A validation analysis of the resident matching algorithm

Abstract The intent of the residency algorithm is to match medical graduates and programs based on their ranked preferences to improve applicant-program fit and patient care. The algorithm has been used for more than a generation without an external validation that can provide feedback to improve it. This validation study runs the algorithm 2300 times using randomized applicant and program ranking inputs. The study finds that the algorithm’s matching outcomes are related to the input preferences of programs but unrelated to those of applicants. Odds ratio of matching related to the program’s ranking of applicants was 0.64 (95 CI 0.63, 0.55; P < 0.001), suggesting a significant, lower odds of matching. The odds ratio of matching related to the program’s number of positions was 2.10 (95 CI 2.06, 2.15; P < 0.001), again suggesting a significant, larger odds of matching to larger programs. The odds ratio of matching related to the applicants’ rank of programs was 1.01 (95 CI 0.99, 1.03; P < 1), indicating that the influence of applicants’ ranks of programs have a significant, but small effect on odds of matching. Odds ratio of matching related to the size of the applicant’s rank-order-list, is 1.04 (95 CI 1.02,1.06; P < 0.01), which shows that while the relationship between the variables is statistically significant, the change in odds of matching for an applicant with a larger list is only 1.04 times the original odds. The results suggest ways of improving the algorithm to achieve better applicant-program fit and higher applicant matching odds.

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Publication Details

Journal
Annals of Operations Research
Published
2025-05-20
DOI
https://doi.org/10.1007/s10479-025-06661-1
Primary Topic
Privacy-Preserving Technologies in Data
Type
article
Field-Weighted Citation Impact
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article

A validation analysis of the resident matching algorithm

Briance Mascarenhas, Kartikeya S. Puranam
Annals of Operations Research
Privacy-Preserving Technologies in Data
article

A validation analysis of the resident matching algorithm

Briance Mascarenhas, Kartikeya S. Puranam
article en

Abstract

Abstract The intent of the residency algorithm is to match medical graduates and programs based on their ranked preferences to improve applicant-program fit and patient care. The algorithm has been used for more than a generation without an external validation that can provide feedback to improve it. This validation study runs the algorithm 2300 times using randomized applicant and program ranking inputs. The study finds that the algorithm’s matching outcomes are related to the input preferences of programs but unrelated to those of applicants. Odds ratio of matching related to the program’s ranking of applicants was 0.64 (95 CI 0.63, 0.55; P < 0.001), suggesting a significant, lower odds of matching. The odds ratio of matching related to the program’s number of positions was 2.10 (95 CI 2.06, 2.15; P < 0.001), again suggesting a significant, larger odds of matching to larger programs. The odds ratio of matching related to the applicants’ rank of programs was 1.01 (95 CI 0.99, 1.03; P < 1), indicating that the influence of applicants’ ranks of programs have a significant, but small effect on odds of matching. Odds ratio of matching related to the size of the applicant’s rank-order-list, is 1.04 (95 CI 1.02,1.06; P < 0.01), which shows that while the relationship between the variables is statistically significant, the change in odds of matching for an applicant with a larger list is only 1.04 times the original odds. The results suggest ways of improving the algorithm to achieve better applicant-program fit and higher applicant matching odds.

Annals of Operations Research
Rutgers, The State University of New Jersey (US)
Openalex Percentile: Top 95%
Privacy-Preserving Technologies in Data
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A validation analysis of the resident matching algorithm — Briance Mascarenhas, Kartikeya S. Puranam · Annals of Operations Research (2025) | TGRS Research Map | TGRS