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Ethnic Segregation and Immigrants’ Labor Market Outcomes: The Role of Education Cover

Ethnic Segregation and Immigrants’ Labor Market Outcomes: The Role of Education

By:  and    
Open Access
|Dec 2023

Figures & Tables

Table 1

Descriptive Statistics

Earning regression sampleEmployment regression sample
NMeanSDNMeanSD
Log earnings104,5779.6560.738---
Employment---129,9660.9190.273
Isolation index8,1490.0140.0218,8740.0140.020
Group average education8,14913.1362.2418,87413.1532.241
Immigrant share8,1490.0040.0158,8740.0040.014
Education104,57711.0234.170129,96610.9224.218
Age104,57726.3952.829129,96626.3302.874
  Male104,5770.6800.467129,9660.6550.475
  Married104,5770.3830.486129,9660.3850.486
Have children104,5770.3010.459129,9660.3050.461
  White104,5770.1210.326129,9660.1210.326
  Black104,5770.0250.157129,9660.0260.159
  Asian104,5770.1820.386129,9660.1760.381
  Hispanic104,5770.6720.469129,9660.6770.468
Table 2

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)
  Male0.053 (0.042)0.144 (0.127)
  Black−0.285 (0.313)−0.000 (0.870)
Other Nonwhite0.088 (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-test1.050.45
  P-value0.3850.771
  N102,475

[i] Notes: The isolation index is inflated by 1000. We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level. The values of F-statistic in column 1 are for the joint effect of all the individual characteristics that are included in the regressions. The values of F-statistic in column 2 are for the joint effect of all the interaction terms. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped.

[ii] Significance is defined as follows: ***p<0.01; **p<0.05; *p<0.10.

Table 3

Triple differences, ISO Model and ISO×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)
ISO×S¯ ---−0.039 (0.187)0.059 (0.175)0.061 (0.170)
S¯ ---0.055*** (0.013)0.049*** (0.012)0.023* (0.012)
S--0.028*** (0.002)--0.028*** (0.002)
+characteristic controlNoYesYesNoYesYes
  F-test---0.040.060.07
  P-value---0.9600.9430.933
  N102,475

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. We control for MSA-specific time trends, MSA-specific group effects, and group-specific time trends in all regressions. Characteristic controls include age, gender, marital status, children in the household, black, Asian, and Hispanic dummy variables. The values of F-statistic are for the joint effect of the isolation index and the interaction term between isolation index and group average education. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 4

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)
ISO×S¯ -0.109 (0.169)0.117 (0.169)0.098 (0.168)
ISO×S¯×S --−0.036* (0.184)-
ISO×S¯H×S ---0.505*** (0.138)
ISO×S¯L×S ---−0.048** (0.021)
S¯×S -0.010*** (0.001)0.011*** (0.001)0.011*** (0.001)
S¯ -0.007 (0.012)0.006 (0.012)0.007 (0.012)
S0.040*** (0.002)0.063*** (0.002)0.066*** (0.002)0.065*** (0.002)
  F-test33.970.691.103.09
  P-value0.0000.5590.3540.009
  N102,475

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt , and SigmtS¯gt , respectively. ISO×S¯H×S is equal to ISO×S¯×SifS¯ is greater than its MSA-year mean, and 0 otherwise. Similarly, ISO×S¯L×S is equal to ISO×S¯×SifS¯ is lower than its MSA-year mean, and 0 otherwise. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 5

Robustness Tests, Triple Differences and Triple Interactions Model (Centered)

Dependent variable: log earning
(1)(2)(3)(4)
MaleFemaleArrived at the U.S. after age 21 or laterArrived 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)
ISO×S¯ −0.124 (0.221)0.449 (0.329)−0.187 (0.212)0.115 (0.281)
ISO×S¯H×S 0.554*** (0.156)0.439* (0.233)0.513*** (0.183)0.368* (0.222)
ISO×S¯L×S −0.060*** (0.021)−0.035* (0.020)−0.038 (0.025)−0.033 (0.029)
S¯×S 0.010*** (0.001)0.012*** (0.001)0.010*** (0.001)0.009*** (0.001)
S¯ −0.011 (0.015)0.014 (0.025)−0.001 (0.019)−0.010 (0.025)
S0.060*** (0.003)0.071*** (0.003)0.065*** (0.003)0.063*** (0.003)
  F-test3.681.881.730.73
  P-value0.0030.0950.1230.600
  N69,16631,71851,82832,188

