Partial identification of nonlinear peer effects models with missing data

Swiss Journal of Economics and Statistics

Table 2 Bias, standard deviation and mean absolute deviation of the estimates of the logit endogenous social interactions model with non-closed groups. 50 Monte Carlo simulations. Individuals are excluded from their own peer group

Group size	No. of groups	Bias: \({\bar{\theta }}-\theta (\bar{\theta }=\frac{ {\textstyle \sum _{s}} {\hat{\theta }}_{s}}{S})\)			STD: \(\sqrt{\frac{ {\textstyle \sum _{s}} ({\hat{\theta }}_{s}-{\bar{\theta }})^{2}}{S-1}}\)			MAD: \(\frac{ {\textstyle \sum _{s}} \left\| {\hat{\theta }}_{s}-\theta \right\| }{S}\)			Average time (secs)
Group size	No. of groups	k	b	d	k	b	d	k	b	d	Average time (secs)
Logit endogenous social interactions model (non-closed groups)
5	50	0.05	0.02	0.02	0.42	0.19	0.23	0.34	0.15	0.18	0.03
5	100	0.01	0.01	\(-\)0.01	0.31	0.12	0.12	0.24	0.10	0.10	0.03
5	200	0.05	0.02	0.02	0.21	0.12	0.12	0.19	0.10	0.10	0.04
5	500	0.04	0.00	\(-\)0.01	0.11	0.06	0.06	0.09	0.05	0.04	0.07
5	1000	0.02	0.01	0.00	0.09	0.04	0.05	0.08	0.03	0.04	0.08
5	2500	0.02	0.00	0.00	0.06	0.03	0.02	0.05	0.02	0.02	0.14
10	50	0.06	0.03	0.04	0.43	0.16	0.15	0.34	0.12	0.12	0.03
10	100	0.00	0.04	0.02	0.24	0.11	0.11	0.20	0.09	0.09	0.03
10	200	0.02	\(-\)0.01	0.01	0.19	0.07	0.07	0.15	0.06	0.06	0.04
10	500	0.00	0.00	0.01	0.11	0.05	0.04	0.09	0.04	0.04	0.07
10	1000	\(-\)0.01	0.00	0.00	0.07	0.03	0.03	0.06	0.03	0.03	0.12
10	2500	\(-\)0.02	0.00	\(-\)0.01	0.05	0.02	0.02	0.04	0.02	0.02	0.25
25	50	0.01	0.02	0.01	0.26	0.08	0.10	0.22	0.07	0.08	0.03
25	100	0.01	0.01	0.00	0.18	0.07	0.06	0.13	0.06	0.05	0.05
25	200	\(-\)0.03	0.00	0.00	0.16	0.04	0.05	0.13	0.03	0.04	0.07
25	500	0.01	0.01	0.00	0.08	0.02	0.03	0.06	0.02	0.03	0.14
25	1000	\(-\)0.04	0.00	\(-\)0.01	0.05	0.02	0.02	0.05	0.02	0.02	0.25
25	2500	\(-\)0.02	0.00	0.00	0.03	0.01	0.01	0.03	0.01	0.01	0.62