Article Text

Calculator for predicting the probability of faculty promotion in an academic medical centre
  1. May May Yeo1,
  2. Shih-Hui Lim1,
  3. Anshul Kumar2,
  4. Anne W Thompson2
  1. 1Office of Academic Medicine, Duke-NUS Medical School, Singapore
  2. 2Health Professions Education, MGH Institute of Health Professions, Boston, Massachusetts, USA
  1. Correspondence to Dr May May Yeo, Office of Academic Medicine, Duke-NUS Medical School, Singapore 169547, Singapore; gmsymm{at}nus.edu.sg

Abstract

Objective The academic medical centre (AMC), with over 2200 faculty members, annually manages approximately 300 appointments and promotions. Considering these large numbers, we explored whether machine learning could predict the probability of obtaining promotional approvals.

Methods We examined variables related to academic promotion using predictive analytical methods. The data included candidates’ publications, the H-index, educational contributions and leadership or service within and outside the AMC.

Results Of the five methods employed, the random forest algorithm was identified as the ‘best’ model through our leave-one-out cross-validation model evaluation process.

Conclusions To the best of our knowledge, this is the first study on the AMC. The developed model can be deployed as a ‘calculator’ to evaluate faculty performance and assist applicants in understanding their chances of promotion based on historical data. Furthermore, it can act as a guide for tenure and promotion committees in candidate review processes. This increases the transparency of the promotion process and aligns faculty aspirations with the AMC’s mission and vision. It is possible for other researchers to adopt the algorithms from our analysis and apply them to their data.

  • medical leadership
  • career development
  • mentoring
  • data

Data availability statement

No data are available.

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This is an open access article distributed in accordance with the Creative Commons Attribution Non Commercial (CC BY-NC 4.0) license, which permits others to distribute, remix, adapt, build upon this work non-commercially, and license their derivative works on different terms, provided the original work is properly cited, appropriate credit is given, any changes made indicated, and the use is non-commercial. See: http://creativecommons.org/licenses/by-nc/4.0/.

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WHAT IS ALREADY KNOWN ON THIS TOPIC

  • Advances in machine learning, a subset of artificial intelligence, have been explored to improve patient care quality, reduce clinician workload and revolutionise the practice of medicine. Concurrently, interest in the application of algorithms when making hiring decisions is growing, and studies have documented the association of academic productivity factors with the promotion or attainment of senior academic ranks.

WHAT THIS STUDY ADDS

  • Our best algorithms yielded the predicted probabilities of faculty promotion to a high degree of accuracy.

HOW THIS STUDY MIGHT AFFECT RESEARCH, PRACTICE OR POLICY

  • We created a tool to predict the probability of faculty promotions using data on faculty research, education, services and leadership contributions. This tool provides evidence-based guidance for candidates seeking academic promotions. It aids the leadership, tenure and promotion committee members within academic medical centres in reviewing and advising aspiring candidates for promotion.

Introduction

The application of algorithms in making hiring decisions has attracted considerable interest.1 Chalfin et al2 used machine learning to predict worker productivity in hiring decisions, including teacher tenure decisions. Punnoose and Ajit predicted employee turnover by using machine learning algorithms. They cited several studies that predicted the same regarding employee turnover.3 Despite these developments, there is a paucity of literature on the application of algorithms to tenure and promotion decisions in an academic medical centre (AMC). We aimed to address this gap by answering the following research question: Can the probability of senior faculty appointment or promotion be predicted with reasonable and significant accuracy using faculty research, education, service and leadership contributions within an AMC? We examined the variables related to these contributions using predictive analytical methods.

Gennatas and Chen termed machine learning as ‘procedures that allow learning from data’ (Gennatas and Chen, p.7).4 Chalfin et al argued that prediction via machine learning was better than the traditional causal inference approach as it could ‘… trade off bias and variance to maximise out-of-sample prediction accuracy’ (Chalfin et al, p.124).2

As an extension of Chalfin et al’s premise, we sought to understand whether machine learning could help predict the probability of obtaining academic promotion approval in applications received by the faculty affairs department of the AMC. This could form the basis of a ‘tenure and promotion calculator’ that faculty candidates could use to evaluate their probability of being promoted. This tool can provide evidence-informed decision-making support for tenure and promotion committees. The output from the calculator could be combined with an additional advisory programmed into the calculator or mentoring sessions with the faculty preparing for promotion.

Fox and Bunton advocated clear articulation and consistent application of tenure and promotion policies in strategic talent management to meet imminent national healthcare needs.5 Our tool facilitates transparency and consistency in the application of tenure and promotion policies in an AMC.

