Uncertainty estimation for multivariate regression coefficients

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Visible/near infrared-partial least-squares analysis of Brix in sugar cane juice: A test field for variable selection methods (2010, methodology): “Recently, Faber has analyzed several methods for estimating the variance in PLS regression coefficients [41], concluding that the following approximate expressions are useful for this purpose:”
Variable selection in regression—a tutorial (2010, background): “Jack-knifing is often applied for significance testing in multivariate calibration [18,19].”
A bootstrap‐based strategy for spectral interval selection in PLS regression (2008, methodology): “The bootstrap techniques have been proposed for assessing the uncertainty in multivariate regression coefficients [5] and as a variable selection strategy in PLS models (PLS-Bootstrap) [6].”