Hi again, Thanks for the PDF. I've looked through it, but am unfortunately still somewhat confused. For the design matrix I previously attached, I have listed the individual column designations at the bottom of this email. I'm interested in generating, for example, F and T tests for the side x region and group x side x region interactions. Could someone suggest how to construct the contrast vectors to accomplish this? many thanks (again)! Amit 1 'Group_{1}' 2 'Group_{2}' 3 'Region_{1}' 4 'Region_{2}' 5 'Side_{1}' 6 'Side_{2}' 7 'Subject_{1}' 8 'Subject_{2}' 9 'Subject_{3}' 10 'Subject_{4}' 11 'Subject_{5}' 12 'Subject_{6}' 13 'Subject_{7}' 14 'Subject_{8}' 15 'Subject_{9}' 16 'Subject_{10}' 17 'Subject_{11}' 18 'Subject_{12}' 19 'Subject_{13}' 20 'Subject_{14}' 21 'Subject_{15}' 22 'Subject_{16}' 23 'Subject_{17}' 24 'Subject_{18}' 25 'Subject_{19}' 26 'Subject_{20}' 27 'Subject_{21}' 28 'Subject_{22}' 29 'Subject_{23}' 30 'Subject_{24}' 31 'Subject_{25}' 32 'Subject_{26}' 33 'Subject_{27}' 34 'Subject_{28}' 35 'Subject_{29}' 36 'Subject_{30}' 37 'Subject_{31}' 38 'Subject_{32}' 39 'Subject_{33}' 40 'Subject_{34}' 41 'Subject_{35}' 42 'Subject_{36}' 43 'Subject_{37}' 44 'Subject_{38}' 45 'Subject_{39}' 46 'Subject_{40}' 47 'Subject_{41}' 48 'Subject_{42}' 49 'Subject_{43}' 50 'Subject_{44}' 51 'Subject_{45}' 52 'Group*Region_{1,1}' 53 'Group*Region_{1,2}' 54 'Group*Region_{2,1}' 55 'Group*Region_{2,2}' 56 'Group*Side_{1,1}' 57 'Group*Side_{1,2}' 58 'Group*Side_{2,1}' 59 'Group*Side_{2,2}' 60 'Region*Side_{1,1}' 61 'Region*Side_{1,2}' 62 'Region*Side_{2,1}' 63 'Region*Side_{2,2}'