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In a designed experiment, there are two factors. One factor has mlevels and the other factor has nlevels. Determine the number of treatments.

Hint: Refer to Exercise 1.87 or Exercise 1.88.

Short Answer

Expert verified

The total number of levels is mn.

Step by step solution

01

Step 1. Given information.

The given statement is:

In a designed experiment, there are two factors. One factor has mlevels and the other factor has nlevels.

02

Step 2. Determine the number of treatments.

The number of levels for factor one is "m", while the second factorhas "n" levels.

The number of treatments will equal the product of the two factors is:

=Numberoflevelsoffactor1×Numberoflevelsoffactor2nd=m×n=mn

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