Discussion
A designed experiment evaluates \( 25 \) points where a full factorial would need \( 243 \). The saving is nearest to
Answer: C
Correct answer: 90 per cent
The saving is
\[ \frac{243 - 25}{243} = \frac{218}{243} \approx 0.897 = 90\% \]Ninety per cent fewer analyses, in exchange for resolving the main effects and the important interactions rather than every combination. That is the bargain design of experiments offers, and it is what makes a five-variable study feasible within a schedule at all.
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