A simplex centroid design of degree k with n factors is composed of mixture runs with
and so on up to k factors at a time combined at k equal levels.
1.
Select DOE > Mixture Design.
4.
Enter the number of ingredients in the box under K. JMP will create runs for each ingredient without mixing, then create runs that mix equal proportions of K ingredients at a time to the specified limit.
5.
Click the Simplex Centroid button.
Example of Factor Settings and Output Options
7.
Specify Run Order, which is the order in which you want the runs to appear in the data table that you will create. Run order choices are:
8.
Specify Number of Replicates. The number of replicates is the number of times to replicate the entire design, including center points. Type the number of times you want to replicate the design in the associated text box. One replicate doubles the number of runs.
9.
Click Make Table.
The table of runs for a design of degree 1 with three factors (left in Three-Factor Simplex Centroid Designs of Degrees 1 and 2) shows runs for each single ingredient followed by the center point. The table of runs to the right is for three factors of degree 2. The first three runs are for each single ingredient, the second set shows each combination of two ingredients in equal parts, and the last run is the center point.
Three-Factor Simplex Centroid Designs of Degrees 1 and 2
1.
Choose DOE > Mixture Design.
3.
Click Continue.
4.
Enter 1 in the K box, and click Simplex Centroid to see the design on the left in Create Simplex Centroid Designs of Degrees 1 and 2.
5.
Click the Back button, then click Continue, and enter 2 in the K box. Then click Simplex Centroid to see the design on the right in Create Simplex Centroid Designs of Degrees 1 and 2.
Create Simplex Centroid Designs of Degrees 1 and 2
1.
Choose DOE > Mixture Design.
3.
Use the default value, 4, in the K box.
4.
Click Simplex Centroid.
5.
Click Make Table.
Partial Listing of Factor Settings for Five-Factor Simplex Centroid Design shows part of the 31-run design. Note that your table may look different because the design was created with Run Order set to Randomize.
Partial Listing of Factor Settings for Five-Factor Simplex Centroid Design