Between + within groups design at same time??

Hello all,

Got a study to run which is a little bit strange. Imagine a study
with
a control group (1 person) and a treatment group (1 person). Both
groups run through 10 identical serials. Then, we swap the
participant
in the control group for the participant in the treatment group, and
run another 10 serials. We do this to gather feedback from the
participants as to the subjective differences between the conditions.


What would you call this design? I'm pretty sure it's not a crossover
study, since I have one control group, and not 2 treatment groups.
It's almost like a between groups study for the first 5 serials, then
within groups for the following 5.

Any ideas?

Thanks
.

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