1 Load GSS data

Data source: gss.norc.org

df_2024 <-
  gss_get_yr(2024) %>%
  remove_empty() %>% 
  remove_constant()

gssrdoc::gss_dict %>% select(variable, var_type, label, var_text) %>% datatable(filter = 'top')

Sample values of shortlisted variables from the 2024 GSS survey (n = 3309):

df_2024 <-
  df_2024 %>% 
  transmute(
    trump_rating = as.integer(ratechall124),
    conservative = if_else(as.integer(polviews) > 4, 1L, 0L) %>% replace_na(0L),
    age = as.integer(age),
    educ = as.integer(educ),
    income = as.integer(income16),
    children = as.integer(childs),
    mother_degree = as.integer(madeg),
    father_degree = as.integer(padeg),
    female = if_else(sex == 2, 1L, 0L) %>% replace_na(0L),
    white = if_else(race == 1, 1L, 0L) %>% replace_na(0L),
    married = if_else(marital == 1, 1L, 0L) %>% replace_na(0L),
    born_us = if_else(born == 1, 1L, 0L) %>% replace_na(0L),
  ) %>% 
  mutate(across(where(is.numeric), ~ if_else(is.na(.), round(mean(., na.rm = TRUE)), .)))

df_2024 %>% sample_n(10)

Dependent variable trump_rating on a 0-100 scale:

df_2024 %>%
  ggplot(aes(trump_rating)) +
  geom_histogram(bins = 10) +
  theme_ipsum()

df_2024 %>% select(trump_rating) %>% skim()
Data summary
Name Piped data
Number of rows 3309
Number of columns 1
_______________________
Column type frequency:
numeric 1
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
trump_rating 0 1 38.9 35.8 0 0 39 70 100 ▇▂▃▂▃

Independent variable conservative as 0/1:

df_2024 %>% tabyl(conservative)


Question: Is there heterogeneity in conservative support Trump?



2 Traditional approach

2.1 No controls

Let us start with a model with just the dependent and independent variable.

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 27.18***
  (0.66)
conservative 35.82***
  (1.18)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.62
***p < 0.001; **p < 0.01; *p < 0.05

2.2 Age

Let’s add age as a control and an interaction.

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + age, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 36.21***
  (1.65)
conservative 36.73***
  (1.19)
age -0.19***
  (0.03)
R2 0.23
Adj. R2 0.23
Num. obs. 3309
RMSE 31.46
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * age, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 41.09***
  (1.91)
conservative 20.70***
  (3.65)
age -0.29***
  (0.04)
conservative:age 0.31***
  (0.07)
R2 0.23
Adj. R2 0.23
Num. obs. 3309
RMSE 31.36
***p < 0.001; **p < 0.01; *p < 0.05

2.3 Education

Adding education as a control and an interaction.

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + educ, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 52.06***
  (2.91)
conservative 35.53***
  (1.19)
educ -1.74***
  (0.19)
R2 0.24
Adj. R2 0.24
Num. obs. 3309
RMSE 31.21
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * educ, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 66.23***
  (3.42)
conservative -10.78
  (6.20)
educ -2.74***
  (0.22)
conservative:educ 3.27***
  (0.42)
R2 0.26
Adj. R2 0.25
Num. obs. 3309
RMSE 30.91
***p < 0.001; **p < 0.01; *p < 0.05

2.4 Income

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + income, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 35.95***
  (1.87)
conservative 36.25***
  (1.19)
income -0.49***
  (0.09)
R2 0.23
Adj. R2 0.23
Num. obs. 3309
RMSE 31.49
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * income, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 43.85***
  (2.07)
conservative 6.14
  (4.40)
income -0.93***
  (0.10)
conservative:income 1.62***
  (0.22)
R2 0.24
Adj. R2 0.24
Num. obs. 3309
RMSE 31.19
***p < 0.001; **p < 0.01; *p < 0.05

2.5 Female

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + female, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 29.68***
  (0.94)
conservative 35.47***
  (1.19)
female -4.34***
  (1.11)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.55
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * female, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 29.63***
  (1.05)
conservative 35.62***
  (1.66)
female -4.24**
  (1.35)
conservative:female -0.28
  (2.37)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.55
***p < 0.001; **p < 0.01; *p < 0.05

2.6 White

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + white, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 25.19***
  (1.01)
conservative 35.33***
  (1.22)
white 3.12*
  (1.25)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.59
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * white, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 29.45***
  (1.05)
conservative 15.57***
  (2.67)
white -3.57**
  (1.35)
conservative:white 26.18***
  (2.98)
R2 0.24
Adj. R2 0.24
Num. obs. 3309
RMSE 31.16
***p < 0.001; **p < 0.01; *p < 0.05

