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. 2016 Jan;45:131–148. doi: 10.1016/j.jhealeco.2015.10.007

Table B1.

An indirect test of independence: regressing the covariate on the instruments.

Unweighted allelic score
Weighted allelic score
32 independent variants
Coefficient Standard error Coefficient Standard error p-Value of F-test: instrument-coefficients jointly equal to zero
Girl 0.00 (0.00) 0.00 (0.01) 0.560
Birth weight (g) 2.62 (2.18) 19.22 (14.11) 0.550
Age at KS3 (in months) 0.04*** (0.02) 0.16 (0.10) 0.341
Ln(income) 0.00 (0.00) 0.00 (0.01) 0.392
Mother's education −0.00 (0.00) −0.00 (0.02) 0.341
Raised by natural father 0.00 (0.00) 0.00 (0.01) 0.731
Social class at birth −0.00 (0.01) −0.03 (0.03) 0.076
Mum works part-time 0.00 (0.00) −0.01 (0.01) 0.971
Mum works full-time −0.00 (0.00) −0.00 (0.01) 0.428
Partner employed 0.00 (0.00) 0.01 (0.01) 0.905
Index of Multiple Deprivation −0.06 (0.06) 0.32 (0.37) 0.259
Alcohol during pregnancy 0.00 (0.00) 0.01 (0.01) 0.596
Smoke during pregnancy 0.00 (0.00) 0.00 (0.01) 0.697
Breastfeeding 0.00 (0.00) 0.00 (0.03) 0.080
Mother's age at birth 0.00 (0.00) −0.00 (0.02) 0.076
***

p < 0.01; The p-value in the last column corresponds to an F-test of the coefficients on the 32 instrumental variables jointly equalling zero; Ln(income) is measured when the child is aged 3–4 as is in 1995 prices; mother's educational level is a categorical variable with four values (less than ordinary (O) level, O-level, advanced (A) level, and university degree); social class is measured using the standard UK classification of class based on occupation (professional (I), managerial and technical (II), non-manual skilled (IIInm), manual skilled (IIIm), semi-skilled (IV) and unskilled (V)); the Index of Multiple Deprivation (IMD) is a measure of local area deprivation, measured at birth, referring to areas containing about 8000 persons; breastfeeding is a categorical variable (never, <1 month, 1–3 months and 3+ months); the sample contains 4846 observations.