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Author(s): Rajesh Mangrulkar, M.D., 2011

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Patients and Populations
                 Medical Decision-Making
            Shifting Probabilities and Questions
               Rajesh S. Mangrulkar, M.D.
                  University of Michigan
              Department of Internal Medicine
               Division of General Medicine

Fall 2011
Learning Objectives for Today
• By the end of this lecture, you will…
  – describe Bayesian probabilistic rules, as they
    apply to a basic diagnostic question
  – summarize how uncertainty in diagnostic
    reasoning interacts with trust of the practitioner.
  – explain the difference between background and
    foreground clinical questions
  – recognize how individual targeted searches for the
    answers to clinical questions drive self-directed
    learning that is crucial for all practitioners
  – be able to craft foreground questions for both
    diagnosis and treatment, using the PICO format
A Clinical Tale
• 20 year-old woman presents for genetic
  testing
• Mother had breast and ovarian cancer,
  likely has the BRCA gene (autosomal
  dominant)
• With this assumption, the patient’s
  likelihood of having the gene is…50%
• She decides not to get tested.
The Tale Continues…FFwd

• At age 75 she has not been diagnosed
  with breast or ovarian cancer.
• Is her probability of having the BRCA
  gene different at age 75 than it was at
  age 20?
  – Yes: it is lower
  – How much lower?
Conditional Probabilities

• What is the probability of event B, given
  an event A? Written as P(B | A).
  – Example: P (BRCA | no breast cancer)
• Key concept:
  – Conditional probabilities can be combined
    with prior probabilities to create joint
    probabilities
Basic Probabilistic Rules
        Examples of types of Events
• Dependent events: occurrence of 1 depends
  to some extent on the other
  – Example: The same person passing step 1 of the
    boards and then passing step 2 of the boards 2
    years later.
• Independent events: both can occur
  – Example: 2 different people passing step 1 of the
    boards (abiding by the honor code)
• Mutually exclusive events: cannot both occur
  – Example: A person getting >250 on step 1 of the
    boards, or the same person getting 220-250 on
    step 1.
Combining Probabilities of Events

• Pr (A   B) = Pr (A) + Pr (B)
  – If A and B are mutually exclusive events
• Pr (A   B) = Pr (A) * Pr (B)
  – If A and B are independent events
• Pr (A   B) = Pr (A) * Pr (B|A)
  – If A and B are dependent events (Joint
    probability)

              = OR       = AND
Back to our story

75 yo woman whose mother very likely
  had the BRCA gene, but who has not
  herself been diagnosed with breast
  cancer.
• Our patient wants to know:
  – What is P (BRCA | no breast ca)?
Considering both sides…
                Dependent Events
              Pr (A   B) = Pr (A) * Pr (B|A)
•Step 1:
       P (BRCA and no breast cancer)
            = P(BRCA) * P(no breast ca | BRCA)
            = 0.5      *       0.3 (from studies)
            = 0.15

•Step 2:
       P (NO BRCA and no breast ca)
             = P(NO BRCA)*P(no breast ca|NO BRCA)
             =    0.5    * 0.875(from studies)
             = 0.4375
But that doesn’t tell the full story…

• Joint probabilities
  – P (BRCA    and no breast ca) = 0.15
  – P (NO BRCA and no breast ca) = 0.4375
• The assumption is that these are NOT
  independent events.
• Again, our patient wants to know:
  – What is P (BRCA | no breast ca)?
WARNING



CONFUSING
  MATH
  AHEAD
Step 3: Bayes Theorem
• Conditional probability is the relative proportion of the
  relevant joint probability to the sum of all the joint
  probabilities.

