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Response Surface Methodology (RSM)

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Factorial Array

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Response Surface Methodology is a statistical test setup with more factors on different levels combined in one experiment. It is used rwhen analyzing complex problems with a multiple of influence factors in once including interactions. This is done by using test arrays. These arrays are comparable with the arrays used by a DOE test setup but specially designed for conducting a RSM.

Select DOE in the statistical mode drop-down menu to start a Design of experiment. The data of the input table is sorted according the factorial table (see example). With this option it is possible to conduct a RSM with various arrays.

For calculating the statistical properties of a data set the data must entered in the input table 1. The data will sorted according the Factorial table 9. and the result will be displayed in the result array 3. and Graph image 2.

9) Factorial table
In this table the coded array is visible. This must be coded and may not be renamed like in a DOE, a RSM always works with coded arrays!


First select a array (DOE => Factorial Array).
Mostly used for the RSM are Box-Behnken and Central Composite (CCD) arrays.

Box-Behnken design Central Composite design
Extreme combinations No Yes
Size of matrix Smaller Bigger
Amount of levels 3 5

The test array will be added in the Factorial table.
Now the test results put in the input table

See Data file.

Select the Response surface box (DOE => Response surface) for the statistical analysis.

In this window you can select the factors to include in the Response surface. Develve will calculate the coefficient of the selected factors and if it is significant. See here for the formula of the calculation.

Colors of the cells

Display the Response Surface Graph by clicking on Graph.

By clicking on the graph the calculated result will pop-up with coded input value.
single response 2D graph 3D response graph
By right click on the graph one of the responses only one response can be displayed in 2 or 3D.