All Effects with Different Models for Measurement Project

load(file='/Users/meganwilliams/Desktop/Research/HANDLS Data/MeasurementData.rdata')
library("effects", lib.loc="/Library/Frameworks/R.framework/Versions/3.0/Resources/library")
## Loading required package: colorspace
## 
## Attaching package: 'effects'
## 
## The following object is masked from 'package:car':
## 
##     Prestige
m.1.1 = lm(MCLcountry~(Educ + Employment01 + acasiincomx01 + Neighborhood02 + PovStat),MeasurementData)
m.1.2 = lm(MCLcountry~(Age0 + Sex + Race + PovStat + Educ + Employment01 + acasiincomx01 + Neighborhood02),MeasurementData)
m.1.3 = lm(MCLcountry~(Age0 + Sex + Race + PovStat + Educ + Employment01 + acasiincomx01 + Neighborhood02 + CES),MeasurementData)


m.4.1 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^4 + Neighborhood02),MeasurementData)
m.4.2 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^4 + Neighborhood02 + Educ + Employment01 + acasiincomx01),MeasurementData)
m.4.3 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^4 + Neighborhood02 + Educ + Employment01 + acasiincomx01 + CES),MeasurementData)

m.3.1 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^3 + Neighborhood02),MeasurementData)
m.3.2 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^3 + Neighborhood02 + Educ + Employment01 + acasiincomx01),MeasurementData)
m.3.3 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^3 + Neighborhood02 + Educ + Employment01 + acasiincomx01 + CES),MeasurementData)

m.2.1 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^2 + Neighborhood02),MeasurementData)
m.2.2 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^2 + Neighborhood02 + Educ + Employment01 + acasiincomx01),MeasurementData)
m.2.3 = lm(MCLcountry~((Age0 + Sex + Race + PovStat)^2 + Neighborhood02 + Educ + Employment01 + acasiincomx01 + CES),MeasurementData)

Model 1 (No Interactions)

Summary and All Effects for Model 1.1 (No Demographics)

## 
## Call:
## lm(formula = MCLcountry ~ (Educ + Employment01 + acasiincomx01 + 
##     Neighborhood02 + PovStat), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -4.327 -1.906 -0.549  1.777  5.414 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)      3.9549     0.3218   12.29  < 2e-16
## Educ             0.0949     0.0154    6.17  8.0e-10
## Employment011    0.3417     0.0938    3.64  0.00027
## acasiincomx01   -0.2250     0.0903   -2.49  0.01278
## Neighborhood02  -0.2061     0.0403   -5.12  3.4e-07
## PovStat1         0.0671     0.0954    0.70  0.48178
## 
## Residual standard error: 1.93 on 2135 degrees of freedom
## Multiple R-squared:  0.0741, Adjusted R-squared:  0.0719 
## F-statistic: 34.1 on 5 and 2135 DF,  p-value: <2e-16
##  model: MCLcountry ~ (Educ + Employment01 + acasiincomx01 + Neighborhood02 + 
##     PovStat)
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.650 4.124 4.599 5.074 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.408 4.012 4.488 4.834 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.891 4.236 4.710 5.314 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.169 4.511 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.036 4.397 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.302 4.625 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.481 4.368 4.256 4.143 4.031 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.358 4.286 4.138 3.951 3.756 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.604 4.450 4.374 4.336 4.306 
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.831 4.625 4.419 4.212 4.006 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.634 4.496 4.334 4.112 3.847 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 5.028 4.754 4.503 4.313 4.166 
## 
##  PovStat effect
## PovStat
##     0     1 
## 4.325 4.392 
## 
##  Lower 95 Percent Confidence Limits
## PovStat
##     0     1 
## 4.189 4.279 
## 
##  Upper 95 Percent Confidence Limits
## PovStat
##     0     1 
## 4.461 4.506

plot of chunk unnamed-chunk-1

Summary and All Effects for Model 1.2 (With Demographics)

summary(m.1.2)
## 
## Call:
## lm(formula = MCLcountry ~ (Age0 + Sex + Race + PovStat + Educ + 
##     Employment01 + acasiincomx01 + Neighborhood02), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
##  -4.49  -1.94  -0.83   1.71   5.22 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     3.69171    0.39927    9.25  < 2e-16
## Age0            0.00933    0.00458    2.04  0.04176
## Sex1            0.00515    0.08455    0.06  0.95142
## Race1          -0.37984    0.08653   -4.39  1.2e-05
## PovStat1        0.08918    0.09593    0.93  0.35268
## Educ            0.09583    0.01532    6.26  4.7e-10
## Employment011   0.35580    0.09463    3.76  0.00017
## acasiincomx01  -0.28431    0.09086   -3.13  0.00178
## Neighborhood02 -0.19655    0.04018   -4.89  1.1e-06
## 
## Residual standard error: 1.92 on 2132 degrees of freedom
## Multiple R-squared:  0.0842, Adjusted R-squared:  0.0808 
## F-statistic: 24.5 on 8 and 2132 DF,  p-value: <2e-16
e.1.2 = allEffects(m.1.2)
summary(e.1.2)
##  model: MCLcountry ~ (Age0 + Sex + Race + PovStat + Educ + Employment01 + 
##     acasiincomx01 + Neighborhood02)
## 
##  Age0 effect
## Age0
##    30    35    40    45    50    55    60 
## 4.198 4.244 4.291 4.338 4.384 4.431 4.477 
## 
##  Lower 95 Percent Confidence Limits
## Age0
##    30    35    40    45    50    55    60 
## 4.018 4.103 4.183 4.252 4.300 4.327 4.341 
## 
##  Upper 95 Percent Confidence Limits
## Age0
##    30    35    40    45    50    55    60 
## 4.378 4.386 4.399 4.423 4.468 4.534 4.613 
## 
##  Sex effect
## Sex
##     0     1 
## 4.362 4.367 
## 
##  Lower 95 Percent Confidence Limits
## Sex
##     0     1 
## 4.254 4.242 
## 
##  Upper 95 Percent Confidence Limits
## Sex
##     0     1 
## 4.470 4.492 
## 
##  Race effect
## Race
##     0     1 
## 4.523 4.143 
## 
##  Lower 95 Percent Confidence Limits
## Race
##     0     1 
## 4.415 4.015 
## 
##  Upper 95 Percent Confidence Limits
## Race
##     0     1 
## 4.631 4.271 
## 
##  PovStat effect
## PovStat
##     0     1 
## 4.312 4.402 
## 
##  Lower 95 Percent Confidence Limits
## PovStat
##     0     1 
## 4.176 4.288 
## 
##  Upper 95 Percent Confidence Limits
## PovStat
##     0     1 
## 4.449 4.515 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.643 4.122 4.601 5.080 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.403 4.011 4.491 4.842 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.883 4.234 4.712 5.319 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.161 4.517 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.027 4.403 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.295 4.631 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.512 4.369 4.227 4.085 3.943 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.388 4.288 4.109 3.892 3.667 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.635 4.451 4.346 4.278 4.219 
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.809 4.613 4.416 4.220 4.023 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.613 4.484 4.332 4.119 3.864 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 5.005 4.741 4.500 4.320 4.182
plot(e.1.2)

plot of chunk unnamed-chunk-2

Summary and All Effects for Model 1.3 (With Demographics and Depression)

