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. Author manuscript; available in PMC: 2017 Aug 18.
Published in final edited form as: J Am Stat Assoc. 2016 Aug 18;111(514):510–525. doi: 10.1080/01621459.2015.1125788

Table 1.

Summary statistics of the baseline covariates, the intermediate variable and the outcome.

Control
Assignment
A = 0
Encouragement
Assignment
A = 1
Difference
between
assignments
Clusters 15 19 - -
Households 161 195 - -
Household Members C1 5.4660 (0.1640) 6.2205 (0.2103) 0.7547 (0.2631)
Education C2 5.7826 (0.3505) 6.4410 (0.3286) 0.6584 (0.4734)
Household Baseline Coverage C3 0.4569 (0.0914) 0.5646 (0.0425) 0.1076 (0.0992)
Sleeping Spaces per Member C4 0.4532 (0.1612) 0.4913 (0.0192) 0.0380 (0.0248)
Malaria Risk (Baseline) C5 0.3533 (0.0295) 0.3195 (0.0338) −0.0338 (0.0442)
Neighborhood Baseline Coverage C6 0.4569 (0.0914) 0.5646 (0.0425) 0.1076 (0.0992)

Bed Net Purchase, (P (M | A)),
M = 0 0.5901 (0.0497) 0.4410 (0.0355) −0.1490 (0.0600)
M = 1 0.4099 (0.0497) 0.5590 (0.0355) 0.1490 (0.0600)
Malaria Risk (Follow-up) (E[Y | A, M])
among bed nets non-buyers (M = 0) 0.1213 (0.0295) 0.0734 (0.0171) −0.0479 (0.0336)
among bed nets buyers (M = 1) 0.0840 (0.0199) 0.0466 (0.0181) −0.0374 (0.0228)
All 0.1060 (0.0215) 0.0584 (0.0111) −0.0476 (0.0241)

Estimates of population means with their standard errors (in parenthesis), based on the method of moments, are reported. The second and third blocks of rows concern the intermediate variable and the outcome. Due to their bernoulli and binomial distributions, estimated means are also estimates of the probability of buying new bed nets and the probability of infection, respectively.