Quadratic regression

Table 4.5. Data from Table 4.4 Normalized to the Average of the 5 fjil Spots (Bold) on a Plate-by-plate Basis a Quadratic Regression was Applied to These...

Traditional regression-type models have been linear and quadratic regression models. Linear and quadratic regression models unfortunately impose further constraints upon the nature of the process nonlinearity as such, these models are limited in the range of their applicability. A relatively new nonlinear regression-type model—the Artificial Neural Network (ANN)—is not as limited, and is worthy of additional discussion. 

Table 9.1 Comparing ANNs to Quadratic Regression Models...

Independent variable Measure of fit Quadratic regression ANN model... 

Conduct both linear and quadratic regression analyses for each calibration curve. Choose the method which provides the higher/ 2 value for quantification of each lipid class in the sample. 

Results were analyzed by nested mixed-model ANOVA s using general linear procedures, in the MINITAB 15 statistical program. Nested mixed-model ANOVA was used when multiple leaves per tree and multiple trees per treatment were available. Additional analyses were linear and quadratic regressions (performed in MINITAB 15 and Excel), and when significant differences occurred, means were compared using Student s t-test or nested mixed-model ANOVA. 

HPLC-RT correlation, linear quadratic regressions, Webster etal. 1985)... 

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