Figure B.1

Figure B.2

Figure B.3

Figure B.4

Triple differences, ISO Model and ISO×S¯ ISO \times \bar S Model, Earnings Results
| Dependent variable: log earning | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| ISO | −0.217 (0.469) | −0.233 (0.436) | −0.156 (0.417) | 0.438 (1.721) | −0.498 (1.599) | −0.582 (1.556) |
|
| - | - | - | −0.039 (0.187) | 0.059 (0.175) | 0.061 (0.170) |
|
| - | - | - | 0.055*** (0.013) | 0.049*** (0.012) | 0.023* (0.012) |
| S | - | - | 0.028*** (0.002) | - | - | 0.028*** (0.002) |
| +characteristic control | No | Yes | Yes | No | Yes | Yes |
| F-test | - | - | - | 0.04 | 0.06 | 0.07 |
| P-value | - | - | - | 0.960 | 0.943 | 0.933 |
| N | 102,475 | |||||
Robustness Test, Triple Differences and Triple Interactions Model (Centered), Employment Results
| Dependent variable: if employed, =1 | ||||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Male | Female | Arrived at the U.S. after age 21 or later | Arrived at the U.S. after age 23 or later | |
| ISO | 0.134 (0.304) | −0.346 (0.464) | −0.119 (0.280) | −0.133 (0.332) |
| ISO × S | −0.004 (0.016) | −0.001 (0.029) | 0.039** (0.018) | 0.030 (0.019) |
|
| 0.038 (0.065) | 0.006 (0.113) | 0.013 (0.069) | 0.115 (0.077) |
|
| 0.034 (0.046) | 0.068 (0.057) | 0.036 (0.051) | 0.029 (0.065) |
|
| 0.001 (0.004) | −0.001 (0.007) | 0.009** (0.004) | 0.007 (0.005) |
|
| 0.001*** (0.000) | −0.001 (0.000) | 0.001** (0.000) | 0.000 (0.000) |
|
| −0.005 (0.005) | −0.007 (0.009) | −0.009 (0.006) | −0.011 (0.007) |
| S | 0.005*** (0.001) | 0.004*** (0.001) | 0.005*** (0.001) | 0.005*** (0.001) |
| F-test | 0.67 | 0.62 | 1.41 | 2.09 |
| P-value | 0.647 | 0.686 | 0.219 | 0.063 |
| N | 83,164 | 42,838 | 65,149 | 40,642 |
Mechanisms and Heterogeneity Tests, Employment Results
| Dependent variable: if employed, =1 | |||
|---|---|---|---|
| Baseline | English insufficiency | Years in the U.S. | |
| ISO | −0.018 (0.249) | −0.028 (0.249) | 0.024 (0.251) |
| ISO × S | 0.001 (0.018) | −0.000 (0.018) | −0.001 (0.018) |
|
| 0.025 (0.056) | 0.031 (0.056) | 0.027 (0.056) |
|
| 0.042 (0.037) | 0.042 (0.037) | 0.043 (0.038) |
|
| 0.002 (0.004) | 0.001 (0.004) | 0.001 (0.004) |
| ISO × insufEng | - | 0.045 (0.043) | - |
| insufEng | - | −0.021*** (0.004) | - |
| ISO × Years in US | - | - | −0.006 (0.007) |
| Years in US | - | - | 0.003*** (0.001) |
| F-test | 0.68 | 0.65 | 0.57 |
| P-value | 0.635 | 0.664 | 0.721 |
| N | 127,769 | ||
Cutler et al_ (2008) Model, Earning Results
| Dependent Var: log earning | ISO Model | ISO,
| ||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |||
| OLS+FE | IV | OLS+FE | IV | |||
| ISO | ISO | ISO |
| ISO |
| |
| Cutler et al. (2007) | 0.250 (0.512) | 2.963** (1.525) | 2.965* (1.600) | −0.331* (0.183) | −14.021*** (5.212) | 1.637*** (0.568) |
| N | 22,564 | 22,564 | 22,564 | 22,564 | ||
| 2000, 60 groups (age 20–30) | −0.280** (0.142) | 1.557 (0.971) | −2.034 (5.157) | 0.229 (0.356) | −3.977 (3.118) | 0.361 (0.221) |
| N | 97,861 | |||||
| 2010, 74 groups (age 20–30) | 0.256* (0.143) | 1.048 (0.703) | −0.425 (0.547) | 0.062 (0.049) | 5.618 (8.350) | −0.319 (0.596) |
| N | 98,672 | |||||