summary(m.1.3)
## 
## Call:
## lm(formula = MCLcountry ~ (Age0 + Sex + Race + PovStat + Educ + 
##     Employment01 + acasiincomx01 + Neighborhood02 + CES), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -4.219 -1.402 -0.433  1.814  6.251 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     4.49656    0.39787   11.30  < 2e-16
## Age0            0.00525    0.00449    1.17  0.24242
## Sex1           -0.03299    0.08266   -0.40  0.68987
## Race1          -0.31470    0.08475   -3.71  0.00021
## PovStat1        0.05327    0.09376    0.57  0.57001
## Educ            0.07987    0.01504    5.31  1.2e-07
## Employment011   0.19068    0.09383    2.03  0.04226
## acasiincomx01  -0.19099    0.08922   -2.14  0.03240
## Neighborhood02 -0.15576    0.03945   -3.95  8.1e-05
## CES            -0.03933    0.00386  -10.20  < 2e-16
## 
## Residual standard error: 1.88 on 2131 degrees of freedom
## Multiple R-squared:  0.127,  Adjusted R-squared:  0.123 
## F-statistic: 34.4 on 9 and 2131 DF,  p-value: <2e-16
e.1.3 = allEffects(m.1.3)
summary(e.1.3)
##  model: MCLcountry ~ (Age0 + Sex + Race + PovStat + Educ + Employment01 + 
##     acasiincomx01 + Neighborhood02 + CES)
## 
##  Age0 effect
## Age0
##    30    35    40    45    50    55    60 
## 4.270 4.297 4.323 4.349 4.375 4.402 4.428 
## 
##  Lower 95 Percent Confidence Limits
## Age0
##    30    35    40    45    50    55    60 
## 4.094 4.158 4.217 4.266 4.294 4.300 4.295 
## 
##  Upper 95 Percent Confidence Limits
## Age0
##    30    35    40    45    50    55    60 
## 4.447 4.435 4.429 4.433 4.457 4.503 4.561 
## 
##  Sex effect
## Sex
##     0     1 
## 4.378 4.345 
## 
##  Lower 95 Percent Confidence Limits
## Sex
##     0     1 
## 4.273 4.223 
## 
##  Upper 95 Percent Confidence Limits
## Sex
##     0     1 
## 4.484 4.468 
## 
##  Race effect
## Race
##     0     1 
## 4.496 4.181 
## 
##  Lower 95 Percent Confidence Limits
## Race
##     0     1 
## 4.390 4.056 
## 
##  Upper 95 Percent Confidence Limits
## Race
##     0     1 
## 4.602 4.306 
## 
##  PovStat effect
## PovStat
##     0     1 
## 4.333 4.387 
## 
##  Lower 95 Percent Confidence Limits
## PovStat
##     0     1 
## 4.200 4.276 
## 
##  Upper 95 Percent Confidence Limits
## PovStat
##     0     1 
## 4.467 4.497 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.763 4.162 4.562 4.961 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.527 4.053 4.454 4.727 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.999 4.272 4.670 5.196 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.255 4.446 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.124 4.334 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.387 4.558 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.463 4.368 4.272 4.177 4.081 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.343 4.288 4.156 3.987 3.810 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.584 4.447 4.388 4.366 4.353 
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.717 4.561 4.405 4.250 4.094 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.524 4.435 4.323 4.152 3.938 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.909 4.687 4.488 4.348 4.250 
## 
##  CES effect
## CES
##     0    10    20    30    40    50 
## 4.944 4.551 4.158 3.765 3.371 2.978 
## 
##  Lower 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 4.807 4.464 4.069 3.625 3.165 2.700 
## 
##  Upper 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 5.082 4.639 4.247 3.905 3.578 3.256
plot(e.1.3)

plot of chunk unnamed-chunk-3

Model 2 (Two-Way Interactions)

Summary and All Effects for Model 2.1 (No Demographics)

## 
## 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
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^2 + Neighborhood02)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.924 4.664 4.404 4.144 3.883 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.725 4.532 4.316 4.041 3.723 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 5.123 4.796 4.491 4.246 4.043 
## 
##  Age0*Sex effect
##     Sex
## Age0     0     1
##   30 4.230 4.333
##   35 4.255 4.339
##   40 4.281 4.345
##   45 4.306 4.351
##   50 4.331 4.357
##   55 4.357 4.363
##   60 4.382 4.369
## 
##  Lower 95 Percent Confidence Limits
##     Sex
## Age0     0     1
##   30 3.991 4.053
##   35 4.067 4.118
##   40 4.136 4.176
##   45 4.190 4.217
##   50 4.218 4.225
##   55 4.217 4.201
##   60 4.201 4.157
## 
##  Upper 95 Percent Confidence Limits
##     Sex
## Age0     0     1
##   30 4.469 4.614
##   35 4.444 4.561
##   40 4.426 4.515
##   45 4.422 4.486
##   50 4.445 4.489
##   55 4.496 4.526
##   60 4.563 4.581
## 
##  Age0*Race effect
##     Race
## Age0     0     1
##   30 4.350 4.169
##   35 4.384 4.163
##   40 4.417 4.157
##   45 4.451 4.151
##   50 4.484 4.145
##   55 4.518 4.139
##   60 4.552 4.133
## 
##  Lower 95 Percent Confidence Limits
##     Race
## Age0     0     1
##   30 4.107 3.891
##   35 4.192 3.943
##   40 4.271 3.987
##   45 4.335 4.014
##   50 4.372 4.009
##   55 4.380 3.973
##   60 4.371 3.917
## 
##  Upper 95 Percent Confidence Limits
##     Race
## Age0     0     1
##   30 4.593 4.447
##   35 4.575 4.383
##   40 4.564 4.326
##   45 4.567 4.288
##   50 4.597 4.280
##   55 4.656 4.305
##   60 4.732 4.348
## 
##  Age0*PovStat effect
##     PovStat
## Age0     0     1
##   30 4.283 4.268
##   35 4.221 4.342
##   40 4.159 4.416
##   45 4.097 4.489
##   50 4.036 4.563
##   55 3.974 4.637
##   60 3.912 4.710
## 
##  Lower 95 Percent Confidence Limits
##     PovStat
## Age0     0     1
##   30 4.002 4.026
##   35 4.001 4.150
##   40 3.991 4.268
##   45 3.961 4.372
##   50 3.897 4.451
##   55 3.801 4.502
##   60 3.687 4.535
## 
##  Upper 95 Percent Confidence Limits
##     PovStat
## Age0     0     1
##   30 4.563 4.511
##   35 4.441 4.534
##   40 4.328 4.564
##   45 4.234 4.607
##   50 4.174 4.675
##   55 4.146 4.771
##   60 4.137 4.886
## 
##  Sex*Race effect
##    Race
## Sex     0     1
##   0 4.535 4.023
##   1 4.384 4.314
## 
##  Lower 95 Percent Confidence Limits
##    Race
## Sex     0     1
##   0 4.388 3.852
##   1 4.218 4.109
## 
##  Upper 95 Percent Confidence Limits
##    Race
## Sex     0     1
##   0 4.681 4.193
##   1 4.550 4.518
## 
##  Sex*PovStat effect
##    PovStat
## Sex     0     1
##   0 4.097 4.481
##   1 4.015 4.599
## 
##  Lower 95 Percent Confidence Limits
##    PovStat
## Sex     0     1
##   0 3.929 4.333
##   1 3.805 4.435
## 
##  Upper 95 Percent Confidence Limits
##    PovStat
## Sex     0     1
##   0 4.265 4.630
##   1 4.226 4.762
## 
##  Race*PovStat effect
##     PovStat
## Race     0     1
##    0 4.313 4.583
##    1 3.712 4.460
## 
##  Lower 95 Percent Confidence Limits
##     PovStat
## Race     0     1
##    0 4.157 4.430
##    1 3.482 4.303
## 
##  Upper 95 Percent Confidence Limits
##     PovStat
## Race     0     1
##    0 4.469 4.736
##    1 3.943 4.617

plot of chunk unnamed-chunk-4

Summary and All Effects for Model 2.2 (With Demographics)

