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. 2016 Dec;23:235–245. doi: 10.1016/j.ehb.2016.10.002

Table 5.

Decomposition results: Fraction of 2005–2010 height change explained by improving sanitation.

difference between 2005 and 2010 mean heights

decomposition method before sanitation after sanitation percent explained
regression, OLS 0.132 0.0162 88%
regression, fixed effects 0.123 0.0167 86%
Blinder-Oaxaca 0.129 0.0107 92%
reweighted mean 0.129 −0.0121 109%

Regression results are reinterpreted from Table 2. “Before sanitation” is the simple average difference; “after sanitation” is the unexplained difference after accounting for the improvement in open defecation. “Blinder-Oaxaca” is a two-way decomposition with equal weight on within-sample slopes. “Reweighted Mean” constructs a counterfactual mean 2005 height by reweighting the 2005 sample to match the sanitation distribution of the 2010 sample; the after difference is negative because the counterfactual 2005 height is slightly greater than the real 2010 height.