Materials and methods

Dataset

The faculty structure of the AMC includes regular and clinical ranks, adjuncts, and visiting appointments. Regular rank tracks comprise research and educational pathways. Clinical rank appointments are accorded to clinicians who focus on clinical/medical care within the AMC, though they may have quantifiable academic or leadership involvement. Both regular and clinical rank appointments have four levels: instructor, assistant professor, associate professor and professor. This study focused on (1) regular non-tenure-track appointments and (2) clinical associate professors and professor appointments. Accordingly, the dataset comprises candidates who were nominated for promotion to associate professors, professors, clinical associate professors and clinical professors between January 2018 and June 2021.

Promotion from instructor to assistant professor was not studied as associate consultants and consultants could obtain appointments as instructors and assistant professors, respectively. The promotion criteria and pathways are summarised in table 1. The AMC promotion process is illustrated in figure 1.

Figure 1

General promotion process of associate professors and professors in the AMC (adapted from the AMC’S website). AMC, academic medical centre.

Table 1

Criteria for academic appointment and promotion of faculty (adapted from the AMC’s website)

In total, 255 candidates were presented for promotion (units of observation). The 21 independent variables are listed in table 2, including a relevant explanation. The independent variables included the candidates’ information, such as department and title to be promoted, research information, including number of publications in peer-reviewed journals and grant funding, teaching contributions, and leadership or services roles. The dependent variable was promotion approval.

Table 2

List of variables and description

Tools

The R software was used for all analyses.6 We used cross-validation to rigorously test the predictions of five algorithms: standard random forest, standard logistic regression, standard K nearest neighbours (KNN), standard KNN regression and ‘adaptive minimum match’ KNN.7 8

We ascribed Browne’s philosophy that it is more desirable to compare and choose from a set of competing models than to decide whether a single model is good (Browne, p.110).9 Therefore, we presented five algorithms or models for which we selected the ‘best’ as explained in the Model evaluation criteria section.

Model evaluation

The leave-one-out cross-validation method yields a predicted probability of promotion for each nomination that the computer calculates without knowing the true outcome of the nomination candidate. We classified the predicted probability as ‘approved’ if it was above a threshold value and ‘not Approved’ if it was below the threshold value. The threshold value for each algorithm was determined using the criteria described in the Model evaluation criteria section. The predicted outcomes were compared with the actual outcomes for each of the five algorithms. The training of the data using each of the five algorithms is described in online supplemental appendix 1.

Supplemental material

Model evaluation criteria

All the models were compared using the following metrics: accuracy, specificity, sensitivity and F1.10 The evaluation criteria were as follows:

  1. True positive: The candidate was promoted and was predicted to be promoted (1).

  2. False positive: The candidate was not promoted but was predicted to be promoted (1).

  3. True negative: The candidate was not promoted and was predicted as not promoted (0).

  4. False negative: The candidate was promoted and predicted as not promoted (0).

For clarity, table 3 lists the confusion matrix used.

Table 3

Confusion matrix for evaluation of model outcome

It is difficult for the leadership to manage when faculty members have been advised that they would likely be promoted when they were eventually not, that is, a false positive outcome. Therefore, we optimised our model thresholds by reducing the number of false positives to significantly low, and concurrently, the sensitivity or number of true negatives to significantly high. Figure 2 outlines the steps involved in this process.

Figure 2

Using machine learning to develop a promotion calculator *Models: LOOCV RF, leave-one-out cross-validation with random forest; LOOCV GLM, leave-one-out cross-validation with logistic regression; LOOCV KNN, Leave-one-out cross-validation with K nearest neighbour classification; LOOCV KNN Regression, Leave-one-out cross validation with K nearest neighbour regression; LOOCV Adaptive KNN, Leave-one-out cross validation with adaptive K nearest neighbour.

Results

Table 4 compares the metrics of the five models.

Table 4

Evaluation of the five machine learning models in predicting probability of faculty promotion

The random forest was the best model, with the highest sensitivity and F1 scores. F1 is the harmonic mean of precision and recall, with a score between 0 and 1, where 1 is a perfect score. A good F1 score indicates a model with low false positives and false negatives, that is, it correctly identifies real threats and not false alarms.

For the best random forest model, we generated predicted probabilities of promotion for each candidate. Thereafter, we grouped the candidates into ranges of predicted probabilities that could be useful as potential candidates, as listed in table 5.

Table 5

Evaluation of the disaggregated confusion matrix of the best model, that is, random forest

The actual proven rate of 37/(14+37)=0.73 fell within the predicted probability range of 0.7–0.8. Similarly, the actual proved result of 53/(9+53)=0.85 fell within the predicted approval probability range of 0.8–0.9. Similar results are obtained for the other two ranges. We decided that any prediction under 0.7 is not sufficiently reliable to provide a candidate with a specific probability. Empirically, we find that candidates with predicted probabilities under 0.7 have been promoted 57% of the time in the past. All these probabilities can be communicated transparently to the candidates.

The random forest model yielded the highest sensitivity and F1. Out of 10 candidates who were not promoted, our ‘best’ model could predict about eight of them. This was important from the school’s leadership perspective, as support and guidance could be provided to as many future faculty candidates as possible who were predicted to be unsuccessful in promotion application. Simultaneously, our model minimises the number of false positives, which in turn minimises the encouragement of candidates whose portfolios are not sufficiently robust for promotion.

