Reliability and Validity of Conversion Formulas Between Comprehensive Osteopathic Medical Licensing Examination of the United States Level 1 and United States Medical Licensing Examination Step 1
Abstract
Background
The Comprehensive Osteopathic Medical Licensing Examination of the United States (COMLEX-USA) Level 1 and United States Medical Licensing Examination (USMLE) Step 1 scores are important factors in the selection process of medical students into US residency programs.
Objectives
The goals of this study were to investigate the correlation between the COMLEX-USA Level 1 and the USMLE Step 1 and to assess the accuracy of the existing formulas in predicting USMLE scores from COMLEX-USA scores.
Methods
A retrospective study of 1016 paired COMLEX-USA Level 1 and USMLE Step 1 scores was conducted. Formulas by Sarko et al and by Slocum and Louder were used to estimate USMLE Step 1 scores from COMLEX-USA Level 1 scores, and a paired t test between calculated USMLE Step 1 scores and actual USMLE Step 1 scores was performed.
Results
During 2006–2012, 1016 of 1440 students (71%) took both the USMLE Step 1 and the COMLEX-USA Level 1 tests in the College of Osteopathic Medicine of the Pacific. The USMLE Step 1 scores were higher than those predicted by Slocum and Louder and by Sarko et al by an average of 14.16 ± 11.69 (P < .001) and 7.80 ± 12.48 (P < .001), respectively. A Pearson coefficient of 0.83 was observed. Regression analysis yielded the following formula: USMLE Step 1 = 0.2392 × COMLEX-USA Level 1 + 82.563 (R2 = 0.69577).
Conclusions
The USMLE Step 1 scores, on average, were higher than those predicted by the formulas derived by Slocum and Louder and by Sarko et al. Residency program directors should use caution when using formulas to derive USMLE Step 1 scores from COMLEX-USA Level 1 scores.
Introduction
To become a licensed physician in the United States, one must hold either a doctor of osteopathic medicine (DO) degree or a doctor of medicine (MD) degree, pass the respective licensing examinations, and complete residency training. The DOs and MDs each have their own licensing pathways: the Comprehensive Osteopathic Medical Licensing Examination-USA (COMLEX-USA) for DOs,1 and the United States Medical Licensing Examination (USMLE) for MDs.2 Residency programs consider the scores on USMLE Step 1 and/or COMLEX-USA Level 1 to be one of the most important factors in the selection process of medical students into US residency programs.3–5
Although not required, many osteopathic medical students often take both COMLEX-USA Level 1 and the USMLE Step 1. Because both the USMLE and the COMLEX-USA aim to test a minimal knowledge competency required for a physician to practice medicine in the United States,1,2 it is reasonable to assume that the 2 examinations correlate with each other. To our knowledge, there are 4 previously published studies, each establishing a correlation between the scores of the 2 examinations.6–9 The study by Slocum and Louder7 also provides a formula predicting the scores between the 2 examinations. The study has a sample size of 155 and is based on a single class from a college of osteopathic medical school. Another study by Sarko et al6 also provides a conversion formula, using a sample size of 90 with examination results again from a single class. The National Board of Osteopathic Medical Examiners, the official body that creates and administers the COMLEX-USA, cautions against the direct comparison of the 2 examinations, noting that the COMLEX-USA Level 1 is designed to test the distinct osteopathic philosophy and medical practices.10,11 It is unknown whether Accreditation Council for Graduate Medical Education (ACGME) program directors use formulas to convert osteopathic medical student residency candidates' COMLEX-USA scores into comparable USMLE scores, but it is likely that some program directors use a conversion formula to determine the strength of an applicant.
The USMLE Step 1 or COMLEX-USA Level 1 scores can influence applicants' ability to match into particular programs, thus the validity of the formula may be crucial. The goal of this study was to further investigate the correlation between the 2 examinations and to assess the predictability of USMLE scores from COMLEX-USA scores. The study also assessed the accuracy of the existing formulas in predicting USMLE scores from COMLEX-USA scores for those who took both examinations at Western University of Health Sciences, College of Osteopathic Medicine of the Pacific (COMP), using a larger sample size and data from multiple years.
Methods
Design
This was a retrospective study of paired COMLEX-USA Level 1 and USMLE Step 1 scores. Paired COMLEX-USA Level 1 and USMLE Step 1 scores from examinations taken from 2006 to 2012 were identified by COMP. Each paired result was assigned a random, unique identifier to maintain anonymity.
The study was reviewed and granted exempt status by the Institutional Review Board of Western University of Health Sciences.
Statistical Analysis
We performed regression analysis and used Pearson correlation coefficients to assess the relationship between COMLEX-USA Level 1 and USMLE Step 1 three-digit scores. We also calculated the means and standard deviations for each examination. The formulae by Slocum and Louder7 (USMLE Step 1 = 0.24 COMLEX-USA Level 1 + 67.97) and by Sarko et al6 (USMLE-1 = 105.8 + 0.18 × COMLEX-1) were used to calculate and estimate USMLE Step 1 scores from the COMLEX-USA Level 1 scores. We then calculated the differences between the estimated and actual USMLE Step 1 scores and performed a paired t test. All statistical analyses were performed using Statistical Package for the Social Sciences version 21.0 (SPSS, Chicago, IL).
Results
We identified 1440 first attempt COMLEX-USA Level 1 examinations taken by COMP students between 2006 and 2012. Of those 1440 students, 1016 (71%) also took USMLE Step 1. The table shows the percentage of students, by graduating class, who took COMLEX-USA Level 1 and USMLE Step 1.
