topic Re: Specifying axial value as rotatable in custom design in Discussions

Specifying axial value as rotatable in custom design

tokiwon — Thu, 08 Jun 2023 16:33:28 GMT

Hello,

I am trying to create a custom DOE in order to maximize the response yield of a target quantity as a function of two continuous factors and one 2nd level categorical factor. The interactions of these factors are of the third order, and I am specifying 2 center points. However, I also want to define axial values to set axial positions such that I get a rotatable surface, similar to that of a central-composite design in surface response DOE.

I've been stumped on how to do this, and would appreciate any advice!

Re: Specifying axial value as rotatable in custom design

Victor_G — Fri, 24 Feb 2023 08:00:07 GMT

Hello @tokiwon,

Welcome in the Community !

There might be an option for the case you describe : when clicking on the red triangle in the "Custom Design" platform, you can change the value of the Sphere Radius : Custom Design Options (jmp.com)

In your case (with 2 continuous factors and 1 categorical factor), when setting the sphere radius to 1,414 (the value for rotatable CCD with 2 continuous factors), I get a rotatable design regarding the two continuous factors :

And here is the script to create such design :

DOE(
	Custom Design,
	{Add Response( Maximize, "Y", ., ., . ),
	Add Factor( Continuous, -1, 1, "X1", 0 ),
	Add Factor( Continuous, -1, 1, "X2", 0 ),
	Add Factor( Categorical, {"L1", "L2"}, "X3", 0 ), Set Random Seed( 913807339 ),
	Number of Starts( 32801 ), Add Term( {1, 0} ), Add Term( {1, 1} ),
	Add Term( {2, 1} ), Add Term( {3, 1} ), Add Term( {1, 2} ),
	Add Term( {1, 1}, {2, 1} ), Add Term( {2, 2} ), Add Term( {1, 1}, {3, 1} ),
	Add Term( {2, 1}, {3, 1} ), Add Term( {1, 1}, {2, 1}, {3, 1} ),
	Center Points( 2 ), Set Sample Size( 16 ),
	Optimality Criterion( "Make I-Optimal Design" ), Sphere Radius( 1.414 ),
	Simulate Responses( 0 ), Save X Matrix( 0 ), Make Design,
	Set Run Order( Randomize ), Make Table}
)

I hope this answer will help you,

Re: Specifying axial value as rotatable in custom design

statman — Fri, 24 Feb 2023 14:59:15 GMT

Welcome to the community. Have you tried DOE>Classical>Response Surface

For categorical, there are options.

https://www.jmp.com/support/help/en/17.0/?os=mac&source=application#page/jmp/response-surface-design-with-constraints-and-categorical-factor.shtml#

Re: Specifying axial value as rotatable in custom design

tokiwon — Fri, 24 Feb 2023 17:44:42 GMT

Thank you Victor!