Notes: To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt , and SigmtS¯gt , respectively. Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10

Table 6

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)
Male0.051 (0.042)0.142 (0.129)
Black−0.278 (0.313)−0.051 (0.867)
Other Nonwhite0.097 (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-test1.730.064
  P-value0.0970.695
  N102,475

Notes: The isolation index is inflated by 1000. We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level. The values of F-statistic in column 1 are for the joint effect of all the individual characteristics that are included in the regressions. The values of F-statistic in column 2 are for the joint effect of all the interaction terms. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 7

Mechanisms and Heterogeneity Tests, Earning Results

Dependent variable: log earning
BaselineEnglish insufficiencyYears in the U.S.
ISO0.327 (0.837)0.320 (0.843)0.673 (0.809)
ISO × S−0.216** (0.096)−0.247*** (0.090)−0.244*** (0.094)
ISO×S¯ 0.098 (0.168)0.132 (0.171)0.115 (0.164)
ISO×S¯H×S 0.505*** (0.138)0.516*** (0.139)0.544*** (0.141)
ISO×S¯L×S −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-test3.093.693.85
  P-value0.0090.0030.002
  N102,475

Notes: To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt , and SigmtS¯gt , respectively. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 8

Triple differences, ISO Model and ISO×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)
ISO×S¯ ---−0.014 (0.050)−0.006 (0.050)−0.005 (0.050)
S¯ ---−0.001 (0.005)−0.001 (0.005)−0.004 (0.005)
S--0.003*** (0.000)--0.003*** (0.000)
+characteristic controlNoYesYesNoYesYes
+individual education controlNoNoYesNoNoYes
  F-test---0.370.310.31
  P-value---0.6900.7360.736
  N127,769

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. We control for MSA-specific time trends, MSA-specific group effects, and group-specific time trends in all regressions. Characteristic controls include age, gender, marital status, children in the household, black, Asian, and Hispanic dummy variables. The values of the F-statistic are for the joint effect of the isolation index and the interaction term between isolation index and group average education. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 9

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)
ISO×S¯ -0.027 (0.056)0.026 (0.056)0.025 (0.056)
ISO×S¯×S --0.003 (0.004)-
ISO×S¯H×S ---0.042 (0.037)
ISO×S¯L×S ---0.002 (0.004)
S¯×S -0.001*** (0.000)0.000** (0.000)0.000** (0.000)
S¯ -−0.005 (0.004)−0.005 (0.004)−0.005 (0.004)
S0.004*** (0.000)0.005*** (0.001)0.005*** (0.001)0.005*** (0.001)
  F-test2.970.490.570.68
  P-value0.0520.6870.6860.635
  N127,769

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt and SigmtS¯gt , respectively. ISO×S¯H×S is equal to ISO×S¯×SifS¯ is greater than its MSA-year mean, and 0 otherwise. Similarly, ISO×S¯L×S is equal to ISO×S¯×SifS¯ is lower than its MSA-year mean, and 0 otherwise. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 10

Robustness Test, Triple Differences and Triple Interactions Model (Centered), Employment Results

Dependent variable: if employed, =1
(1)(2)(3)(4)
MaleFemaleArrived at the U.S. after age 21 or laterArrived at the U.S. after age 23 or later
ISO0.134 (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)
ISO×S¯ 0.038 (0.065)0.006 (0.113)0.013 (0.069)0.115 (0.077)
ISO×S¯H×S 0.034 (0.046)0.068 (0.057)0.036 (0.051)0.029 (0.065)
ISO×S¯L×S 0.001 (0.004)−0.001 (0.007)0.009** (0.004)0.007 (0.005)
S¯×S 0.001*** (0.000)−0.001 (0.000)0.001** (0.000)0.000 (0.000)
S¯ −0.005 (0.005)−0.007 (0.009)−0.009 (0.006)−0.011 (0.007)
S0.005*** (0.001)0.004*** (0.001)0.005*** (0.001)0.005*** (0.001)
  F-test0.670.621.412.09
  P-value0.6470.6860.2190.063
  N83,16442,83865,14940,642

