. 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 4.

Principal Strata Rates and Malaria Rates by principal strata

	Principal Strata Rates P(S_ij = S^m₀m₁)		Malaria Rates Ȳ(0)

Principal Strata	Mean (SD)	95% Interval	Mean (SD)	95% Interval
NEVER-TAKERS
Low Coverage	0.198 (0.023)	[0.147,0.231]	0.042 (0.019)	[0.006,0.082]
Medium Coverage	0.520 (0.024)	[0.459,0.561]	0.051 (0.022)	[0.013,0.103]
High Coverage	0.788 (0.016)	[0.745,0.804]	0.074 (0.036)	[0.025,0.167]
All	0.456 (0.017)	[0.418,0.483]	0.060 (0.026)	[0.020,0.123]
ALWAYS-TAKERS
Low Coverage	0.671 (0.031)	[0.603,0.724]	0.084 (0.011)	[0.065,0.109]
Medium Coverage	0.283 (0.044)	[0.204,0.367]	0.092 (0.053)	[0.029,0.221]
High Coverage	0.094 (0.031)	[0.039,0.157]	0.063 (0.075)	[0.000,0.275]
All	0.399 (0.027)	[0.345,0.452]	0.084 (0.020)	[0.057,0.135]
COMPLIERS
Low Coverage	0.130 (0.045)	[0.051,0.224]	0.348 (0.110)	[0.177,0.574]
Medium Coverage	0.197 (0.058)	[0.082,0.306]	0.331 (0.117)	[0.165,0.592]
High Coverage	0.118 (0.039)	[0.039,0.186]	0.290 (0.131)	[0.123,0.633]
All	0.145 (0.038)	[0.073,0.219]	0.321 (0.099)	[0.179,0.545]

Reported results are means, standard deviations and 95%intervals of the posterior distribution of strata membership rates, and the posterior predictive distribution of malaria rates by principal strata under encouragement status A_j = 0, i.e. Ȳ (0). Both distributions are averaged over C_ij (or just over C_{1_ij}, C_{2_ij}, C_{4_ij} and C_{5_ij} when results are presented within household baseline coverage categories C̃_{4_ij}), the clusters and θ,