Measuring Progressive Independence With the Resident Supervision Index: Theoretical Approach

PhD, JD,
DO,
MS,
PhD,
MD, MS,
MD,
MD, MA,
MD, MPH,
PhD,
MD, MPH,
MD, PhD,
MD,
MD, and
BS
Online Publication Date: 01 Mar 2010
Page Range: 8 – 16
DOI: 10.4300/JGME-D-09-00083.1
Save
Download PDF

Abstract

Background

Graduate medical education is based on an on-the-job training model in which residents provide clinical care under supervision. The traditional method is to offer residents graduated levels of responsibility that will prepare them for independent practice. However, if progressive independence from supervision exceeds residents' progressive professional development, patient outcomes may be at risk. Leaders in graduate medical education have called for “optimal” supervision, yet few studies have conceptually defined what optimal supervision means and whether optimal care is theoretically compatible with progressive independence, nor have they developed a test for progressive independence.

Objective

This research develops theory and analytic models as part of the Resident Supervision Index to quantify the intensity of supervision.

Methods

We introduce an explicit set of assumptions for an ideal patient-centered theory of optimal supervision of resident-provided care. A critical assumption is that informed attending staff will use available resources to optimize patient outcomes first and foremost, with residents gaining clinical competencies by contributing to optimal care. Next, we derive mathematically the consequences of these assumptions as theoretical results.

Results

Under optimal supervision, (1) patient outcome is expected to be no worse than if residents were not involved, (2) supervisors will avoid undersupervising residents (when patients are at increased risk for poor outcomes) or oversupervising residents (when residents miss clinical opportunities to practice care), (3) optimal patient outcomes will be compatible with progressive independence, (4) progressive development can be inferred from progressive independence whenever residents contribute to patient care, and (5) analytic models that test for progressive independence will emphasize adjusting the association between length of graduate medical education training and supervision for case complexity and clinic workload, but not patient health outcomes.

Conclusion

An explicit theoretical framework is critical to measure scientifically progressive independence from supervision using graduate medical education data.

Background

In this article, we introduce the patient-centered theory of optimal supervision. The theory is designed to explain supervision of residents engaged in outpatient care for the purpose of testing for progressive independence in graduate medical education (GME). The theory is part of the Resident Supervision Index (RSI), designed to measure and analyze the intensity of resident supervision in outpatient care settings.

Development of a theoretical framework is critically important to resident supervision. Specifically, theory makes explicit all of the underlying assumptions necessary for statistical inferences from data analyses, provides the basis to define optimal supervision, and offers frameworks to develop guidelines that can help teaching staff balance patient care needs with resident education demands. Theory is used to derive hypotheses, develop analytic models to test those hypotheses, and guide formulation of intensity scores1 and collection of GME data.2

Progressive Independence

Graduate medical education is based on an apprenticeship model of on-the-job training in which resident trainees provide patient care under the supervision of attending physicians. In teaching settings, attending physicians are faced with competing demands. First and foremost, they must ensure that patients receive safe and effective care, while at the same time providing clinical opportunities that help residents develop professionally into self-regulating, autonomous, independently practicing physicians, which is the ultimate goal of GME.37

The traditional method for achieving GME goals is to provide residents with progressive independence from supervision. That is, residents are offered graduated levels of responsibility with increasing responsibilities for more complex cases as they progress in their GME training.810 In practice, progressive independence from supervision is largely based on the individual's level of training, with responsibilities increasing with each postgraduate year of training completed. Thus, by virtue of promotion from one postgraduate year level to the next, some residents may become more autonomous from supervision than what may be justified based on their clinical competence. Undersupervised residents, whose progressive independence from supervision grows at a rate faster than their progressive professional development in clinical competencies, may put patients at increased risk of poor outcomes. On the other hand, oversupervised care may fail to offer residents the clinical opportunities they need to develop professionally, leaving them unprepared at the end of their training program to enter independent practice. To reconcile patient care with teaching goals, some GME scholars7,11,12 and the Institute of Medicine13 have proposed that attending physicians must offer an “optimal” level of supervision. However, few studies have defined what optimal means, indicate whether optimal supervision is achievable and compatible with progressive independence, or provide insight regarding how to test for the presence of optimal supervision using GME data. Understanding supervision is essential for teaching facilities to effectively function with increasing patient workloads, growing education demands, and dwindling resources.

Resident Supervision Index

The 4-part RSI method is designed to measure and explain the intensity of resident supervision during clinical encounters with outpatients. Designed to coordinate as a single method, these parts include the following: (1) RSI Inventory, a content-valid feasible and reliable instrument administered to attending staff and residents to collect supervision data describing outpatient care encounters2; (2) RSI scores calculated from RSI Inventory responses to quantify the intensity of resident supervision1; (3) RSI theory used to derive testable hypotheses; and, finally, (4) RSI analytic models that drive the analyses of RSI scores to empirically test theory-driven hypotheses.