• P(BRCA | no breast ca)
     = P (BRCA & no breast ca)
            P (no breast ca)

       = P(BRCA) * P (no breast ca | BRCA)
            P (no breast ca)

• P (no breast ca) = sum of all the joint probabilities
   • P (no breast ca & BRCA)
   • P (no breast ca & NOT BRCA)
Applying Bayes Theorem

• P (BRCA | no breast ca) =
               0.15
        ------------------- = 26%
        0.15 + 0.4375

• 26% is significantly lower than 50% (our
  prior probability)
Why is this important?
• Illustration of changing probabilities, and
  shifting uncertainty…
   …because of test results
   …because of events
   …because of time
• Fundamentally, clinicians deal with shifting
  probabilities and uncertainty with each patient
  they encounter
   – Many tools to help (Bayes, 2x2, Likelihood ratios)
Thread 1: Information Retrieval



                    Ask



           Acquire                      Apply


                             Appraise
Who is this man?




      Image of “The Riddler” is used for illustrative purposes, in an
      effort to advance the instructor’s teaching goals. This use is
      Fair and consistent with the U.S. Copyright Act. (USC
      17 § 107)



Frank Gorshin - a.k.a. “The Riddler”
Riddle me this...

• How many questions do clinicians ask
  while they care for patients? 4 per patient

• Why is question-generation a critical
  skill? (1) Targeting Information Resources
         (2) Generating Search Terms
Patient Care: Questions Decisions

• Step 1: Question Search for Answer
• Step 2: Assess the strength of answer
• Step 3: Weigh against:
  – Patient Values
  – Physician Values
  – Society’s Values
The Well-Structured Clinical Question

• Purposes
  – Target resources
  – Define search terms
  – Define what you and the patient care about
• Two Types
  – Background
  – Foreground
Anatomy of a Background Question

  •   What         •   Disorder
  •   How          •   Syndrome
  •   Where        •   Finding
  •   When         •   Health state
  •   Who          •   Concern
  •   Why
Background Questions -- Examples
• Who should get influenza vaccine and when?

• Which drugs to treat HIV can cause
  pancreatitis?

• What is the metabolic pathway for cholesterol
  synthesis?

• Why do patients with sleep apnea have high
  blood pressure?
Background vs. Foreground
          Questions
• Background: Designed to improve
  general knowledge about a subject

• Foreground: Patient-specific
  questions, strong implications for
  decisions, often with comparisons
An Evolution in Question Type

100
 90
 80
 70
 60
                                              Foreground
 50
                                              Background
 40
 30
 20
 10
  0
       M1-M2   M3-M4   Residency   Practice
Background Questions: A Case
Using the following case, jot down 2 questions with
  your partner that may help you care for this patient:
A 42 year old woman comes to her primary care
  practitioner’s office for follow up of her diabetes. She
  is currently on glyburide 10 mg twice daily. However,
  her morning and evening blood sugars still stay
  elevated. You are the medical student who sees
  this patient with your attending. Afterwards, your
  attending asks whether you think she should add
  metformin to her regimen. You say that you don’t
  know because your knowledge of diabetes
  medications are sketchy.
Background Questions
• What kind of medication is glyburide?
• In what classes of medication do metformin
  and glyburide fall?
• What is the initial dosage of metformin?
• What are the adverse effects of metformin
  that I must be cautious about?
• Is it safe to be on glyburide and metformin at
  the same time?
Sources for Background Questions

   • Course notes, lectures, syllabi
   • Textbooks
     – MD Consult
     – Stat!Ref
     – DynaMed
   • Review articles
   • Practice Guidelines
Foreground Questions -- Examples
• In patients with chronic       • In patients with acute
  atrial fibrillation over the     chest pain of less than
  age of 70, does warfarin         6 hours’ duration, what
  anticoagulation reduce           is the diagnostic
  the rate of stroke and           accuracy of a single
  death when compared              troponin level when
  with aspirin?                    compared with serial
                                   EKG’s and enzymes?
Foreground Questions -- Examples
Therapy
• In patients with chronic atrial fibrillation over
  the age of 70, does warfarin anticoagulation
  reduce the rate of stroke and death when
  compared with aspirin?


