> A1 must have been presented with all 64 items (all 4categoriesX16), A2 is presented with all 64 items (all 4categoriesX16) and
> same with B1 and B2. [...]
No! As I've remarked here
https://www.millisecond.com/forums/Topic14239.aspx#bm14241, *trial* selection and *stimulus* selection are *not the same thing*. Look: You have *two* <trial> elements
<trial A1_Set1>
/ validresponse = ("V", "B")
/ correctresponse = ("V", "B")
/ stimulustimes = [0=Fixation; 250=A1; 500=
Set1]
/ trialdata = [A1, Set1]
</trial>
<trial B1_Set1>
/ validresponse = ("V", "B")
/ correctresponse = ("V", "B")
/ stimulustimes = [0=Fixation; 250=B1; 500=
Set1]
/ trialdata = [B1, Set1]
</trial>
sampling from Set1 (which has 4 items), and *two* <trial> elements
<trial A2_Set2>
/ validresponse = ("V", "B")
/ correctresponse = ("V", "B")
/ stimulustimes = [0=Fixation; 250=A2; 500=
Set2]
/ trialdata = [A2, Set2]
</trial>
<trial B2_Set2>
/ validresponse = ("V", "B")
/ correctresponse = ("V", "B")
/ stimulustimes = [0=Fixation; 250=B2; 500=
Set2]
/ trialdata = [B2, Set2]
</trial>
sampling from Set2 (also 4 items).
Practical exercise: Take a deck of 4 cards (e.g. the 4 Aces), shuffle the deck and put it in front of you. Draw a card from the deck alternatingly with your left hand and your right hand. Write down the cards you've drawn with your left and your right hand respectively. Once all 4 cards have been drawn, re-shuffle the deck and repeat the process once more. Overall, you will have drawn 4 cards with your left hand and 4 cards with your right hand.
Question: Is there any reason whatsoever that you should have ended up drawing the same 4 cards with your left and your right hand?