Notes: The sample used for robustness test is restricted to immigrants who arrived at the U.S. after age 21 or 23. To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt , and SigmtS¯gt , respectively. Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table 11

Mechanisms and Heterogeneity Tests, Employment Results

Dependent variable: if employed, =1
BaselineEnglish insufficiencyYears in the U.S.
ISO−0.018 (0.249)−0.028 (0.249)0.024 (0.251)
ISO × S0.001 (0.018)−0.000 (0.018)−0.001 (0.018)
ISO×S¯ 0.025 (0.056)0.031 (0.056)0.027 (0.056)
ISO×S¯H×S 0.042 (0.037)0.042 (0.037)0.043 (0.038)
ISO×S¯L×S 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-test0.680.650.57
  P-value0.6350.6640.721
  N127,769

Notes: To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt , and SigmtS¯gt , respectively. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.01.

Table A.1

Cutler et al. (2008) Model, Earning Results

Dependent Var: log earningISO ModelISO, ISO×S¯ Model
(1)(2)(3)(4)
OLS+FEIVOLS+FEIV
ISOISOISO ISO×S¯ ISO ISO×S¯
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)
N22,56422,56422,56422,564
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)
N97,861
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)
N98,672
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)
N53,690
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)
N51,994

Notes: We control for MSA and country of origin fixed effects in the OLS model. All the control variables are the same as models in Cutler et al. (2008). The instrumental variable used for IV estimation is mean years of ethnic group g in MSA s since immigration. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table A.2

Balancing Tests for Isolation Index and Cutler et al. (2007) Instrument Variable

Dependent Variable:Isolation Index × 1000Mean Years of Immigrant Group g in MSA s since immigration
(1)(2)(3)(4)
2000201020002010
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)
Black1.573 (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-test6.484.076.7110.53
  P-value0.0000.0010.0000.000
  N53,69051,99453,69051,994

Notes: Sample is restricted to immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. MSA and country of origin fixed effects are included in all the regressions. The isolation index is inflated by 1000. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level. The F-statistic is for the joint effect of all the individual characteristics that are included in the regressions.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table A.3

Balancing Tests, MSA and Group Fixed Effects vs. Triple Differences Model

Panel 1. Dependent Variable: Isolation Index × 1000
MSA FE, Group FETriple Differences
Education−0.607*** (0.108)−0.171 (0.449)−0.007 (0.007)0.042 (0.060)
Age0.006 (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)
Black1.682 (1.793)1.804 (5.049)−0.285 (0.313)−0.000 (0.870)
Other Nonwhite0.506 (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-test7.766.261.050.45
  P-value0.0000.0000.3850.771
  N104,555102,475
Panel 2. Dependent Variable: Mean Years of Immigrant Group g in MSA s since immigration
MSA FE, Group FETriple Differences
Education0.040*** (0.006)0.206*** (0.037)0.002** (0.001)−0.010 (0.009)
Age0.052*** (0.005)0.100*** (0.010)0.002** (0.001)−0.002 (0.002)
Male−0.155*** (0.028)0.074 (0.064)−0.006 (0.005)0.006 (0.013)
Black−0.022 (0.264)−0.534 (0.609)−0.002 (0.057)−0.107 (0.126)
Other Nonwhite−0.178 (0.141)0.228 (0.395)−0.012 (0.039)−0.028 (0.086)
Age × Education-−0.005*** (0.001)-0.000** (0.000)
Male × Education-−0.020*** (0.006)-−0.001 (0.001)
Black × Education-0.040 (0.043)-0.008 (0.008)
Other Nonwhite × Education-−0.031 (0.028)-0.001 (0.006)
  F-test39.8611.772.801.58
  P-value0.0000.0000.0160.178
  N104,555102,475

Notes: The isolation index is inflated by 1000. The sample is restricted to immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level. The values of F-statistic in column 1 and 3 are for the joint effect of all the individual characteristics that are included in the regressions. The values of F-statistic in column 2 and 4 are for the joint effect of all the interaction terms. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped in the triple differences model.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table A.4

