o ch 13 = r=1, factorial 2 level per treatment should block called 2**p n=v*1=(2**s)*(2**(p-s))=bk - what if need 2**4 with 2**2 = 4 blocks? where A=bead size S,L B=color B,O C= music N,Y D= light L,H - decide to confound ABCD and ABC with block of DAY and TOD - since df for block is b-1 = 4-1=3 then something else is confounded FIND: (ABCD)(ABC)= (A**2)(B**2) (C**2)(D)=D all squared is 1 note: bad to confound main effect - check this D effect on x-table; really no good design for this 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 BLOCK M-AM x x x x M-PM x x x x T-AM x x x x T-PM x x x x - how do we get these designs? - observe this x-table see sum of labels (mod 2) for all (ABCD) and for (ABC) in each separate block differs * we know which block every treatment goes - try a 2**4 in 2**1 blocks