summary(m.2.2)
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^2 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
##  -5.06  -1.73   0.48   1.86   5.01 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     4.58012    0.53205    8.61  < 2e-16
## Age0           -0.00334    0.00857   -0.39  0.69711
## Sex1           -0.18537    0.45484   -0.41  0.68365
## Race1          -0.55564    0.45970   -1.21  0.22691
## PovStat1       -1.44904    0.46724   -3.10  0.00195
## Neighborhood02 -0.19058    0.04019   -4.74  2.3e-06
## Educ            0.09210    0.01532    6.01  2.1e-09
## Employment011   0.33887    0.09461    3.58  0.00035
## acasiincomx01  -0.31051    0.09072   -3.42  0.00063
## Age0:Sex1      -0.00236    0.00913   -0.26  0.79578
## Age0:Race1     -0.00551    0.00920   -0.60  0.54943
## Age0:PovStat1   0.02663    0.00930    2.87  0.00421
## Sex1:Race1      0.39552    0.17341    2.28  0.02266
## Sex1:PovStat1   0.22478    0.17416    1.29  0.19695
## Race1:PovStat1  0.43944    0.17735    2.48  0.01330
## 
## Residual standard error: 1.92 on 2126 degrees of freedom
## Multiple R-squared:  0.094,  Adjusted R-squared:  0.0881 
## F-statistic: 15.8 on 14 and 2126 DF,  p-value: <2e-16
e.2.2 = allEffects(m.2.2)
summary(e.2.2)
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^2 + Neighborhood02 + 
##     Educ + Employment01 + acasiincomx01)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.768 4.577 4.387 4.196 4.006 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.570 4.447 4.301 4.096 3.846 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.966 4.708 4.472 4.297 4.165 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.643 4.104 4.564 5.025 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.404 3.992 4.452 4.784 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.883 4.215 4.676 5.265 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.143 4.482 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.008 4.367 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.278 4.597 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.497 4.342 4.187 4.032 3.876 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.374 4.259 4.067 3.837 3.599 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.621 4.425 4.307 4.226 4.154 
## 
##  Age0*Sex effect
##     Sex
## Age0     0     1
##   30 4.161 4.201
##   35 4.211 4.239
##   40 4.260 4.276
##   45 4.309 4.314
##   50 4.358 4.351
##   55 4.408 4.389
##   60 4.457 4.426
## 
##  Lower 95 Percent Confidence Limits
##     Sex
## Age0     0     1
##   30 3.927 3.923
##   35 4.026 4.020
##   40 4.118 4.109
##   45 4.196 4.181
##   50 4.247 4.222
##   55 4.271 4.230
##   60 4.279 4.218
## 
##  Upper 95 Percent Confidence Limits
##     Sex
## Age0     0     1
##   30 4.395 4.479
##   35 4.395 4.458
##   40 4.402 4.443
##   45 4.423 4.446
##   50 4.470 4.480
##   55 4.545 4.548
##   60 4.635 4.634
## 
##  Age0*Race effect
##     Race
## Age0     0     1
##   30 4.302 4.006
##   35 4.358 4.034
##   40 4.413 4.063
##   45 4.469 4.091
##   50 4.525 4.119
##   55 4.581 4.147
##   60 4.636 4.176
## 
##  Lower 95 Percent Confidence Limits
##     Race
## Age0     0     1
##   30 4.062 3.732
##   35 4.169 3.818
##   40 4.269 3.896
##   45 4.355 3.956
##   50 4.414 3.986
##   55 4.445 3.984
##   60 4.459 3.963
## 
##  Upper 95 Percent Confidence Limits
##     Race
## Age0     0     1
##   30 4.542 4.281
##   35 4.546 4.251
##   40 4.558 4.230
##   45 4.583 4.226
##   50 4.636 4.253
##   55 4.717 4.311
##   60 4.814 4.388
## 
##  Age0*PovStat effect
##     PovStat
## Age0     0     1
##   30 4.394 4.024
##   35 4.360 4.124
##   40 4.327 4.223
##   45 4.294 4.323
##   50 4.261 4.423
##   55 4.227 4.523
##   60 4.194 4.623
## 
##  Lower 95 Percent Confidence Limits
##     PovStat
## Age0     0     1
##   30 4.116 3.780
##   35 4.142 3.929
##   40 4.157 4.072
##   45 4.153 4.203
##   50 4.117 4.309
##   55 4.050 4.389
##   60 3.965 4.450
## 
##  Upper 95 Percent Confidence Limits
##     PovStat
## Age0     0     1
##   30 4.671 4.267
##   35 4.579 4.318
##   40 4.497 4.375
##   45 4.435 4.444
##   50 4.404 4.537
##   55 4.405 4.658
##   60 4.423 4.796
## 
##  Sex*Race effect
##    Race
## Sex     0     1
##   0 4.573 4.010
##   1 4.405 4.237
## 
##  Lower 95 Percent Confidence Limits
##    Race
## Sex     0     1
##   0 4.429 3.842
##   1 4.243 4.036
## 
##  Upper 95 Percent Confidence Limits
##    Race
## Sex     0     1
##   0 4.717 4.177
##   1 4.568 4.439
## 
##  Sex*PovStat effect
##    PovStat
## Sex     0     1
##   0 4.332 4.342
##   1 4.199 4.433
## 
##  Lower 95 Percent Confidence Limits
##    PovStat
## Sex     0     1
##   0 4.159 4.193
##   1 3.989 4.269
## 
##  Upper 95 Percent Confidence Limits
##    PovStat
## Sex     0     1
##   0 4.505 4.490
##   1 4.408 4.598
## 
##  Race*PovStat effect
##     PovStat
## Race     0     1
##    0 4.546 4.469
##    1 3.897 4.258
## 
##  Lower 95 Percent Confidence Limits
##     PovStat
## Race     0     1
##    0 4.384 4.317
##    1 3.668 4.099
## 
##  Upper 95 Percent Confidence Limits
##     PovStat
## Race     0     1
##    0 4.709 4.621
##    1 4.125 4.418
plot(e.2.2)

plot of chunk unnamed-chunk-5

Summary and All Effects for Model 2.3 (With Demographics and Depression)

