An insect individual is placed in a box that has 6 sectors, each holding a different food. The insect is placed in the center of the box, and it is free to go in any sector. After it enter into a sector (first choice), it is re-placed in the center of the box for a second choice, and again for a third choice.
How can I test whether one sector is preferred over another? Also, how can I test whether one sector is preferred as the first choice?
I'm wondering whether to analyze these data using a multinomial model, as 'sector' is a multinomial variable. Alternatively, I'm wondering whether I should use Fisher's exact test.
What do you suggest?