Fractional Factorial Design, Part 1

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Why do we multiple both sides of the design generator by C ? Is this choice of C arbitrary?

whrr
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You explained the concepts very clearly, thanks for that. However, I wonder why in all the examples when you tried to figure out which column would be used to choose the fractional design, you always keep the ones with value of +1. Why not mixed +1 and -1 ?

subasa
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This was very clearly explained, thank you!

chloet