summary(m.2.3)
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^2 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01 + CES), 
##     data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.083 -1.002 -0.233  1.921  6.280 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)     5.29582    0.52466   10.09  < 2e-16
## Age0           -0.00587    0.00838   -0.70  0.48399
## Sex1           -0.24752    0.44446   -0.56  0.57765
## Race1          -0.44078    0.44931   -0.98  0.32669
## PovStat1       -1.37016    0.45659   -3.00  0.00272
## Neighborhood02 -0.15031    0.03947   -3.81  0.00014
## Educ            0.07632    0.01505    5.07  4.3e-07
## Employment011   0.17870    0.09379    1.91  0.05689
## acasiincomx01  -0.21709    0.08912   -2.44  0.01494
## CES            -0.03883    0.00385  -10.10  < 2e-16
## Age0:Sex1      -0.00169    0.00892   -0.19  0.85003
## Age0:Race1     -0.00609    0.00899   -0.68  0.49785
## Age0:PovStat1   0.02414    0.00909    2.66  0.00796
## Sex1:Race1      0.35105    0.16949    2.07  0.03846
## Sex1:PovStat1   0.24305    0.17017    1.43  0.15337
## Race1:PovStat1  0.43259    0.17328    2.50  0.01262
## 
## Residual standard error: 1.87 on 2125 degrees of freedom
## Multiple R-squared:  0.136,  Adjusted R-squared:  0.129 
## F-statistic: 22.2 on 15 and 2125 DF,  p-value: <2e-16
e.2.3 = allEffects(m.2.3)
summary(e.2.3)
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^2 + Neighborhood02 + 
##     Educ + Employment01 + acasiincomx01 + CES)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.677 4.527 4.377 4.226 4.076 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.483 4.399 4.293 4.128 3.920 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.871 4.655 4.460 4.325 4.232 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.763 4.144 4.526 4.907 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.527 4.035 4.416 4.671 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.998 4.254 4.636 5.143 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.235 4.414 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.102 4.301 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.368 4.527 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.450 4.341 4.232 4.124 4.015 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.329 4.260 4.115 3.933 3.743 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.570 4.422 4.350 4.314 4.288 
## 
##  CES effect
## CES
##     0    10    20    30    40    50 
## 4.910 4.522 4.133 3.745 3.357 2.968 
## 
##  Lower 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 4.772 4.433 4.043 3.604 3.150 2.690 
## 
##  Upper 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 5.048 4.610 4.223 3.885 3.563 3.246 
## 
##  Age0*Sex effect
##     Sex
## Age0     0     1
##   30 4.254 4.244
##   35 4.282 4.263
##   40 4.310 4.283
##   45 4.338 4.303
##   50 4.366 4.323
##   55 4.394 4.342
##   60 4.423 4.362
## 
##  Lower 95 Percent Confidence Limits
##     Sex
## Age0     0     1
##   30 4.024 3.972
##   35 4.101 4.049
##   40 4.171 4.120
##   45 4.227 4.173
##   50 4.257 4.196
##   55 4.261 4.187
##   60 4.248 4.158
## 
##  Upper 95 Percent Confidence Limits
##     Sex
## Age0     0     1
##   30 4.483 4.515
##   35 4.463 4.477
##   40 4.449 4.447
##   45 4.449 4.432
##   50 4.475 4.449
##   55 4.528 4.498
##   60 4.597 4.566
## 
##  Age0*Race effect
##     Race
## Age0     0     1
##   30 4.342 4.120
##   35 4.379 4.127
##   40 4.416 4.134
##   45 4.454 4.141
##   50 4.491 4.148
##   55 4.528 4.154
##   60 4.566 4.161
## 
##  Lower 95 Percent Confidence Limits
##     Race
## Age0     0     1
##   30 4.108 3.851
##   35 4.195 3.915
##   40 4.275 3.970
##   45 4.342 4.009
##   50 4.383 4.017
##   55 4.395 3.995
##   60 4.391 3.954
## 
##  Upper 95 Percent Confidence Limits
##     Race
## Age0     0     1
##   30 4.576 4.389
##   35 4.564 4.340
##   40 4.557 4.298
##   45 4.565 4.273
##   50 4.599 4.278
##   55 4.661 4.314
##   60 4.740 4.369
## 
##  Age0*PovStat effect
##     PovStat
## Age0     0     1
##   30 4.459 4.098
##   35 4.414 4.173
##   40 4.368 4.248
##   45 4.322 4.323
##   50 4.277 4.398
##   55 4.231 4.473
##   60 4.185 4.548
## 
##  Lower 95 Percent Confidence Limits
##     PovStat
## Age0     0     1
##   30 4.188 3.860
##   35 4.200 3.983
##   40 4.202 4.100
##   45 4.185 4.205
##   50 4.136 4.287
##   55 4.058 4.342
##   60 3.962 4.379
## 
##  Upper 95 Percent Confidence Limits
##     PovStat
## Age0     0     1
##   30 4.731 4.337
##   35 4.628 4.364
##   40 4.534 4.396
##   45 4.460 4.441
##   50 4.417 4.510
##   55 4.405 4.605
##   60 4.409 4.718
## 
##  Sex*Race effect
##    Race
## Sex     0     1
##   0 4.555 4.074
##   1 4.368 4.239
## 
##  Lower 95 Percent Confidence Limits
##    Race
## Sex     0     1
##   0 4.414 3.911
##   1 4.209 4.042
## 
##  Upper 95 Percent Confidence Limits
##    Race
## Sex     0     1
##   0 4.696 4.238
##   1 4.528 4.435
## 
##  Sex*PovStat effect
##    PovStat
## Sex     0     1
##   0 4.374 4.340
##   1 4.192 4.402
## 
##  Lower 95 Percent Confidence Limits
##    PovStat
## Sex     0     1
##   0 4.205 4.195
##   1 3.988 4.241
## 
##  Upper 95 Percent Confidence Limits
##    PovStat
## Sex     0     1
##   0 4.543 4.485
##   1 4.397 4.562
## 
##  Race*PovStat effect
##     PovStat
## Race     0     1
##    0 4.540 4.429
##    1 3.957 4.279
## 
##  Lower 95 Percent Confidence Limits
##     PovStat
## Race     0     1
##    0 4.380 4.280
##    1 3.734 4.123
## 
##  Upper 95 Percent Confidence Limits
##     PovStat
## Race     0     1
##    0 4.699 4.578
##    1 4.181 4.436
plot(e.2.3)

plot of chunk unnamed-chunk-6

Model 3 (Three-way Interactions

Summary and All Effects for Model 3.1 (No Demographics)

## 
## 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
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^3 + Neighborhood02)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.924 4.665 4.406 4.148 3.889 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.725 4.533 4.319 4.045 3.728 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 5.123 4.797 4.494 4.250 4.049 
## 
##  Age0*Sex*Race effect
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.415 4.284
##   35 4.448 4.313
##   40 4.482 4.342
##   45 4.515 4.371
##   50 4.548 4.400
##   55 4.582 4.429
##   60 4.615 4.457
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 3.990 4.495
##   35 3.997 4.451
##   40 4.004 4.406
##   45 4.011 4.362
##   50 4.019 4.317
##   55 4.026 4.273
##   60 4.033 4.228
## 
## 
##  Lower 95 Percent Confidence Limits
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.093 3.913
##   35 4.194 4.021
##   40 4.286 4.120
##   45 4.360 4.195
##   50 4.399 4.229
##   55 4.400 4.217
##   60 4.378 4.179
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 3.629 4.050
##   35 3.713 4.099
##   40 3.786 4.135
##   45 3.835 4.143
##   50 3.842 4.103
##   55 3.807 4.012
##   60 3.749 3.891
## 
## 
##  Upper 95 Percent Confidence Limits
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.737 4.656
##   35 4.703 4.605
##   40 4.678 4.564
##   45 4.671 4.546
##   50 4.698 4.571
##   55 4.764 4.640
##   60 4.852 4.736
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 4.350 4.940
##   35 4.281 4.802
##   40 4.222 4.678
##   45 4.188 4.580
##   50 4.195 4.531
##   55 4.244 4.533
##   60 4.317 4.566
## 
## 
##  Age0*Sex*PovStat effect
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.215 4.457
##   35 4.180 4.339
##   40 4.145 4.221
##   45 4.110 4.103
##   50 4.075 3.985
##   55 4.041 3.867
##   60 4.006 3.749
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.253 4.312
##   35 4.317 4.393
##   40 4.380 4.475
##   45 4.444 4.557
##   50 4.508 4.638
##   55 4.571 4.720
##   60 4.635 4.802
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 3.857 4.004
##   35 3.900 3.984
##   40 3.931 3.949
##   45 3.937 3.883
##   50 3.900 3.763
##   55 3.821 3.589
##   60 3.718 3.386
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.929 3.945
##   35 4.060 4.103
##   40 4.182 4.253
##   45 4.286 4.382
##   50 4.357 4.472
##   55 4.390 4.519
##   60 4.400 4.539
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.573 4.911
##   35 4.461 4.695
##   40 4.360 4.493
##   45 4.283 4.323
##   50 4.251 4.208
##   55 4.260 4.145
##   60 4.293 4.112
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.577 4.679
##   35 4.574 4.683
##   40 4.579 4.697
##   45 4.602 4.731
##   50 4.659 4.804
##   55 4.753 4.921
##   60 4.870 5.064
## 
## 
##  Age0*Race*PovStat effect
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.404 4.199
##   35 4.379 4.066
##   40 4.354 3.933
##   45 4.328 3.800
##   50 4.303 3.666
##   55 4.278 3.533
##   60 4.252 3.400
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 4.326 4.211
##   35 4.399 4.281
##   40 4.471 4.351
##   45 4.543 4.421
##   50 4.615 4.492
##   55 4.687 4.562
##   60 4.760 4.632
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.065 3.715
##   35 4.115 3.685
##   40 4.153 3.640
##   45 4.168 3.561
##   50 4.140 3.425
##   55 4.070 3.234
##   60 3.979 3.012
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 3.986 3.873
##   35 4.129 4.014
##   40 4.263 4.146
##   45 4.379 4.257
##   50 4.461 4.331
##   55 4.503 4.366
##   60 4.520 4.378
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.744 4.684
##   35 4.644 4.447
##   40 4.554 4.226
##   45 4.489 4.038
##   50 4.466 3.907
##   55 4.485 3.831
##   60 4.525 3.787
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 4.667 4.549
##   35 4.669 4.548
##   40 4.679 4.557
##   45 4.707 4.586
##   50 4.769 4.652
##   55 4.872 4.757
##   60 5.000 4.886
## 
## 
##  Sex*Race*PovStat effect
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.468 3.564
##   1 4.108 3.935
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.582 4.340
##   1 4.588 4.625
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.265 3.279
##   1 3.864 3.551
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.375 4.129
##   1 4.361 4.393
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.672 3.849
##   1 4.351 4.318
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.788 4.551
##   1 4.815 4.856