Theory of GME Supervision

To test for progressive independence, this article describes the RSI theoretical framework, or patient-centered theory of optimal supervision. The theory was designed to explain how attending faculty supervises the time that residents engage in patient care. The theory was not designed to explain information-gathering oversight, didactic training, resident evaluation, or faculty research activities and administrative duties. These elements are left for future research and development.

The theory was represented as a mathematical framework (appendix) to (1) define optimal supervision and (2) calculate scores that measure the intensity of resident supervision during patient care. To test for progressive independence, we also (3) derive specific hypotheses, (4) develop reduced-form models for analyses, and (5) identify conditions when an inverse association between length of GME training and intensity scores (progressive independence) can be used to infer that the clinical performance of a resident has progressed (progressive development).

Methods

We begin with a set of explicit theoretical assumptions about patient-centered optimum supervision of resident-provided care. We then derive the consequences of those assumptions as theoretical results.

The model describes supervision as resource allocation of scarce clinic resources, including residents, so as to maximize the collective health outcomes of all clinic patients seen in the teaching clinic. The model narrowly focuses on the tension facing supervisors between putting time into direct patient care or, alternatively, into supervising residents, who in turn provide patient care. For the sake of simplicity, and without loss of generality, we ignore other activities that can divert staff time away from resident supervision such as research, administration, and other teaching functions. Inspiration came from industrial economics, where market firms produce products by allocating scarce human resources among competing activities to maximize production. Analogously, industrial firms are teaching clinics, products are patient outcomes, human resources are attending staff and residents, and competing activities are staff-provided patient care and staff supervision of resident-provided care. Assumptions are the following:

(1) Optimal Supervision

Attending staff will supervise residents and engage in direct patient care so as to maximize, first and foremost, the mean health outcome for all clinic patients.

(2) Informed Decision

Attending staff makes decisions concerning direct supervision of patient care after becoming informed about the patient's case and the resident's performance. This assumption follows after attending staff has engaged in resident oversight and collected information necessary to make optimal decisions.

(3) Patient Assignment

Patients who present to the teaching clinic are assigned to a resident for resident-provided care or are retained by professional staff for staff-provided care.

 (3a) The number of patients assigned to each resident is predetermined based on the complexity of patient cases, as well as clinic protocols, GME program requirements, and government regulations.

(4) Professional Time

 (4a) Attending staff will provide care directly to patients or supervise residents engaged in providing patient care.

 (4b) The efficacy of residents to provide professional services and improve patient outcomes will depend in part on the following:

  (4b1) The resident's clinical experience (eg, competencies, judgment, prior training, and outcomes achieved on prior cases) and

  (4b2) The clinical complexities of assigned cases.

 (4c) Attending staff directly supervises none, some, or all of the time that residents spend engaged in providing patient care.

(5) Patient Outcomes

Attending staff and residents prioritize their time to make the largest possible improvement in patient outcomes with each additional minute from the following:

 (5a) Staff professional time and

 (5b) Resident professional time. (However, these contributions will eventually plateau when any further time will not improve patient outcomes and, if continued, may even become harmful.)

 (5c) Quality. Professional contributions to outcome will depend on the quality of patient care and effectiveness of resident supervision, which in turn depend on patients, residents, attending physicians, the teaching clinic, and the GME program characteristics.

(6) Resident Learning

Residents learn clinical competencies by engaging in optimally supervised care.

Theoretical Results

The following subsections represent the theoretical consequences of the assumptions, derived mathematically in the appendix.

Optimal Supervision Identified

Optimal supervision occurs when the attending physician supervises residents so that the contribution of an additional minute of direct patient care to the outcome of staff-assigned patients, prioritized based on patient clinical needs, equals the contribution of an additional minute of resident supervision to the outcome of resident-assigned patients, prioritized based on resident supervision needs. That is, supervisors will allocate time among patients and between patient care and supervision so as to achieve the greatest effect on patient outcome.

Theoretical Supervision Intensity Score

Theoretical scores, represented symbolically by RSI, equal the proportion of time when the resident was providing patient care that was also being directly supervised by attending staff. Scores vary between 0 (no supervision) and 1 (the entire time residents were engaged in patient care is directly supervised by staff). The theoretical score is equivalent to the summary patient care encounter score [RSIcare], as operationally defined elsewhere.1

Hypotheses Derived

Progressive Independence

Residents with longer length of GME training will be assigned to more patient care responsibilities.

Complexity Effect

Residents facing more complex cases will face more intensive supervision. The complexity effect comprises 2 components. The efficacy component describes residents who need more supervision to handle more complex clinical cases. The assignment component describes residents who are allowed more time to manage more complex cases. The complexity-effect hypothesis follows whenever the assignment component is negligible.

