I have two groups of children - one group with normal hearing and one with permanent hearing losses - call them NH and PHL.
Each child has had a hearing test, consisting of 6 different sounds (.25, .5, 1, 2, 4, and 8KHz) assessed under three different test conditions (classic, remote, and hybrid)
Each child therefore has 18 data points - three conditions by six sounds.
How can I test the hypothesis that, for each of the six sounds, the three test conditions returned the same hearing thresholds and that there is no difference between the groups in this respect?
That is, both normal hearing and hearing impaired children generated the same hearing test results in the three test conditions. I am not interested in the actual differences in hearing levels between the groups as I already know how well they hear - I just need to know that their hearing levels are the same no matter how I test them.
If there are differences between the groups or between the conditions, how can I examine the interaction effects to see whether the differences were greatest for particular sounds or in particular conditions?