Table 2.

Simulation experiment results for π̂ and π̂^x

	Mean of π̂ or π̂x	Bias of π̂ or π̂x (%)	2-sided CI coverage (%)	2-sided CI length
Overall
No aggregation	0.088	1.4	93.1	0.093
Low aggregation	0.085	−2.4	94.7	0.097
Medium aggregation	0.087	−0.7	94.8	0.104
High aggregation	0.084	−3.5	94.5	0.112
Female
No aggregation	0.115	1.1	95.4	0.150
Low aggregation	0.113	−1.7	95.4	0.152
Medium aggregation	0.113	−2.1	95.5	0.158
High aggregation	0.110	−4.1	94.9	0.167
Male
No aggregation	0.060	1.6	95.3	0.125
Low aggregation	0.057	−3.7	96.9	0.125
Medium aggregation	0.060	2.1	95.0	0.130
High aggregation	0.058	−3.0	96.3	0.135