Residual Plot


Menu:

Analysis / Response Surface / Residual Plot

An empty window will be open. Use drag & drop to insert a element of the experiment as criteria or constraints from the explorer into the opened window. The residuals are shown as bars for the all points calculated by the original model. These points are called support points and they are the basics for the building of the meta-model. Residual is the absolute difference between original model calculation and the calculation by the meta-model. It represents the quality of the approximation at the support points. The smaller the residuals, the better and more realistic is the meta-model. Detailed residual values can be shown by DOE-Table, if the option "Show Residual" is set to True.

On the plot, there are also other statistic values as mean value (M), standard deviation (S), mean square error (MSE), classification error (CE), adjusted coefficient of determination (aCoD) and Akaike information criterion (AIC) with degree of freedom in bracket. The classification error (CE) is the quotient of number of non-zero-residuals to the number of all residuals. The formulas for these statistic values are following:

 

·             y  -  observed data from original model or measurement

·             f   -  predicted data from meta-model

·             n  -  number of data points

·             p  -  number of parameters or degree of freedom

Left mouse click on the residual plot to edit its options in the property windows:

·         Data: user can choose different support points as training and test or measurement data for the residual plot