Additional Robustness Tests Results

Dependent variable: log earning
BaselineDrop blacksDrop English speakers
ISO0.415 (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)
ISO×S¯ 0.117 (0.169)0.098 (0.168)0.147 (0.171)0.127 (0.170)0.359** (0.176)0.344** (0.174)
ISO×S¯×S −0.036* (0.018)-−0.039** (0.019)-−0.041** (0.019)-
ISO×S¯H×S -0.505*** (0.138)-0.546*** (0.142)-0.511*** (0.143)
ISO×S¯L×S -−0.048** (0.021)-−0.052** (0.022)-−0.051** (0.022)
  F-test1.103.091.243.392.324.03
  P-value0.3540.0090.2930.0050.0550.001
  N102,47599,93993,251
Dependent variable: if employed, =1
BaselineDrop blacksDrop English speakers
ISO−0.012 (0.249)−0.018 (0.249)−0.097 (0.247)−0.104 (0.247)0.023 (0.261)0.020 (0.261)
ISO × S0.005 (0.017)−0.001 (0.018)0.002 (0.017)−0.003 (0.018)0.007 (0.017)0.005 (0.017)
ISO×S¯ 0.026 (0.056)0.025 (0.056)0.015 (0.055)0.014 (0.055)0.039 (0.059)0.038 (0.059)
ISO×S¯×S 0.003 (0.004)-0.002 (0.004)-0.004 (0.004)-
ISO×S¯H×S -0.042 (0.037)-0.047 (0.038)-0.024 (0.034)
ISO×S¯L×S -0.002 (0.004)-0.001 (0.004)-0.003 (0.004)
  F-test0.570.680.590.740.760.69
  P-value0.6860.6350.6720.5900.5520.633
  N127,769124,480116,493

Notes: To center the variables, we replace ISOgmt, S¯gmt , and Sigmt by ISOgmtISO¯mt , S¯gmtS¯¯mt , and SigmtS¯gt , respectively. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for S¯×S . We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. Therefore, singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Figure B.1

Differences-in-Differences Trends, Method 1.

Figure B.2

Triple Differences Trends, Method 1.

Figure B.3

Differences-in-Differences Trends, Method 2.

Figure B.4

Triple Differences Trends, Method 2.

Table C.1

Discrete Education Measure, Triple differences, ISO Model and ISO×S¯ Model

Dependent variable: log earning
(1)(2)(3)(4)(5)(6)
ISO−0.217 (0.469)−0.233 (0.436)−0.136 (0.416)−1.074 (1.047)−1.044 (0.963)−1.142 (0.934)
ISO × %HS---3.608 (3.381)3.122 (3.084)3.181 (3.030)
ISO × %Some_Coll---2.358 (5.551)−0.283 (5.207)−0.780 (4.869)
ISO × %College---−0.040 (2.317)1.427 (2.190)2.001 (2.075)
%High School---−0.158 (0.130)−0.145 (0.124)−0.210* (0.122)
%Some College---0.042 (0.167)0.079 (0.158)−0.068 (0.154)
%College---0.651*** (0.142)0.559*** (0.134)0.139 (0.131)
High School--0.090*** (0.006)--0.090*** (0.006)
Some College--0.185*** (0.010)--0.185*** (0.010)
College--0.465*** (0.016)--0.463*** (0.016)
+characteristic controlNoYesYesNoYesYes
  F-test---0.400.320.44
  P-value---0.8050.8680.781
  N102,475

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. The omitted category is high school dropouts. We control for MSA-specific time trends, MSA-specific group effects, and group-specific time trends in all regressions. Characteristic controls include age, gender, marital status, children in the household, black, Asian, and Hispanic dummy variables. The values of F-statistic are for the joint effect of the isolation index and the interaction term between isolation index and group average education. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table C.2

Discrete Education Measure, Triple Differences and Triple Interactions Model (Centered)