Workload Effect

Residents providing care in clinics where staff faces greater workloads will be assigned to more patient care responsibilities and thus face less intensive supervision.

Patient Outcomes Effect

Patient outcomes and supervision intensity will covary with clinic workload so that better patient outcomes will be associated with more intensive supervision across clinics with less clinic workload.

Statistical Models

To test for progressive independence under optimal supervision, associations between supervision intensity and length of GME training should be adjusted to control for variation in (covariates) patient case complexity, clinic workload, and characteristics of the patient, resident, attending staff, clinic, and training program that reflect the efficacy of care and resident supervision. The RSI scores are bounded between 0 and 1 and are expected to be heteroskedastic, bimodal, and highly skewed. Thus, associations between scores and covariates are calculated in 2 parts, beginning with logistic regressions to predict whether residents were directly supervised (RSI > 0) or not supervised (RSI  =  0), followed by linear regressions using a log linking function (ln[RSI / (1-RSI)]) to assess supervision intensity for those encounters when direct supervision has occurred (RSI > 0). Applied in health economics,14,15 the first part computes the likelihood that any supervision occurs during the encounter, and, if supervised, the second part computes the probability that the resident is supervised at any given encounter moment. By exponentiating regression coefficients, effect sizes for both parts are calculated as odds ratios.

Statistical Inference

Resident professional development can be inferred from tests for progressive independence whenever attending staff are patient-centered optimal supervisors over residents who contribute positively to patient care. Motivation for the latter condition is that residents must be engaged in patient care before a theory based on resource allocation can meaningfully explain supervision behavior.

Discussion

This article presents an explicit theory of patient-centered optimal supervision as part of the RSI method. The RSI is designed to explain the intensity by which residents are supervised during patient care. The theory is called patient centered because supervisors are assumed to allocate scarce clinic resources, including residents, among all patients being seen in the clinic to maximize, first and foremost, the health outcomes of those clinic patients. Supervision is thus described in theory as resource allocation to achieve a single objective (patient outcomes) rather than as trade-offs between 2 objectives (resident education outcomes and patient outcomes).

Several theoretical consequences were derived. First, patient outcomes are expected to be no worse than if residents were uninvolved in care because residents could always be removed from care if removal enhances (maximizes) patient outcomes. Second, residents are expected to be neither undersupervised (patient outcomes suffer) nor oversupervised (residents miss clinical opportunities that would not have harmed patient outcomes) if staff uses resident time and other scarce clinic resources efficiently to optimize patient outcomes. Third, optimal health outcomes for patients and progressive independence for residents are theoretically compatible goals. Progressive professional development can be inferred from an empirical finding of progressive supervision independence whenever an informed attending staff maximizes patient outcomes by engaging residents, who in turn contribute to patient care. Fourth, to test for progressive independence, the association between length of GME training (predictor) and resident supervision (dependent variable) must be computed after “controlling” for other covariates before inferring progressive professional development in resident competencies. These covariates include case complexity, clinic workload, and other resident, staff, patient, and clinic characteristics. These covariates, however, do not theoretically include the patient outcomes of resident supervision. This is important because patient health outcomes are subject to measurement errors16 and endogenity biases.17

Not having to empirically measure outcomes from a theory built on outcome maximization is not without precedent. For example, economists explain product demand for utility-maximizing consumers without actually measuring utility. Alternatively, a dual-objective theory may explain supervision as maximizing 2 simultaneous objectives of patient outcomes and resident education outcomes. Under dual-objectives, staff may face conflicting goals between furthering education opportunities for residents and enhancing care for patients. Understanding how supervisors trade off patient and education outcomes is necessary before professional development could be inferred from a test for progressive independence. For example, it would be incorrect to infer to professional development any increases in clinical responsibility that faculty may have assigned to residents at the expense of poorer outcomes to patients. The patient-centered theory does not present conflicts from patient-resident trade-offs because staff is always assumed to maximize only the single objective of patient outcomes. Thus, variation in patient outcomes results from changing circumstances and from not changing preferences or values for patient care versus education goals.