2.7 Married

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + married, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 27.06***
  (0.78)
conservative 35.78***
  (1.20)
married 0.33
  (1.13)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.62
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * married,
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 28.18***
  (0.84)
conservative 31.69***
  (1.67)
married -2.74*
  (1.38)
conservative:married 8.91***
  (2.39)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.56
***p < 0.001; **p < 0.01; *p < 0.05

2.8 Children

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + children, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 26.01***
  (0.84)
conservative 35.51***
  (1.19)
children 0.73*
  (0.34)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.60
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * children,
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 25.08***
  (0.90)
conservative 38.90***
  (1.78)
children 1.30**
  (0.40)
conservative:children -1.78*
  (0.73)
R2 0.22
Adj. R2 0.22
Num. obs. 3309
RMSE 31.57
***p < 0.001; **p < 0.01; *p < 0.05

2.9 Father highest degree

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + father_degree, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 32.04***
  (0.91)
conservative 35.60***
  (1.18)
father_degree -3.93***
  (0.42)
R2 0.24
Adj. R2 0.24
Num. obs. 3309
RMSE 31.30
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * father_degree,
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 33.61***
  (0.98)
conservative 30.85***
  (1.74)
father_degree -5.19***
  (0.48)
conservative:father_degree 3.96***
  (0.95)
R2 0.24
Adj. R2 0.24
Num. obs. 3309
RMSE 31.23
***p < 0.001; **p < 0.01; *p < 0.05

2.10 Mother highest degree

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + mother_degree, 
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 30.75***
  (0.93)
conservative 35.47***
  (1.18)
mother_degree -2.80***
  (0.46)
R2 0.23
Adj. R2 0.23
Num. obs. 3309
RMSE 31.46
***p < 0.001; **p < 0.01; *p < 0.05
df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * mother_degree,
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 31.94***
  (0.99)
conservative 31.42***
  (1.82)
mother_degree -3.74***
  (0.52)
conservative:mother_degree 3.42**
  (1.09)
R2 0.23
Adj. R2 0.23
Num. obs. 3309
RMSE 31.42
***p < 0.001; **p < 0.01; *p < 0.05

2.11 Combined model

No interactions:

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative + age + educ + income + female + white + father_degree + mother_degree + married + children,
    data = .) %>% 
  knitreg(include.ci = F, omit.coef = "(Intercept)", digits = 3)
Statistical models
  Model 1
conservative 34.630***
  (1.238)
age -0.280***
  (0.033)
educ -1.006***
  (0.214)
income -0.316**
  (0.107)
female -4.942***
  (1.089)
white 7.732***
  (1.278)
father_degree -2.946***
  (0.520)
mother_degree -1.272*
  (0.569)
married 2.272
  (1.196)
children 0.957**
  (0.360)
R2 0.274
Adj. R2 0.271
Num. obs. 3309
RMSE 30.560
***p < 0.001; **p < 0.01; *p < 0.05

With interactions:

