Reliability between sets - is the intraclass correlation coefficient appropriate?


I am having trouble applying the ICC to data I have collected for my Masters thesis. I have collected 8 sets (of 30 samples) from 40+ participants. Data was collected with constant parameters for all participants in order to find the reliability of the instrument in question. (To clarify, all data was collected by one person so there was only one 'rater').

Im trying to find whether the data collected is reliable within each participant (i.e. how high is the agreement between the 8 sets of samples collected within each participant), as well as an overall reliability measure.

Is the intraclass correlation coefficient the most appropriate test and if so which ICC should I use?

Any help will be much appreciated!