A solution to the constant frame of reference problem

Let some individuals selected from a population form a subgroup. Let each individual name those individuals whom he considers to be the best members of his subgroup. Based on the number of times an individual was so named, we wish to find the probability that the individual is the best. second best, third best, etc., member of the population. This paper presents a method for the calculation of such probabilities. In so doing, it also offers a solution to the constant frame of reference problem in which individuals from different subgroups must be compared.