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The resulting tests were illustrated by the load deflection, load moment and moment curvature responses and bending moment axial force diagrams.
David Causeur's team showed that the resulting tests statistics are asymptotically uncorrelated, which improves the overall power of the multiple testing procedure ([ 13], [ 22]).
This example has also been used by Krahn et al. [ 1] to illustrate their proposed methods for detection of inconsistency using a baseline contrast parameterization, so our results can be compared directly to that paper in order to appreciate the degree of agreement between both model formulations and the resulting tests and diagnostic checks for inconsistency.
The resulting tests are either approximate or exact.
The resulting tests are generally in accord with each other; we focused on Pillai's trace, since it provides multivariate tests that are robust to differences among the error variance-covariance matrices within groups, as well as to departures from the assumption of multivariate normality [24], [25].
Based on the observation that apoptosis rates differed between experiments after 24 and 48 hours (see Additional file 1: Figure S3), we included a categorical variable representing the experiment assignment of the sample into the linear regression model used for the differential expression analysis, rendering the resulting tests equivalent to paired tests.
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The resulting test prediction accuracy was 85.7%.
Though he told investigators the pills were painkillers, the lab results tested positive for fentanyl.
Experimental results testing this approach are presented.
(iv) Simulation results Test 4: μ EFvariations .
Simulation results Test 4: μ EFvariations.
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