This test is known to be a uniformly most powerful unbiased test [35 37].
On the right panel, a weighted version of the coefficient of correlation leads to an apparently unbiased test.
The weighted coefficient (hat {rho }_{boldsymbol {lambda }}), however, provides and unbiased test with an observed 5.3% rejection rate and an histogram that approaches a uniform distribution as expected.
In this paper, we propose an alternative test, called nearly unbiased test, which is shown numerically to have power substantially larger than existing tests.
An approximately unbiased test constraining the monophyly of Nephilengys, Nephila, and Nephilinae (Nephila, Nephilengys, Herennia), respectively, rejected Nephilengys monophyly, but not that of Nephila and Nephilinae.
The Critical Assessment of Small Molecule Identification (CASMI) contest is an initiative designed as an unbiased test of manual and automated strategies for the identification of small molecules from raw mass spectrometric data.
Given our setup, in the regression framework, the t-test of equality of the maximal uptake rates M R gluc max, C and M R gluc max, T is a likelihood ratio test and the uniformly most powerful unbiased test [34].
One model, M1, demonstrated particularly favorable selectivity toward highly active compounds by correctly predicting 39 (95.12%) out of 41 nanomolar-level LF inhibitors, 46 (93.88%) out of 49 inactives, and 844 (99.65%) out of 847 Pub Chem inactives in external, unbiased test sets.
The alternative hypothesis (monophyly of Tetranchyroderma) was rejected by the approximately unbiased test (p<0.01).
Prediction accuracy was further successfully validated using, as an unbiased test set, mutated sequences of calpastatin (endogenous inhibitor of calpain) modified to no longer block calpain's proteolytic action.
The Approximately Unbiased test and the Genetic Algorithm for Recombination Detection both provided further support for differing evolutionary histories among this group of genes.