We further evaluated the model by disaggregating the predictions into four ranges and comparing the predictions in each range with the actual probability. The predicted probability ranges are consistent with the actual results, indicating a high level of accuracy. For example, when a faculty candidate received a predicted probability of promotion from the model, they could understand that historically, others receiving the same prediction had obtained promotions at a similar rate to the predicted probability. This information could facilitate faculties in deciding whether to apply for promotion. Conversely, another faculty member whose probability of being promoted was in a range less than 0.7 could decide to arrange for further guidance with the leadership and faculty affairs department.

Discussion

In this study, we created a tool to predict the probability of faculty promotion using data on faculty research, education, leadership and service contributions. We identified the basis for a calculator that could be adopted in practice to aid leadership, tenure and promotion committees, as well as to improve academic progression guidance for the faculty of the AMC.

In developing the calculator, the scenario in which candidates were informed that they would be successful but were eventually not promoted was one that was difficult for the leadership to manage and had to be significantly minimised. This necessitated the use of sensitivity as our main evaluation criterion for identifying the best model, that is, minimising the number of False positives or encouraging candidates whose portfolios were not sufficiently robust and would not be promoted.

Jarrahi called for a new ‘human–machine collaboration’, where the superior analytical capabilities of artificial intelligence complement human decision makers who possess subconscious decision heuristics to evaluate and facilitate decisions and outcomes.11 Accordingly, we suggest that our tool can be used to guide faculty seeking promotions. It can help the leadership and faculty affairs departments by providing advice to those who are in need. Tenure and promotion committees can use this as a reference for their evaluation decisions.

Furthermore, it can be used to identify potential cases of bias or discrimination. If a faculty member was not promoted, but the model predicted that he/she had a greater than 90% chance of being promoted, this could raise a flag for the promotion committee to review the application again and the reasons for not promoting the candidate.

Limitations

The algorithm was limited by the nature of the data on which it was trained. The dataset in this study consisted of clinicians from the AMC. Different outcomes would occur when using other datasets, such as those from AMC biomedical researchers. Ongoing refinement of the model is required through the constant input of fresh tenure and promotion review outcomes.

Although the data in the study were collected over 3.5 years, the time variable was excluded to avoid the identification of individual faculty candidates during this period. Thus, it is impossible to associate any changes with the dependent variable (promotional approval) associated with time.

Additionally, the arms-length reference letters required for promotion to associate professor, professor and clinical professor were excluded in the calculator, as they could not be adequately quantified.

Xu et al advocated that ‘… there is no machine substitute for higher-level interactions, critical thinking and ambiguity …’.12 Similarly, our findings complement but are not substitutes for careful and informed evaluations by candidates seeking academic progression and academic committees in tenure and promotion decisions.

Conclusions

Through predictive modelling that employed machine learning algorithms, we established the groundwork for a ‘promotion calculator’ that provides evidence-informed guidance to candidates seeking academic promotion. It aids the leadership, tenure and promotion committee members within an AMC in reviewing and advising aspiring candidates for promotion.

Data availability statement

No data are available.

Ethics statements

Patient consent for publication

Ethics approval

The National University of Singapore Institutional Review Board approved this study (reference code: NUS-IRB-2020–569).

References

Supplementary materials

  • Supplementary Data

    This web only file has been produced by the BMJ Publishing Group from an electronic file supplied by the author(s) and has not been edited for content.

Footnotes

  • Contributors MMY developed the research idea, performed the analysis and wrote the manuscript. S-HL reviewed and edited the manuscript. AK verified the methods used and critically reviewed the manuscript. AWT provided guidance and support throughout the study. MMY accepts full responsibility for the work and/or the conduct of the study, had access to the data, and controlled the decision to publish.

  • Funding The authors have not declared a specific grant for this research from any funding agency in the public, commercial or not-for-profit sectors.

  • Competing interests None declared.

  • Provenance and peer review Not commissioned; externally peer reviewed.

  • Author note Within the healthcare system of Singapore, associate consultants and consultants are specialists who have completed residency/fellowship or basic and advanced specialist training and fulfil several conditions outlined in the Singapore Ministry of Health Holdings website, https://www.physician.mohh.com.sg/medicine/medical-service-career-path.

  • Supplemental material This content has been supplied by the author(s). It has not been vetted by BMJ Publishing Group Limited (BMJ) and may not have been peer-reviewed. Any opinions or recommendations discussed are solely those of the author(s) and are not endorsed by BMJ. BMJ disclaims all liability and responsibility arising from any reliance placed on the content. Where the content includes any translated material, BMJ does not warrant the accuracy and reliability of the translations (including but not limited to local regulations, clinical guidelines, terminology, drug names and drug dosages), and is not responsible for any error and/or omissions arising from translation and adaptation or otherwise.