Question

Design an experiment in which two factors are to be investigated, one at two levels and one at three levels. The experiment must run in blocks, with no more than four test runs per block. Up to 20 blocks can be used in the experiment.

***If you can explain the two factors, one at two levels and one at three levels a little more, because i think that is what has me more confused***

Answer 1

Solution:

Given that,

The design with no more than four test runs per block (That means 1, 2, 3, or 4, I have used 3) and upto 20 blocks is as shown below:

		Factor with three levels	Block
	A	1	1	1	1
	B	2	2	2	2
	A	3	3	3	3
	B	1	2	1	4
	A	1	2	2	5
	B	1	2	3	6
	A	2	1	1	7
Factor	B	2	1	2	8
With	A	2	1	3	9
Two	B	3	1	1	10
Levels	A	3	1	2	11
	B	3	1	3	12
	A	1	3	1	13
	B	2	1	3	14
	A	3	2	1	15
	B	1	3	2	16
	A	2	3	1	17
	B	2	2	1	18
	A	3	3	1	19
	B	1	1	2	20