Table 7 Bias, standard deviation and mean absolute deviation of the estimates for the linear (OLS) model with non-closed groups
From: Partial identification of nonlinear peer effects models with missing data
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) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
k | b | d | J | k | b | d | J | k | b | d | J | |||
OLS (non-closed groups) | ||||||||||||||
 5 | 50 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.12 | 0.01 | 0.08 | 0.04 | 0.09 | 0.01 | 0.06 | 0.03 | 0.02 |
 5 | 100 | \(-\)0.01 | 0.00 | \(-\)0.01 | 0.00 | 0.08 | 0.01 | 0.05 | 0.03 | 0.07 | 0.01 | 0.04 | 0.02 | 0.01 |
 5 | 200 | \(-\)0.01 | 0.00 | \(-\)0.01 | 0.01 | 0.06 | 0.01 | 0.03 | 0.02 | 0.05 | 0.01 | 0.02 | 0.02 | 0.01 |
 5 | 500 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.02 | 0.01 | 0.03 | 0.00 | 0.02 | 0.01 | 0.02 |
 10 | 50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.01 | 0.05 | 0.03 | 0.07 | 0.01 | 0.04 | 0.02 | 0.01 |
 10 | 100 | 0.00 | 0.00 | 0.00 | 0.00 | 0.07 | 0.01 | 0.03 | 0.02 | 0.06 | 0.01 | 0.02 | 0.02 | 0.01 |
 10 | 200 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.04 | 0.01 | 0.02 | 0.01 | 0.03 | 0.00 | 0.02 | 0.01 | 0.01 |
 10 | 500 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.01 | 0.01 | 0.02 | 0.00 | 0.01 | 0.01 | 0.02 |
 25 | 50 | 0.01 | 0.00 | 0.00 | 0.00 | 0.06 | 0.01 | 0.03 | 0.02 | 0.05 | 0.01 | 0.03 | 0.02 | 0.01 |
 25 | 100 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.04 | 0.01 | 0.02 | 0.01 | 0.03 | 0.01 | 0.02 | 0.01 | 0.01 |
 25 | 200 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.02 | 0.01 | 0.02 | 0.00 | 0.01 | 0.01 | 0.02 |
25 | 500 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.01 | 0.01 | 0.02 | 0.00 | 0.01 | 0.00 | 0.03 |