hi guys, im a psychologist bowing down to the mathematics...I have unfortunately encountered a problem whilst doing my research. It involves coming up with a umber sequence based on the following constraints:
basically it's like this:
96 individual objects in total
48 are presented ONCE only
48 are presented THREE times (objects 25-48, 73-96)
the problem: come up with a sequence/pattern that goes something like....
25 X X 25 X X X X X X 25 and 25 X X X X X X 25 X X 25 (ideally half the repeated objects will have the first pattern and the other half will have the reverse)
so the objects after 3 or after 7 instances
in total, there should be 192 objects presented to the participant.
bonus points if you can break it into blocks of 3 or 4 or whatever just so i can give the participant a break when i test them for my experiment.
the main thing is counterbalancing as this is part of a hierarchy of counterbalanced conditions.............
I apologise that I can't lay out the problem in a maths equation, unfortunately my maths abilities only extend to A-levels and this is quite beyond me.
any help would be appreciated!