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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

Figure 1.

Figure 1

The rejection boundaries (solid lines without arrows or curves) of the six tests (SUM, VC, mixAda, mixFisher, Wald and MinP) at the significance level 0.05 for a bivariate normal Z = (Z1, Z2)T with correlation ρ = 0.6 under the null. The longer solid lines with arrows represents the direction where Z has the largest variation and the shorter solid lines with arrows represents the direction (orthogonal to the longer solid lines) where Z has the second largest variation under the null. The dotted lines mark the univariate critical values at ±1.96 for Z1 and Z2 respectively. This figure appears in color in the electronic version of this article.