plot of chunk unnamed-chunk-7

Summary and All Effects for Model 3.2 (With Demographics)

summary(m.3.2)
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^3 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.079 -1.360 -0.214  1.188  5.259 
## 
## Coefficients:
##                     Estimate Std. Error t value Pr(>|t|)
## (Intercept)          4.19728    0.62176    6.75  1.9e-11
## Age0                 0.00564    0.01088    0.52  0.60443
## Sex1                 0.14501    0.76186    0.19  0.84906
## Race1                0.08711    0.80005    0.11  0.91331
## PovStat1            -0.70469    0.70354   -1.00  0.31663
## Neighborhood02      -0.18962    0.04021   -4.72  2.6e-06
## Educ                 0.09173    0.01534    5.98  2.6e-09
## Employment011        0.33670    0.09482    3.55  0.00039
## acasiincomx01       -0.31525    0.09085   -3.47  0.00053
## Age0:Sex1           -0.01092    0.01580   -0.69  0.48955
## Age0:Race1          -0.02104    0.01654   -1.27  0.20335
## Age0:PovStat1        0.00980    0.01432    0.68  0.49356
## Sex1:Race1           0.82368    0.93148    0.88  0.37665
## Sex1:PovStat1       -0.38660    0.93365   -0.41  0.67886
## Race1:PovStat1      -0.69559    0.93412   -0.74  0.45657
## Age0:Sex1:Race1     -0.00383    0.01873   -0.20  0.83779
## Age0:Sex1:PovStat1   0.01574    0.01897    0.83  0.40671
## Age0:Race1:PovStat1  0.02702    0.01902    1.42  0.15549
## Sex1:Race1:PovStat1 -0.38356    0.35965   -1.07  0.28633
## 
## Residual standard error: 1.92 on 2122 degrees of freedom
## Multiple R-squared:  0.0956, Adjusted R-squared:  0.088 
## F-statistic: 12.5 on 18 and 2122 DF,  p-value: <2e-16
e.3.2 = allEffects(m.3.2)
summary(e.3.2)
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^3 + Neighborhood02 + 
##     Educ + Employment01 + acasiincomx01)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.768 4.579 4.389 4.200 4.010 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.571 4.448 4.303 4.099 3.851 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.966 4.709 4.475 4.300 4.169 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.649 4.107 4.566 5.025 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.409 3.996 4.454 4.784 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.889 4.219 4.678 5.265 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.147 4.484 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.012 4.369 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.282 4.598 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.502 4.345 4.187 4.030 3.872 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.379 4.262 4.067 3.835 3.594 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.626 4.428 4.307 4.224 4.150 
## 
##  Age0*Sex*Race effect
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.371 4.239
##   35 4.428 4.287
##   40 4.485 4.334
##   45 4.542 4.382
##   50 4.598 4.430
##   55 4.655 4.478
##   60 4.712 4.526
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 3.894 4.247
##   35 3.924 4.249
##   40 3.954 4.251
##   45 3.984 4.253
##   50 4.015 4.255
##   55 4.045 4.258
##   60 4.075 4.260
## 
## 
##  Lower 95 Percent Confidence Limits
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.055 3.873
##   35 4.178 4.000
##   40 4.293 4.116
##   45 4.389 4.210
##   50 4.451 4.263
##   55 4.476 4.271
##   60 4.479 4.253
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 3.541 3.808
##   35 3.646 3.902
##   40 3.740 3.983
##   45 3.811 4.038
##   50 3.841 4.045
##   55 3.830 4.002
##   60 3.796 3.928
## 
## 
##  Upper 95 Percent Confidence Limits
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.688 4.604
##   35 4.678 4.573
##   40 4.677 4.553
##   45 4.694 4.554
##   50 4.745 4.598
##   55 4.834 4.685
##   60 4.945 4.799
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 4.248 4.686
##   35 4.202 4.596
##   40 4.168 4.519
##   45 4.158 4.468
##   50 4.188 4.466
##   55 4.259 4.513
##   60 4.354 4.592
## 
## 
##  Age0*Sex*PovStat effect
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.383 4.497
##   35 4.367 4.418
##   40 4.351 4.340
##   45 4.335 4.261
##   50 4.320 4.183
##   55 4.304 4.104
##   60 4.288 4.026
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.020 4.059
##   35 4.110 4.165
##   40 4.200 4.271
##   45 4.289 4.377
##   50 4.379 4.482
##   55 4.469 4.588
##   60 4.558 4.694
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.030 4.050
##   35 4.089 4.067
##   40 4.136 4.071
##   45 4.158 4.043
##   50 4.139 3.962
##   55 4.081 3.828
##   60 3.999 3.666
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.699 3.695
##   35 3.854 3.876
##   40 4.002 4.048
##   45 4.131 4.201
##   50 4.229 4.316
##   55 4.290 4.390
##   60 4.328 4.436
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.736 4.944
##   35 4.645 4.769
##   40 4.566 4.609
##   45 4.513 4.479
##   50 4.500 4.404
##   55 4.527 4.381
##   60 4.577 4.386
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.342 4.424
##   35 4.366 4.454
##   40 4.398 4.494
##   45 4.448 4.553
##   50 4.530 4.648
##   55 4.648 4.787
##   60 4.789 4.952
## 
## 
##  Age0*Race*PovStat effect
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.532 4.291
##   35 4.537 4.183
##   40 4.542 4.074
##   45 4.547 3.966
##   50 4.551 3.857
##   55 4.556 3.748
##   60 4.561 3.640
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 4.158 3.868
##   35 4.246 3.978
##   40 4.333 4.087
##   45 4.421 4.196
##   50 4.508 4.305
##   55 4.596 4.414
##   60 4.683 4.523
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.196 3.817
##   35 4.273 3.809
##   40 4.339 3.786
##   45 4.380 3.730
##   50 4.381 3.618
##   55 4.343 3.453
##   60 4.284 3.257
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 3.821 3.530
##   35 3.978 3.709
##   40 4.127 3.878
##   45 4.258 4.028
##   50 4.356 4.143
##   55 4.415 4.220
##   60 4.448 4.273
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.868 4.766
##   35 4.801 4.556
##   40 4.745 4.362
##   45 4.713 4.201
##   50 4.722 4.096
##   55 4.769 4.044
##   60 4.838 4.023
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 4.495 4.206
##   35 4.514 4.246
##   40 4.540 4.295
##   45 4.584 4.364
##   50 4.661 4.468
##   55 4.777 4.609
##   60 4.919 4.774
## 
## 
##  Sex*Race*PovStat effect
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.711 3.791
##   1 4.333 4.053
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.476 4.153
##   1 4.465 4.399
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.502 3.508
##   1 4.090 3.677
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.272 3.943
##   1 4.241 4.167
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.920 4.074
##   1 4.576 4.429
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.679 4.364
##   1 4.689 4.632
plot(e.3.2)

