DOE Costom Design with standard factors or with Mixture Factors?I am facing the following problem:
I have a bunch of factors that are ingredients of a solution:
Ingredient A (2 - 20%)
Ingredient B (0 - 4%)
Ingredient C (5 - 20%)
whereas behind Ingredient B and C a selection of categorial Ingredients exists.
Further, I have several process factors:
Pressure 200 - 400
Runs 2 - 4
Responses:
Stability
Costs
Aim of that DOE is to find out which is the best formulation with corresponding process factors with highest stability and lowest costs
At first, I though about a standard Screening Model, with subsequent RSM:
Ingredient A - continious
Amount Ingredient B - continious
Selection of Ingredients B - 4 step categoric
Amount of Ingreident C - continious
Selection of Ingredient C - 2 step categoric
Pressure - continious
Runs - continious
with a screening model maybe a selection of Ingredient B and C could be eliminated, before proceeding with RSM
Second, I thought about the following setup:
Ingredient A - mixture
Ingredient B - mixture
Ingredient C - mixture
Selection of Ingredient B - categoric 4 step
Selection of Ingredient C - categoric 2 step
Pressure - continious
Runs - continious
I am wondering, if I am with teh second design as flexible as with the first design in terms of augment designs...
Further, I am wondering how I can analyse interacttions of Pressure, Runs, selection of Ingredient B and Selection of Ingredient C with the mixture?
Thank you,
Jasmin
Advanced Statistical ModelingBasic Data Analysis and ModelingDesign of ExperimentsQuality and Process EngineeringReliability AnalysisRe: DOE Costom Design with standard factors or with Mixture Factors?A few questions that need answers in order to start setting up this experiment. You list 3 ingredients in your mixture, A, B, and C, with their ranges. However, those three ingredients cannot add to 100%. What are the other ingredients? Are they going to be varied? Will they all be held constant? As it stands those ingredients do not look like a mixture.
Also, what is the process factor Runs? With a name like that it implies that you are going to conduct that trial multiple times. Is that the case? If so, then why would that be a factor?
Finally, you will need to be aware that the different types of B and C factors, each at 4 levels will cause this to be a VERY large experiment. Categorical factors will always make the experiment much larger as there are no "tricks" to try and save some runs.
Ultimately, you can indeed mix process variables with the mixture ingredients in a single design. The model gets more complicated and can take some time to understand. I would recommend that you do some research on these "mixture-process designs and models" as they are called. The subject is a bit lengthy for a forum like this. In fact, you might also want to learn a bit more about mixture experiments and the corresponding mixture models because they are fit and interpreted differently than the "classical" models. JMP can handle all of this, but the more knowledge you have, the better you will be able to use JMP.
Re: DOE Costom Design with standard factors or with Mixture Factors?Hi Dan,
thanks for replying.
@Dan_Obermiller wrote:
A few questions that need answers in order to start setting up this experiment. You list 3 ingredients in your mixture, A, B, and C, with their ranges. However, those three ingredients cannot add to 100%. What are the other ingredients? Are they going to be varied? Will they all be held constant? As it stands those ingredients do not look like a mixture.
Correct, I forgot to add ingredient D which can vary 10-100% and acts as a "filler" to 100%
Also, what is the process factor Runs? With a name like that it implies that you are going to conduct that trial multiple times. Is that the case? If so, then why would that be a factor?
"Runs" could also be called "passes" --> the product has to pass the processing device seveal times (2 - 4 times) in oder to reach the desired product quality/stabilty
Ultimately, you can indeed mix process variables with the mixture ingredients in a single design. The model gets more complicated and can take some time to understand. I would recommend that you do some research on these "mixture-process designs and models" as they are called. The subject is a bit lengthy for a forum like this. In fact, you might also want to learn a bit more about mixture experiments and the corresponding mixture models because they are fit and interpreted differently than the "classical" models. JMP can handle all of this, but the more knowledge you have, the better you will be able to use JMP.
Thank you. Are there jmp tutorials recarding "mixture-process designs and models"?
Jasmin
Re: DOE Costom Design with standard factors or with Mixture Factors?As Dan suggests, it would help if you researched mixture designs. The definitive author on mixture designs is Cornell (Cornell, John (1990) “Experiments with Mixtures, Designs, Models, and the Analysis” Wiley (ISBN:047152221X). There are also many papers on the topic including one written by Dan (Tips on JMPing into Mixture Experimentation). One Cornell paper "Embedding Mixture Experiments Inside Factorial Experiments", JQT, Vol. 22, No. 4, October 1990 may be useful.
There are also Mastering JMP tutorials as well:
https://community.jmp.com/t5/Mastering-JMP/Designing-Mixture-Experiments-Part-2/ta-p/549335