df_2024 %>%
  lm_robust(
    trump_rating ~ conservative * income * age * educ * female * white * father_degree * mother_degree * married * children,
    data = .) %>% 
  knitreg(include.ci = F, digits = 2)
Statistical models
  Model 1
(Intercept) 88.07
conservative -608.37
income 3.29
age -0.57
educ -5.43
female 230.76
white 184.05
father_degree -44.31
mother_degree 58.90
married 171.49
children -287.74
conservative:income -178.25
conservative:age -489.25
income:age -0.03
conservative:educ -5.69
income:educ -0.11
age:educ 0.05
conservative:female 4804.79
income:female -19.74
age:female -3.45
educ:female -21.57
conservative:white  
income:white -11.34
age:white -2.61
educ:white -10.51
female:white -556.99
conservative:father_degree -7616.13
income:father_degree 1.86
age:father_degree -0.77
educ:father_degree 3.92
female:father_degree -40.94
white:father_degree -99.51
conservative:mother_degree 1073.82
income:mother_degree -1.71
age:mother_degree -1.69
educ:mother_degree 1.29
female:mother_degree -25.89
white:mother_degree -221.36
father_degree:mother_degree -95.10
conservative:married  
income:married -15.33
age:married 7.81
educ:married -9.54
female:married 699.73
white:married -313.95
father_degree:married -742.49
mother_degree:married 3850.75
conservative:children -2901.15
income:children 12.11
age:children 3.82
educ:children 29.95
female:children 195.33
white:children -602.13
father_degree:children 583.79
mother_degree:children -151.27
married:children 284.70
conservative:income:age 29.35
conservative:income:educ 32.99
conservative:age:educ 40.67
income:age:educ -0.00
conservative:income:female -114.04
conservative:age:female 403.52
income:age:female 0.24
conservative:educ:female -343.67
income:educ:female 1.62
age:educ:female 0.40
conservative:income:white 212.84
conservative:age:white 502.74
income:age:white 0.15
conservative:educ:white 42.92
income:educ:white 0.66
age:educ:white 0.17
conservative:female:white -3343.24
income:female:white 36.11
age:female:white 9.38
educ:female:white 38.19
conservative:income:father_degree 89.07
conservative:age:father_degree 607.48
income:age:father_degree -0.01
conservative:educ:father_degree 1011.25
income:educ:father_degree -0.17
age:educ:father_degree 0.07
conservative:female:father_degree -843.62
income:female:father_degree 3.22
age:female:father_degree 1.39
educ:female:father_degree 6.85
conservative:white:father_degree 8214.47
income:white:father_degree 5.34
age:white:father_degree 4.51
educ:white:father_degree 5.74
female:white:father_degree 328.96
conservative:income:mother_degree 175.69
conservative:age:mother_degree 347.95
income:age:mother_degree 0.03
conservative:educ:mother_degree -51.55
income:educ:mother_degree -0.08
age:educ:mother_degree 0.01
conservative:female:mother_degree  
income:female:mother_degree -0.26
age:female:mother_degree 0.89
educ:female:mother_degree -5.85
conservative:white:mother_degree  
income:white:mother_degree 11.38
age:white:mother_degree 4.02
educ:white:mother_degree 10.23
female:white:mother_degree 480.46
conservative:father_degree:mother_degree -12972.05
income:father_degree:mother_degree 0.59
age:father_degree:mother_degree 3.09
educ:father_degree:mother_degree 3.66
female:father_degree:mother_degree 43.67
white:father_degree:mother_degree 176.96
conservative:income:married -41.22
conservative:age:married 105.82
income:age:married -0.21
conservative:educ:married  
income:educ:married 0.87
age:educ:married -0.66
conservative:female:married  
income:female:married -26.50
age:female:married -22.66
educ:female:married -24.04
conservative:white:married 663.10
income:white:married 33.72
age:white:married -2.04
educ:white:married 23.28
female:white:married -812.41
conservative:father_degree:married  
income:father_degree:married 43.90
age:father_degree:married 3.41
educ:father_degree:married 67.80
female:father_degree:married -942.75
white:father_degree:married 568.68
conservative:mother_degree:married  
income:mother_degree:married -177.13
age:mother_degree:married -87.55
educ:mother_degree:married -266.05
female:mother_degree:married -4692.47
white:mother_degree:married -2681.01
father_degree:mother_degree:married -3137.92
conservative:income:children -1004.26
conservative:age:children 271.51
income:age:children -0.15
conservative:educ:children 150.88
income:educ:children -1.36
age:educ:children -0.41
conservative:female:children -688.00
income:female:children -1.30
age:female:children -2.52
educ:female:children -20.98
conservative:white:children 3117.00
income:white:children 25.68
age:white:children 8.07
educ:white:children 44.61
female:white:children 674.96
conservative:father_degree:children 467.81
income:father_degree:children -36.63
age:father_degree:children -9.17
educ:father_degree:children -52.93
female:father_degree:children -616.89
white:father_degree:children -312.53
conservative:mother_degree:children 11035.81
income:mother_degree:children 23.65
age:mother_degree:children 4.18
educ:mother_degree:children 4.56
female:mother_degree:children 237.60
white:mother_degree:children 1088.45
father_degree:mother_degree:children -68.60
conservative:married:children  
income:married:children -8.46
age:married:children -3.00
educ:married:children -37.07
female:married:children -426.70
white:married:children 449.96
father_degree:married:children 48.41
mother_degree:married:children -879.40
conservative:income:age:educ -2.81
conservative:income:age:female -23.67
