Table 4.

Summary of sensitivity analysis results

Comparison	Reading								Math
	Mainb	Povertyc	Urband	Nonurband	Non-Hispanic Blackf	Hispanicf	Non-Hispanic Whitef	No covariatese	Main	Poverty	Urban	Nonurban	Non-Hispanic Black	Hispanic	Non-Hispanic White	No covariates
(A) Average treatment effects comparing children who moved between homogenous neighborhood environments to children who did not move (referent group)a
HIGH-HIGH-HIGH MOVE vs HIGH-HIGH-HIGH STAY (referent)	_	_	_	_	_	+	_	_	_	_	+	_	_	+	_	_
LOW-LOW-LOW MOVE vs LOW-LOW-LOW STAY (referent)	+	+	+	_	+	+	+	+	+	+	+	_	+	+	+	+
(B) Average treatment effects comparing children who moved between more heterogeneous neighborhood environments to children who moved between more homogeneous neighborhood environments (referent group)
Comparison	Reading								Math
	Main	Poverty	Urban	Nonurban	Non-Hispanic Black	Hispanic	Non-Hispanic White	No covariates	Main	Poverty	Urban	Nonurban	Non-Hispanic Black	Hispanic	Non-Hispanic White	No covariates
HIGH HIGH LOW vs. HIGH HIGH HIGH MOVE (referent)	+	+	+	+	+	_	+	+	+	+	+	+	+	_	+	+
HIGH LOW LOW vs. HIGH HIGH HIGH MOVE (referent)	+	+	+	+	+	+	+	+	+	+	+	+	+	+	+	+
LOW LOW HIGH vs. LOW LOW LOW MOVE (referent)	_	_	_	_	_	_	_	_	_	_	_	+	_	_	_	_
LOW HIGH HIGH vs. LOW LOW LOW MOVE (referent)	_	_	_	_	_	_	_	_	_	_	_	+	_	_	_	_

^a( +) indicates positive statistically significant effect on test scores; ( +) indicates positive non-significant effect on test scores; (^_) indicates negative statistically significant effect on test scores; (^_) indicates negative non-significant effect on test scores (α < 0.05 for all)

^b Associations estimated in main models presented in Tables 2 and 3

^c Associations estimated in models that used proportion of the population in poverty, summarized at the census tract level, instead of NDI to proxy neighborhood socioeconomic status

^d Associations estimated in models stratified by urbanicity of census tract at birth, classified as urban or not urban (e.g., suburban or rural)

^e Associations estimated in models stratified by race/ethnicity (non-Hispanic Black, Hispanic, and non-Hispanic White)

^f Associations estimated in models adjusting only for propensity scores (no additional covariates)