Ultimately, patient-centered supervision is a behavioral assumption that must be subjected to empirical testing in GME settings. For example, the theory predicts that achieved patient outcomes and actual supervision intensity will be inversely related whenever greater workload demands pressure staff to transfer more care responsibility to residents. The transfer of responsibility is consistent with the empirical literature in which associations between supervision4,1822 and workload23,24 relative to patient outcomes have been observed. Our single-objective theoretical framework interprets these associations as manifestations of scarce medical resources rather than deliberate trade-offs between patient needs and trainee education goals. The RSI framework is consistent with mandates from GME accrediting bodies, who recognize the relationship between supervision and workload by limiting the number of trainees who can be supervised at any single time by an attending physician. The use of physician time to measure supervision intensity is also supported by existing literature in which attending physicians have been observed to spend more time overseeing the care of less experienced residents2527 and changing or validating resident-provided treatment plans,28 patient history, diagnostic testing, diagnosis, follow-up care, and medication management.29,30 Supervision time has also been observed to be associated with greater compliance with process-of-care guidelines in emergency departments,18 more correct readings of computed tomography images,22 lower death and complication rates from surgery,19,31 decreased medical errors, and fewer malpractice claims.4 Finally, a critical assumption underlying patient-centered supervision is that residents contribute to clinical workload. Resident contributions to workload have been observed in the literature for surgical32 and medical33 residents. More research is needed to understand how supervision relates to patient health, trainee education outcomes, and clinic workload. For example, our mathematical theory predicts that the strength of associations between supervision intensity and patient outcomes will diminish whenever more experienced residents treat less complex cases. Future studies should consider how the strength of these intensity-outcome associations may vary by clinic, resident, patient, and attending physician characteristics as a means to test a patient-centered orientation among supervisors of resident-provided care.

The patient-centered framework may also serve as a foundation for ethical guidelines to help faculty balance their teaching and clinical care duties. While optimal supervision has been characterized as balancing patient care quality and safety against resident education,12,34 how faculty balance these complex trade-offs is not fully understood. Our theoretical framework also builds on the Institute of Medicine's report that calls on GME to expand the role of supervision to encompass “optimized” patient care and education goals and that recommends “… improvements in the content of residents' work, a patient workload and intensity appropriate to learning, and more frequent consultations between residents and their supervisors.”13 (p. 19) Finally, our theory is consistent with the call for more GME research by the Department of Veterans Affairs Blue Ribbon Panel on VA-Medical School Affiliations.35

The approach used in this study has several limitations. First, the theory focuses on direct supervision over patient care and ignores other complexities with staffing time and faculty demands.36,37 Second, it also focuses only on intensity of supervision and not on the content, appropriateness, timeliness, or quality of supervision. Third, the theory does not consider other activities competing for staff time such as research, service, other teaching, and administrative duties. Fourth, it does not describe how patient cases are assigned to residents, how clinic administration negotiates patient volume, or how staff time is determined.

Conclusions

Patient-centered theory of optimal supervision provides the theoretical basis for a test for progressive independence and lays the foundation to understand associations among supervision intensity, professional development, clinic workload, case complexity, and patient outcomes. Good theory is critical if scientific research is to help properly inform GME policy.