| 2000, 60 groups (age 20–30, arrived after age 17) | −0.361* (0.187) | −0.308 (1.667) | 1.300* (0.723) | −0.162** (0.067) | 132.097 (4536.585) | −8.553 (293.454) |
| N | 53,690 | |||||
| 2010, 74 groups (age 20–30, arrived after age 17) | 0.304 (0.203) | −0.277 (0.988) | 0.051 (0.767) | 0.023 (0.070) | 36.310 (105.392) | −2.641 (7.558) |
| N | 51,994 | |||||
Additional Robustness Tests Results
| Dependent variable: log earning | ||||||
|---|---|---|---|---|---|---|
| Baseline | Drop blacks | Drop English speakers | ||||
| ISO | 0.415 (0.847) | 0.327 (0.837) | 0.656 (0.863) | 0.558 (0.852) | 1.401 (0.904) | 1.324 (0.893) |
| ISO × S | −0.160* (0.083) | −0.216** (0.096) | −0.174** (0.087) | −0.235** (0.103) | −0.178** (0.086) | −0.227** (0.098) |
|
| 0.117 (0.169) | 0.098 (0.168) | 0.147 (0.171) | 0.127 (0.170) | 0.359** (0.176) | 0.344** (0.174) |
|
| −0.036* (0.018) | - | −0.039** (0.019) | - | −0.041** (0.019) | - |
|
| - | 0.505*** (0.138) | - | 0.546*** (0.142) | - | 0.511*** (0.143) |
|
| - | −0.048** (0.021) | - | −0.052** (0.022) | - | −0.051** (0.022) |
| F-test | 1.10 | 3.09 | 1.24 | 3.39 | 2.32 | 4.03 |
| P-value | 0.354 | 0.009 | 0.293 | 0.005 | 0.055 | 0.001 |
| N | 102,475 | 99,939 | 93,251 | |||
Mechanisms and Heterogeneity Tests, Earning Results
| Dependent variable: log earning | |||
|---|---|---|---|
| Baseline | English insufficiency | Years in the U.S. | |
| ISO | 0.327 (0.837) | 0.320 (0.843) | 0.673 (0.809) |
| ISO × S | −0.216** (0.096) | −0.247*** (0.090) | −0.244*** (0.094) |
|
| 0.098 (0.168) | 0.132 (0.171) | 0.115 (0.164) |
|
| 0.505*** (0.138) | 0.516*** (0.139) | 0.544*** (0.141) |
|
| −0.048** (0.021) | −0.056*** (0.020) | −0.057*** (0.021) |
| insufEng | −0.183*** (0.012) | - | |
| ISO × insufEng | - | 0.046 (0.131) | - |
| Years in US | - | 0.037*** (0.002) | |
| ISO × Years in US | - | - | −0.041** (0.017) |
| F-test | 3.09 | 3.69 | 3.85 |
| P-value | 0.009 | 0.003 | 0.002 |
| N | 102,475 | ||
Balancing Tests, Triple Differences Model
| Dependent Variable: Isolation Index × 1000 | ||
|---|---|---|
| (1) | (2) | |
| Education | −0.007 (0.007) | 0.042 (0.060) |
| Age | −0.006 (0.006) | 0.014 (0.021) |
| Male | 0.053 (0.042) | 0.144 (0.127) |
| Black | −0.285 (0.313) | −0.000 (0.870) |
| Other Nonwhite | 0.088 (0.215) | −0.026 (0.395) |
| Age × Education | - | −0.002 (0.002) |
| Male × Education | - | −0.008 (0.011) |
| Black × Education | - | −0.022 (0.060) |
| Other Nonwhite × Education | - | 0.009 (0.027) |
| F-test | 1.05 | 0.45 |
| P-value | 0.385 | 0.771 |
| N | 102,475 | |
Balancing Tests, MSA and Group Fixed Effects vs_ Triple Differences Model
| Panel 1. Dependent Variable: Isolation Index × 1000 | ||||
|---|---|---|---|---|
| MSA FE, Group FE | Triple Differences | |||
| Education | −0.607*** (0.108) | −0.171 (0.449) | −0.007 (0.007) | 0.042 (0.060) |
| Age | 0.006 (0.061) | 0.402** (0.196) | −0.006 (0.006) | 0.014 (0.021) |
| Male | −0.637** (0.290) | −3.671*** (1.239) | 0.053 (0.042) | 0.144 (0.127) |
| Black | 1.682 (1.793) | 1.804 (5.049) | −0.285 (0.313) | −0.000 (0.870) |
| Other Nonwhite | 0.506 (1.047) | −4.596 (3.064) | 0.088 (0.215) | −0.026 (0.395) |
| Age × Education | - | −0.038** (0.017) | - | −0.002 (0.002) |
