Principal component regression (PCR) and partial least squares regression (PLSR)

Ergon, Rolf

doi:10.1002/9781118434635.ch08

Cited by 12 publications

(12 citation statements)

References 50 publications

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“…To this end, we carried out a principal axis transformation. This minimizes not the summed residuals of the y-deviations (like the linear regression), but rather the euclidic distance as function of the residual [10]. Finally, we performed a Kolmogorov-Smirnov adjustment test.…”

Section: Methodsmentioning

confidence: 99%

Morphologic analysis of macular neovascularizations by OCT angiography—Technical limitations in the comparison of 3×3mm and 6×6mm images

et al. 2020

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Background The aim of this study was to ascertain whether there are relevant differences between the vascular morphology of macular neovascularizations (MNV) in 3×3mm and 6×6mm images, produced by optical coherence tomography angiography (OCTA). Methods MNV of 49 patients were automated quantitative analysed, measuring area, flow, the fractal dimension, average vessel length, vascular density, and average vessel caliber. These parameters were compared between the 3×3mm and the 6×6mm images. Results A strong linear association was found between the 3×3mm and the 6×6mm images. While area, flow, and FD of the MNV were very similar, the 3×3mm images showed significantly lower average total vessel length, greater vascular density, and lower average vessel caliber. Conclusion In quantitative analysis of the morphologic parameters of MNV in 3×3mm and 6×6mm images, the structures are not directly equivalent in the two sizes of scan. The images must be evaluated on an individual basis.

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Section: Methodsmentioning

confidence: 99%

Morphologic analysis of macular neovascularizations by OCT angiography—Technical limitations in the comparison of 3×3mm and 6×6mm images

et al. 2020

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“…PLSR, combining PCA and multiple regression, is a powerful modeling technique especially when the factors (input variables) are highly collinear [33]. Indeed, PLSR is an alternative for PCR which selects principal components that are related to independent variable [32].…”

Section: Introductionmentioning

confidence: 99%

“…OLS is a statistical method estimating the relationship amongst independent variable(s) and dependent variable by minimizing sum of square differences among the predicted and observed values of dependent variable [ 31 ]. PCR is a regression method established on principal component analysis (PCA) [ 32 ]. PLSR, combining PCA and multiple regression, is a powerful modeling technique especially when the factors (input variables) are highly collinear [ 33 ].…”

Section: Introductionmentioning

confidence: 99%

Whole fungal elicitors boost paclitaxel biosynthesis induction in Corylus avellana cell culture

et al. 2020

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Paclitaxel is an effective natural-source chemotherapeutic agent commonly applied to treat a vast range of cancers. In vitro Corylus avellana culture has been reported as a promising and inexpensive system for paclitaxel production. Fungal elicitors have been made known as the most efficient strategy for the biosynthesis induction of secondary metabolites in plant in vitro culture. In this research, C. avellana cell suspension culture (CSC) was exposed to cell extract (CE) and culture filtrate (CF) derived from Camarosporomyces flavigenus, either individually or combined treatment, in mid and late log phase. There is no report on the use of whole fungal elicitors (the combined treatment of CE and CF) for the elicitation of secondary metabolite biosynthesis in plant in vitro culture. The combined treatment of CE and CF significantly led to more paclitaxel biosynthesis and secretion than the individual use of them. Also, multivariate statistical approaches including stepwise regression (SR), ordinary least squares regression (OLSR), principal component regression (PCR) and partial least squares regression (PLSR) were used to model and predict paclitaxel biosynthesis and secretion. Based on value account for (VAF), root mean square error (RMSE), coefficient of determination (R 2), mean absolute percentage error (MAPE) and relative percent difference (RPD) can be concluded that mentioned regression models effectively worked only for modeling and predicting extracellular paclitaxel portion in C. avellana cell culture.

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“…The OLSR and PLSR allows for variable compression, thus avoiding overfitting. The drawback of the PCR modeling is that some score vectors may have very little in common with the response vectors (Ergon 2014). The PLSR model is able to overcome this PCR weakness by taking into consideration the covariance of the score vectors with the response vectors (Ergon 2014).…”

Section: Resultsmentioning

confidence: 99%

Optimization and prediction of antioxidant properties of a tea‐ginger extract

Makanjuola

Enujiugha

Omoba

et al. 2015

Food Science & Nutrition

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A response surface approach was used to investigate the effects of temperature, concentration, and time on the antioxidant properties (total flavonoid (TF), total phenol (TP), peroxide scavenging activity (PS), iron chelating activity (IC), DPPH radical-scavenging ability (DPPH), ABTS assay (ABTS)) of aqueous extract of tea-ginger (2:1) powder. Color indices, pH, and redox potential of the tea-ginger powder were also measured and used as independent variables for the prediction of antioxidant properties of the extract using ordinary least square (OLSR), principal component (PCR), and partial least square (PLSR) regression. The R2 values for TP, TF, ABTS, and PS response surface models were 0.8873, 0.9639, 0.6485, and 0.5721, respectively. The OLSR, PCR, and PLSR were able to provide predictive models for DPPH, TP, and TF of the tea-ginger extract (P < 0.05). The PLSR gave the most parsimonious model with an R2 of 0.851, 0.736, and 0.905 for DPPH, TP, and TF, respectively.

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Principal component regression (PCR) and partial least squares regression (PLSR)

Cited by 12 publications

References 50 publications

Morphologic analysis of macular neovascularizations by OCT angiography—Technical limitations in the comparison of 3×3mm and 6×6mm images

Morphologic analysis of macular neovascularizations by OCT angiography—Technical limitations in the comparison of 3×3mm and 6×6mm images

Whole fungal elicitors boost paclitaxel biosynthesis induction in Corylus avellana cell culture

Optimization and prediction of antioxidant properties of a tea‐ginger extract

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