Second-degree plans
Design of experiments
Article REF: P230 V2
Second-degree plans
Design of experiments

Author : Jacques GOUPY

Publication date: September 10, 1997, Review date: October 1, 2020 | Lire en français

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6. Second-degree plans

So far, we've considered factors that are continuous or discrete but take only two levels. In this paragraph, we will study continuous factors taking more than two levels. The mathematical model adopted in the previous paragraphs was of the first degree with respect to each of the variables. If this first-degree model is valid, further experimentation is rarely necessary. On the other hand, if it is not valid, it is necessary to move on to a higher-degree model. We limit ourselves here to the second-degree model, which proves sufficient in most cases.

6.1 Validation of the first-degree model

The first-degree model is used to calculate the value of the response at the center of the study domain. It's easy to compare this calculated value with the actual measurement...

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