| Male × Education | - | 0.262** (0.109) | - | −0.008 (0.011) |
| Black × Education | −0.028 (0.342) | - | −0.022 (0.060) | |
| Other Nonwhite × Education | - | 0.392* (0.210) | - | 0.009 (0.027) |
| F-test | 7.76 | 6.26 | 1.05 | 0.45 |
| P-value | 0.000 | 0.000 | 0.385 | 0.771 |
| N | 104,555 | 102,475 | ||
Balancing Tests for Isolation Index and Cutler et al_ (2007) Instrument Variable
| Dependent Variable: | Isolation Index × 1000 | Mean Years of Immigrant Group g in MSA s since immigration | ||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| 2000 | 2010 | 2000 | 2010 | |
| Education | −0.663*** (0.137) | −0.466*** (0.110) | 0.002 (0.005) | 0.007 (0.005) |
| Age | −0.037 (0.056) | 0.072 (0.046) | 0.020*** (0.005) | 0.021*** (0.004) |
| Male | −0.518 (0.343) | −0.315 (0.357) | −0.103*** (0.029) | −0.157*** (0.031) |
| Black | 1.573 (2.385) | −1.077 (2.571) | −0.113 (0.270) | −0.209 (0.355) |
| Other Nonwhite | −1.177 (1.325) | 1.382 (1.497) | −0.370** (0.157) | −0.530** (0.197) |
| F-test | 6.48 | 4.07 | 6.71 | 10.53 |
| P-value | 0.000 | 0.001 | 0.000 | 0.000 |
| N | 53,690 | 51,994 | 53,690 | 51,994 |
Triple differences, ISO Model and ISO×S¯ ISO \times \bar S Model, Employment Results
| Dependent variable: if employed, =1 | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| ISO | −0.106 (0.151) | −0.109 (0.152) | −0.092 (0.153) | 0.014 (0.514) | −0.061 (0.512) | −0.068 (0.512) |
|
| - | - | - | −0.014 (0.050) | −0.006 (0.050) | −0.005 (0.050) |
|
| - | - | - | −0.001 (0.005) | −0.001 (0.005) | −0.004 (0.005) |
| S | - | - | 0.003*** (0.000) | - | - | 0.003*** (0.000) |
| +characteristic control | No | Yes | Yes | No | Yes | Yes |
| +individual education control | No | No | Yes | No | No | Yes |
| F-test | - | - | - | 0.37 | 0.31 | 0.31 |
| P-value | - | - | - | 0.690 | 0.736 | 0.736 |
| N | 127,769 | |||||
Triple Differences and Triple Interactions Model (Centered), Earnings Results
| Dependent variable: log earning | ||||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| ISO | −0.136 (0.414) | 0.375 (0.846) | 0.415 (0.847) | 0.327 (0.837) |
| ISO × S | −0.174*** (0.021) | −0.029 (0.023) | −0.160* (0.083) | −0.216** (0.096) |
|
| - | 0.109 (0.169) | 0.117 (0.169) | 0.098 (0.168) |
|
| - | - | −0.036* (0.184) | - |
|
| - | - | - | 0.505*** (0.138) |
|
| - | - | - | −0.048** (0.021) |
|
| - | 0.010*** (0.001) | 0.011*** (0.001) | 0.011*** (0.001) |
|
| - | 0.007 (0.012) | 0.006 (0.012) | 0.007 (0.012) |
| S | 0.040*** (0.002) | 0.063*** (0.002) | 0.066*** (0.002) | 0.065*** (0.002) |
| F-test | 33.97 | 0.69 | 1.10 | 3.09 |
| P-value | 0.000 | 0.559 | 0.354 | 0.009 |
| N | 102,475 | |||
Discrete Education Measure, Triple differences, ISO Model and ISO×S¯ ISO \times \bar S Model
| Dependent variable: if employed, =1 | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| ISO | −0.106 (0.151) | −0.109 (0.152) | −0.093 (0.151) | 0.300 (0.321) | 0.293 (0.320) | 0.279 (0.319) |
| ISO × %HS | - | - | - | −1.550* (0.906) | −1.540* (0.912) | −1.521* (0.909) |
| ISO × %Some_Coll | - | - | - | 1.136 (1.578) | 0.798 (1.621) | 0.856 (1.607) |
| ISO × %College | - | - | - | −0.136 (0.606) | 0.030 (0.607) | 0.064 (0.604) |