conservative:income:educ:female -8.72
conservative:age:educ:female -33.55
income:age:educ:female -0.03
conservative:income:age:white -30.15
conservative:income:educ:white -34.98
conservative:age:educ:white -41.62
income:age:educ:white -0.01
conservative:income:female:white 29.85
conservative:age:female:white -428.54
income:age:female:white -0.57
conservative:educ:female:white 246.34
income:educ:female:white -2.41
age:educ:female:white -0.68
conservative:income:age:father_degree -19.25
conservative:income:educ:father_degree -36.29
conservative:age:educ:father_degree -59.73
income:age:educ:father_degree -0.00
conservative:income:female:father_degree 419.45
conservative:age:female:father_degree -443.77
income:age:female:father_degree -0.04
conservative:educ:female:father_degree -339.84
income:educ:female:father_degree -0.36
age:educ:female:father_degree -0.23
conservative:income:white:father_degree -121.67
conservative:age:white:father_degree -627.41
income:age:white:father_degree -0.18
conservative:educ:white:father_degree -1054.51
income:educ:white:father_degree -0.33
age:educ:white:father_degree -0.32
conservative:female:white:father_degree  
income:female:white:father_degree -17.58
age:female:white:father_degree -8.18
educ:female:white:father_degree -22.68
conservative:income:age:mother_degree -21.96
conservative:income:educ:mother_degree -31.67
conservative:age:educ:mother_degree -27.53
income:age:educ:mother_degree 0.00
conservative:income:female:mother_degree -2526.89
conservative:age:female:mother_degree -303.51
income:age:female:mother_degree -0.03
conservative:educ:female:mother_degree 182.07
income:educ:female:mother_degree 0.34
age:educ:female:mother_degree 0.10
conservative:income:white:mother_degree -229.00
conservative:age:white:mother_degree -363.86
income:age:white:mother_degree -0.18
conservative:educ:white:mother_degree -24.78
income:educ:white:mother_degree -0.61
age:educ:white:mother_degree -0.19
conservative:female:white:mother_degree -1535.68
income:female:white:mother_degree -24.82
age:female:white:mother_degree -9.30
educ:female:white:mother_degree -25.41
conservative:income:father_degree:mother_degree 895.17
conservative:age:father_degree:mother_degree 12.04
income:age:father_degree:mother_degree -0.02
conservative:educ:father_degree:mother_degree 647.93
income:educ:father_degree:mother_degree 0.06
age:educ:father_degree:mother_degree -0.15
conservative:female:father_degree:mother_degree 14950.33
income:female:father_degree:mother_degree 2.92
age:female:father_degree:mother_degree -1.86
educ:female:father_degree:mother_degree -0.29
conservative:white:father_degree:mother_degree 12476.66
income:white:father_degree:mother_degree -5.63
age:white:father_degree:mother_degree -5.05
educ:white:father_degree:mother_degree -9.40
female:white:father_degree:mother_degree -234.38
conservative:income:age:married -21.14
conservative:income:educ:married -342.72
conservative:age:educ:married 21.82
income:age:educ:married 0.02
conservative:income:female:married  
conservative:age:female:married 80.08
income:age:female:married 0.96
conservative:educ:female:married  
income:educ:female:married 0.71
age:educ:female:married 1.24
conservative:income:white:married  
conservative:age:white:married -126.15
income:age:white:married -0.32
conservative:educ:white:married -40.66
income:educ:white:married -2.14
age:educ:white:married 0.20
conservative:female:white:married -4063.56
income:female:white:married 24.38
age:female:white:married 35.93
educ:female:white:married 30.18
conservative:income:father_degree:married 36.58
conservative:age:father_degree:married 19.67
income:age:father_degree:married -0.31
conservative:educ:father_degree:married  
income:educ:father_degree:married -3.43
age:educ:father_degree:married -0.53
conservative:female:father_degree:married 3704.78
income:female:father_degree:married 11.61
age:female:father_degree:married 26.14
educ:female:father_degree:married 28.19
conservative:white:father_degree:married -521.10
income:white:father_degree:married -42.83
age:white:father_degree:married -6.56
educ:white:father_degree:married -51.32
female:white:father_degree:married 848.30
conservative:income:mother_degree:married 117.39
conservative:age:mother_degree:married  
income:age:mother_degree:married 4.06
conservative:educ:mother_degree:married 186.47
income:educ:mother_degree:married 11.96
age:educ:mother_degree:married 6.06
conservative:female:mother_degree:married  
income:female:mother_degree:married 291.49
age:female:mother_degree:married 109.36
educ:female:mother_degree:married 284.44
conservative:white:mother_degree:married -2697.54
income:white:mother_degree:married 117.97
age:white:mother_degree:married 68.78
educ:white:mother_degree:married 187.09
female:white:mother_degree:married 3608.34
conservative:father_degree:mother_degree:married 1331.37
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conservative:educ:white:father_degree:mother_degree:children -961.75
income:educ:white:father_degree:mother_degree:children -1.23
age:educ:white:father_degree:mother_degree:children -0.17
conservative:female:white:father_degree:mother_degree:children -677.35
income:female:white:father_degree:mother_degree:children -21.76
age:female:white:father_degree:mother_degree:children -2.37
educ:female:white:father_degree:mother_degree:children -22.15
conservative:income:age:educ:married:children -1.56
conservative:income:age:female:married:children 0.30
