Hi.
I have a dataset where two blinded outcome assessors independently scored a specific task.
The task is scored based on four different (dependent) parameters giving different points each: p1 (positive 0-10 points), p2 (positive 0-5 points), p3 (positive 0 or 2) and p4 (negative 0-2 points).
A total_score is calculated from these (= p1+p2+p3+(-p4)) and ranges from -2 to 17.

Data example:
Id. p1_rater1 p1_rater2 p2_rater1 p2_rater2 p3_rater1 p3_rater2 p4_rater1 p4_rater2 total_score_rater1 total_score_rater2
1 2 2 0 0 0 0 0 0 2 2
2 10 8 5 4 2 2 1 1 16 13
3 6 5 3 2 2 2 0 1 11 8
4 3 3 1 1 0 0 0 1 4 3
5 9 9 4 4 0 2 0 0 13 15
My question is How do I estimate the interrater correlation? - what is the best test statistic for this purpose and what is the corresponding command in STATA?
If possible and preferably, I want a test statistic that takes into account that the total_score is calculated from 4 different parameters.

Hope you can help.

Kind regards.