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Table 2 Settings of Scenario 2 to compare the performances regarding joint score estimation, joint loading estimation, and feature selection

From: Statistical integration of two omics datasets using GO2PLS

Methods GO2PLS; SO2PLS; O2PLS; gPLS; sPLS; PLS
Measure \(R^2_{\widehat{T}T}\), \(R^2_{\widehat{T}\widehat{U}}\), TPR, \(W^{\top } \widehat{W}\)
pq 20000; 10000
relevant pq 1000; 500
N [30, 100, 200, 300, 600]
\(\sigma ^2_{t_{\perp }} / \sigma _t^2\) [1/5, 1/3, 1/2, 1, 2, 3, 5]
noise level \(\alpha\) [0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9]
  1. \(R^2_{\widehat{T}T}\) and \(R^2_{\widehat{T}\widehat{U}}\) quantify the joint score estimation performance; TPR measures the feature selection performance; \(W^{\top } \widehat{W}\) quantifies the joint loading estimation performance. The dimensions and number of relevant features are set based on the CVON-DOSIS study. Sample size N, the relative strength of orthogonal signal (\(\sigma ^2_{T_{\perp }} / \sigma _T^2\)), and noise level \(\alpha\) are varied