Dependent variable: log earning
(1)(2)(3)
ISO0.119 (0.414)−1.398 (0.936)−2.487** (0.978)
ISO × HS−0.113 (0.104)−0.160 (0.106)1.632*** (0.526)
ISO × Some Coll−0.041 (0.158)−0.025 (0.180)1.721* (0.962)
ISO × College−1.420*** (0.419)−0.281 (0.499)2.123* (1.197)
ISO × %HS-2.900 (3.158)6.802** (3.385)
ISO × %Some Coll-−0.059 (5.118)4.090 (5.570)
ISO × %Coll-3.395 (2.209)−2.486 (3.139)
ISO × %HS × HS--−4.871*** (1.698)
ISO × %HS × Some Coll--−6.146** (3.012)
ISO × %HS × Coll--−7.871** (3.901)
ISO × %Some Coll × HS--−1.560 (2.872)
ISO × %Some Coll × Some Coll--2.251 (4.501)
ISO × %Some Coll × Coll--−8.266 (6.364)
ISO × %Coll × HS--−0.408 (1.730)
ISO × %Coll × Some Coll--−0.426 (2.611)
ISO × %Coll × Coll--6.065* (3.231)
%HS × HS-−0.203* (0.104)0.061 (0.143)
%HS × Some Coll-−0.175 (0.148)0.059 (0.180)
%HS × Coll-−0.266 (0.192)−0.003 (0.203)
%Some Coll × HS-0.251* (0.138)0.364** (0.163)
%Some Coll × Some Coll-0.334** (0.164)0.374** (0.186)
%Some Coll × Coll-0.016 (0.183)0.154 (0.200)
%Coll × HS-−0.002 (0.076)0.025 (0.088)
%Coll × Some Coll-0.034 (0.090)0.043 (0.097)
%Coll × Coll-0.559*** (0.122)0.447*** (0.109)
%HS-−0.021 (0.126)−0.204 (0.141)
%Some Coll-−0.250 (0.178)−0.302 (0.187)
%Coll-−0.218 (0.146)−0.119 (0.148)
High School0.102*** (0.011)0.151*** (0.039)0.046 (0.053)
Some College0.198*** (0.015)0.221*** (0.057)0.143** (0.072)
College0.523*** (0.017)0.396*** (0.096)0.340*** (0.095)
  F-test2.920.812.72
  P-value0.0200.5760.000
  N102,475

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. The omitted category is high school dropouts. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for the interactions between individual education levels and average education levels. Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table C.3

Discrete Education Measure, Triple differences, ISO Model and ISO×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 controlNoYesYesNoYesYes
  F-test---1.011.011.03
  P-value---0.4020.4000.388
  N127,769

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. The omitted category is high school dropouts. We control for MSA-specific time trends, MSA-specific group effects, and group-specific time trends in all regressions. Characteristic controls include age, gender, marital status, children in the household, black, Asian, and Hispanic dummy variables. The values of F-statistic are for the joint effect of the isolation index and the interaction term between isolation index and group average education. We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Table C.4

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 School0.021*** (0.004)0.016 (0.015)0.029 (0.019)
Some College0.040*** (0.005)0.032 (0.021)0.054** (0.026)
College0.049*** (0.005)0.028 (0.021)0.058** (0.026)
  F-test3.091.361.44
  P-value0.0150.2190.115
  N127,769

Notes: We use the sample of immigrants who are from age group 20–30 and arrived at the U.S. after age 17 or later. The omitted category is high school dropouts. The values of the F-statistic are for the joint effect of the isolation index and all the interaction terms, except for the interactions between individual education levels and average education levels. Control variables include age, male dummy, whether married, whether have children in the household, black, Asian, Hispanic, group average education (centered), and immigrants’ own education (centered). We use STATA command reghdfe (high dimensional fixed effects) to estimate the parameters. The sample size becomes slightly smaller since singleton observations are dropped. Figures in parentheses are standard errors robust to clustering at the MSA by country of origin level.

Significance is defined as follows:

*** p<0.01;

** p<0.05;

* p<0.10.

Language: English
Submitted on: Feb 6, 2023
Published on: Dec 20, 2023
Published by: Sciendo
In partnership with: Paradigm Publishing Services
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© 2023 Tian Lou, Tao Song, published by Sciendo
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