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Bayesian reduced rank regression and sparse CCA were less affected by the overfitting because they exploit ways to control the complexity of the model, the former using the informative priors, the latter using the cross-validation.
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Another important property that follows from using the informative prior is that the number of SNPs under consideration can be accounted for.
ScanBMA was applied to the transformed data using the informative edge prior and Zellner's g-prior for the model parameters.
Observational data are used as the informative prior for the distribution of OR.
Observational data will be used as the informative prior for the distribution of OR.
Observational evidence was used as the informative prior in Bayesian analysis.
These mathematical properties include Bayes estimators and posterior risks for the unknown component and proportion parameters using the non-informative and the informative priors under squared error loss function, precautionary loss function and DeGroot loss function.
For each of the marker-specific parameters, we used the slightly informative priors m j +~ Beta(2,4) and m j −~ Beta(4,2) since in each case we know m j + takes place before m j −.
For covariates and main effects of SNPs, we used the weakly informative priors by setting (v j, s j ) to be (1, 2.5) [ 27].
The informative priors are used so that linked experimental treatments will be favoured at the interim analyses unless there is considerable evidence that an alternative treatment is superior.
The calculations applied to these data (x1 = 14, x2 = 4, x3 = 33, x4 = 22), using the low-informative prior distribution given by Eq. 8 (Jeffreys's rule prior), would lead to the following results based on the posterior cumulative distribution function of Θ : 95% symmetrical credible interval: 0.117 to 1.389 Median: 0.439 Posterior probability that θ < 1: 0.917.
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