Appendix:

Cut off points for each variable in tables 3 and 4 were as follows (where “C” stands for category, “Q” for quintile, “L” for lower bound, and “U” for upper bound)

Q1Q2Q3Q4Q5
L, UareaL, UL, UL, UL, UL, U
*Note: for MA BG and RI BG, the referent group is C3, since C1 and C2 are empty. †Note: for % poverty, C5–C7 is effectively <20%; for % expensive homes, C1 and C3 are effectively <10%.
Single variable
Working class (categorical; %)C1:(0.0, 49.9)
C2:(50.0, 65.9)
C3:(66.0, 74.9)
C4:(75.0, 100.0)
Unemployed (quintile; %)MA BG(0.0, 2.9)(3.0, 4.9)(5.0, 7.0)(7.1, 10.2)(10.3, 100)
MA CT(0.0, 4.2)(4.3, 5.6)(5.7, 6.9)(7.0, 9.4)(9.5, 100)
MA ZC(0.0, 4.3)(4.4, 5.2)(5.3, 6.3)(6.4, 7.6)(7.7, 25.3)
RI BG(0.0, 3.0)(3.1, 5.1)(5.2, 7.1)(7.2, 10.1)(10.2, 56.8)
RI CT(0.0, 4.5)(4.6, 5.6)(5.7, 6.9)(7.0, 9.3)(9.4, 22.8)
RI ZC(0.0, 4.4)(4.5, 5.3)(5.4, 6.3)(6.4, 7.8)(7.9, 13.5)
Median household income (quintile; $)MA BG(4,999, 26,110)(26,111, 33,749)(33,750, 40,798)(40,799, 49,903)(49,904, 150,001)
MA CT(4,999, 26,471)(26,472, 33,162)(33,163, 39,286)(39,287, 47,124)(47,125, 102,797)
MA ZC(9,762, 30,624)(30,625, 36,246)(36,247, 41,396)(41,397, 48,841)(48,842, 94,898)
RI BG(4,999, 22,088)(22,089, 30,293)(30,294, 35,567)(35,568, 41,204)(41,205, 150,001)
RI CT(6,462, 23,667)(23,668, 31,032)(31,033, 35,300)(35,301, 40,606)(40,607, 78,666)
RI ZC(8,787, 29,548)(29,549, 33,614)(33,615, 36,921)(36,922, 41,356)(41,357, 60,705)
Poverty (categorical; %)C1:(0.0, 4.9)
C2:(5.0, 9.9)
C3:(10.0, 19.9)
C4:(20.0, 100.0)
Gini (quintile)MA BG(0.009, 0.314)(0.315, 0.350)(0.351, 0.379)(0.380, 0.421)(0.422, 0.688)
MA CT(0.009, 0.348)(0.349, 0.371)(0.372, 0.395)(0.396, 0.428)(0.429, 0.650)
MA ZC(0.208, 0.344)(0.345, 0.369)(0.370, 0.387)(0.388, 0.414)(0.415, 0.614)
RI BG(0.014, 0.318)(0.319, 0.351)(0.352, 0.381)(0.382, 0.422)(0.423, 0.650)
RI CT(0.050, 0.349)(0.350, 0.373)(0.374, 0.395)(0.396, 0.426)(0.427, 0.595)
RI ZC(0.186, 0.352)(0.353, 0.364)(0.365, 0.394)(0.395, 0.417)(0.418, 0.551)
Wealth (categorical; %)C1:(0.0, 4.9)
C2:(5.0, 9.9)
C3:(10.0, 19.9)
C4:(20.0, 100.0)
Crowding* (quintile; %)MA BG(0.0, 0.0)(0.0, 0.0)(0.0, 1.4)(1.5, 3.8)(3.9, 60.9)
MA CT(0.0, 0.4)(0.5, 0.9)(1.0, 1.7)(1.8, 3.7)(3.8, 42.0)
MA ZC(0.0, 0.3)(0.4, 0.8)(0.9, 1.3)(1.4, 2.2)(2.3, 29.7)
RI BG(0.0, 0.0)(0.0, 0.0)(0.0, 1.5)(1.6, 3.8)(3.8, 62.5)
RI CT(0.0, 0.4)(0.5, 0.9)(1.0, 1.6)(1.7, 3.0)(3.1, 27.7)
RI ZC(0.0, 0.4)(0.5, 0.9)(1.0, 1.2)(1.3, 2.2)(2.3, 15.3)
Low education (categorical; %)C1:(0.0, 14.9)
C2:(15.0, 24.9)
C3(25.0, 39.9)
C4:(40.0, 100.0)
High education (categorical; %)C1:(0.0, 14.9)
C2:(15.0, 24.9)
C3:(25.0, 39.9)