| %High School | - | - | - | 0.108** (0.049) | 0.110** (0.049) | 0.096** (0.049) |
| %Some College | - | - | - | 0.124** (0.052) | 0.135** (0.052) | 0.103** (0.052) |
| %College | - | - | - | 0.036 (0.046) | 0.035 (0.046) | −0.002 (0.047) |
| High School | - | - | 0.014*** (0.003) | - | - | 0.014*** (0.003) |
| Some College | - | - | 0.033*** (0.004) | - | - | 0.033*** (0.004) |
| College | - | - | 0.039*** (0.004) | - | - | 0.039*** (0.004) |
| +characteristic control | No | Yes | Yes | No | Yes | Yes |
| F-test | - | - | - | 1.01 | 1.01 | 1.03 |
| P-value | - | - | - | 0.402 | 0.400 | 0.388 |
| N | 127,769 | |||||
Discrete Education Measure, Triple Differences and Triple Interactions Model (Centered)
| Dependent variable: if employed, =1 | |||
|---|---|---|---|
| (1) | (2) | (3) | |
| ISO | −0.039 (0.153) | 0.218 (0.324) | 0.379 (0.337) |
| ISO × HS | −0.082* (0.048) | −0.050 (0.051) | −0.366* (0.221) |
| ISO × Some Coll | −0.083 (0.073) | −0.032 (0.079) | −0.374 (0.367) |
| ISO × College | −0.190*** (0.061) | −0.153** (0.073) | −0.549* (0.311) |
| ISO × %HS | - | −1.309 (0.950) | −1.949* (1.027) |
| ISO × %Some Coll | - | 0.928 (1.680) | 1.610 (1.985) |
| ISO × %Coll | - | 0.248 (0.602) | −0.256 (1.018) |
| ISO × %HS × HS | - | - | 1.328* (0.717) |
| ISO × %HS × Some Coll | - | - | 0.762 (1.146) |
| ISO × %HS × Coll | - | - | 0.850 (0.947) |
| ISO × %Some Coll × HS | - | - | −1.097 (1.066) |
| ISO × %Some Coll × Some Coll | - | - | 0.534 (1.742) |
| ISO × %Some Coll × Coll | - | - | −0.437 (1.572) |
| ISO × %Coll × HS | - | - | 0.132 (0.695) |
| ISO × %Coll × Some Coll | - | - | 0.104 (1.119) |
| ISO × %Coll × Coll | - | - | 0.104 (1.119) |
| %HS × HS | - | −0.010 (0.039) | −0.060 (0.050) |
| %HS × Some Coll | - | −0.014 (0.050) | −0.067 (0.059) |
| %HS × Coll | - | 0.020 (0.048) | −0.040 (0.058) |
| %Some Coll × HS | - | 0.018 (0.051) | 0.049 (0.062) |
| %Some Coll × Some Coll | - | 0.035 (0.056) | 0.028 (0.067) |
| %Some Coll × Coll | - | 0.044 (0.053) | 0.043 (0.063) |
| %Coll × HS | - | 0.046* (0.027) | 0.036 (0.031) |
| %Coll × Some Coll | - | 0.045 (0.032) | 0.027 (0.034) |
| %Coll × Coll | - | 0.052* (0.027) | 0.017 (0.034) |
| %HS | - | 0.073 (0.052) | 0.106* (0.056) |
| %Some Coll | - | 0.085 (0.066) | 0.068 (0.072) |
| %Coll | - | −0.050 (0.051) | −0.040 (0.052) |
| High School | 0.021*** (0.004) | 0.016 (0.015) | 0.029 (0.019) |
| Some College | 0.040*** (0.005) | 0.032 (0.021) | 0.054** (0.026) |
| College | 0.049*** (0.005) | 0.028 (0.021) | 0.058** (0.026) |
| F-test | 3.09 | 1.36 | 1.44 |
| P-value | 0.015 | 0.219 | 0.115 |
| N | 127,769 | ||
Robustness Tests, Triple Differences and Triple Interactions Model (Centered)
| Dependent variable: log earning | ||||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Male | Female | Arrived at the U.S. after age 21 or later | Arrived at the U.S. after age 23 or later | |
| ISO | −0.945 (1.146) | 1.962 (1.618) | −0.572 (1.001) | 0.294 (1.262) |
| ISO × S | −0.281*** (0.095) | −0.108 (0.082) | −0.179 (0.115) | −0.158 (0.129) |
|
| −0.124 (0.221) | 0.449 (0.329) | −0.187 (0.212) | 0.115 (0.281) |
|