References

  • 1
    Kashner, T. M.
    ,
    J. M.Byrne
    ,
    B. K.Chang
    , et al
    . Measuring progressive independence with the Resident Supervision Index: empirical approach.J Grad Med Educ2010.
  • 2
    Byrne, J. M.
    ,
    T. M.Kashner
    ,
    S.Gilman
    , et al
    . Measuring the intensity of resident supervision in the Department of Veterans Affairs: the Resident Supervision Index.Acad MedIn press.
  • 3
    Shojania, K. G.
    ,
    K. E.Fetcher
    , and
    S.Saint
    . Graduate medical education and patient safety: a busy–and occasionally hazardous–intersection.Ann Intern Med2006. 145 (
    8
    ):592598.
  • 4
    Singh, H.
    ,
    E. J.Thomas
    ,
    L. A.Petersen
    , and
    D. M.Studdert
    . Medical errors involving trainees: a study of closed malpractice claims from five insurers.Arch Intern Med2007. 167 (
    19
    ):20302036.
  • 5
    Asch, D. A.
    and
    R. M.Parker
    . The Libby Zion case.N Engl J Med1988. 318 (
    12
    ):771775.
  • 6
    Feinstein, A. R.
    System, supervision, standards, and the epidemic of negligent medical errors. Arch Intern Med 1997. 157 (
    12
    ):12851289.
  • 7
    Hewson, M. G. A. B.
    and
    N. M.Jensen
    . An inventory to improve clinical teaching in the general internal medicine clinic.Med Educ1990. 24 (
    6
    ):518527.
  • 8
    Kennedy, T. J.
    ,
    G.Regehr
    ,
    G. R.Baker
    , and
    L. A.Lingard
    . Progressive independence in clinical training: a tradition worth defending?Acad Med2005. 80 (
    10
    ):S106S111.
  • 9
    Kennedy, T. J.
    ,
    G.Regehr
    ,
    G. R.Baker
    , and
    L.Lingard
    . Preserving professional credibility: grounded theory study of medical trainees' requests for clinical support.BMJ2009. 338 (
    91
    ):eb128. doi:10.1136/bmj.b128.
  • 10
    Kennedy, T. J. T.
    ,
    G.Regehr
    ,
    G. R.Baker
    , and
    L. A.Lingard
    . It's a cultural expectation: the pressure on medical trainees to work independently in clinical practice.Med Educ2009. 43 (
    7
    ):645653.
  • 11
    Kilminster, S.
    ,
    D.Cottrell
    ,
    J.Grant
    , and
    B.Jolly
    . AMEE Guide No. 27: effective educational and clinical supervision.Med Teach2007. 29 (
    1
    ):219.
  • 12
    Flynn, T.
    Resident supervision: ACGME bulletin. Available at: http://www.acgme.org/acWebsite/bulletin/bulletin09_05.pdf. Accessed January 21, 2010.
  • 13
    Ulmer, C.
    ,
    D. M.Wolman
    , and
    M. M. E.Johns
    . Committee on Optimizing Graduate Medical Trainee (Resident) Hours and Work Schedule to Improve Patient Safety, National Research Council.Resident Duty Hours: Enhancing Sleep, Supervision, and Safety.
    Washington, DC:
    Institute of Medicine of the National Academies, National Academy Press
    . 2009.
  • 14
    Mullahy, J.
    Much ado about two: reconsidering retransformation and the two-part model in health econometrics. J Health Econ 1998. 17 (
    3
    ):247281.
  • 15
    Kashner, T. M.
    ,
    M. H.Trivedi
    ,
    A.Wicker
    ,
    M.Fava
    ,
    S. R.Wisniewski
    , and
    A. J.Rush
    . The impact of non-clinical factors on care use for patients with depression: a STAR*D report.CNS Neurosci Ther2009. 15 (
    4
    ):320332.
  • 16
    Donabedian, A.
    Aspects of Medical Care Administration.
    Cambridge, MA:
    Harvard University Press
    . 1973.
  • 17
    Heckman, J.
    and
    S.Navarro-Lozano
    . Using matching, instrumental variables, and control functions to estimate economic choice models.Rev Econ Stat2004. 86 (
    1
    ):3057.
  • 18
    Sox, C. M.
    ,
    H. R.Burstin
    ,
    E. J.Orav
    , et al
    . The effect of supervision of residents on quality of care in five university-affiliated emergency departments.Acad Med1998. 73 (
    7
    ):776782.
  • 19
    Fallon Jr, W. F.
    ,
    R. L.Wears
    , and
    J. J.Tepas
    . Resident supervision in the operating room: does this impact on outcome?J Trauma1993. 35 (
    4
    ):556560.
  • 20
    Chang, B. K.
    Resident supervision in VA teaching hospitals: ACGME bulletin. Available at: http://www.acgme.org/acWebsite/bulletin/bulletin09_05.pdf. Accessed January 21, 2010.
  • 21
    Itani, K. M. F.
    ,
    R. G.DePalma
    ,
    T.Schifftner
    , et al
    . Surgical resident supervision in the operating room and outcomes of care in Veterans Affairs hospitals.Am J Surg2005. 190 (
    5
    ):725731.
  • 22
    Velamahos, G. C.
    ,
    C.Fill
    ,
    P.Vassiliu
    ,
    N.Nicolaou
    ,
    R.Radin
    , and
    A.Wilcox
    . Around-the-clock attending radiology coverage is essential to avoid mistakes in the care of trauma patients.Am Surg2001. 67 (
    12
    ):11751177.
  • 23
    Ong, M.
    ,
    A.Bostrom
    ,
    A.Vidyarthi
    ,
    C.McCulloch
    , and
    A.Auerbach
    . House staff team workload and organization effects on patient outcomes in an academic general internal medicine inpatient service.Arch Intern Med2007. 167 (
    1
    ):4752.
  • 24
    Tucker, J.
    Patient volume, staffing, and workload in relation to risk-adjusted outcomes in a random stratified sample of UK neonatal intensive care units: a prospective evaluation. Lancet 2002. 359 (
    9301
    ):99107.
  • 25
    Xakellis, G. C.
    and
    C. L.Gjerde
    . Ambulatory medical education: teachers' activities, teaching cost and residents' satisfaction.Acad Med1995. 70 (
    8
    ):702707.
  • 26
    Irby, D. M.
    Teaching and learning in ambulatory care settings: a thematic review of the literature. Acad Med 1995. 70 (
    10
    ):898931.
  • 27
    Griffith, C. H.
    ,
    N. S.Desai
    ,
    J. F.Wilson
    ,
    E. A.Griffith
    ,
    K. J.Powell
    , and
    E. C.Rich
    . House staff experience, workload, and test ordering in a neonatal intensive care unit.Acad Med1996. 71 (
    10
    ):11061108.
  • 28
    Laidley, T. L.
    ,
    C. H.Braddock
    , and
    S. D.Fihn
    . Did I answer your question? attending physician's recognition of residents' perceived learning needs in ambulatory settings.J Gen Intern Med2000. 15 (
    1
    ):4650.
  • 29
    Gennis, V. M.
    and
    M. A.Gennis
    . Supervision in the outpatient clinic: effects on teaching and patient care.J Gen Intern Med1993. 8 (
    7
    ):378380.
  • 30
    Cyran, E. M.
    ,
    G.Albertson
    ,
    L. M.Schilling
    , et al
    . What do attending physicians contribute in a house officer–based ambulatory continuity clinic?J Gen Intern Med2006. 21 (
    5
    ):435439.
  • 31
    McKee, M.
    and
    N.Black
    . Does the current use of junior doctors in the United Kingdom affect the quality of medical care?Soc Sci Med1992. 34 (
    5
    ):549558.
  • 32
    Pisetsky, M. A.
    ,
    D. A.Lubarsky
    ,
    B. P.Capehart
    ,
    C. K.Lineberger
    , and
    J. G.Reves
    . Valuing the work performed by anesthesiology residents and the financial impact on teaching hospitals in the United States of a reduced anesthesia residency program size.Anesth Analg1998. 87 (
    2
    ):245254.
  • 33
    Campbell, C. R.
    ,
    K. N.Gillespie
    , and
    J. C.Romeis
    . The effects of residency training programs on the financial performance of Veterans Affairs medical centers.Inquiry1991. 28 (
    3
    ):288299.
  • 34
    Farnan, J. M.
    ,
    J. K.Johnson
    ,
    D. O.Meltzer
    ,
    H. J.Humphrey
    , and
    V. M.Arora
    . On-call supervision and resident autonomy: from micromanager to absentee attending.Am J Intern Med2009. 122 (
    8
    ):784788.
  • 35
    Cohen, J. J.
    Blue Ribbon Panel on VA–Medical School Affiliations The Report of the Blue Ribbon Panel on VA–Medical School Affiliations: Transforming an Historic Partnership for the 21st Century.
    Washington, DC:
    Dept of Veterans Affairs
    . 2009.
  • 36
    Tilburt, J. C.
    ,
    S. D.Goold
    ,
    N.Siddiqui
    , and
    R. S.Mangrulkar
    . How do residents use information in real-time?J Eval Clin Pract2007. 13 (
    5
    ):772780.
  • 37
    Tilburt, J. C.
    ,
    R. S.Mangrulkar
    ,
    S. D.Goold
    ,
    N. Y.Siddiqui
    , and
    J. A.Caresse
    . Do we practice what we preach? a qualitative assessment of resident-preceptor interactions for adherence to evidence-based practice.J Eval Clin Pract2008. 14 (
    5
    ):780784.

