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Example sentences for: williams-

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The angle of the vector corresponds to the mean phase for the group of points, and the magnitude of the vector represents the variability in the phase estimates [ 32 ] . The Watson-Williams-Stevens statistic was applied to evaluate whether two such vectors are significantly different from one another [ 32 ] . Significant differences were evident in the phase of these two clock genes' cyclical expression under a light-dark cycle, for all tissues except isolated antennal pairs and the heads (see Figure 7) and 8.
In this case two average vectors are compared, and an F-statistic (Watson-Williams-Stevens test in [ 63 ] ) is calculated to test whether the means are drawn from the same population or not.
It's the WP that passes along the reward doctors received for participating--a bottle of Williams-Sonoma tomato sauce.
The Watson-Williams-Stevens test returns an F-statistic for the comparison of vectors between two groups to determine whether they represent significantly different estimates of phase (see Figures 5, 6and [ 27 32 ] for further detail).