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Given that the components of ( underline {r}_{n} ) are Gaussian and partially correlated in all hypotheses, their joint PDF conditioned on the transmission of (underline {c}_{n}) is described as [23] begin{array}rcl@ hspace{7mm}p underline{r}_{n}|underline{c}_{n})varproptotext{exp}left{- underline{r}_{n}-underline{m}_{n})^{H}Lambda^{-1}(underline{r}_{n}-underline{m}_{n})right}, end{array} (6).
In all hypotheses, a P value of less than 0.05 determined statistical significance.
In all hypotheses this switch must have occurred, and thus far no hypothesis explains it.
The plastid data therefore indicate that these taxa share a maternally-donated genome, with D. cristata having been the maternal donor to D. clintoniana; these two species form a subclade, and the former is predicted to be one parent of the latter in all hypotheses (Table 1).
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Wald test statistics were used in all hypothesis tests.
A two tailed significance level of 0.05 was used in all hypothesis tests.
In all hypothesis testing, the null hypothesis was rejected with a type I error or an alpha error <0.05.
In all hypothesis contrasts (survival analysis and clinical parameters correlations) the null hypothesis of no difference was rejected with a type I or α-error of less than 0.05.
In science, all hypotheses must withstand the trial-by-fire of experiment; its methodology is self-correcting and objective, unconcerned with petty prejudices or personal conviction.
Most of the related statistical techniques have been developed to accommodate inferential families in which all hypotheses are either one- or two-sided such that the familywise error rate is controlled at a specified level.
In sum, all hypotheses of Theorem 1.1 are met.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com