appendix

Mathematical Presentation of Patient-Centered Optimal Supervision

Assumptions
  • 1. Optimal Supervision. Staff physicians will supervise residents so as to maximize the mean health outcome over all clinic patients.

  • 2. Informed Decision. Staff physicians are informed about patient cases, resident performance, and clinical progress when making supervision decisions.

  • 3. Patient Assignment. Let N be the total number of clinic patients, of whom n patients are assigned “by chance” to residents for resident-provided care, and the remaining N − n patients are assigned to attending staff for staff-provided care.

  • 3a. Number of patients Assigned. To account for residents requiring more time to handle more complex patient cases, let the number of clinic patients who are assigned to resident-provided care n(C) be a continuously differentiable and decreasing function of patient case complexity C, or .

  • 4a. Staff Professional Time. Let Ts be the total staff time available in the clinic for patient care, with t allocated to supervise residents. Staff professional time per patient is .

  • 4b. Resident Professional Time. Let Tr be the total resident time available for care. Let resident professional time be a weighted sum of resident's time Tr and staff supervision time t, or , so that resident “effective” professional time per patient is . The variable α ranges from 0 to 1 and reflects the efficacy of a resident to affect patient outcomes and the need for supervision. When α  =  1, resident time is efficacious, with supervisors not contributing to patient outcomes. When α  =  0, resident time is not efficacious, with supervisors having critical roles enabling residents to contribute to patient care.

  • 4b1. Resident Efficacy and Competencies. Let the efficacy of resident's time α(E, C) be a continuously differentiable and increasing function of resident clinical competencies E, or .

  • 4b2. Resident Efficacy and Case Complexities. Let the efficacy of resident's time α(E, C) be a continuously differentiable and decreasing function of case complexity C, or .

  • 4c. Supervision Time. Attending staff spends t of the total time Tr that residents spend providing care to resident-assigned patients so that .

