I'm writing a big 5 personality test using Big 5 Mini Markers by Saucier, as described here: http://pages.uoregon.edu/prsnlty/SAUCIER/Saucier.Minimarkers.Full.pdf
Given that most markers have about 0.7 correlation to Big5 trait, there's a limit to the score a user can get. While the theoretical max is 72 (8 markers * 9 points), the user can only get 55 on openness to experience and 67 on others.
I want to give the user percentile score as to how high they rate.
Do I use the theoretical max of 72 or the actual max the user can get on this test for determining low-medium-high or percentiles? In other words, would 55 openness be equal to 100th percentile, or would 72?
I found this example of a mini marker result online:
Your Scores Exraversion = 45 Agreeableness = 45 Conscientiousness = 45 Stability = 45 Openess = 45 Scores should range between 8 and 72. Scores from 8 to 29 could be considered "low," from 30 to 50 "average," and from 51 to 72 "high."
My personal calculations are as follows (by giving 1 or 9 each question that has a relevant coefficient):
MIN openness: 6.21 conscientiousness: 7.44 extraversion: 8.02 agreeableness: 7.51 stability: 7.49 MAX openness: 55.89 conscientiousness: 66.96 extraversion: 72.18 agreeableness: 67.59 stability: 67.41