Design an experiment for confounding a 26 factorial in four blocks. Suggest an appropriate confounding scheme, different from the one shown in Table 7-8.

Table 7-8.

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Table 7-8 Suggested Blocking Arrangements for the 2* Factorial Design Effects Chosen to Generate the Blocks Number of Number of Blocks, 2" Block Factors, k Size, 2 Interactions Confounded with Blocks 3 4 АВС АВС 2 AB, AC АВ, АС, ВС 8 ABCD АВСD АВС, АCD АВ, ВС, CD 4 4 ABC, ACD, BD 8. AB, BC, CD, AC, BD, AD, ABCD 5 16 АВСDE ABCDE 4 8 ABC, CDE ABC, CDE, ABDE ABE, BCE, CDE AB, AC, CD, DE ABE, BCE, CDE, AC, ABCD, BD, ADE All two- and four-factor interactions (15 effects) 8 16 6 32 ABCDEF АВСDEF ABCF, CDEF, ABDE ABEF, ABCD, ACE, BCF, BDE, CDEF, ADF ABE, ACF, BDF, DEF, BC, ABCD, ABDE, AD, ACDE, CE, BDF, BCDEF, ABCEF, AEF, BE All two-, four-, and six-factor interactions (31 effects) 16 ABCF, CDEF ABEF, ABCD, ACE ABF, ACF, BDF, DEF 8 8. 16 32 AB, BC, CD, DE, EF 7 64 АВСDEFG ABCDEFG 4 32 ABCFG, CDEFG ABCFG, CDEFG, ABDE ABC, DEF, AFG, ABCDEF, BCFG, ADEG, BCDEG ABCD, EFG, CDE, ADG, ABCDEFG, ABE, BCG, CDFG, ADEF, ACEG, ABFG, BCEF, BDEG, ACF, BDF ABG, BCG, CDG, DEG, EFG, AC, BD, CE, DF, AE, BE, ABCD, ABDE, ABEF, BCDE, BCEF, CDEF, ABCDEFG, ADG, ACDEG, ACEFG, ABDFG, ABCEG, BEG, BDEFG, CFG, ADEF, ACDF, ABCF, AFG 16 ABC, DEF, AFG 16 8. ABCD, EFG, CDE, ADG 32 4 ABG, BCG, CDG, DEG, EFG 64 AB, BC, CD, DE, EF, FG All two-, four-, and six-factor interactions (63 effects) すN 24