Research on Several Problems in Partial Least Squares RegressionAnalysis

摘要

Purpose: preliminary discussion on model prediction precision in the partial least squares regression analysismethod; Method: introduce current development conditions of partial least squares regression analysis, analyze problemsof traditional regression analysis method such as multiple linear regression analysis, introduce the mathematic principleand modeling method of the partial least squares regression analysis method, and conduct detailed analysis on the partialleast squares regression analysis modeling and prediction by using the classical Linnerud data. Result: The partial leastsquares regression analysis has the basic features of the multiple linear regression analysis and principal componentanalysis, can precisely predict multiple data and establish a precise mathematical model; Conclusion: The partial leastsquares regression analysis can provide precise mathematical model and can reserve the explaining variants remarkablyassociated to explained variants to most extent, so it is feasible to some extent and can meet the general requirements ofengineering, economy, biology and medical statistical analysis.