Question

4- You need to design an experiment for confounding a 2 factorial in four blocks. a) Suggest a solution. Answer: b) Suppose the company decides to use the following solution: ABCE and ABDF. You are given the treatment combinations in the principal block c) Generate the block that include, among others, the treatment combination A at high level, B, C, D, E, and F at low level Answer:

Answer 1

(a) and (b)

Aer bloch Block 2 Block 3 Block 4 acd cd abcd acd- ad ac -ac bcd-bc cde abcde bcd abce-abe аьсе ade bde a2 dede abde acde bcde abcf adf bcdf 2 abd2 f ab,f ade f abdf abcdf ace bcef acde f Method: Find the treatment combination which is not appear ed in key block then multiply this with all treatment combinations which are appeared in key block then reduce these in mod 2 system. For erample a is not appear in key block then we generate Block 2 as (1) a-a, a b a-a2)-b (mod 2) and so on

се Block2: a, b, cd, abcd, ace, bce, de, abde, cf, abcf, adf, bdf, ef, abe f, acdef, bcdef