conservative:income:educ:female:married:children -158.04
conservative:age:educ:female:married:children 22.74
income:age:educ:female:married:children 0.01
conservative:income:age:white:married:children -0.30
conservative:income:educ:white:married:children -102.29
conservative:age:educ:white:married:children 19.50
income:age:educ:white:married:children -0.03
conservative:income:female:white:married:children  
conservative:age:female:white:married:children 55.45
income:age:female:white:married:children -0.75
conservative:educ:female:white:married:children  
income:educ:female:white:married:children -3.19
age:educ:female:white:married:children -0.61
conservative:income:age:father_degree:married:children 53.14
conservative:income:educ:father_degree:married:children -196.71
conservative:age:educ:father_degree:married:children 188.06
income:age:educ:father_degree:married:children 0.03
conservative:income:female:father_degree:married:children 74.77
conservative:age:female:father_degree:married:children 24.16
income:age:female:father_degree:married:children 0.40
conservative:educ:female:father_degree:married:children 107.59
income:educ:female:father_degree:married:children 1.82
age:educ:female:father_degree:married:children 0.76
conservative:income:white:father_degree:married:children -1416.89
conservative:age:white:father_degree:married:children 1804.50
income:age:white:father_degree:married:children 0.36
conservative:educ:white:father_degree:married:children 490.20
income:educ:white:father_degree:married:children 0.65
age:educ:white:father_degree:married:children 0.19
conservative:female:white:father_degree:married:children -1632.05
income:female:white:father_degree:married:children -6.26
age:female:white:father_degree:married:children 4.64
educ:female:white:father_degree:married:children -20.63
conservative:income:age:mother_degree:married:children -5.04
conservative:income:educ:mother_degree:married:children -46.81
conservative:age:educ:mother_degree:married:children -38.08
income:age:educ:mother_degree:married:children 0.04
conservative:income:female:mother_degree:married:children  
conservative:age:female:mother_degree:married:children -37.16
income:age:female:mother_degree:married:children 0.56
conservative:educ:female:mother_degree:married:children 231.77
income:educ:female:mother_degree:married:children 2.33
age:educ:female:mother_degree:married:children 0.00
conservative:income:white:mother_degree:married:children 2066.63
conservative:age:white:mother_degree:married:children -519.26
income:age:white:mother_degree:married:children -0.56
conservative:educ:white:mother_degree:married:children  
income:educ:white:mother_degree:married:children -2.09
age:educ:white:mother_degree:married:children -0.49
conservative:female:white:mother_degree:married:children -3111.66
income:female:white:mother_degree:married:children -30.26
age:female:white:mother_degree:married:children -18.00
educ:female:white:mother_degree:married:children -95.85
conservative:income:father_degree:mother_degree:married:children 8.56
conservative:age:father_degree:mother_degree:married:children 1286.20
income:age:father_degree:mother_degree:married:children 0.71
conservative:educ:father_degree:mother_degree:married:children  
income:educ:father_degree:mother_degree:married:children 2.55
age:educ:father_degree:mother_degree:married:children 1.10
conservative:female:father_degree:mother_degree:married:children  
income:female:father_degree:mother_degree:married:children 53.88
age:female:father_degree:mother_degree:married:children 12.32
educ:female:father_degree:mother_degree:married:children 28.81
conservative:white:father_degree:mother_degree:married:children  
income:white:father_degree:mother_degree:married:children 6.16
age:white:father_degree:mother_degree:married:children 7.78
educ:white:father_degree:mother_degree:married:children 1.20
female:white:father_degree:mother_degree:married:children -35.85
conservative:income:age:educ:female:white:father_degree 1.64
conservative:income:age:educ:female:white:mother_degree 3.90
conservative:income:age:educ:female:father_degree:mother_degree 1.29
conservative:income:age:educ:white:father_degree:mother_degree -0.12
conservative:income:age:female:white:father_degree:mother_degree 19.76
conservative:income:educ:female:white:father_degree:mother_degree 80.41
conservative:age:educ:female:white:father_degree:mother_degree -4.56
income:age:educ:female:white:father_degree:mother_degree 0.01
conservative:income:age:educ:female:white:married 5.29
conservative:income:age:educ:female:father_degree:married 7.24
conservative:income:age:educ:white:father_degree:married -1.29
conservative:income:age:female:white:father_degree:married -4.62
conservative:income:educ:female:white:father_degree:married 744.34
conservative:age:educ:female:white:father_degree:married -72.85
income:age:educ:female:white:father_degree:married -0.01
conservative:income:age:educ:female:mother_degree:married 60.98
conservative:income:age:educ:white:mother_degree:married 5.39
conservative:income:age:female:white:mother_degree:married 1124.88
conservative:income:educ:female:white:mother_degree:married 1081.52
conservative:age:educ:female:white:mother_degree:married -651.81
income:age:educ:female:white:mother_degree:married -0.36
conservative:income:age:educ:father_degree:mother_degree:married -0.86
conservative:income:age:female:father_degree:mother_degree:married 1075.28
