I am trying to estimate the duration of an empirical experiment. In that experiment, the participant has to progress through as many trials as possible, and every trial is a simple multiple choice question like
Which color do you like more? Red, Blue or Green. The experiment should last 30 minutes, and one goal is that the participant has given as much feedback as possible. Feedback is every choice that has been displayed, not only those choices the participant decided for in every particular trial.
Obviously, the participant should evaluate every choice available in a trial, and therefore time to answer should increase. However, I assume that this is not linearly correlated.
I.e. is there some heuristic available that enables me to extrapolate from
time needed to answer a question with two choices to
time needed to answer a question with 20 choices?