C4:(40.0, 100.0)
Composite variable
Townsend index (quintile)MA BG(−5.531, −2.468)(−2.467, −1.331)(−1.330, 0.094)(0.095, 2.425)(2.426, 11.804)
MA CT(−8.123, −2.797)(−2.796, −1.596)(−1.595, −0.051)(−0.050, 2.860)(2.861, 11.223)
MA ZC(−7.864, −2.388)(−2.387, −1.411)(−1.410, −0.165)(−0.164, 1.645)(1.646, 13.626)
RI BG(−5.811, −2.410)(−2.409, −1.250)(−1.249, 0.162)(0.163, 2.293)(2.294, 9.832)
RI CT(−5.572, −2.595)(−2.594, −1.502)(−1.501, −0.078)(−0.077, 2.793)(2.794, 9.103)
RI ZC(−8.003, −1.905)(−1.904, −0.929)(−0.928, −0.246)(−0.245, 2.301)(2.302, 10.060)
Index of Local Economic Resources (quintile)MA BG(0, 6)(7, 11)(12, 15)(16, 20)(21, 27)
MA CT(0, 5)(6, 10)(11, 15)(16, 19)(20, 26)
MA ZC(0, 8)(9, 12)(13, 15)(16, 19)(20, 26)
RI BG(0, 4)(5, 8)(9, 12)(13, 17)(18, 27)
RI CT(0, 4)(5, 8)(9, 12)(13, 16)(17, 26)
RI ZC(0, 8)(9, 10)(11, 13)(14, 15)(16, 27)
Factor 1 (quintile)MA BG(−1.861, −0.980)(−0.979, −0.370)(−0.369, 0.288)(0.289, 0.971)(0.972, 2.110)
MA CT(−1.878, −0.995)(−0.994, −0.358)(−0.357, 0.313)(0.314, 1.022)(1.203, 1.854)
MA ZC(−1.691, −0.857)(−0.856, −0.395)(−0.394, 0.058)(0.059, 0.806)(0.807, 2.538)
RI BG(−1.831, −0.936)(−0.935, −0.398)(−0.397, 0.296)(0.297, 0.984)(0.985, 1.916)
RI CT(−2.084, −0.890)(−0.889, −0.313)(−0.312, 0.241)(0.242, 1.027)(1.028, 1.851)
RI ZC(−1.937, −0.713)(−0.712, −0.293)(−0.292, 0.152)(0.153, 0.683)(0.684, 2.324)
Factor 2 (quintile)MA BG(−1.831, −0.975)(−0.974, −0.334)(−0.333, 0.308)(0.309, 0.980)(0.981, 1.921)
MA CT(−1.847, −1.004)(−1.003, −0.238)(−0.327, 0.308)(0.309, 1.013)(1.014, 1.874)
MA ZC(−1.869, −0.996)(−0.995, −0.363)(−0.362, 0.261)(0.262, 0.939)(0.940, 2.234)
RI BG(−2.264, −0.978)(−0.977, −0.214)(−0.213, 0.470)(0.471, 0.963)(0.964, 1.528)
RI CT(−2.243, −1.082)(−1.081, −0.195)(−0.194, 0.448)(0.449, 0.990)(0.991, 1.557)
RI ZC(−2.223, −0.886)(−0.885, −0.100)(−0.099, 0.348)(0.349, 0.810)(0.811, 2.070)
SEP index (quintile)MA BG(−16.524, −2.975)(−2.974, −1.099)(−1.098, 0.479)(0.480, 2.701)(2.702, 22.208)
MA CT(−13.768, −3.265)(−3.264, −1.153)(−1.152, 0.396)(0.397, 3.006)(3.007, 20.605)
MA ZC(−14.165, −3.122)(−3.121, −0.956)(−0.955, 0.794)(0.795, 2.744)(2.745, 18.943)
RI BG(−16.457, −3.001)(−3.000, −1.282)(−1.281, 0.630)(0.631, 2.966)(2.967, 17.356)
RI CT(−15.883, −3.452)(−3.451, −1.684)(−1.683, 0.388)(0.389, 3.767)(3.768, 12.140)
RI ZC(−8.976, −3.221)(−3.220, −1.079)(−1.078, 0.511)(0.512, 2.834)(2.835, 13.497)
% < poverty†% working class% expensive homes†
SEP1 (categorical)C1:≥20%≥75%{any value}
C2:≥20%51–74%<10%
C3:<20%≥75%{any value}
C4:<20%51–74%<10%
C5:{any value}<50%<10%
C6:{any value}51–74%≥10%
C7:{any value}<50%≥10%