parent nodes: IndexRSM | Response_surface_methodology | Setting up a Response surface test (RSM)


Formula Response Surface Methodology

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Setting up a RSM
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Formula

Design of experiments (DOE)


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This are the formulas that are used to calculate the Response surface methodology.

Correlation coefficients

formula
formula
formula
formula
formula
formula

The formula is put in to matrices.

formula

formula

To Calculate the formula factors the following formula is used

formula

To calculate the correlation coefficient formula the following formulas are used.

Anova table

dfSSMS
Totaln-1formulaformula
Regressionkformulaformula
Errorn-k-1formulaformula

formula

formula

formula

Legend

formula= Transposed matrix
formula= inverse matrix
formula= y value predicted by the formula
formula= Average y value
formula= error
formula= multiple correlation coefficient