The figure presents the scatterplot of the paired USMLE Step 1 and COMLEX-USA Level 1 three-digit scores. We observed a positive correlation with a Pearson coefficient of 0.834. The regression analysis yielded the following formulae: USMLE Step 1 = 0.239 × COMLEX-USA Level 1 + 82.563 (R2 = 0.69577) or COMLEX-USA Level 1 = 2.909 × USMLE Step 1 − 80.592 (R2 = 0.69577).



Citation: Journal of Graduate Medical Education 6, 2; 10.4300/JGME-D-13-00302.1
The mean ± SD scores for the examinations were 524.48 ± 73.885 and 208.02 ± 21.188 for COMLEX-USA Level 1 and USMLE Step 1, respectively. Estimated USMLE Step 1 scores from COMLEX-USA Level 1 scores using the Slocum and Louder7 formula (USMLE Step 1 = 67.97 + 0.24 × COMLEX-USA Level 1) and the Sarko et al6 formula (USMLE-1 = 105.8 + 0.18 COMLEX-1) were calculated. The mean ± SD difference between the actual USMLE Step 1 and the estimated USMLE Step 1 scores by the Slocum and Louder7 formula was 14.17 ± 11.69 (P < .001) and by the Sarko et al6 formula was 7.80 ± 12.48 (P < .001).
Discussion
The COMLEX-USA Level 1 and USMLE Step 1 scores are often used by program directors as one of the deciding factors when ranking residency applicants.3–5 With increasing numbers of osteopathic medical students entering ACGME-accredited residencies,12 there is a strong possibility that program directors will encounter more students with only COMLEX-USA Level 1 scores. If they are unfamiliar with the COMLEX-USA Level 1, their main option is to use an existing formula to convert those scores into a more familiar USMLE Step 1 score. Our study results caution against that, advocating for each USMLE Step 1/COMLEX-USA Level 1 score to be evaluated independently. It is our hope that our findings will help program directors of ACGME-accredited programs evaluate candidates more accurately when considering matching them into their residency program. The formula derived by Louder and Slocum7 underestimated the USMLE Step 1 scores when compared with the actual USMLE Step 1 scores, by a statistically significant average of 14.16 points (6.8% of the average score). Additionally, the formula derived by Sarko et al6 underestimates the USMLE Step 1 scores when compared with the actual USMLE Step 1 scores by a statistically significant average of 7.80 points. If a program director were to use either of those formulae to convert the score of an osteopathic medical student with only a COMLEX-USA Level 1 score to a USMLE Step 1 score, the applicant could be put at a disadvantage. The reason for the differences in the conversion of COMLEX-USA Level 1 to USMLE Step 1 may be due to many factors such as variation in the curricula for different osteopathic medical schools, changes in the examination content of both COMLEX-USA Level 1 and USMLE Step 1, and the larger sample size used in our study. However, similar to the results of the previous studies, our results did show a positive linear correlation between the USMLE Step 1 and COMLEX-USA Level 1 scores. We performed a subanalysis matching the results from the Slocum and Louder7 study to the results from the 2006 COMP students (the same year) and compared the scores. A statistically significant difference of 8.96 was found, demonstrating that the change in examination content cannot fully explain the difference in conversion of COMLEX-USA Level 1 to USMLE Step 1. Unfortunately, we were unable to do a similar subanalysis with data from the Sarko et al6 study because the required data fell outside of our population range.
A limitation of our study is that it was based on the scores of a single osteopathic medical school and thus might not be generalized to the entire osteopathic medical student population. Additionally, the reasons for students taking the COMLEX-USA Level 1 only, or both the COMLEX-USA Level 1 and USMLE Step 1, were not investigated in this study. This may also have a bearing in a student's examination preparation, which may influence the results of the study. There is a potential for a self-selection bias because stronger candidates may opt to take both the USMLE Step 1 and the COMLEX-USA Level 1, thereby biasing the results. That possibility could be investigated in a future study to determine whether there is a correlation in students' preclinical grade point average and those who took both the COMLEX-USA Level 1 and USMLE Step 1 versus those who only took the COMLEX-USA Level 1. We plan to use this study as a springboard for further investigation to include the involvement of different osteopathic medical schools in the future. The USMLE and COMLEX-USA are primarily designed as licensing examinations, and the repurposing for secondary use by programs/program directors for resident selection was not their original intention.1,2 Finally, the COMLEX-USA Level 1 and USMLE Step 1 are distinct examinations. Although there are some similarities, there are also some major differences in the content tested between the 2 examinations, with the focus on osteopathic practice and principles in the COMLEX-USA being the largest difference.
Conclusion
Program directors of ACGME-accredited programs should use caution when using any formula to derive and calculate USMLE Step 1 scores from COMLEX-USA Level 1 scores. Although a strong correlation does exist between the 2 examinations, program directors are encouraged to familiarize themselves with, and evaluate the content of, USMLE Step 1 and COMLEX-USA Level 1 independently.

Scatterplot of the Paired Comprehensive Osteopathic Medical Licensing Examination of the United States (COMLEX-USA) Level 1 and the United States Medical Licensing Examination (USMLE) Step 1 Scores Illustrating the Relationship Between the Examinations
Pearson correlation and regression analysis were applied.
Author Notes
All authors are in the College of Osteopathic Medicine of the Pacific at Western University of Health Sciences. Albert S. Lee, PharmD, is a Medical Student; Lynn Chang, MA, is a Medical Student; Eric Feng, Hon BSc, is a Medical Student; and Scott Helf, DO, MSIT, is Assistant Dean of Academic Informatics and Chief Technology Officer.
Funding: The authors report no external funding source for this study.
Conflict of interest: The authors declare they have no competing interests.



