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Ridge models on average give slightly better error estimates than PLS models.
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The general linear model (PROC GLM) was used to assess the ridge model.
SWs were simulated in an idealised 3D ridge model as shown in Figure 7.
This is demonstrated in the results of ridge regression (ridge.add) on the pre-CC: In this context, with only moderate uncertainty for most individuals at most loci, the performance of a simple ROP-based eight-allele ridge model (which we consider an optimistic equivalent to an unpenalized regression of the same model) approaches that of the best Diploffect-based method.
Previous studies showed that infinitesimal GP model (GBLUP or ridge regression models) outperformed QTL-based model in predicting complex traits for both multifamily populations (Peiffer et al. 2014) and biparental segregating populations (Lorenzana and Bernardo 2009; Guo et al. 2012).
The weights <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0017845.e016.PNG" class= inline-graphic"/> for individual genes in the jth gene set were the corresponding estimated coefficients from the training set using the Cox-ridge model (1) (Figure 1A).
Unlike traditional artificial neural networks, KDSNs do not rely on backpropagation algorithms but on an efficient fitting procedure that is based on a series of kernel ridge regression models with closed-form solutions.
Thirdly, all of the four ridge regression models of the individual years were significant (2003 and 2004 at P<0.0001; 2005 and 2006 at P<0.05), and all with positive coefficients (Table 4).
Unfortunately, the coefficients of the ridge regression models in individual years were various, ranged from 0.651 to 510.83 (Table 4), maybe mainly due to aging of the plant, designed field management and various climates.
We compared ridge regression models, which either included basis patterns (code-based) or individual histone marks (mark-based) as independent variables.
At the population level, simple, multiple linear and ridge regression models were used to further analyze correlations between blood heavy metal concentrations and age-adjusted mortality from selected site-specific cancer in the nine villages evaluated.
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