Coding for mixture components differs from that for non-mixture factors. However, as with non-mixture factors, a benefit of coding for mixture factors is that it helps you interpret parameter estimates. See PseudoComponent Coding.
Mixture Column Property Panel shows the Mixture column property panel for the factor m1 in the Vinyl Data.jmp sample data table, found in the Design Experiment folder.
A pseudo-component is a linear transformation. Let S denote the sum of the mixture components. Suppose that i columns have been assigned the Mixture column property. Suppose that the columns and effects constructed from these columns are entered as effects in the Fit Model window.
If you select both L PseudoComponent Coding and U PseudoComponent Coding, the Fit Model platform uses the L coding if (S – L) < (U – S). Otherwise, the U coding is used.
The data in the Donev Mixture Data.jmp sample data table, found in the Design Experiment folder, are based on an example from Atkinson and Donev (1992). The design includes three mixture factors and one non-mixture factor. The response and factors are as follows:
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The response is the electromagnetic Damping of an acrylonitrile powder.
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The three mixture ingredients are copper sulphate (CuSO4), sodium thiosulphate (Na2S2O3), and Glyoxal.
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The non-mixture environmental factor of interest is the Wavelength of light.
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Though Wavelength is theoretically continuous, the researchers were interested only in predictions at three discrete wavelengths. As a result, Wavelength is treated as a categorical factor with three levels.
For details about using Custom Design to construct a design for this situation, see Mixture Experiments in Examples of Custom Designs.
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Click Cancel.
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Click Cancel.
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Click Run.
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In the Fit Model reports, the mixture factors appear in their pseudo-component coded form. When the mixture factors appear in interactions, they are not denoted in coded form. Nevertheless, the model fitting is based on the pseudo-components. Parameter Estimates Report shows the Parameter Estimates report, where the first three terms show the coded form for the mixture factors.
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Select Estimates > Show Prediction Expression from the Response Damping red triangle menu.
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Suppose that you are interested in predictions at Wavelength L2. Suppose also that Na2S2O3 and Glyoxal are set to their low values, 0.2 and 0 respectively, and that CuSO4 is set to its high value, 0.8. In this case, the predicted Damping equals the parameter estimate for CuSO4 (6.191) plus the parameter estimate for CuSO4*Wavelength[L2] (1.878). You can verify this in the Prediction Profiler.
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Select Save Columns > Save Coding Table from the Response Damping red triangle menu.
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