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bryantw
Level I

Interpreting a Mixture of Mixtures Study

Can I get some help interpreting the results of my mixture of mixtures study? I'm studying the friction of asphalt, specifically the effects of aggregate type, aggregate blend ratios at coarse and fine fractions, and asphalt gradation type.

Aggregate Types, 6 total:
- Class A (high quality): A1, A2, A3
- Class B (low quality): B1, B2, B3

Aggregate Blending (Coarse and Fine portions)
- Blend percent of Coarse Class A and B aggregate in total mix: 0 to 50%
- Blend percent of Fine Class A to B aggregate in total mix: 0 to 50%
- Total of Coarse and Fine = 100%

Gradation Type, 2 types
- Type C
- Type D

Attached is my study .jmp file. I feel comfortable with multivariate regression analysis, but this mixture stuff is tripping me up. Any direction to get started is welcome. Thanks! 

2 REPLIES 2
statman
Super User

Re: Interpreting a Mixture of Mixtures Study

There is just not enough information provided about the experimental situation to give sound advice (e.g., Do you know measurement system error?  How much of a change in friction matters?  What is an experimental unit?  How was it measured?...). I'm not sure I understand why you are calling this a mixture design?  Two factors (it doesn't appear Aggregate and gradation type are mixture factors) and since you did ratios rather than the independent amounts of fine and coarse.  You actually have an alternate to a mixture design (not good or bad).  Analyze as typical fractional factorial design starting with the model you used to design the experiment and use fit model.

OK, I had a look at the data table, I'm still confused.  It seems you  have the aggregate types included in your 4 component mixture design?  It appears you have confounded those Aggregate types with the mixture components?

"All models are wrong, some are useful" G.E.P. Box
louv
Staff (Retired)

Re: Interpreting a Mixture of Mixtures Study

This might be helpful a Case Study in the JMP Library by Marie Guadard

https://community.jmp.com/t5/JMP-Sample-Data/Design-of-Experiments-Example-A-Mixture-of-Mixtures-Des...

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