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. Author manuscript; available in PMC: 2013 Sep 5.
Published in final edited form as: Stat Med. 2012 Mar 22;31(15):1633–1651. doi: 10.1002/sim.4493

Table I.

Estimated type I error rate and power on a continuous clinical outcome.

Case GK Kernel (K) P2K P1K
LIKE BHM BHM (BF) LIKE BHM BHM (BF) LIKE BHM BHM (BF)
n = 60
p = 5
Type I Power 0 0.04 0.04 0.05 0.04 0.04 0.05 0.04 0.04 0.05
1 0.99 0.99 1 0.97 0.98 1 0.97 0.98 1
2 0.90 0.94 0.97 0.85 0.86 0.89 0.65 0.66 0.70
3 0.86 0.89 0.91 0.91 0.93 0.95 0.86 0.87 0.89
4 0.84 0.86 0.89 0.77 0.80 0.82 0.92 0.93 0.95
5 0.77 0.78 0.81 0.73 0.74 0.78 0.72 0.73 0.77
n = 60
p = 200
Type I Power 0 0.03 0.03 0.04 0.03 0.03 0.04 0.03 0.03 0.04
1 0.84 0.85 0.89 0.83 0.85 0.89 0.82 0.83 0.87
2 0.81 0.82 0.87 0.74 0.77 0.81 0.56 0.60 0.61
3 0.77 0.79 0.81 0.80 0.82 0.84 0.74 0.79 0.79
4 0.73 0.73 0.77 0.63 0.64 0.66 0.80 0.84 0.88
5 0.72 0.73 0.76 0.71 0.72 0.75 0.70 0.72 0.75

LIKE = LLG’s likelihood-based approach with kernel K by using a resampling-based inference; BHM = Bayesian approach on hierarchical model by using a resampling-based inference; BHM (BF) = Bayesian approach on hierarchical model by using an inference based on the Bayes factor; GK = Gaussian kernel; P2K = quadratic kernel; P1K = linear kernel.