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In addition, respondents with the same raw score will always have the same estimated latent trait level, which is not the case with the 2- and 3-parameter models.
Similarly, in the corresponding analysis of monocot GLO-like genes we tested a null hypothesis H0 where all clades have the same estimated ω value and six alternative hypotheses where this rate is estimated for one or more relevant groups of branches.
This study suggests that there is little difference in the potential life years lost by delaying treatment in younger compared with older patients who have the same estimated short-term cardiovascular risk.
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For example, two of the sites (Wolfville, NS and McCarthy, AK) had the same estimated bedrock age (300 my) but significantly different mean 87Sr/86SrF ratios (1-tailed t-test; t5 = −3.82, P = 0.006).
end{aligned} end{aligned}We have the same estimates for the case (lambda <-d) and (zin (-1,0)).
So, for (Phi^{1}_{j}) we have the same estimate as for (Phi_{j}).
In view of Lemma 4, we have the same estimate (35) for solution (u_{3}) as for solution (u_{1}) and (u_{2}).
Agreement follows from the fact that once a process decided, at least n−2t correct processes have the same estimate x, and thus no other value will ever be adopted in line 9.
Methods based on a fused lasso penalty rely on the idea that, in most cases, two successive measurements should have the same estimate.
A sensitivity analysis was used to test the reliability of the results, and it reported that the results remained unchanged and had the same estimates after deleting any one of the included studies.
In contrast, the deeper splits within the Asian clade have nearly the same estimated age.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com