When I posted last week on the correlation between the population hate group numbers and Trump’s % of the vote, one friend on Facebook asked whether the result would hold up if third variables such as poverty and education were added to the model. The figure below shows the association from last week, I thought I would take a look at what would happen if I added educational attainment in each state (defined as the % of the population with a bachelor’s degree or higher) and % of the states population in poverty were added to the regression model. This is done to see whether these variables can account for the relationship between hate groups and Trump’s % of the vote.
When poverty and education are both added to the model with hate group rate as predictors and Trump’s % of the vote as an outcome, the rate of hate groups is still a significant predictor of Trump’s vote. However because the % of poverty in a state and the corresponding % of the state’s population with a bachelor’s degree or more are highly correlated with each other, the regression coefficients became nonsensical so the other two predictor variables must be considered in the presence of the hate group rate in separate models. This problem is called multicollinearity by statisticians.
When education is added to the model with hate groups as a predictor, both variables are statistically significant with 58.2% of the total variability in Trump’s vote accounted for. The model with hate groups only as a predictor accounted for 20.1% of the variability which means that the % achieving a bachelors degree or higher in the state accounts for an additional 38.1%. This means that educational attainment is a stronger effect than the concentration of hate groups. The fact that the concentration of hate groups is still significant when education is added means that we can rule out education as an alternative explanation. The regression equation is:
|
State Name
|
Hate groups 2016
|
Pop 2016
|
Hate groups per
million ’16 |
% bachelors degree or
higher |
% in poverty
|
Trump %
|
|
US
|
917
|
323,127,513
|
2.84
|
29.8
|
14.7
|
46.7
|
|
Alabama
|
27
|
4,863,300
|
5.55
|
15.4
|
18.5
|
62.9
|
|
Alaska
|
0
|
741,894
|
0.00
|
29.7
|
10.4
|
52.9
|
|
Arizona
|
18
|
6,931,071
|
2.60
|
27.7
|
17.4
|
49.5
|
|
Arkansas
|
16
|
2,988,248
|
5.35
|
21.8
|
18.7
|
60.4
|
|
California
|
79
|
39,250,017
|
2.01
|
32.3
|
15.4
|
32.7
|
|
Colorado
|
16
|
5,540,545
|
2.89
|
39.2
|
11.5
|
44.4
|
|
Connecticut
|
5
|
3,576,452
|
1.40
|
38.3
|
10.6
|
41.2
|
|
Delaware
|
4
|
952,065
|
4.20
|
30.9
|
12.6
|
41.9
|
|
District of Columbia
|
21
|
681,170
|
30.83
|
56.7
|
17.7
|
4.1
|
|
Florida
|
63
|
20,612,439
|
3.06
|
28.4
|
15.8
|
49.1
|
|
Georgia
|
32
|
10,310,371
|
3.10
|
29.9
|
17.2
|
51.3
|
|
Hawaii
|
0
|
1,428,557
|
0.00
|
31.4
|
10.7
|
30
|
|
Idaho
|
12
|
1,683,140
|
7.13
|
26.0
|
14.7
|
59.2
|
|
Illinois
|
32
|
12,801,539
|
2.50
|
32.9
|
13.6
|
39.4
|
|
Indiana
|
26
|
6,633,053
|
3.92
|
24.9
|
14.4
|
57.2
|
|
Iowa
|
4
|
3,134,693
|
1.28
|
26.8
|
12.1
|
51.8
|
|
Kansas
|
7
|
2,907,289
|
2.41
|
31.7
|
12.9
|
57.2
|
|
Kentucky
|
23
|
4,436,974
|
5.18
|
23.3
|
18.3
|
62.5
|
|
Louisiana
|
14
|
4,681,666
|
2.99
|
23.2
|
19.5
|
58.1
|
|
Maine
|
3
|
1,331,479
|
2.25
|
30.1
|
13.2
|
45.2
|
|
Maryland
|
18
|
6,016,447
|
2.99
|
38.8
|
9.9
|
35.3
|
|
Massachusetts
|
12
|
6,811,779
|
1.76
|
41.5
|
11.5
|
33.5
|
|
Michigan
|
28
|
9,928,300
|
2.82
|
27.8
|
15.7
|
47.6
|
|
Minnesota
|
10
|
5,519,952
|
1.81
|
34.7
|
10.2
|
45.4
|
|
Mississippi
|
18
|
2,988,726
|
6.02
|
20.8
|
22.1
|
58.3
|
|
Missouri
|
24
|
6,093,000
|
3.94
|
27.8
|
14.8
|
57.1
|
|
Montana
|
10
|
1,042,520
|
9.59
|
30.6
|
14.4
|
56.5
|
|
Nebraska
|
5
|
1,907,116
|
2.62
|
30.2
|
12.2
|
60.3
|
|
Nevada
|
4
|
2,940,058
|
1.36
|
23.6
|
14.9
|
45.5
|
|
New Hampshire
|
6
|
1,334,795
|
4.50
|
35.7
|
8.4
|
47.2
|
|
New Jersey
|
15
|
8,944,469
|
1.68
|
37.6
|
10.8
|
41.8
|
|
New Mexico
|
2
|
2,081,015
|
0.96
|
26.5
|
19.8
|
40
|
|
New York
|
47
|
19,745,289
|
2.38
|
35.0
|
15.5
|
37.5
|
|
North Carolina
|
31
|
10,146,788
|
3.06
|
29.4
|
16.4
|
50.5
|
|
North Dakota
|
1
|
757,952
|
1.32
|
29.1
|
10.7
|
64.1
|
|
Ohio
|
35
|
11,614,373
|
3.01
|
26.8
|
14.8
|
52.1
|
|
Oklahoma
|
6
|
3,923,561
|
1.53
|
24.6
|
16
|
65.3
|
|
Oregon
|
11
|
4,093,465
|
2.69
|
32.2
|
15.2
|
41.1
|
|
Pennsylvania
|
40
|
12,784,227
|
3.13
|
29.7
|
13.1
|
48.8
|
|
Rhode Island
|
1
|
1,056,426
|
0.95
|
32.7
|
14.1
|
39.8
|
|
South Carolina
|
12
|
4,961,119
|
2.42
|
26.8
|
16.8
|
54.9
|
|
South Dakota
|
7
|
865,454
|
8.09
|
27.5
|
13.5
|
61.5
|
|
Tennessee
|
38
|
6,651,194
|
5.71
|
25.7
|
16.7
|
61.1
|
|
Texas
|
55
|
27,862,596
|
1.97
|
28.4
|
15.9
|
52.6
|
|
Utah
|
3
|
3,051,217
|
0.98
|
31.8
|
11.2
|
45.9
|
|
Vermont
|
1
|
624,594
|
1.60
|
36.9
|
10.4
|
32.6
|
|
Virginia
|
39
|
8,411,808
|
4.64
|
37.0
|
11.2
|
45
|
|
Washington
|
21
|
7,288,000
|
2.88
|
34.2
|
12.2
|
38.2
|
|
West Virginia
|
4
|
1,831,102
|
2.18
|
19.6
|
18
|
68.7
|
|
Wisconsin
|
9
|
5,778,708
|
1.56
|
28.4
|
12.1
|
47.9
|
|
Wyoming
|
2
|
585,501
|
3.42
|
26.2
|
10.6
|
70.1
|
**Related Posts**
2016 Hate Group Concentration Predicts Trump % of the Vote
Concentration of Hate Groups Predict Hate Crimes (if you consider DC) and Trump Vote (if you don’t)


