Skip to main content
. Author manuscript; available in PMC: 2013 Jun 19.
Published in final edited form as: J Am Stat Assoc. 2012 Jun 11;107(497):12–23. doi: 10.1080/01621459.2011.643710

Table 1.

Bias (×10−3) and MS (×10−2) of β̂I and β̂E for double directional case. Bias denotes the bias of the mean of the estimates; MS denotes the root-mean-square error. For each parameter, the first row is for β̂I and the second is for β̂E. Moreover, the constraints β5c,1 = β6c,1 and β5c,2 = β6c,2 are imposed.

n = 40 n = 80 n = 120
Bias MS Bias MS Bias MS
β5d,1 = 1.2 3.15 13.26 4.35 10.04 4.22 7.75
3.40 13.10 4.36 9.82 3.98 7.60
β5c,1 = β6c,1 = 1 9.29 19.19 1.74 12.76 7.43 10.31
8.93 18.02 0.89 12.09 7.27 9.81
β5d,2 = 1.2 9.44 13.69 2.05 10.19 0.86 7.80
9.81 13.29 0.88 9.59 0.43 7.69
β5c,2 = β6c,2 = 1 6.90 18.55 5.00 13.08 0.64 10.53
6.74 17.50 5.67 12.44 0.62 9.99
β6d,1 = 0.8 5.18 16.85 3.23 9.74 2.49 7.93
5.69 12.91 3.10 9.65 2.69 7.76
β6d,2 = 0.8 2.34 14.84 1.31 9.78 0.86 8.47
1.32 13.06 0.98 9.71 0.91 8.07