Table 3

Local open defecation robustly linearly interacts with population density: International sample

Fixed Effects
CountryCountrySurveySurveyRegionRegion
(1)(2)(3)(4)(5)(6)
Panel A: Infant Mortality Is the Dependent Variable 
 Local open defecation × ln(Density) 3.273* 2.271* 3.523** 2.772* 2.266* 1.581 
 (1.390) (1.049) (1.178) (1.077) (1.060) (1.071) 
 Local open defecation 26.27*** 12.61*** 22.99*** 11.71*** 18.80*** 8.715*** 
 (2.339) (2.244) (1.978) (2.186) (1.794) (2.166) 
 ln(Density) –0.330 0.518 –0.316 0.390   
 (0.646) (0.519) (0.518) (0.495)   
 Household open defecation 6.246*** 3.102** 6.141*** 3.455*** 6.276*** 3.808*** 
 (1.711) (1.049) (1.309) (1.015) (1.278) (1.021) 
 Urban  –1.709  –2.252  –2.222 
  (2.051)  (1.446)  (1.152) 
 Extended controls  ✓  ✓  ✓ 
N (live births) 1,109,116 942,350 1,109,116 942,350 1,109,116 942,350 
Panel B: Child Height-for-Age Is the Dependent Variable 
 Local open defecation × ln(Density) –0.0744* –0.0445 –0.0677** –0.0396* –0.0394** –0.0229 
 (0.0335) (0.0275) (0.0218) (0.0192) (0.0146) (0.0116) 
 Local open defecation –0.493*** –0.115* –0.457*** –0.102** –0.437*** –0.114*** 
 (0.0465) (0.0490) (0.0325) (0.0329) (0.0236) (0.0208) 
 ln(Density) 0.0259 –0.00212 0.0257** –0.00168   
 (0.0150) (0.0133) (0.00957) (0.00916)   
 Household open defecation –0.183*** –0.0676*** –0.183*** –0.0718*** –0.185*** –0.0835*** 
 (0.0241) (0.00840) (0.0143) (0.00664) (0.0140) (0.00657) 
 Urban  0.135***  0.136***  0.122*** 
  (0.0360)  (0.0242)  (0.0191) 
 Extended Controls  ✓  ✓  ✓ 
 Age (in months) × Sex ✓ ✓ ✓ ✓ ✓ ✓ 
n (children under 5) 856,165 701,573 856,165 701,573 856,165 701,573 
Fixed Effects
CountryCountrySurveySurveyRegionRegion
(1)(2)(3)(4)(5)(6)
Panel A: Infant Mortality Is the Dependent Variable 
 Local open defecation × ln(Density) 3.273* 2.271* 3.523** 2.772* 2.266* 1.581 
 (1.390) (1.049) (1.178) (1.077) (1.060) (1.071) 
 Local open defecation 26.27*** 12.61*** 22.99*** 11.71*** 18.80*** 8.715*** 
 (2.339) (2.244) (1.978) (2.186) (1.794) (2.166) 
 ln(Density) –0.330 0.518 –0.316 0.390   
 (0.646) (0.519) (0.518) (0.495)   
 Household open defecation 6.246*** 3.102** 6.141*** 3.455*** 6.276*** 3.808*** 
 (1.711) (1.049) (1.309) (1.015) (1.278) (1.021) 
 Urban  –1.709  –2.252  –2.222 
  (2.051)  (1.446)  (1.152) 
 Extended controls  ✓  ✓  ✓ 
N (live births) 1,109,116 942,350 1,109,116 942,350 1,109,116 942,350 
Panel B: Child Height-for-Age Is the Dependent Variable 
 Local open defecation × ln(Density) –0.0744* –0.0445 –0.0677** –0.0396* –0.0394** –0.0229 
 (0.0335) (0.0275) (0.0218) (0.0192) (0.0146) (0.0116) 
 Local open defecation –0.493*** –0.115* –0.457*** –0.102** –0.437*** –0.114*** 
 (0.0465) (0.0490) (0.0325) (0.0329) (0.0236) (0.0208) 
 ln(Density) 0.0259 –0.00212 0.0257** –0.00168   
 (0.0150) (0.0133) (0.00957) (0.00916)   
 Household open defecation –0.183*** –0.0676*** –0.183*** –0.0718*** –0.185*** –0.0835*** 
 (0.0241) (0.00840) (0.0143) (0.00664) (0.0140) (0.00657) 
 Urban  0.135***  0.136***  0.122*** 
  (0.0360)  (0.0242)  (0.0191) 
 Extended Controls  ✓  ✓  ✓ 
 Age (in months) × Sex ✓ ✓ ✓ ✓ ✓ ✓ 
n (children under 5) 856,165 701,573 856,165 701,573 856,165 701,573 

Notes: Standard errors are clustered by country in columns 1 and 2 and by DHS in columns 3–6. Extended controls include six indicators for the child’s household owning the six common DHS assets (electricity, radio, television, motorcycle, car, and refrigerator); indicators for sex, birth calendar month, and multiple births; year of birth, entered linearly; indicators for first, second, or third birth order; an indicator for whether the child’s mother attended school; and the mother’s age at first birth, entered linearly.

p < .10; *p < .05; **p < .01; ***p < .001 (two-tailed tests)

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