The discussion centers around the interpretation of percentile ranks, specifically whether a given percentile represents a lower or upper bound for a score. Participants explore the implications of being in a certain percentile, particularly in cases of tied scores among top performers, and how this affects the understanding of relative performance in a group.
Participants express differing views on the interpretation of percentiles, particularly in cases of ties among top scores. There is no consensus on whether one can be in the 100th percentile, and the discussion remains unresolved regarding the implications of ties on percentile rankings.
Participants highlight the ambiguity in percentile definitions, particularly in scenarios involving ties and rounding, which may affect the interpretation of scores.
WHAT ARE PERCENTILE SCORES?
In contrast to stanines, percentiles give parents a more detailed description of how their children compare with other students who took the test by showing scores that range from 1 to 99.
For example, if a student scored in the 66th percentile on a test, that student achieved a score that is higher than 66%of the other students who took the test. So, if 1,000 students took the test, the student in the 66th percentile scored higher than 660 students.
Do not confuse percentile scores with percentage correct scores. Percentile scores allow you to compare one student's scores with a group of students who took the test. Percentage corrects cores simply reveal the number of items that a student answered correctly out of the total number of items.
Thank you for this, but I am still confused. My question is: If the top 3 students have the same score on an exam (and everyone else has less) and I am one of these 3 students, am I in the 97 percentile or 100 percentile?jedishrfu said:
If you round to integers, you could be. If you are the best out of 200 students, then 99.5 out of 100 students are worse than you, that could be rounded to 100.jedishrfu said:I don't think you could ever be in the 100th percentile because that would mean out of 100 students 0 students would be in it.
So if you are in the 97 percentile you did better than 97 percent of the test takers, but you don't know what u did compared to the other 3 percent, right? (you don't know if you had the same score as them or lower)jedishrfu said:If the top 3 students out of 100 students had a tie score then I think they are in the 97th percentile meaning 97 students are below them in score.
I don't think you could ever be in the 100th percentile because that would mean out of 100 students 0 students would be in it.
Percentile scores are not upward roundable -- 99.9th percentile means the score has an abundancy of no more than 1 in 1000 -- 98.9th percentile is part of the 98th percentile -- etc..mfb said:If you round to integers, you could be. If you are the best out of 200 students, then 99.5 out of 100 students are worse than you, that could be rounded to 100.