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Table 3 Mean accuracy increase of NetSparse relative to each other method and its standard error on the mean calculated over ten replicates each, times 100

From: Bayesian neural networks with variable selection for prediction of genotypic values

Scenario

GBLUP

BayesB

GBLUP-AD

BayesB-AD

GBLUP-ADAA

Base

\(1.2\pm 0.6\)

\(1.0\pm 0.5\)

\({\textit{2.2}\pm \textit{0.7}}\)

\({\textit{3.3}\pm \textit{0.6}}\)

\({\textit{2.5}\pm \textit{0.6}}\)

\(S_{10}\)

\({\textit{27.7}\pm \textit{1.6}}\)

\({\textit{6.7}\pm \textit{0.8}}\)

\({\textit{28.1}\pm \textit{1.5}}\)

\({\textit{9.3}\pm \textit{1.1}}\)

\({\textit{28.5}\pm \textit{1.4}}\)

\(S_{100}\)

\({\textit{5.2}\pm \textit{1.1}}\)

\({\textit{2.4}\pm \textit{0.7}}\)

\({\textit{5.8}\pm \textit{1.1}}\)

\({\textit{5.4}\pm \textit{0.7}}\)

\({\textit{6.1}\pm \textit{1.1}}\)

\(S_{1000}\)

\(-0.0\pm 0.2\)

\({\textit{1.1}\pm \textit{0.3}}\)

\(0.3\pm 0.2\)

\({\textit{3.0}\pm \textit{0.7}}\)

\(0.4\pm 0.3\)

\(D_{\text {medium}}\)

\({\textit{0.8}\pm \textit{0.3}}\)

\(0.6\pm 0.5\)

\(0.0\pm 0.5\)

\(0.8\pm 0.6\)

\(0.4\pm 0.5\)

\(D_{\text {extreme}}\)

\({\textit{0.6}\pm \textit{0.8}}\)

\(0.6\pm 0.6\)

\(-6.3\pm 0.6\)

\(-6.1\pm 0.7\)

\(-5.8\pm 0.7\)

\(E_A\)

\({\textit{0.7}\pm \textit{0.2}}\)

\(0.6\pm 0.7\)

\({\textit{1.4}\pm \textit{0.4}}\)

\({\textit{3.2}\pm \textit{0.6}}\)

\({\textit{1.3}\pm \textit{0.5}}\)

\(E_C\)

\(0.6\pm 0.4\)

\({\textit{0.9}\pm \textit{0.3}}\)

\(0.9\pm 1.0\)

\(1.5\pm 1.1\)

\(1.0\pm 1.0\)

\(E_I\)

\({\textit{1.5}\pm \textit{0.5}}\)

\({\textit{1.5}\pm \textit{0.4}}\)

\({\textit{2.8}\pm \textit{0.6}}\)

\({\textit{3.9}\pm \textit{0.6}}\)

\({\textit{2.7}\pm \textit{0.6}}\)

  1. Significant entries, determined with the Benjamini-Hochberg procedure for \(\alpha =0.05\) for the one-sided paired t-test corresponding to the hypotheses \(\mathbb {E}\left( \rho _{\text {NetSparse}}-\rho _{\text {Method}}\right) =0\), are marked in italic