Diagnosis
• In patients with acute chest pain of less than
  6 hours’ duration, what is the diagnostic
  accuracy of a single troponin level when
  compared with serial EKG’s and enzymes?
PICO: A Tool to Structure the
       Foreground Question

      Therapy          Diagnosis
P     Patient Pop      Disease
I     Intervention     Test
C     Comparison       Gold Standard
O     Outcome          Accuracy
Apply


Appraise

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The Information Cycle

  • 1. Author(s): Rajesh Mangrulkar, M.D., 2011 License: Unless otherwise noted, this material is made available under the terms of the Creative Commons Attribution–Non-commercial–Share Alike 3.0 License: http://creativecommons.org/licenses/by-nc-sa/3.0/ We have reviewed this material in accordance with U.S. Copyright Law and have tried to maximize your ability to use, share, and adapt it. The citation key on the following slide provides information about how you may share and adapt this material. Copyright holders of content included in this material should contact open.michigan@umich.edu with any questions, corrections, or clarification regarding the use of content. For more information about how to cite these materials visit http://open.umich.edu/education/about/terms-of-use. Any medical information in this material is intended to inform and educate and is not a tool for self-diagnosis or a replacement for medical evaluation, advice, diagnosis or treatment by a healthcare professional. Please speak to your physician if you have questions about your medical condition. Viewer discretion is advised: Some medical content is graphic and may not be suitable for all viewers.
  • 2. Attribution Key for more information see: http://open.umich.edu/wiki/AttributionPolicy Use + Share + Adapt { Content the copyright holder, author, or law permits you to use, share and adapt. } Public Domain – Government: Works that are produced by the U.S. Government. (17 USC § 105) Public Domain – Expired: Works that are no longer protected due to an expired copyright term. Public Domain – Self Dedicated: Works that a copyright holder has dedicated to the public domain. Creative Commons – Zero Waiver Creative Commons – Attribution License Creative Commons – Attribution Share Alike License Creative Commons – Attribution Noncommercial License Creative Commons – Attribution Noncommercial Share Alike License GNU – Free Documentation License Make Your Own Assessment { Content Open.Michigan believes can be used, shared, and adapted because it is ineligible for copyright. } Public Domain – Ineligible: Works that are ineligible for copyright protection in the U.S. (17 USC § 102(b)) *laws in your jurisdiction may differ { Content Open.Michigan has used under a Fair Use determination. } Fair Use: Use of works that is determined to be Fair consistent with the U.S. Copyright Act. (17 USC § 107) *laws in your jurisdiction may differ Our determination DOES NOT mean that all uses of this 3rd-party content are Fair Uses and we DO NOT guarantee that your use of the content is Fair. To use this content you should do your own independent analysis to determine whether or not your use will be Fair.
  • 3. Patients and Populations Medical Decision-Making Shifting Probabilities and Questions Rajesh S. Mangrulkar, M.D. University of Michigan Department of Internal Medicine Division of General Medicine Fall 2011
  • 4. Learning Objectives for Today • By the end of this lecture, you will… – describe Bayesian probabilistic rules, as they apply to a basic diagnostic question – summarize how uncertainty in diagnostic reasoning interacts with trust of the practitioner. – explain the difference between background and foreground clinical questions – recognize how individual targeted searches for the answers to clinical questions drive self-directed learning that is crucial for all practitioners – be able to craft foreground questions for both diagnosis and treatment, using the PICO format
  • 5. A Clinical Tale • 20 year-old woman presents for genetic testing • Mother had breast and ovarian cancer, likely has the BRCA gene (autosomal dominant) • With this assumption, the patient’s likelihood of having the gene is…50% • She decides not to get tested.
  • 6. The Tale Continues…FFwd • At age 75 she has not been diagnosed with breast or ovarian cancer. • Is her probability of having the BRCA gene different at age 75 than it was at age 20? – Yes: it is lower – How much lower?
  • 7. Conditional Probabilities • What is the probability of event B, given an event A? Written as P(B | A). – Example: P (BRCA | no breast cancer) • Key concept: – Conditional probabilities can be combined with prior probabilities to create joint probabilities
  • 8. Basic Probabilistic Rules Examples of types of Events • Dependent events: occurrence of 1 depends to some extent on the other – Example: The same person passing step 1 of the boards and then passing step 2 of the boards 2 years later. • Independent events: both can occur – Example: 2 different people passing step 1 of the boards (abiding by the honor code) • Mutually exclusive events: cannot both occur – Example: A person getting >250 on step 1 of the boards, or the same person getting 220-250 on step 1.
  • 9. Combining Probabilities of Events • Pr (A B) = Pr (A) + Pr (B) – If A and B are mutually exclusive events • Pr (A B) = Pr (A) * Pr (B) – If A and B are independent events • Pr (A B) = Pr (A) * Pr (B|A) – If A and B are dependent events (Joint probability) = OR = AND
