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- adding axial points in augment design

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May 12, 2015 7:45 PM
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May 13, 2015 6:05 AM
(12352 views)
| Posted in reply to message from physicalchem20 05/12/2015 10:45 PM

Mixture designs are constrained - factors can only take on values between 0 and 1, and the factors (components in the mixture) must sum to 1 (100%). The design space is a triangular rather than cubic (as you'd see in a factorial design). I believe that, because of these constraints, adding axial points from the augment platform for mixture designs is not available.

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May 13, 2015 6:05 AM
(12353 views)
| Posted in reply to message from physicalchem20 05/12/2015 10:45 PM

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Apr 30, 2017 5:06 PM
(6465 views)
| Posted in reply to message from mia_stephens 05/13/2015 09:05 AM

But there are some mixture designs including axial runs. In this case, axial runs are located in the interior of the design space, on the line connecting each vertex to the overall centroid.

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May 13, 2015 8:46 AM
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| Posted in reply to message from physicalchem20 05/12/2015 10:45 PM

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May 13, 2015 9:20 AM
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| Posted in reply to message from physicalchem20 05/13/2015 11:46 AM

There are different types of mixture designs that can be generated from the DOE > Mixture Design platform. The Simplex Centroid and Simplex Lattice both place points on the edge of the design space. The Simplex Lattice also places design points in the interior of the design space.

In the ternary plots below, I generated the default designs, and then used the Graph > Ternary Plot option - you can see where the design points are placed relative to the triangle (i.e. the design space). The optimal option allows you to create optimal custom mixture designs. - this gives you flexibility in the size of the experiment and the terms (parameters) you need to estimate.

There's a nice description of these designs and the mixture design platform in the JMP Book DOE Guide (under the Help Menu, Books - search for Mixture).

I hope this helps!

Mia

Default Simplex Centroid - 3 factors

Default Simplex Lattice

An optimal mixture design (using the default settings):