Hick's Law is one of the few results in cognitve psychology with a precise formulation, namely that the time taken to mae a choice increases with the logarithmof the number of choices. That is, if someone has to make a choice between N alternatves, the reaction time T is given by:
T ∝ log( N )
In fact, the original experiments that gave to this were based on highly structured inputs that enabled 'binarychop' style decison strategies. Given a long list of randomly sorted alternatives there is at least a linear time to read the list. However, whether the exact time is logarithmic or linear, the qulaitiave result still holds: the more alterbatuves the longer ot takes a person to kae the decsions.
This isimportant when designing intelligent human-in-the-loop systems, as it is sensible to present muliple alternatives to the human, but not too many.
Used on page 481
Links:
Wikipedia: Hick's law- Interaction Design Foundation: Hick’s Law: Making the choice easier for users