  < 2e-16
## PovStat1       -0.081889   0.117046   -0.70  0.48423
## Race1          -0.657727   0.139271   -4.72  2.5e-06
## Sex1           -0.000958   0.084476   -0.01  0.99096
## Age0            0.009577   0.004574    2.09  0.03639
## Neighborhood02 -0.187780   0.040280   -4.66  3.3e-06
## Educ            0.093602   0.015321    6.11  1.2e-09
## Employment011   0.355351   0.094505    3.76  0.00017
## acasiincomx01  -0.293221   0.090815   -3.23  0.00126
## PovStat1:Race1  0.449851   0.176807    2.54  0.01102
## 
## Residual standard error: 1.92 on 2131 degrees of freedom
## Multiple R-squared:  0.087,  Adjusted R-squared:  0.0832 
## F-statistic: 22.6 on 9 and 2131 DF,  p-value: <2e-16

With CES

## 
## Call:
## lm(formula = MCLcountry ~ (PovStat * Age0 + Sex * Race + Race * 
##     PovStat + Neighborhood02 + Educ + Employment01 + acasiincomx01 + 
##     CES), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.100 -1.276  0.735  1.156  6.195 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     5.35266    0.47932   11.17  < 2e-16
## PovStat1       -1.21271    0.44416   -2.73  0.00638
## Age0           -0.00863    0.00700   -1.23  0.21738
## Sex1           -0.20274    0.10733   -1.89  0.05903
## Race1          -0.73605    0.14985   -4.91  9.7e-07
## Neighborhood02 -0.15014    0.03946   -3.80  0.00015
## Educ            0.07757    0.01501    5.17  2.6e-07
## Employment011   0.17389    0.09360    1.86  0.06335
## acasiincomx01  -0.21282    0.08906   -2.39  0.01695
## CES            -0.03876    0.00384  -10.08  < 2e-16
## PovStat1:Age0   0.02316    0.00897    2.58  0.00989
## Sex1:Race1      0.39438    0.16658    2.37  0.01800
## PovStat1:Race1  0.41357    0.17275    2.39  0.01675
## 
## Residual standard error: 1.87 on 2128 degrees of freedom
## Multiple R-squared:  0.134,  Adjusted R-squared:  0.13 
## F-statistic: 27.6 on 12 and 2128 DF,  p-value: <2e-16