Often test takers are ranked based on their test scores (e.g., people taking a civil service exam) and often those test scores are rounded before being ranked, producing many ties). How might I go about calculating a confidence interval around such ranks (in order to give the decision makers who use the ranked list an estimate of the degree of confidence the user should have in the order of the rankings). I would like to describe and convey to users some information about whether a different of k ranks is likely to reflect a true difference or is likely to arise often based on chance. I presume the confidence interval will depend on the numeric score underlying the ranked list. Is there a general solution, perhaps based on the mean, s.d., and number of people tested? Assume the underlying distribution is normal.