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Jun 2, 2014 11:05 AM
(2778 views)

Hi there,

I am trying to build a Response surface Designs for 5 factors. I was thinking to use CCD-Faced but I have a doubt on the design to choose from the options. I introduce the number of factors and when I have to choose the design, there are two option for "Central Composite Design" with different number of Runs:

1) Number of Runs: 28, Block size: -, Center Points: 2.

2) Number of Runs: 44, Block size: -, Center Points: 2.

(see attached image)

Does anyone know the difference between this two options for Central Composite Design?

Thank you in advance

Regards,

1 ACCEPTED SOLUTION

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Jun 3, 2014 6:38 AM
(3974 views)

Solution

The difference between the two designs that you have found in the Table of Designs is that the first 28 run design is actually a Resolution V, 16 run fractional factorial along with the 2X5 = 10, axial points and 2 center points for a total of 28 runs. The 44 run design would be the full factorial 32 run design plus the 2X5 = 10 axial points and 2 center points for a total of 44 runs.

A fraction of the design space plot is shown below to illustrate the variance of the 28 run CCD (RED) vs. 44 run CCD (GREEN) vs. a RSM design generated using the Custom Designer for 44 runs (BLUE).

7 REPLIES

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Jun 3, 2014 6:38 AM
(3975 views)

The difference between the two designs that you have found in the Table of Designs is that the first 28 run design is actually a Resolution V, 16 run fractional factorial along with the 2X5 = 10, axial points and 2 center points for a total of 28 runs. The 44 run design would be the full factorial 32 run design plus the 2X5 = 10 axial points and 2 center points for a total of 44 runs.

A fraction of the design space plot is shown below to illustrate the variance of the 28 run CCD (RED) vs. 44 run CCD (GREEN) vs. a RSM design generated using the Custom Designer for 44 runs (BLUE).

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Jun 4, 2014 2:03 PM
(1987 views)

Is there a reason that anyone would want to NOT use the custom design feature in JMP? I can't see the benefit of using these older "classical" designs, and am wondering if I'm missing something.

Until the definitive screening design (DSD) was invented a couple of years ago, I virtually always used the custom design feature (which sometimes would default to a classical design) for my work. Now I uae DSD for a lot of exploratory work, and the custom design to build out d- and i-optimal designs for honing in the details. While JMP offers us all of those older designs, I haven't been able to understand why using the custom design and the DSD hasn't obsoleted the classical designs in essentially all cases.

I'd be very interested in hearing other thoughts on this point.

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Jun 4, 2014 7:46 PM
(1987 views)

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Jun 5, 2014 6:40 AM
(1987 views)

Can you interpret the graph in your repsonse to ajanda? thanks.

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Jun 5, 2014 7:18 AM
(1987 views)

Fraction of Design Space Plot

The Fraction of Design Space Plot shows how much of the model prediction variance lies above (or below) a given value. See Fraction of Design Space Plot. This is most useful when there are multiple factors. It summarizes the prediction variance, showing the fractional design space for all the factors taken together.

Fraction of Design Space Plot

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Jul 8, 2014 4:09 PM
(1987 views)

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Jul 8, 2014 6:53 PM
(1987 views)