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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

Table 9.

Lead and Reading Test Scores—Robustness

Drop obs. with imputed natality (1) Include address FE (2) Impute all pre-school lead (3) Weight earlier exposure more (4)
Panel A. Ordinary least squares
Single random draw of blood lead levels −0.295
[0.0252]
−0.262
[0.0657]
Geometric mean of lead (imputed) −0.296
[0.0230]
Geometric mean of lead (weighted) −0.320
[0.0345]
Observations 59,877 26,131 70,678 70,678
R2 0.224 0.640 0.223 0.221
Fixed effect Tract Address Tract Tract
Number of fixed effects 233 10,157 233 233
Panel B. IV with first random draw as dependent variable and average of other draws as instrument
Single random draw of blood lead levels −0.373
[0.0328]
−0.340
[0.0791]
Observations 47,603 20,521
Fixed effect Tract Address
Number of fixed effects 233 10,157
Panel C. IV with geometric mean of lead as dependent variable and predicted certificate as instrument
Geometric mean of lead −0.600
[0.415]
−1.390
[0.643]
Geometric mean of lead (imputed) −1.097
[0.390]
Geometric mean of lead (weighted) −2.470
[0.898]
Observations 59,877 26,131 70,678 70,678
R2 0.224 0.640
Fixed effect Tract Address Tract Tract
Number of fixed effects 233 11,298 233 233

Notes: Standard errors clustered at the tract level are shown in brackets. Fifteen percent of the children in our sample were not born in Rhode Island and therefore there is no natality data available for them. They are dropped in column 1. Column 2 shows estimates for the sample of addresses with more than one child and including address fixed effects. Column 3 uses an alternative measure of lead exposure: we impute lead levels for months with no lead test based on an average of the two nearest months with measured lead levels. Column 4 shows estimates based on an imputed lead measure where we give greater weight to measures taken at younger ages (see text for more detail on imputation and weighting methods).