conservative:income:educ:female:father_degree:mother_degree:married 1022.80
conservative:age:educ:female:father_degree:mother_degree:married -628.26
income:age:educ:female:father_degree:mother_degree:married -0.44
conservative:income:age:white:father_degree:mother_degree:married -22.45
conservative:income:educ:white:father_degree:mother_degree:married 318.84
conservative:age:educ:white:father_degree:mother_degree:married -85.79
income:age:educ:white:father_degree:mother_degree:married -0.19
conservative:income:female:white:father_degree:mother_degree:married  
conservative:age:female:white:father_degree:mother_degree:married  
income:age:female:white:father_degree:mother_degree:married -7.05
conservative:educ:female:white:father_degree:mother_degree:married  
income:educ:female:white:father_degree:mother_degree:married -18.09
age:educ:female:white:father_degree:mother_degree:married -8.13
conservative:income:age:educ:female:white:children -0.03
conservative:income:age:educ:female:father_degree:children -0.04
conservative:income:age:educ:white:father_degree:children 0.37
conservative:income:age:female:white:father_degree:children -18.60
conservative:income:educ:female:white:father_degree:children -32.73
conservative:age:educ:female:white:father_degree:children 18.12
income:age:educ:female:white:father_degree:children -0.05
conservative:income:age:educ:female:mother_degree:children 3.64
conservative:income:age:educ:white:mother_degree:children 1.77
conservative:income:age:female:white:mother_degree:children 31.32
conservative:income:educ:female:white:mother_degree:children 44.40
conservative:age:educ:female:white:mother_degree:children 48.03
income:age:educ:female:white:mother_degree:children 0.09
conservative:income:age:educ:father_degree:mother_degree:children 1.14
conservative:income:age:female:father_degree:mother_degree:children 12.11
conservative:income:educ:female:father_degree:mother_degree:children 51.74
conservative:age:educ:female:father_degree:mother_degree:children 31.53
income:age:educ:female:father_degree:mother_degree:children 0.01
conservative:income:age:white:father_degree:mother_degree:children -17.13
conservative:income:educ:white:father_degree:mother_degree:children -77.92
conservative:age:educ:white:father_degree:mother_degree:children 44.18
income:age:educ:white:father_degree:mother_degree:children 0.01
conservative:income:female:white:father_degree:mother_degree:children -458.07
conservative:age:female:white:father_degree:mother_degree:children 149.03
income:age:female:white:father_degree:mother_degree:children 0.27
conservative:educ:female:white:father_degree:mother_degree:children 774.17
income:educ:female:white:father_degree:mother_degree:children 1.32
age:educ:female:white:father_degree:mother_degree:children 0.17
conservative:income:age:educ:female:married:children 2.04
conservative:income:age:educ:white:married:children 1.55
conservative:income:age:female:white:married:children 2.07
conservative:income:educ:female:white:married:children 166.89
conservative:age:educ:female:white:married:children -19.21
income:age:educ:female:white:married:children 0.05
conservative:income:age:educ:father_degree:married:children -5.14
conservative:income:age:female:father_degree:married:children -19.62
conservative:income:educ:female:father_degree:married:children 221.40
conservative:age:educ:female:father_degree:married:children -25.69
income:age:educ:female:father_degree:married:children -0.04
conservative:income:age:white:father_degree:married:children -53.93
conservative:income:educ:white:father_degree:married:children 194.14
conservative:age:educ:white:father_degree:married:children -189.02
income:age:educ:white:father_degree:married:children -0.03
conservative:income:female:white:father_degree:married:children  
conservative:age:female:white:father_degree:married:children  
income:age:female:white:father_degree:married:children -0.22
conservative:educ:female:white:father_degree:married:children  
income:educ:female:white:father_degree:married:children 0.14
age:educ:female:white:father_degree:married:children -0.29
conservative:income:age:educ:mother_degree:married:children 4.14
conservative:income:age:female:mother_degree:married:children 407.39
conservative:income:educ:female:mother_degree:married:children 347.12
conservative:age:educ:female:mother_degree:married:children -313.18
income:age:educ:female:mother_degree:married:children -0.03
conservative:income:age:white:mother_degree:married:children 6.03
conservative:income:educ:white:mother_degree:married:children 51.46
conservative:age:educ:white:mother_degree:married:children 39.90
income:age:educ:white:mother_degree:married:children 0.04
conservative:income:female:white:mother_degree:married:children 140.54
conservative:age:female:white:mother_degree:married:children 92.75
income:age:female:white:mother_degree:married:children 0.39
conservative:educ:female:white:mother_degree:married:children  
income:educ:female:white:mother_degree:married:children 2.92
age:educ:female:white:mother_degree:married:children 1.58
conservative:income:age:father_degree:mother_degree:married:children -42.13
conservative:income:educ:father_degree:mother_degree:married:children 154.03
conservative:age:educ:father_degree:mother_degree:married:children -125.47
income:age:educ:father_degree:mother_degree:married:children -0.05
conservative:income:female:father_degree:mother_degree:married:children  
conservative:age:female:father_degree:mother_degree:married:children  