plot of chunk unnamed-chunk-8

Summary and All Effects for Model 3.3 (With Demographics and Depression)

summary(m.3.3)
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^3 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01 + CES), 
##     data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.155 -1.038  0.503  1.826  6.054 
## 
## Coefficients:
##                     Estimate Std. Error t value Pr(>|t|)
## (Intercept)          4.87543    0.61109    7.98  2.4e-15
## Age0                 0.00396    0.01063    0.37  0.70955
## Sex1                 0.18209    0.74427    0.24  0.80675
## Race1                0.16321    0.78161    0.21  0.83461
## PovStat1            -0.50070    0.68758   -0.73  0.46657
## Neighborhood02      -0.14880    0.03949   -3.77  0.00017
## Educ                 0.07575    0.01507    5.03  5.4e-07
## Employment011        0.17454    0.09401    1.86  0.06349
## acasiincomx01       -0.22269    0.08922   -2.50  0.01264
## CES                 -0.03896    0.00385  -10.12  < 2e-16
## Age0:Sex1           -0.01224    0.01544   -0.79  0.42783
## Age0:Race1          -0.02068    0.01616   -1.28  0.20074
## Age0:PovStat1        0.00480    0.01399    0.34  0.73166
## Sex1:Race1           0.92452    0.91003    1.02  0.30978
## Sex1:PovStat1       -0.65253    0.91246   -0.72  0.47461
## Race1:PovStat1      -0.74275    0.91256   -0.81  0.41578
## Age0:Sex1:Race1     -0.00724    0.01830   -0.40  0.69233
## Age0:Sex1:PovStat1   0.02144    0.01854    1.16  0.24753
## Age0:Race1:PovStat1  0.02760    0.01858    1.49  0.13750
## Sex1:Race1:PovStat1 -0.35331    0.35135   -1.01  0.31473
## 
## Residual standard error: 1.87 on 2121 degrees of freedom
## Multiple R-squared:  0.137,  Adjusted R-squared:  0.13 
## F-statistic: 17.8 on 19 and 2121 DF,  p-value: <2e-16
e.3.3 = allEffects(m.3.3)
summary(e.3.3)
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^3 + Neighborhood02 + 
##     Educ + Employment01 + acasiincomx01 + CES)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.676 4.528 4.379 4.230 4.081 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.482 4.400 4.295 4.132 3.925 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.871 4.655 4.463 4.329 4.237 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.769 4.148 4.527 4.906 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.534 4.039 4.417 4.670 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 4.005 4.258 4.637 5.142 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.240 4.414 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.107 4.301 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.373 4.528 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.455 4.344 4.232 4.121 4.010 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.334 4.263 4.115 3.930 3.737 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.576 4.425 4.350 4.312 4.282 
## 
##  CES effect
## CES
##     0    10    20    30    40    50 
## 4.914 4.525 4.135 3.746 3.356 2.967 
## 
##  Lower 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 4.777 4.436 4.045 3.605 3.149 2.689 
## 
##  Upper 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 5.052 4.613 4.225 3.886 3.563 3.244 
## 
##  Age0*Sex*Race effect
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.437 4.246
##   35 4.471 4.281
##   40 4.504 4.316
##   45 4.538 4.351
##   50 4.572 4.386
##   55 4.606 4.421
##   60 4.639 4.456
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 4.029 4.341
##   35 4.040 4.316
##   40 4.051 4.292
##   45 4.062 4.268
##   50 4.072 4.243
##   55 4.083 4.219
##   60 4.094 4.195
## 
## 
##  Lower 95 Percent Confidence Limits
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.128 3.889
##   35 4.227 4.001
##   40 4.317 4.103
##   45 4.389 4.183
##   50 4.428 4.222
##   55 4.431 4.218
##   60 4.411 4.189
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 3.683 3.911
##   35 3.767 3.977
##   40 3.841 4.030
##   45 3.892 4.057
##   50 3.903 4.038
##   55 3.873 3.969
##   60 3.821 3.870
## 
## 
##  Upper 95 Percent Confidence Limits
## , , Race = 0
## 
##     Sex
## Age0     0     1
##   30 4.746 4.603
##   35 4.715 4.562
##   40 4.692 4.530
##   45 4.687 4.519
##   50 4.716 4.550
##   55 4.781 4.624
##   60 4.868 4.723
## 
## , , Race = 1
## 
##     Sex
## Age0     0     1
##   30 4.376 4.770
##   35 4.313 4.656
##   40 4.261 4.554
##   45 4.231 4.478
##   50 4.242 4.449
##   55 4.292 4.469
##   60 4.366 4.519
## 
## 
##  Age0*Sex*PovStat effect
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.453 4.564
##   35 4.430 4.464
##   40 4.407 4.364
##   45 4.383 4.265
##   50 4.360 4.165
##   55 4.336 4.065
##   60 4.313 3.965
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.132 4.086
##   35 4.191 4.175
##   40 4.249 4.264
##   45 4.307 4.353
##   50 4.365 4.442
##   55 4.424 4.532
##   60 4.482 4.621
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.109 4.127
##   35 4.158 4.121
##   40 4.196 4.102
##   45 4.210 4.051
##   50 4.183 3.949
##   55 4.118 3.795
##   60 4.031 3.613
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.818 3.730
##   35 3.940 3.893
##   40 4.055 4.047
##   45 4.152 4.181
##   50 4.218 4.280
##   55 4.249 4.337
##   60 4.256 4.368
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.798 5.001
##   35 4.702 4.807
##   40 4.617 4.627
##   45 4.556 4.478
##   50 4.536 4.381
##   55 4.555 4.335
##   60 4.595 4.318
## 
## , , PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.447 4.442
##   35 4.441 4.458
##   40 4.443 4.482
##   45 4.462 4.525
##   50 4.513 4.605
##   55 4.599 4.726
##   60 4.708 4.873
## 
## 
##  Age0*Race*PovStat effect
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.565 4.411
##   35 4.559 4.286
##   40 4.552 4.160
##   45 4.546 4.035
##   50 4.540 3.910
##   55 4.533 3.784
##   60 4.527 3.659
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 4.205 3.984
##   35 4.268 4.067
##   40 4.332 4.150
##   45 4.395 4.232
##   50 4.459 4.315
##   55 4.522 4.397
##   60 4.586 4.480
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.237 3.947
##   35 4.301 3.920
##   40 4.354 3.878
##   45 4.384 3.804
##   50 4.373 3.676
##   55 4.325 3.496
##   60 4.256 3.285
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 3.875 3.653
##   35 4.006 3.804
##   40 4.130 3.945
##   45 4.236 4.068
##   50 4.309 4.156
##   55 4.344 4.207
##   60 4.355 4.235
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##     Race
## Age0     0     1
##   30 4.894 4.875
##   35 4.816 4.651
##   40 4.750 4.443
##   45 4.708 4.266
##   50 4.706 4.143
##   55 4.741 4.073
##   60 4.797 4.033
## 
## , , PovStat = 1
## 
##     Race
## Age0     0     1
##   30 4.534 4.315
##   35 4.530 4.330
##   40 4.533 4.354
##   45 4.554 4.397
##   50 4.608 4.474
##   55 4.700 4.588
##   60 4.816 4.725
## 
## 
##  Sex*Race*PovStat effect
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.715 3.889
##   1 4.311 4.062
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.444 4.196
##   1 4.414 4.391
## 
## 
##  Lower 95 Percent Confidence Limits
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.511 3.612
##   1 4.074 3.695
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.245 3.990
##   1 4.196 4.164
## 
## 
##  Upper 95 Percent Confidence Limits
## , , PovStat = 0
## 
##    Race
## Sex     0     1
##   0 4.919 4.166
##   1 4.549 4.429
## 
## , , PovStat = 1
## 
##    Race
## Sex     0     1
##   0 4.643 4.402
##   1 4.633 4.618
plot(e.3.3)

plot of chunk unnamed-chunk-9

Model 4 (Four-Way Interactions)

