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. Author manuscript; available in PMC: 2019 Mar 11.
Published in final edited form as: Am Econ J Appl Econ. 2018 Jan;10(1):307–341. doi: 10.1257/app.20160404

Appendix Table 5.

Estimates of Lead and Reading Scores Based on Aggregate Means

Outcome = reading score Outcome = average lead level first stage (3)

OLS weighted (1) IV (2)
Geometric mean of lead −0.408
[0.148]
−1.251
[0.422]
African American 11.82
[6.567]
13.67
[5.673]
0.922
[1.042]
White 13.04
[6.373]
15.09
[5.655]
1.001
[1.051]
Hispanic 11.28
[6.428]
13.03
[5.540]
0.457
[1.026]
Asian 15.16
[6.660]
16.83
[5.847]
0.548
[1.079]
Always free/reduced lunch −5.477
[1.045]
−5.344
[0.995]
0.250
[0.204]
Sometimes free/reduced lunch −4.329
[0.857]
−4.032
[0.814]
0.289
[0.172]
Male −3.335
[0.605]
−3.291
[0.569]
0.0499
[0.0980]
Birth weight in kg 1.703
[0.546]
1.553
[0.527]
−0.158
[0.113]
Mother < high school −4.603
[1.258]
−4.385
[1.265]
0.266
[0.283]
Mother high school grad −2.476
[0.937]
−2.828
[1.014]
−0.239
[0.184]
Mother college+ 1.163
[1.012]
1.172
[1.005]
−0.0619
[0.193]
Married at birth −1.178
[0.920]
−1.571
[0.841]
−0.475
[0.165]
Birth order −0.615
[0.369]
−0.498
[0.330]
0.154
[0.0690]
Birth weight missing—imputed 2.358
[1.909]
3.163
[1.860]
0.425
[0.385]
Maternal education −3.558
[1.835]
−3.879
[1.838]
−0.159
[0.373]
Families: Income in 2012 below poverty level 2.703
[5.647]
3.707
[5.216]
0.497
[1.563]
Median family income (in 2010 inflation adjusted dollars) −4.59e–05
[4.15e–05]
−2.51e–05
[3.21e–05]
1.25e–05
[9.18e–06]
Share of housing built post-1978 4.704
[4.350]
8.252
[4.112]
3.891
[1.260]
HRC certificates at birth −8.275
[1.760]
HRC certificates at birth squared 20.38
[8.086]
DOH certificates at birth −8.308
[2.245]
DOH certificates at birth squared 17.57
[4.889]
Share of housing to ever receive a certificate −0.993
[0.870]
−0.765
[0.911]
0.235
[0.207]
Observations 1,989 1,989 1,989
R2 0.865 0.885

Notes: Each observation is a birth year × census tract cell. All variables represent the average for that year of birth and census tract. For example, the outcome (reading test scores) is the average third grade reading test score of all children born in a given year living in a given tract as of the first lead test. All covariates similarly defined (i.e., lead is the average lead level for these children; African American is the share African American in that year of birth and census tract). All regressions weighted by the number of children in each cell.