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. Author manuscript; available in PMC: 2012 Jun 1.
Published in final edited form as: Biometrics. 2010 Jun 16;67(2):331–343. doi: 10.1111/j.1541-0420.2010.01454.x

Table 7.

Efficiency loss due to misspecification of W: with family-specific effects, μ1 = μ2 = 5, var(αi) = 25

Ordinary least square estimates
p=0.2 p=0.4 p=0.9

True β Adjusted Mean β̂ Empirical S.E. Adjusted Mean β̂ Empirical S.E. Efficiency Loss Adjusted Mean β̂ Empirical S.E. Efficiency loss
10 10.02 1.61 9.99 1.67 4% 10.00 1.64 2%
20 19.96 1.59 19.99 1.66 4% 20.05 1.69 6%
50 50.03 1.63 49.99 1.66 2% 49.94 1.67 2%
100 99.99 1.60 99.95 1.60 0% 100.00 1.64 2%

Weighted least square estimates
10 10.03 1.42 9.99 1.46 3% 10.00 1.49 5%
20 19.98 1.43 20.02 1.49 4% 20.05 1.45 1%
50 50.00 1.43 50.01 1.50 5% 49.96 1.51 6%
100 99.98 1.43 99.95 1.44 1% 100.00 1.50 5%