Empirical Bayes Methods with ApplicationsJ.S. MaritzMaritz, J., Lwin, T.: Empirical Bayes Methods with Applications. Monographs on Statistics and Applied Probability. (1989)
Adjusting batch effects in microarray experiments with small sample size using Empirical Bayes methods. Batch Effects and Noise in Microarray Experiments: Sources and Solutions: pp. 113-129.Johnson WE, Evan Johnson W, Li C. Adjusting Batch Effects in Microarray Experiments with Small Sample Size ...
Empirical Bayes methods are used to estimate cell probabi-lities under a multiplicative-Interaction model for a two-way contingency table. The methods assign uniform and normal priors with unknown variances to the main effects and the separable scores. A priori the analysis assumes exchangeability of...
Empirical-Bayes Methods Statistical methods that have the mathematical form of Bayesian Statistics but that estimate the prior distributions from the data being analyzed instead of deriving them from external data or expert judgment... ...
Book2021, Mathematical Statistics with Applications in R (Third Edition) Kandethody M. Ramachandran, Chris P. Tsokos Explore book 10.6 Empirical Bayes estimates Empirical Bayes methods are techniques for statistical inference in which the prior distribution is estimated from the data, instead of assumin...
Bayes methods that enable the efficient shrinkage-based estimation of the loadings and the factors. We show that our estimates have lower quadratic loss compared to the standard maximum likelihood estimates. We investigate the methods in a Monte Carlo ...
This paper adds to the literature on comparing the two Bayesian approaches through empirical applications. The main application is an evaluation of the conversion of road segments from a four-lane to a three-lane cross-section with two-way left-turn lanes (also known as road diets). For ...
application of Bayes or empirical Bayes methods (Efron, 2001, 2003). Efron et al (2001) used a non-parametric empirical Bayes approach for the analysis of factorial data with high density oligonucleotide microarray data. This approach has much potential but can ...
Efron, B. (2012) Large-scale Inference: Empirical Bayes Methods for Estimation, Testing, and Prediction, vol. 1. Cambridge: Cambridge University Press.Efron, B. (2012). Large-Scale Inference: Empirical Bayes Methods for Estimation, Test- ing, and Prediction. Institute of Mathematical Statistics ...
sizes can take any form and would likely vary with different traits. While we did not see much improvement in the maximum predictionR2in these simulations, the results showed that the empirical Bayes methods performed well whenallmarkers were included, equivalent to using a singlepthreshold of one...