The setup: I am testing, if different instructions on playing a game result in different outcome. The game has fixed amount of N different possible outcomes. (I most likely set N to something around 2-5). The outcomes are measured on categorical scale (each possible outcome being one category).
Lets say I have two different instructions: A and B.
I want to plan an experimental design to test hypothesis: For each person, the outcome of the game is same for instructions A and B. Alternative hypothesis is: For each person, the outcome of the game depend on the instruction.
The amount of test subjects could be around 50-200. (I prefer less for economic reasons)
Do you have idea of what kind of experimental setup and statistical tests I can use?