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. Author manuscript; available in PMC: 2018 Mar 16.
Published in final edited form as: Biometrics. 2017 Jun 26;74(1):165–175. doi: 10.1111/biom.12735

Table 2.

Power comparisons comparing SUM, VC, MixAda, MixFisher, Wald and MinP tests using simulation studies at the type I error rate α = 0.05 based on 104 replications for each configuration. When K = 2, Σ is specified by ρ = 0.1, 0.5, 0.8. When K = 3, Σ1 is exchangeable with the off-diagonal element ρ = 0.5 and Σ2 is unstructured and is specified in equation (10). When K = 100, Σ3 was set to be exchangeable with the off-diagonal element ρ = 0.2.

K μT Σ SUM VC mixAda mixFisher Wald MinP
K = 2 (1, −1) 0.1 0.05 0.27 0.24 0.24 0.24 0.22
(1, −1) 0.5 0.05 0.54 0.45 0.44 0.44 0.24
(1, −1) 0.8 0.05 0.91 0.84 0.81 0.82 0.25
K = 3 (2.0, 2.0, 2.0) Σ1 0.68 0.13 0.59 0.57 0.52 0.61
(1.2, 1.2, 1.2) Σ2 0.67 0.52 0.57 0.55 0.50 0.33
(1.63, −0.82, −0.82) Σ1 0.05 0.70 0.62 0.60 0.65 0.34
(−1.21, 0.64, −1.46) Σ2 0.48 0.74 0.63 0.68 0.62 0.33
(2.38, −1.72, −2.72) Σ2 0.11 0.48 0.51 0.51 0.78 0.80
K = 100 (1.4, …, 1.4, 1.4) Σ3 0.87 0.05 0.80 0.79 0.15 0.64