Summary and All Effects for Model 4.1 (No Demographics)

## 
## 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
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^4 + Neighborhood02)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.925 4.666 4.407 4.147 3.888 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.726 4.534 4.319 4.045 3.727 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 5.125 4.798 4.494 4.249 4.048 
## 
##  Age0*Sex*Race*PovStat effect
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.494 4.283
##   35 4.486 4.234
##   40 4.479 4.186
##   45 4.471 4.138
##   50 4.464 4.089
##   55 4.457 4.041
##   60 4.449 3.993
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 3.816 4.741
##   35 3.746 4.515
##   40 3.676 4.289
##   45 3.607 4.063
##   50 3.537 3.837
##   55 3.468 3.610
##   60 3.398 3.384
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.351 4.294
##   35 4.415 4.377
##   40 4.479 4.460
##   45 4.543 4.542
##   50 4.608 4.625
##   55 4.672 4.708
##   60 4.736 4.791
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.106 4.353
##   35 4.172 4.429
##   40 4.237 4.504
##   45 4.302 4.580
##   50 4.367 4.656
##   55 4.432 4.731
##   60 4.498 4.807
## 
## 
##  Lower 95 Percent Confidence Limits
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.051 3.755
##   35 4.140 3.824
##   40 4.216 3.875
##   45 4.261 3.888
##   50 4.252 3.834
##   55 4.188 3.715
##   60 4.096 3.563
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 3.222 3.929
##   35 3.280 3.876
##   40 3.319 3.798
##   45 3.315 3.666
##   50 3.240 3.440
##   55 3.097 3.120
##   60 2.915 2.746
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.896 3.779
##   35 4.054 3.970
##   40 4.200 4.149
##   45 4.322 4.299
##   50 4.400 4.396
##   55 4.426 4.430
##   60 4.418 4.425
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.656 3.842
##   35 3.816 4.025
##   40 3.963 4.194
##   45 4.082 4.334
##   50 4.150 4.421
##   55 4.166 4.447
##   60 4.151 4.437
## 
## 
##  Upper 95 Percent Confidence Limits
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.936 4.810
##   35 4.832 4.645
##   40 4.741 4.496
##   45 4.681 4.387
##   50 4.676 4.345
##   55 4.725 4.366
##   60 4.802 4.422
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.410 5.553
##   35 4.212 5.154
##   40 4.034 4.780
##   45 3.899 4.459
##   50 3.834 4.233
##   55 3.838 4.101
##   60 3.881 4.023
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.805 4.809
##   35 4.776 4.784
##   40 4.758 4.771
##   45 4.764 4.785
##   50 4.815 4.855
##   55 4.918 4.986
##   60 5.054 5.156
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.557 4.863
##   35 4.527 4.833
##   40 4.510 4.815
##   45 4.522 4.826
##   50 4.584 4.891
##   55 4.699 5.016
##   60 4.844 5.177

plot of chunk unnamed-chunk-10

Summary and All Effects for Model 4.2 (With Demographics)

summary(m.4.2)
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^4 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01), data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.080 -1.157 -0.114  1.563  5.253 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)
## (Intercept)               4.28555    0.64368    6.66  3.5e-11
## Age0                      0.00386    0.01138    0.34  0.73428
## Sex1                     -0.05799    0.85243   -0.07  0.94577
## Race1                    -0.14470    0.91142   -0.16  0.87387
## PovStat1                 -0.86577    0.76620   -1.13  0.25863
## Neighborhood02           -0.19008    0.04023   -4.72  2.5e-06
## Educ                      0.09172    0.01534    5.98  2.6e-09
## Employment011             0.33515    0.09488    3.53  0.00042
## acasiincomx01            -0.31646    0.09090   -3.48  0.00051
## Age0:Sex1                -0.00662    0.01776   -0.37  0.70944
## Age0:Race1               -0.01613    0.01895   -0.85  0.39452
## Age0:PovStat1             0.01316    0.01565    0.84  0.40056
## Sex1:Race1                1.44619    1.49700    0.97  0.33412
## Sex1:PovStat1            -0.00335    1.18001    0.00  0.99774
## Race1:PovStat1           -0.30497    1.18892   -0.26  0.79759
## Age0:Sex1:Race1          -0.01699    0.03105   -0.55  0.58431
## Age0:Sex1:PovStat1        0.00773    0.02423    0.32  0.74974
## Age0:Race1:PovStat1       0.01881    0.02450    0.77  0.44264
## Sex1:Race1:PovStat1      -1.36889    1.88929   -0.72  0.46881
## Age0:Sex1:Race1:PovStat1  0.02066    0.03889    0.53  0.59530
## 
## Residual standard error: 1.92 on 2121 degrees of freedom
## Multiple R-squared:  0.0958, Adjusted R-squared:  0.0877 
## F-statistic: 11.8 on 19 and 2121 DF,  p-value: <2e-16
e.4.2 = allEffects(m.4.2)
summary(e.4.2)
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^4 + Neighborhood02 + 
##     Educ + Employment01 + acasiincomx01)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.769 4.579 4.389 4.199 4.009 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.572 4.449 4.303 4.098 3.850 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.967 4.710 4.475 4.300 4.168 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.649 4.107 4.566 5.025 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.409 3.996 4.454 4.784 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.889 4.219 4.678 5.265 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.148 4.483 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.013 4.368 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.283 4.598 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.503 4.345 4.187 4.028 3.870 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.380 4.262 4.067 3.834 3.592 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.627 4.428 4.307 4.223 4.148 
## 
##  Age0*Sex*Race*PovStat effect
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.641 4.385
##   35 4.661 4.371
##   40 4.680 4.357
##   45 4.699 4.343
##   50 4.718 4.330
##   55 4.738 4.316
##   60 4.757 4.302
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.012 4.692
##   35 3.951 4.513
##   40 3.890 4.334
##   45 3.828 4.154
##   50 3.767 3.975
##   55 3.706 3.796
##   60 3.644 3.616
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.170 4.142
##   35 4.255 4.233
##   40 4.340 4.324
##   45 4.425 4.414
##   50 4.511 4.505
##   55 4.596 4.596
##   60 4.681 4.686
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.801 3.960
##   35 3.899 4.083
##   40 3.998 4.205
##   45 4.096 4.328
##   50 4.195 4.450
##   55 4.293 4.572
##   60 4.392 4.695
## 
## 
##  Lower 95 Percent Confidence Limits
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.205 3.866
##   35 4.318 3.967
##   40 4.417 4.050
##   45 4.485 4.095
##   50 4.501 4.074
##   55 4.466 3.992
##   60 4.403 3.877
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 3.430 3.895
##   35 3.493 3.886
##   40 3.536 3.852
##   45 3.539 3.766
##   50 3.472 3.586
##   55 3.339 3.314
##   60 3.169 2.989
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.723 3.635
##   35 3.899 3.832
##   40 4.065 4.017
##   45 4.207 4.174
##   50 4.306 4.279
##   55 4.354 4.322
##   60 4.369 4.328
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.356 3.454
##   35 3.547 3.681
##   40 3.726 3.895
##   45 3.877 4.080
##   50 3.979 4.215
##   55 4.030 4.291
##   60 4.051 4.331
## 
## 
##  Upper 95 Percent Confidence Limits
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 5.078 4.903
##   35 5.003 4.775
##   40 4.943 4.664
##   45 4.913 4.592
##   50 4.936 4.585
##   55 5.009 4.640
##   60 5.111 4.727
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.595 5.490
##   35 4.409 5.140
##   40 4.243 4.815
##   45 4.118 4.543
##   50 4.062 4.364
##   55 4.072 4.277
##   60 4.119 4.244
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.617 4.649
##   35 4.611 4.634
##   40 4.616 4.630
##   45 4.644 4.654
##   50 4.715 4.731
##   55 4.837 4.869
##   60 4.992 5.044
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.246 4.467
##   35 4.252 4.485
##   40 4.270 4.516
##   45 4.316 4.575
##   50 4.411 4.685
##   55 4.557 4.854
##   60 4.732 5.059
plot(e.4.2)