  • 5a. Outcome From Staff Professional Time. Let patient outcome for staff-provided care be a continuous and twice differentiable function of staff professional time, or . Each additional minute of staff professional time ts will positively contribute to patient outcomes, , but at a decreasing rate, .

  • 5b. Outcome From Resident Professional Time. Let patient outcome for resident-provided care be a continuous and twice differentiable function of resident professional time, or . Each additional minute of resident professional time tr, a composite of staff and resident time, will positively contribute to patient outcomes, , but at a decreasing rate, .

  • 5c. Quality of Care and Quality of Supervision. The production of health outcomes is determined by other patient, resident, attending, teaching clinic, and health program characteristics H0, or as the health outcome of staff-assigned patients and θ(tr | H0) as the health outcome of resident-assigned patients. For the sake of simplicity, we drop H0 from formulas.

  • 6. Resident Learning. Let resident competencies E(L) be a continuously differentiable and increasing function of the length of GME training L, or .

Optimal Supervision Defined

The mean health outcome is computed as a weighted average of staff- and resident-provided care, or

From assumptions 4a and 4b, the mean outcome reduces to function of resident supervision t:

We compute optimal supervision by differentiating equation 1 with respect to t and setting the differential equal to 0 to derive the first-order condition for maximization:

The second-order condition is determined by:

Equation 3 is strictly negative by assumptions 5a and 5b, so it follows that a global maximum of patient health outcome h exists for a unique value of optimal supervision t* whenever equation 2 holds so that .

Resident Supervision Index Scores

We define Resident Supervision Index (RSI) as the proportion of resident time that was supervised by attending staff, or . By assumption 4c, RSI scores are bounded between 0 and 1.

Reduced-Form Equation

Optimal supervision t* is computed by solving equation 2 as a function of workload N, case complexity C, resident experience and clinical competencies E, length of GME training L, available staff time Ts, available resident time Tr, and staff, resident, clinic, and training program characteristics H0, or . Recalculating t* as a proportion of the constant Tr and approximating the result as a linear expansion in the logit yield:

where βs are coefficients. Equation 4 satisfies theory assumptions 1 through 6, provided optimal supervision is a noncorner solution (RSI > 0). To allow for corner solutions (no supervision), RSI is computed in 2 parts. Part 1 calculates the likelihood that patient care supervision occurs (yes or no) during the encounter:

Part 2 calculates the intensity of patient care supervision once supervision begins:

Progressive Independence Hypothesis

Multiplying equation 2 by N and differentiating with respect to E, we have:

Solving for dt* / dE and using the definition for RSI, we have:

Equation 6 is strictly negative whenever assumptions 4b1, 4c, 5a, and 5b hold. Under assumption 6, resident clinical competencies should increase with longer lengths of GME training (∂E / ∂L > 0). Thus, the progressive independence hypothesis follows for patient-centered optimizing staff, or:

Equation 6a says that for optimally supervising staff (d[RSI] / dE < 0), an empirical finding of progressive independence from supervision ([RSI] / ∂L < 0, or β1L < 0 in equation 4a, and β2L < 0 in equation 4b) will support an inference of progressive development (∂E / ∂L > 0) whenever attending staff optimally supervises residents (equation 2) and residents contribute to patient care (θ′ > 0).

Case Complexity–Effect Hypothesis

Differentiate the first-order condition of equation 2 with respect to C, use the definition for RSI, and arrange terms to find:

The first term on the right-hand side represents an efficacy effect; the second term is an assignment effect. If assumptions 4b2, 4c, 5a, and 5b hold, the efficacy effect is positive. Under assumptions 3a, 4c, 5a, and 5b, the assignment effect is negative (ie, patients are transferred from residents to staff, increasing resident time per patient and decreasing staff time per patient). A positive case complexity-effect (d[RSI] / dC > 0, or β1C > 0 in equation 4a, and β2C > 0 in equation 4b) follows whenever the assignment effect is negligible ().

Workload-Effect Hypothesis

Differentiate the first-order condition of equation 2 to determine how optimal supervision covaries with workload N:

Rearranging terms and using the definition for RSI give:

The workload-effect hypothesis (, or β1N < 0 in equation 4a and β2N < 0 in equation 4b)) follows from equation 9, assumptions 4a, 5a, and 5b, and in the special case when N > n (staff retains patients for staff-provided care). Note that . When faced with increasing caseload N, attending physicians may begin to rely more on residents to help provide patient care.

Patient Outcomes–Effect Hypothesis

The health outcome of patients assigned to residents can be derived from equation 1 as:

where t* is the optimal supervision level. Differentiating equation 10 with respect to N yields:

Combining equations 9 and 11, we can compute the changes in health outcome for patients in resident-provided care to changes in the intensity of optimal supervision driven by changes in clinic workload:

Equation 12 will be strictly greater than 0 whenever residents contribute to patient care (θ′ > 0) but are otherwise less than efficacious in producing services (α < 1). Observed associations between supervision intensity and patient outcomes may be a response to changes in clinic workload. Theoretical assumptions and definitions are described below in the following Table.

