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For Bayesians, the most important probabilistic rule of inference is given by a principle of conditionalization.
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Following this, a detailed comparison between the classical Bayesian inference and the MrE inference is given.
For each alternative haplotype inference the first corresponding genotype inference is given.
The direction of effect favoured homeopathy in 11 trials (statistically significantly so in four cases) and favoured control in four trials (statistically significantly so in zero cases) – see Table 4, in which the inference from the statistical findings is given by reference to the numbered study designs in Methods: Direction of effect of treatment/prophylaxis per trial.> -wrap-foot> Hom.
But the meaning of a model is given by the inference rules of OWL, which incorporate the assumptions of the Semantic Web.
The probability density function (pdf) given the π0 ij 's and π1 ij 's of the observations of the i th study is given by: (10) Inference on the parameters is obtained through the standard likelihood method based on the marginal density for the data, which is calculated by integrating out the random effects B = (α, ξ1, ⋯, ξ J -1)'.
The sizes of multipartite circles for the other five mitotypes except ole predicted by this inference are given in Additional file 1, Table S1.
Heyting arithmetic is defined to be the same as classical arithmetic, except that the underlying predicate logic is given by intuitionistic axioms and rules of inference (see below).
In Bayesian statistical inference, those premises are given by the prior over the hypotheses, $P(h_{\theta})$ for $\theta \in \Theta$, and the likelihood functions, $P(s \mid h_{\theta})$, as determined for each hypothesis $h_{\theta}$ separately.
In the most of the network inferences named as SNP-gene regulatory network (SGRN) inference, pairs of SNP-gene are given by separately performing expression quantitative trait loci (eQTL) mappings.
However, inference about this issue could be given by Borckhardt et al. [23] that used similar nociceptive induction as Nahmias, but performed activation of the opposite (left) DLPFC obtaining similar antinociceptive effect.
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