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. Author manuscript; available in PMC: 2018 Oct 1.
Published in final edited form as: Soc Sci Med. 2017 Sep 1;191:19–29. doi: 10.1016/j.socscimed.2017.08.039

Table 4.

Results of key sensitivity analysesa

Model A Model B Model C
Non-Latino Whiteb Non-Latino Black c Year fixed effects d

OR (95% CI) OR (95% CI) OR (95% CI)
Time (centered at 21) 1.00 (0.99 – 1.01) 1.02 (1.00 – 1.04)*
Time squared 1.00 (1.00 – 1.00) 1.00 (1.00 – 1.00)
Year fixed effects
 2005 ref.
 2006 0.85 (0.67 – 1.08)
 2007 0.70 (0.47 – 1.04)
 2008 0.52 (0.29 – 0.91)*
 2009 0.61 (0.33 – 1.11)
 2010 0.73 (0.39 – 1.38)
 2011 0.71 (0.37 – 1.36)
 2012 0.79 (0.39 – 1.60)
 2013 0.75 (0.33 – 1.69)
 2014 0.77 (0.33 – 1.80)
Noncitizen parent(s) 1.55 (1.43 – 1.69)***
Effects for children with only noncitizen parents: e
 first omnibus law passage 0.85 (0.48 – 1.49)
 first law, post-passage year fixed effects
  post-passage year 1 0.96 (0.37 – 2.47)
  post-passage year 2 1.00 (0.54 – 1.86)
  post-passage year 3 5.14 (1.85 – 14.30)**
  post-passage year 4 1.34 (0.61 – 2.94)
  post-passage year 5 0.62 (0.18 – 2.17)
  post-passage year 6 2.14 (0.74 – 6.19)
  post-passage year 7 1.75 (0.50 – 6.09)
  post-passage year 8 2.56 (0.53 – 12.45)
Effects for children with at least one citizen parent:
 first omnibus law passage 1.50 (0.98 – 2.31)
 first law, post-passage trend fixed effects
  post-passage year 1 1.08 (0.57 – 2.03)
  post-passage year 2 0.45 (0.24 – 0.82)*
  post-passage year 3 0.76 (0.27 – 2.11)
  post-passage year 4 0.89 (0.40 – 1.95)
  post-passage year 5 0.86 (0.32 – 2.27)
  post-passage year 6 0.62 (0.21 – 1.78)
  post-passage year 7 0.74 (0.38 – 1.45)
  post-passage year 8 0.63 (0.23 – 1.70)
Effects for non-Latino White or Black children:
 first omnibus law passage 0.80 (0.56 – 1.14) 0.93 (0.63 – 1.37)
 first law, post-passage trend 1.09 (0.99 – 1.19) 0.89 (0.78 – 1.02)
 first law, post-passage trend squared 0.99 (0.99 – 1.00) 1.01 (1.00 – 1.02)
 first law, post-passage trend cubed 1.00 (1.00 – 1.00) 1.00 (1.00 – 1.00)

Unweighted sample size n=102,765 n=37,761 n=70,187
F-test F(99, 601.7)=103.12*** F(100, 460.6)=524.66*** F(137, 584.0)=84.36***
a

Models include all covariates described in the methods section.

b

The sample for Model A includes all White children in NHIS, age 0–17, who were US citizens and had US-citizen parents.

c

The sample for Model B includes all Black children in NHIS, age 0–17, who were US citizens and had US-citizen parents.

d

Model C uses year, rather than quarter-year, as the time unit for existing time trends and for post-passage trends. These are treated as a series of dummy variables (fixed effects).

e

Coefficients on policy variables for children of noncitizen parents were calculated from interaction terms using multiple imputation nlcom commands.

OR=Odds Ratio, CI = Confidence Interval,

*

p<.05,

**

p<.01,

***

p<.001