A method for estimating confidence intervals for hearing loss allocation estimates is developed and demonstrated. Based on the ISO-1999 model for the combination of noise-induced permanent threshold shift (NIPTS) and age-related permanent threshold shift (ARPTS), the probabilities of different pairs of NIPTS and ARPTS values can be represented by a three-dimensional joint probability density function (JPDF). When the JPDF is intersected by equal-probability planes, the resulting ellipses define the confidence intervals. This method makes conservative assumptions that will usually overestimate the width of the confidence interval.
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Robert A. Dobie (1993) studied this question.