Planning of experiments when the experimental region is constrained Application of linear transformations to factorial design
✍ Scribed by Martin J. Hillyer; Philip M. Roth
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 720 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
Statistically based experimental planning is becoming commonplace in engineering and scientific disciplines. One of the most frequently used planning procedures is factorial design. This procedure, however, often provides inadequate coverage of the experimental space (the space whose coordinate axes are given by the independent variables such as temperature, pressure, initial concentrations, feed rates, etc.) when that space is constrained. Such situations occur in practice through the existence of equipment limitations and the imposition of processing restrictions.
In this paper we discuss two general classes of linear transformations of factorial designs. These transformations extend the utility of factorial techniques to studies in which constraints must be respected. While we have presented only the two-variable case, the results can be extended for use in problems having three or more variables. We illustrate the use of one transformation through application to an extraction problem and then present the more general results.