How USMLE Scores are calculated?

This seems to be the on every ‘s mouth since decades!
And ironically the answer is still UNKNOWN!

OK, now if you don’t have to read this rather lengthy post. Let me give you the final answer now; Nobody knows!

Yes, there are many theories about it and all kinds of speculations. But up to the writing these lines, there’s no official explanation of scores are calculated and even no consensus theory agreed upon.

The latest USMLE of 2009 does say this:
(On the three-digit scale, most Step 1, 2 CK, or 3 scores fall between 140 and 260. The mean for first- examinees from accredited programs in the United States is in the range of 210 to 230, and the standard deviation is approximately 20. Your report will include the mean and standard deviation for recent administrations of the examination. The two-digit is derived from the three-digit . It is used in reporting because some licensing authorities have requirements that include language describing a “passing of 75.” The two-digit is derived in such a way that a of 75 always corresponds to the minimum passing ).

So first of all, let me dispel a public myth. The two digit is not a percentile and here are the proofs:

  • First, if the two digit was a percentile then a 75 passing means that only 25% of students the at all times! Thanks God this is not the reality as we would have been crying if that was the truth. In the 2008 for example, there was a 73% passing percentage among First Takers and even higher percentages for US/Canadian grads. Reference for this info is in this official NBME page.
  • Second, if the two digit was a percentile then one standard deviation above the mean would mean 84th percentile. Using the numbers given to us directly from the NBME as mentioned above (mean 210-230 and SD=20) then a three digit of 240 is equal to the 84th percentile. While in reality a three digit of 240 have always meant 99 two digit throughout the history of USMLE!

So it’s obvious that the two digit is not a percentile. The two digit is merely an extrapolation from your three digit and standardized in a way to mean that 75 is the passing and 99 is the highest possible with a range in between the two. Perhaps, the reason behind the two digit is just to give “humans” a number that they can understand, however, in reality it has only complicated matters further!

Now do they calculate the three digits ?

Well, I don’t know and nobody else knows. If you are thinking that the three digit is actually the number of you answered correct then you are wrong and here’s why;

One thing we know for sure is the passing for each as reported in this official NBME web page. Currently the for 1 is 185, for CK is 184, for 3 is 187. Note that these passing scores are revised every two years or so and they are variable however the 75 two digit passing is always the same which is a proof that the two digit is standardized and extrapolated from the original three digit .
We also know that there are 336 in 1 and 352 in 2 CK (the latter is revised recently).

They also tell us that the percentage of items to get right in order to meet the minimum is 60 to 70 (Reference for this is found in the USMLE Bulletin 2009 scroll down to paragraph 10 “multiple choice items” and read the last line).

Using the numbers gathered above then we should simply deduce that 65% of the 336 1 items to the is equal to 218.4 . But the passing three digit is 185 as we said! Let’s calculate it also for CK (65% of 352 = 228.8, but the passing three digit is 184!).

So the conclusion is that the three digit does not by any means (using simple math) correspond to the number of you got right in the .

Confounding factors:
There are several other factors that complicate the calculation further. Examples:

  • All these numbers are variable and revised from to .
  • Some items are experimental and do not count toward the total .

Related Tags : Scores, calculated


Related posts:

-How to interpret USMLE scores
-What is the passing score/percentile for USMLE from a foriegn medical school?
-USMLE Step 1
-Orthopaedic In-Training Examination Scores: A Correlation with USMLE Results
-USMLE Step 2 CK – Clinical Knowledge

Tags: ,

blog comments powered by Disqus