income:age:female:father_degree:mother_degree:married:children -1.17
conservative:educ:female:father_degree:mother_degree:married:children -127.25
income:educ:female:father_degree:mother_degree:married:children -3.51
age:educ:female:father_degree:mother_degree:married:children -0.65
conservative:income:white:father_degree:mother_degree:married:children  
conservative:age:white:father_degree:mother_degree:married:children -1284.19
income:age:white:father_degree:mother_degree:married:children -0.45
conservative:educ:white:father_degree:mother_degree:married:children 36.64
income:educ:white:father_degree:mother_degree:married:children -0.52
age:educ:white:father_degree:mother_degree:married:children -0.52
conservative:female:white:father_degree:mother_degree:married:children 1806.38
income:female:white:father_degree:mother_degree:married:children -34.14
age:female:white:father_degree:mother_degree:married:children -9.12
educ:female:white:father_degree:mother_degree:married:children 17.64
conservative:income:age:educ:female:white:father_degree:mother_degree -1.31
conservative:income:age:educ:female:white:father_degree:married -7.49
conservative:income:age:educ:female:white:mother_degree:married -61.29
conservative:income:age:educ:female:father_degree:mother_degree:married -56.87
conservative:income:age:educ:white:father_degree:mother_degree:married 0.77
conservative:income:age:female:white:father_degree:mother_degree:married -1078.07
conservative:income:educ:female:white:father_degree:mother_degree:married -1031.91
conservative:age:educ:female:white:father_degree:mother_degree:married 624.80
income:age:educ:female:white:father_degree:mother_degree:married 0.43
conservative:income:age:educ:female:white:father_degree:children 0.07
conservative:income:age:educ:female:white:mother_degree:children -3.72
conservative:income:age:educ:female:father_degree:mother_degree:children -2.98
conservative:income:age:educ:white:father_degree:mother_degree:children -1.14
conservative:income:age:female:white:father_degree:mother_degree:children -12.14
conservative:income:educ:female:white:father_degree:mother_degree:children -53.92
conservative:age:educ:female:white:father_degree:mother_degree:children -31.86
income:age:educ:female:white:father_degree:mother_degree:children -0.02
conservative:income:age:educ:female:white:married:children -2.21
conservative:income:age:educ:female:father_degree:married:children -0.67
conservative:income:age:educ:white:father_degree:married:children 5.19
conservative:income:age:female:white:father_degree:married:children 18.35
conservative:income:educ:female:white:father_degree:married:children -226.34
conservative:age:educ:female:white:father_degree:married:children 24.08
income:age:educ:female:white:father_degree:married:children 0.02
conservative:income:age:educ:female:mother_degree:married:children -17.74
conservative:income:age:educ:white:mother_degree:married:children -4.22
conservative:income:age:female:white:mother_degree:married:children -409.94
conservative:income:educ:female:white:mother_degree:married:children -357.54
conservative:age:educ:female:white:mother_degree:married:children 309.05
income:age:educ:female:white:mother_degree:married:children -0.05
conservative:income:age:educ:father_degree:mother_degree:married:children 2.08
conservative:income:age:female:father_degree:mother_degree:married:children -379.53
conservative:income:educ:female:father_degree:mother_degree:married:children -280.63
conservative:age:educ:female:father_degree:mother_degree:married:children 304.72
income:age:educ:female:father_degree:mother_degree:married:children 0.07
conservative:income:age:white:father_degree:mother_degree:married:children 42.10
conservative:income:educ:white:father_degree:mother_degree:married:children -155.23
conservative:age:educ:white:father_degree:mother_degree:married:children 125.11
income:age:educ:white:father_degree:mother_degree:married:children 0.03
conservative:income:female:white:father_degree:mother_degree:married:children -79.67
conservative:age:female:white:father_degree:mother_degree:married:children -24.36
income:age:female:white:father_degree:mother_degree:married:children 1.08
conservative:educ:female:white:father_degree:mother_degree:married:children  
income:educ:female:white:father_degree:mother_degree:married:children 1.73
age:educ:female:white:father_degree:mother_degree:married:children 0.30
conservative:income:age:educ:female:white:father_degree:mother_degree:married 57.05
conservative:income:age:educ:female:white:father_degree:mother_degree:children 2.99
conservative:income:age:educ:female:white:father_degree:married:children 0.75
conservative:income:age:educ:female:white:mother_degree:married:children 17.93
conservative:income:age:educ:female:father_degree:mother_degree:married:children 14.05
conservative:income:age:educ:white:father_degree:mother_degree:married:children -2.07
conservative:income:age:female:white:father_degree:mother_degree:married:children 380.68
conservative:income:educ:female:white:father_degree:mother_degree:married:children 286.19
conservative:age:educ:female:white:father_degree:mother_degree:married:children -303.03
income:age:educ:female:white:father_degree:mother_degree:married:children -0.06
conservative:income:age:educ:female:white:father_degree:mother_degree:married:children -14.12
R2 0.53
Adj. R2 0.33
Num. obs. 3309
RMSE 29.25
***p < 0.001; **p < 0.01; *p < 0.05


