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: (1) ab acd bcd ce abce ade bde acf bcf df abdf aef bef cdef abcdef 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)

1 er block Block 2 Block 3 Block 4 a2cd-cd abcd ace a-bcebce acd-ad ac bcd се abce ade bde ac aca ac cde abce-abe abcde a2 de de acde abde bcde ac2f - af ac abcf adf a2bdf bdf bcf bcdf Cl abcdf ade f bdef cd2ef cef ace abe f acdef bcef c2def de f cdef abcdef a2bcdef bcdef abe defabdef abcd ef abce f Method Find the treatment combination which is not appear ed in key block then multiply this with all treatment combinations which are appear ed 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) x a - a, ab x a - abb (mod 2) and so on

Block2: a, b. cd, abcd, ace,bc, de, abde, cf, abcf,adf, bdf, ef, abe f, acde f, bcde f