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The alternative hypothesis for branchXsites tests of Yang, Nielson and colleagues (implemented in codeml) have fewer parameters than the unconstrained switching model implemented in fitmodel, and thus this approach may have more statistical power when one has well defined hypothesis for the branch on which switching is expected to have occurred.
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Ideally the same kind of rigor as used for the primary analysis should be applied, that is, a priori planned analyses, including well defined hypotheses and endpoints.
Candidate genes investigated in association studies should preferably have already been identified in linkage analyses, or should be part of a well defined prior hypothesis.
Notice that the operators A and B are well defined due to our hypotheses.
By hypothesis, is well defined and bounded on.
Unfortunately the proof in [1], pp. 24 25, involves an erroneous management of hitting times in combination with a truncation technique, and the limit system may not be well defined under the too general hypothesis used by the authors.
From the hypothesis, and, we obtain that is well defined and that Moreover, from Lemmas 4.2 and 4.3 it follows that.
It is well defined in W and of class C 1 (as a consequence of hypothesis (2)).
It is not difficult to see that hypotheses (i) and (iii) imply that (mathcal{G}) is well defined.
Then I is well defined on E and I ∈ C 1 ( E, R ) under the hypotheses (V), (f1 - f3).
In particular, we can see from Theorem 2.3 that M k is well defined for every λ ∈ C ∖ R and k = N + 1, when Hypothesis 2.1 holds.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com