  • 10. Back to our story 75 yo woman whose mother very likely had the BRCA gene, but who has not herself been diagnosed with breast cancer. • Our patient wants to know: – What is P (BRCA | no breast ca)?
  • 11. Considering both sides… Dependent Events Pr (A B) = Pr (A) * Pr (B|A) •Step 1: P (BRCA and no breast cancer) = P(BRCA) * P(no breast ca | BRCA) = 0.5 * 0.3 (from studies) = 0.15 •Step 2: P (NO BRCA and no breast ca) = P(NO BRCA)*P(no breast ca|NO BRCA) = 0.5 * 0.875(from studies) = 0.4375
  • 12. But that doesn’t tell the full story… • Joint probabilities – P (BRCA and no breast ca) = 0.15 – P (NO BRCA and no breast ca) = 0.4375 • The assumption is that these are NOT independent events. • Again, our patient wants to know: – What is P (BRCA | no breast ca)?
  • 14. Step 3: Bayes Theorem • Conditional probability is the relative proportion of the relevant joint probability to the sum of all the joint probabilities. • P(BRCA | no breast ca) = P (BRCA & no breast ca) P (no breast ca) = P(BRCA) * P (no breast ca | BRCA) P (no breast ca) • P (no breast ca) = sum of all the joint probabilities • P (no breast ca & BRCA) • P (no breast ca & NOT BRCA)
  • 15. Applying Bayes Theorem • P (BRCA | no breast ca) = 0.15 ------------------- = 26% 0.15 + 0.4375 • 26% is significantly lower than 50% (our prior probability)
  • 16. Why is this important? • Illustration of changing probabilities, and shifting uncertainty… …because of test results …because of events …because of time • Fundamentally, clinicians deal with shifting probabilities and uncertainty with each patient they encounter – Many tools to help (Bayes, 2x2, Likelihood ratios)
  • 17. Thread 1: Information Retrieval Ask Acquire Apply Appraise
  • 18. Who is this man? Image of “The Riddler” is used for illustrative purposes, in an effort to advance the instructor’s teaching goals. This use is Fair and consistent with the U.S. Copyright Act. (USC 17 § 107) Frank Gorshin - a.k.a. “The Riddler”
  • 19. Riddle me this... • How many questions do clinicians ask while they care for patients? 4 per patient • Why is question-generation a critical skill? (1) Targeting Information Resources (2) Generating Search Terms
  • 20. Patient Care: Questions Decisions • Step 1: Question Search for Answer • Step 2: Assess the strength of answer • Step 3: Weigh against: – Patient Values – Physician Values – Society’s Values
  • 21. The Well-Structured Clinical Question • Purposes – Target resources – Define search terms – Define what you and the patient care about • Two Types – Background – Foreground
  • 22. Anatomy of a Background Question • What • Disorder • How • Syndrome • Where • Finding • When • Health state • Who • Concern • Why
  • 23. Background Questions -- Examples • Who should get influenza vaccine and when? • Which drugs to treat HIV can cause pancreatitis? • What is the metabolic pathway for cholesterol synthesis? • Why do patients with sleep apnea have high blood pressure?
  • 24. Background vs. Foreground Questions • Background: Designed to improve general knowledge about a subject • Foreground: Patient-specific questions, strong implications for decisions, often with comparisons
  • 25. An Evolution in Question Type 100 90 80 70 60 Foreground 50 Background 40 30 20 10 0 M1-M2 M3-M4 Residency Practice
  • 26. Background Questions: A Case Using the following case, jot down 2 questions with your partner that may help you care for this patient: A 42 year old woman comes to her primary care practitioner’s office for follow up of her diabetes. She is currently on glyburide 10 mg twice daily. However, her morning and evening blood sugars still stay elevated. You are the medical student who sees this patient with your attending. Afterwards, your attending asks whether you think she should add metformin to her regimen. You say that you don’t know because your knowledge of diabetes medications are sketchy.
  • 27. Background Questions • What kind of medication is glyburide? • In what classes of medication do metformin and glyburide fall? • What is the initial dosage of metformin? • What are the adverse effects of metformin that I must be cautious about? • Is it safe to be on glyburide and metformin at the same time?
  • 28. Sources for Background Questions • Course notes, lectures, syllabi • Textbooks – MD Consult – Stat!Ref – DynaMed • Review articles • Practice Guidelines
  • 29. Foreground Questions -- Examples • In patients with chronic • In patients with acute atrial fibrillation over the chest pain of less than age of 70, does warfarin 6 hours’ duration, what anticoagulation reduce is the diagnostic the rate of stroke and accuracy of a single death when compared troponin level when with aspirin? compared with serial EKG’s and enzymes?
  • 30. Foreground Questions -- Examples Therapy • In patients with chronic atrial fibrillation over the age of 70, does warfarin anticoagulation reduce the rate of stroke and death when compared with aspirin? Diagnosis • In patients with acute chest pain of less than 6 hours’ duration, what is the diagnostic accuracy of a single troponin level when compared with serial EKG’s and enzymes?
  • 31. PICO: A Tool to Structure the Foreground Question Therapy Diagnosis P Patient Pop Disease I Intervention Test C Comparison Gold Standard O Outcome Accuracy

