Question

please help with problem 6 (all 3 parts)

6. Suppose that we are conducting a 2° facto- rial design, with factors A, B, C, D, E, F, and have to run the experiment in four blocks. a. How many treatment combinations will be in each block? It is decided to confound the effects ABCE and ABDF b. What (third) effect is also confounded? C. What are the four blocks?

especially part c!
i am struggling more with finding the blocks, but understand the confounded effects using mod 2 multiplication.

Answer 1

en we are conduching a 2' faclovial experiments with factors A, BIGDI E and F. We need torun experiment in each 4 blocks & lodo How many brealmost combinations will be ineach block 2 1 The total number of treatment combination in each block e total number of treatment total number of blocks ilo 64 = 1 /2 T. 16 treatments in one block. AB DF, the Ethord If we effect confound. ABCE and confunded) will be =ABLEX AB DF 2 ABZ LEDF 2 CbEF will be confounded will " the lund effect which be - CDEF. - Inorder find out to derive 4 blocles' we first need to the nos treatments

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In first step we will confound ABLE Block I Block I App F AE HEF EF AF DE ADE ADEF AD ADF DE DEF ca CE Ср CDF ALDE ALDEF AL ALF ALD ALDF. CDE INED EDEF AB " ADF BE BEF ABV ABDF. BDE Boeke BC BCF BF us ABE 3 ABEF Вр BDP ABDE ABDEF ABC ABCF BCE ABLE BCEF ABCEF BCD ABCD ABCDF - BLOE ABCDE ABCDEF. BCDE BCDEF le ALE ALEF CER

confound AB DF. papergrid In this step we will Date: 1 Blocle (1) Bloc llla) Blockcla) Block (3) EF. F AL AEF AF ADE АР DE- DEF ADE ADEF LE AC ALK Ach ср. CDF ALDE ALDEF. ACDE CDE CDEF Ab ABF BE ABEF BE ABE ABD Вр BbE ABDE BDEF. ABDEF. ABC 4BLE, BL AppЕ. BDE BCA ABLE BCD ABCDEF BCEF ABCEF BCDE BLEJO ABCD ABCDF BLOER. ABLDE BUDE ACEH ACE ten CED CEF

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