Table Key Underlying Assumptions and Definitions for the Theory of Patient-Centered Optimal Supervision
Table
Copyright: Accreditation Council for Graduate Medical Education 2010

Author Notes

T. Michael Kashner, PhD, JD, is Professor and Associate Chair for Translational Research, Department of Medicine, Loma Linda University Medical School and Director of the Center for Advanced Statistics in Education at the Jerry L. Pettis Memorial VA Medical Center, Loma Linda, CA, Professor of Psychiatry at the University of Texas Southwestern Medical Center at Dallas, TX, and Health Specialist with the Office of Academic Affiliations, Department of Veterans Affairs, Washington, DC; John M. Byrne, DO, is Associate Chief of Staff for Education and Co-Director of the Center for Advanced Statistics in Education at the Jerry L. Pettis Memorial VA Medical Center, Loma Linda, CA, and Assistant Professor of Medicine, Loma Linda University Medical School, Loma Linda, CA; Steven S. Henley, MS, is President, Martingale Research Corporation, Plano, TX; Richard M. Golden, PhD, is Professor of Cognitive Science and Engineering, School of Behavioral and Brain Sciences, University of Texas at Dallas, Richardson, TX; David C. Aron, MD, MS, is Associate Chief of Staff for Education, VA Senior Scholar, Louis Stokes Cleveland DVA Medical Center, Cleveland, OH, and Professor of Medicine & Epidemiology & Biostatistics, School of Medicine, and Professor of Organizational Behavior at the Weatherhead School of Management, Case Western Reserve University, Cleveland, OH; Grant W. Cannon, MD, is the Associate Chief of Staff for Academic Affiliations, George E. Wahlen VA Medical Center, Salt Lake City, UT and Professor and Thomas E. and Rebecca D. Jeremy Presidential and Endowed Chair for Arthritis Research, School of Medicine, University of Utah, Salt Lake City, UT; Barbara K. Chang, MD, MA, is Director of Medical and Dental Education, Office of Academic Affiliations, Department of Veterans Affairs, Washington, DC, and Professor of Medicine (emeritus), University of New Mexico School of Medicine, Albuquerque, NM; Stuart C. Gilman, MD, MPH, is Director, Advanced Fellowships and Professional Development, Office of Academic Affiliations, Department of Veterans Affairs, Washington DC and Clinical Professor of Health Sciences, University of California Irvine School of Medicine, Irvine, CA; Gloria J. Holland, PhD, is Special Assistant for Policy and Planning, Office of Academic Affiliations, Veterans Health Administration, Department of Veterans Affairs, Washington, DC; Catherine P. Kaminetzky, MD, MPH, is Associate Chief of Staff for Education, Department of Veterans Affairs Medical Center, Durham, NC, and Assistant Professor, Department of Medicine, Duke University School of Medicine, Durham, NC; Sheri A. Keitz, MD, PhD, is Chief, Medical Service, Miami VA Healthcare System, and Professor of Medicine and Associate Dean, Miller School of Medicine, University of Miami Medical School, Miami, FL; Elaine A. Muchmore, MD, is Associate Chief of Staff for Education at the VA Medical Center in San Diego, CA, and Professor of Clinical Medicine and Vice Chair for Education, Department of Medicine, School of Medicine, University of California at San Diego, CA; Tetyana K. Kashner, MD, is a resident, Department of Obstetrics and Gynecology, Pennsylvania State University Milton S. Hershey Medical Center, Hershey, PA; Annie B. Wicker, BS, is a Health Science Specialist, Office of Academic Affiliations and Data Coordinator for Center for Advanced Statistics in Education, Jerry L. Pettis Memorial VA Medical Center, Loma Linda, CA.

This study was funded in part by grant SHP 08-164 from the Department of Veterans Affairs' Health Services Research and Development Service (Dr T. M. Kashner). Development of the statistical methods was supported in part by grant R44CA139607 from the Small Business Innovation Research program of the National Cancer Institute and by grant R43AA013670 from the National Institute on Alcohol Abuse and Alcoholism (Mr Henley). All statements and descriptions expressed herein do not necessarily reflect the opinions or positions of the Department of Veterans Affairs or the National Institutes of Health of the Department of Health and Human Services.

Corresponding author: T. Michael Kashner, PhD, Jerry L. Pettis Memorial VA Medical Center, Loma Linda VA Healthcare System, 11201 Benton Street, Loma Linda, CA 92357, 214.648.4608, michael.kashner@va.gov
Received: 10 Nov 2009
Accepted: 21 Jan 2010
  • Download PDF