3 ML approach

Fit causal forest (or any other ML algorithm) to get the conditional average treatment effect (CATE) for every person.

# Build X by dropping outcome, treatment
X <- 
  df_2024 %>%
  select(-trump_rating, -conservative) %>% 
  as.data.frame()

Y <- df_2024$trump_rating
W <- df_2024$conservative

# 3. Fit the causal forest
cf <- causal_forest(
  X, Y, W,
  num.trees          = 4000,    # more trees → stability
  # min.node.size      = 5,       # control tree depth
  honesty            = TRUE,    # honest splitting
  seed               = 27011990 # reproducibility
)

3.1 Average treatment effect

average_treatment_effect(cf)
## estimate  std.err 
## 33.25175  1.20609

3.2 RATE

We use RATE to assess if there is any heterogenenity in this effect at all:

# Split data to avoid using the same data for training and evaluation
n <- nrow(df_2024)

train <- sample(1:n, n / 2)
train.forest <- causal_forest(X[train, ], Y[train], W[train])
eval.forest <- causal_forest(X[-train, ], Y[-train], W[-train])

# Get CATE predictions for the evaluation set, based on the training forest
cate_estimates_for_eval <- predict(train.forest, X[-train, ])$predictions

# Calculate the AUTOC
rate <- rank_average_treatment_effect(eval.forest, cate_estimates_for_eval)

# Plot the targeting curve
plot(rate, main="Targeting Operator Characteristic Curve")

# Print the AUTOC estimate and its confidence interval
print(paste("AUTOC:", round(rate$estimate, 2), "+/-", round(1.96 * rate$std.err, 2)))
## [1] "AUTOC: 10.91 +/- 3.43"
rate
##  estimate  std.err             target
##  10.90516 1.749135 priorities | AUTOC

Strong heterogeneity exists.

3.3 Split by quintiles

# Turn predictions into a tibble and define quintiles
df_cate <- 
  tibble(
    treatment_effect = cf$predictions
  ) %>%
  mutate(
    quintile = ntile(treatment_effect, 5)                    # 1–5 based on distribution
  )

# Plot histogram, filling by quintile
ggplot(df_cate, aes(x = treatment_effect, fill = factor(quintile))) +
  geom_histogram(
    color = "white",
    bins  = 30          # adjusted
  ) +
  scale_fill_brewer(
    palette = "Spectral", 
    name    = "Quintile\n(1 = lowest, 5 = highest)"
  ) +
  geom_vline(xintercept = 33.25, linetype = "dashed") +
  theme_bw() +
  theme(legend.position = "bottom") +
  labs(
    x = "Individual Treatment Effect",
    y = "Count",
    title = "Distribution of effects by Quintile"
  )

ggplot(df_cate, aes(x = factor(quintile), y = treatment_effect)) +
  geom_boxplot() +
  theme_bw()

3.4 Most important covariates

varimp <- variable_importance(cf)
ranked.vars <- order(varimp, decreasing = TRUE)

colnames(X)[ranked.vars] %>% as_tibble_col(column_name = "covariate_importance")

3.5 Covariate heatmap

bind_cols(df_2024, df_cate) %>% 
  group_by(quintile) %>% 
  summarise_at(
    vars(colnames(X)[ranked.vars]),
    ~ mean(., na.rm = T),
  ) %>%
  mutate_at(vars(-quintile), ~ scale(.) %>% as.vector) %>%
  pivot_longer(-quintile, names_to = "variable", values_to = "value") %>%
  mutate(variable = factor(variable, levels = colnames(X)[ranked.vars])) %>%
  ggplot(aes(x = variable, y = factor(quintile), fill = value)) +
  geom_tile(color = "white") +
  scale_fill_gradient(low = "red", high = "green") +
  labs(x = "Variable", y = "Quintile", fill = "Mean value") +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 45, hjust = 1))

3.6 Explainability

If the world was really “linear”, what would your estimates look like? We can compare this with combined model from the previous section.

best_linear_projection(cf, X[ranked.vars]) %>% 
  knitreg(include.ci = F, omit.coef = "(Intercept)", custom.model.names = c("Linear Projection"), digits = 3)
Statistical models
  Linear Projection
educ 2.066***
  (0.472)
white 16.743***
  (3.012)
income 0.869***
  (0.248)
age 0.323***
  (0.073)
children -1.536
  (0.817)
father_degree 0.697
  (1.151)
mother_degree 0.471
  (1.253)
born_us 3.702
  (3.818)
female -1.407
  (2.388)
married 0.138
  (2.675)
***p < 0.001; **p < 0.01; *p < 0.05