plot of chunk unnamed-chunk-11

Summary and All Effects for Model 4.3 (With Demographics and Depression)

summary(m.4.3)
## 
## Call:
## lm(formula = MCLcountry ~ ((Age0 + Sex + Race + PovStat)^4 + 
##     Neighborhood02 + Educ + Employment01 + acasiincomx01 + CES), 
##     data = MeasurementData)
## 
## Residuals:
## MCL: SES Standing in country 
##    Min     1Q Median     3Q    Max 
## -5.144 -1.139  0.907  1.249  6.038 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)
## (Intercept)               4.91925    0.63196    7.78  1.1e-14
## Age0                      0.00307    0.01112    0.28  0.78245
## Sex1                      0.08016    0.83290    0.10  0.92334
## Race1                     0.04680    0.89062    0.05  0.95810
## PovStat1                 -0.58171    0.74907   -0.78  0.43750
## Neighborhood02           -0.14906    0.03951   -3.77  0.00017
## Educ                      0.07576    0.01507    5.03  5.4e-07
## Employment011             0.17388    0.09406    1.85  0.06465
## acasiincomx01            -0.22336    0.08928   -2.50  0.01243
## CES                      -0.03893    0.00385  -10.11  < 2e-16
## Age0:Sex1                -0.01008    0.01735   -0.58  0.56132
## Age0:Race1               -0.01821    0.01851   -0.98  0.32526
## Age0:PovStat1             0.00649    0.01530    0.42  0.67168
## Sex1:Race1                1.23694    1.46265    0.85  0.39783
## Sex1:PovStat1            -0.45995    1.15370   -0.40  0.69017
## Race1:PovStat1           -0.54663    1.16177   -0.47  0.63803
## Age0:Sex1:Race1          -0.01384    0.03033   -0.46  0.64819
## Age0:Sex1:PovStat1        0.01742    0.02369    0.74  0.46235
## Age0:Race1:PovStat1       0.02348    0.02394    0.98  0.32681
## Sex1:Race1:PovStat1      -0.84796    1.84647   -0.46  0.64611
## Age0:Sex1:Race1:PovStat1  0.01037    0.03801    0.27  0.78498
## 
## Residual standard error: 1.87 on 2120 degrees of freedom
## Multiple R-squared:  0.137,  Adjusted R-squared:  0.129 
## F-statistic: 16.9 on 20 and 2120 DF,  p-value: <2e-16
e.4.3 = allEffects(m.4.3)
summary(e.4.3)
##  model: MCLcountry ~ ((Age0 + Sex + Race + PovStat)^4 + Neighborhood02 + 
##     Educ + Employment01 + acasiincomx01 + CES)
## 
##  Neighborhood02 effect
## Neighborhood02
##     1     2     3     4     5 
## 4.677 4.528 4.379 4.230 4.081 
## 
##  Lower 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.483 4.400 4.295 4.131 3.925 
## 
##  Upper 95 Percent Confidence Limits
## Neighborhood02
##     1     2     3     4     5 
## 4.871 4.656 4.463 4.328 4.237 
## 
##  Educ effect
## Educ
##     5    10    15    20 
## 3.769 4.148 4.527 4.906 
## 
##  Lower 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 3.534 4.039 4.417 4.670 
## 
##  Upper 95 Percent Confidence Limits
## Educ
##     5    10    15    20 
## 4.005 4.258 4.637 5.142 
## 
##  Employment01 effect
## Employment01
##     0     1 
## 4.240 4.414 
## 
##  Lower 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.107 4.301 
## 
##  Upper 95 Percent Confidence Limits
## Employment01
##     0     1 
## 4.373 4.527 
## 
##  acasiincomx01 effect
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.455 4.344 4.232 4.120 4.009 
## 
##  Lower 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.334 4.263 4.114 3.929 3.736 
## 
##  Upper 95 Percent Confidence Limits
## acasiincomx01
##     1   1.5     2   2.5     3 
## 4.576 4.425 4.350 4.311 4.281 
## 
##  CES effect
## CES
##     0    10    20    30    40    50 
## 4.914 4.525 4.135 3.746 3.357 2.967 
## 
##  Lower 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 4.776 4.436 4.045 3.605 3.150 2.689 
## 
##  Upper 95 Percent Confidence Limits
## CES
##     0    10    20    30    40    50 
## 5.052 4.613 4.226 3.887 3.564 3.246 
## 
##  Age0*Sex*Race*PovStat effect
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.660 4.438
##   35 4.675 4.403
##   40 4.691 4.368
##   45 4.706 4.333
##   50 4.721 4.297
##   55 4.737 4.262
##   60 4.752 4.227
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.160 4.760
##   35 4.085 4.564
##   40 4.009 4.369
##   45 3.933 4.174
##   50 3.858 3.978
##   55 3.782 3.783
##   60 3.706 3.588
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.273 4.113
##   35 4.321 4.198
##   40 4.368 4.282
##   45 4.416 4.367
##   50 4.464 4.451
##   55 4.512 4.536
##   60 4.560 4.620
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.931 4.056
##   35 4.005 4.150
##   40 4.079 4.243
##   45 4.153 4.337
##   50 4.228 4.430
##   55 4.302 4.523
##   60 4.376 4.617
## 
## 
##  Lower 95 Percent Confidence Limits
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.233 3.931
##   35 4.341 4.008
##   40 4.434 4.068
##   45 4.497 4.090
##   50 4.509 4.048
##   55 4.471 3.946
##   60 4.406 3.811
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 3.590 3.981
##   35 3.636 3.952
##   40 3.663 3.899
##   45 3.650 3.794
##   50 3.569 3.599
##   55 3.424 3.312
##   60 3.242 2.975
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.836 3.618
##   35 3.973 3.806
##   40 4.099 3.982
##   45 4.203 4.132
##   50 4.264 4.230
##   55 4.276 4.269
##   60 4.254 4.270
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 3.496 3.561
##   35 3.661 3.757
##   40 3.813 3.940
##   45 3.938 4.095
##   50 4.016 4.200
##   55 4.045 4.249
##   60 4.043 4.261
## 
## 
##  Upper 95 Percent Confidence Limits
## , , Race = 0, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 5.087 4.944
##   35 5.010 4.798
##   40 4.948 4.668
##   45 4.915 4.575
##   50 4.934 4.547
##   55 5.002 4.579
##   60 5.098 4.643
## 
## , , Race = 1, PovStat = 0
## 
##     Sex
## Age0     0     1
##   30 4.730 5.539
##   35 4.533 5.177
##   40 4.355 4.839
##   45 4.217 4.553
##   50 4.146 4.358
##   55 4.140 4.254
##   60 4.170 4.201
## 
## , , Race = 0, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.710 4.609
##   35 4.669 4.589
##   40 4.638 4.582
##   45 4.629 4.601
##   50 4.664 4.672
##   55 4.748 4.803
##   60 4.865 4.970
## 
## , , Race = 1, PovStat = 1
## 
##     Sex
## Age0     0     1
##   30 4.367 4.551
##   35 4.350 4.543
##   40 4.346 4.547
##   45 4.368 4.578
##   50 4.439 4.660
##   55 4.559 4.798
##   60 4.709 4.973
plot(e.4.3)

plot of chunk unnamed-chunk-12