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Very different ranges auf factor levels

In one experiment, I have several factors whose factor levels (maximum vs. minimum value = range) differ substantially in their real-world dimensions. For one factor, the range is about 4%, for another factor about 16%, with several other factors lying in between. At present, these are only estimates of the minimum and maximum factor levels chosen so as not to impair the overall function of the object.

However, the factors are interdependent in such a way that, for example, the range of the factor with 16% could be reduced, while the ranges of other factors could be increased. In this way, it might be possible to achieve ranges of about 9–10% for all factors.

What is the better approach: leave the ranges as they are, or equalize them?

Regards

Klaus

2 REPLIES 2
statman
Super User

Re: Very different ranges auf factor levels

Really difficult to provide advice as there is virtually no context. Are you asking about mixture designs?

"All models are wrong, some are useful" G.E.P. Box

Re: Very different ranges auf factor levels

No, it is not a mixture design. These are characteristics such as length, width, and height, which form two volumes similar to a Helmholtz resonator. The properties of the resonator certainly depend on the two volumes, which can be dimensioned independently of each other (i.e., there is no fixed total volume defined by the sum of the two volumes, as would be required for a mixture design). However, it may not only be the size of the volumes that matters, but also the shape—that is, the possible combinations of length, width, and height. The same volume can be achieved through different combinations of these parameters. These parameters—length, width, height, etc., in millimeters—are also varied in the experiment, and their ranges differ considerably. That is what the question refers to.

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