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under each hypothesis, so that.
The mean and variance of random variable Υ under each hypothesis are obtained as follows.
The behaviour of the model under each hypothesis is studied using a combination of linear stability analysis and numerical simulations.
The received vector, at instant n, under each hypothesis is given by begin{array}{*{20}l} &mathcal{H}_{0} : boldsymbol{y}(n) = boldsymbol{eta}(n), end{array} (1).
An expert panel articulated the hypotheses, provided prior weights for them, developed potential management strategies, and made predictions about the response of the population to each strategy under each hypothesis.
One approach for generating these predictions might be to solve assignment problems under each hypothesis by calculating merit scores using the mean color-object association ratings presented in Fig. 4.
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What makes this problem more difficult than our first two is that each hypothesis under investigation is consistent with any finite amount of evidence.
In most scientific contexts the outcomes in a stream of experiments or observations are probabilistically independent of one another relative to each hypothesis under consideration, or can at least be divided up into probabilistically independent parts.
For each of the three tests, 10 000 simulations were carried out under each alternative hypothesis.
Under this hypothesis each enumerative bin would contain a Poisson distributed number of gene cluster sites, and the number of genes per site would (on average) be distributed according to a gamma distribution.
To calculate the AU test, we first used RAxML (Stamatakis 2006) to estimate site-wise likelihoods (for all positions in the considered alignments) under each considered alternative hypothesis, using the GTR + G model.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com