If you followed Taguchi’s principles, and you wanted to investigate a design with 5 factors at 2 levels, how many experiments do you need? How many would you need if you used 5 factors at 2 levels in Classical Statistics with full factorial experiments; half factorial as well as Saturated ? Some of the students can try their own numbers such as 3 factors at 2 levels; 2 factors at 2 levels; 2 factors at 3 levels, 3 factors at 3 levels, etc… I would like each student to have a unique set of factors and levels so I can be sure that everyone understands the Taguchi principles in DoE.

Number of full factorial experiments needed as per classical statistics is 5

Explanation:

We can use the following method to solve the given problem

Number of experiments needed as per Taguchi's principles:

No. of factors, F= 5

No. of levels, L = 2

No. of experiments, E = 1 + F*(L-1)

= 1 + 5*(2-1) = 1 + 5*1 = 6

Number of full factorial experiments needed as per classical statistics:

E = L^F

= 2^5

= 32

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