| 0.554*** (0.156) | 0.439* (0.233) | 0.513*** (0.183) | 0.368* (0.222) |
|
| −0.060*** (0.021) | −0.035* (0.020) | −0.038 (0.025) | −0.033 (0.029) |
|
| 0.010*** (0.001) | 0.012*** (0.001) | 0.010*** (0.001) | 0.009*** (0.001) |
|
| −0.011 (0.015) | 0.014 (0.025) | −0.001 (0.019) | −0.010 (0.025) |
| S | 0.060*** (0.003) | 0.071*** (0.003) | 0.065*** (0.003) | 0.063*** (0.003) |
| F-test | 3.68 | 1.88 | 1.73 | 0.73 |
| P-value | 0.003 | 0.095 | 0.123 | 0.600 |
| N | 69,166 | 31,718 | 51,828 | 32,188 |
Balancing Tests with Assimilation Measures, Triple Differences Model
| Dependent Variable: Isolation Index × 1000 | ||
|---|---|---|
| (1) | (2) | |
| Education | −0.011 (0.007) | 0.017 (0.061) |
| Age | −0.002 (0.008) | 0.008 (0.023) |
| Male | 0.051 (0.042) | 0.142 (0.129) |
| Black | −0.278 (0.313) | −0.051 (0.867) |
| Other Nonwhite | 0.097 (0.215) | 0.023 (0.409) |
| English Insufficiency | −0.132*** (0.050) | −0.255* (0.154) |
| Years in the U.S. | −0.012 (0.008) | 0.007 (0.019) |
| Age × Education | - | −0.001 (0.002) |
| Male × Education | - | −0.008 (0.011) |
| Black × Education | - | −0.017 (0.060) |
| Other Nonwhite × Education | - | 0.006 (0.028) |
| English Insufficiency × Education | - | 0.012 (0.014) |
| Years in the U.S. × Education | - | −0.002 (0.002) |
| F-test | 1.73 | 0.064 |
| P-value | 0.097 | 0.695 |
| N | 102,475 | |
Descriptive Statistics
| Earning regression sample | Employment regression sample | |||||
|---|---|---|---|---|---|---|
| N | Mean | SD | N | Mean | SD | |
| Log earnings | 104,577 | 9.656 | 0.738 | - | - | - |
| Employment | - | - | - | 129,966 | 0.919 | 0.273 |
| Isolation index | 8,149 | 0.014 | 0.021 | 8,874 | 0.014 | 0.020 |
| Group average education | 8,149 | 13.136 | 2.241 | 8,874 | 13.153 | 2.241 |
| Immigrant share | 8,149 | 0.004 | 0.015 | 8,874 | 0.004 | 0.014 |
| Education | 104,577 | 11.023 | 4.170 | 129,966 | 10.922 | 4.218 |
| Age | 104,577 | 26.395 | 2.829 | 129,966 | 26.330 | 2.874 |
| Male | 104,577 | 0.680 | 0.467 | 129,966 | 0.655 | 0.475 |
| Married | 104,577 | 0.383 | 0.486 | 129,966 | 0.385 | 0.486 |
| Have children | 104,577 | 0.301 | 0.459 | 129,966 | 0.305 | 0.461 |
| White | 104,577 | 0.121 | 0.326 | 129,966 | 0.121 | 0.326 |
| Black | 104,577 | 0.025 | 0.157 | 129,966 | 0.026 | 0.159 |
| Asian | 104,577 | 0.182 | 0.386 | 129,966 | 0.176 | 0.381 |
| Hispanic | 104,577 | 0.672 | 0.469 | 129,966 | 0.677 | 0.468 |
Triple Differences and Triple Interactions Model (Centered), Employment Results
| Dependent variable: if employed, =1 | ||||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| ISO | −0.089 (0.153) | −0.009 (0.249) | −0.012 (0.249) | −0.018 (0.249) |
| ISO × S | −0.013** (0.005) | −0.005 (0.006) | 0.005 (0.017) | 0.001 (0.018) |
|
| - | 0.027 (0.056) | 0.026 (0.056) | 0.025 (0.056) |
|
| - | - | 0.003 (0.004) | - |
|
| - | - | - | 0.042 (0.037) |
|
| - | - | - | 0.002 (0.004) |
|
| - | 0.001*** (0.000) | 0.000** (0.000) | 0.000** (0.000) |
|
| - | −0.005 (0.004) | −0.005 (0.004) | −0.005 (0.004) |
| S | 0.004*** (0.000) | 0.005*** (0.001) | 0.005*** (0.001) | 0.005*** (0.001) |
| F-test | 2.97 | 0.49 | 0.57 | 0.68 |
| P-value | 0.052 | 0.687 | 0.686 | 0.635 |
| N | 127,769 | |||