Hinweis der Redaktion

  1. This will NOT be the only time you encounter Bayes Theorem. This example is meant to only familiarize you with the principle. You will be spending much more time with this concept in your Human Genetics component and in the small group sessions there.
  2. As we practice medicine (and as you begin to take care of patients), you ’ ll realize that there is more to it than just the 4 A ’ s. Step 1 is of course asking the right question and getting answers Step 2 mandates that we assess the strength of the evidence. remember that studies do NOT prove the truth, rather they lend credence to it. They present weak, moderate or strong evidence in support of it. In step 3, this is where EBM stops, and MDM (medical decision-making) begins. It involves weighing the latest knowledge with your own beliefs, the values of the patient, and society ’ s values. Maybe a therapy would not be covered. Maybe a patient ’ s understanding of his or her own disease is such that he would not accept the therapy you are prescribing. This is the most complex step. This is the art.
  3. Let ’ s first start with Step 1: Asking questions… First, how does this skill practically help you? Well it does in 3 ways: First, understanding your question can greatly help you figure out where to go to find the answer. For example, a controversial question that you know has been studied extensively (e.g., how to screen for prostate cancer) may be best answered with a practice guideline. A general knowledge question (what is Hashimoto ’ s thyroiditis?), is better found in a textbook, rather than on MEDLINE. Second, defining your question helps determine your search terms. It ’ s very easy to go from the question to the search this way, if you ’ re clear up front what you are interested in. Finally, and I think most importantly, it helps you define what you and your patient are most interested in looking at up-front. This last extremely important benefit will be more clear as we work through some examples.
  4. The main categorization that some proponents of EBM make, is that between background and foreground questions. We will define this as follows: <read> Background…We tend to ask these questions very frequently in our careers, especially early on. They may or may not be related to a specific patient, and may not be linked to a specific decision you have to make. They are very important, because they lay the foundation to asking more sophisticated Foreground questions. <read> . Let ’ s step through a case to help illustrate the differences.