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Presentations in this series Overview and Randomization Self-matching Proxies Intermediates

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Avoiding Bias Due to Unmeasured Covariates. Presentations in this series Overview and Randomization Self-matching Proxies Intermediates Instruments Equipoise. Alec Walker. X. Randomization. Self-matching. Proxies. Proxies. Intermediates. Intermediates. Instruments. D. T. X. - PowerPoint PPT Presentation
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Presentations in this series 1. Overview and Randomization 2. Self-matching 3. Proxies 4. Intermediates 5. Instruments 6. Equipoise Avoiding Bias Due to Unmeasured Covariates Alec Walker
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Page 1: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Presentations in this series1. Overview

and Randomization2. Self-matching3. Proxies4. Intermediates5. Instruments6. Equipoise

Avoiding Bias Due toUnmeasured Covariates

Alec Walker

Page 2: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

T D

XSelf-matchingProxies Proxies

Randomization

IntermediatesIntermediates

Instruments

Page 3: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

T D

XSelf-matchingProxies Proxies

Randomization

IntermediatesIntermediates

Instruments

Page 4: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

T D

XSelf-matchingProxies Proxies

Randomization

IntermediatesIntermediates

Instruments

When strong proxies for the possible confounding determinants of exposure indicate no effect on exposure, there is correspondingly strong evidence for an absence of confounding.

Page 5: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

T D

X

Proxies

Other, possibly unmeasured, non-confounding determinants of exposure are the sole determinants of treatment variation.

UT

Page 6: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates
Page 7: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Where we’re goingWhen different doctors give different treatments to similar patients, there must be a variety of opinions about therapy in the clinical community.

The presence of differing therapeutic opinion has been termed “clinical equipoise” and is a permissive condition for conducting an ethical clinical trial.

Clinical equipoise, identified in observational data as “empirical equipoise,” is also a permissive state for comparative effectiveness research.

Page 8: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σ

Page 9: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

ΣProvider

Page 10: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

ΣProvider

Page 11: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

ΣProvider

Rx

Page 12: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

ΣProvider?

Page 13: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

ΣProvider?

Patient

Page 14: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?

Page 15: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?complaint

Page 16: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σ?complaint

Page 17: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σ?complaint

training norms colleagues experience

Page 18: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σ?complaint

symptoms

training norms colleagues experience

Page 19: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

complaintsymptoms

training norms colleagues experience

Page 20: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

complaintsymptoms

history training norms colleagues experience

Page 21: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

complaintsymptoms

historyillnesses

training norms colleagues experience

Page 22: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

historyillnesses

training norms colleagues experience

Page 23: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Page 24: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Page 25: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Page 26: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σ

Page 27: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Page 28: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx B

Page 29: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx BΣtraining norms colleagues experience

Rx C

Page 30: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx BΣtraining norms colleagues experience

Rx C

Σtraining norms colleagues experience

Rx D

Page 31: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx BΣtraining norms colleagues experience

Rx B

Σtraining norms colleagues experience

Rx A

Page 32: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx BΣtraining norms colleagues experience

Rx B

Σtraining norms colleagues experience

Rx A

When the same patient has an equal chance of getting Rx A or Rx B, depending only on which doctor he happens to visit, the treating community is in EQUIPOISE.

Page 33: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates
Page 34: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Personal ambivalence

“If a physician knows that these treatments are not equivalent, ethics requires that the superior treatment be recommended. “Following Fried, I call this state of uncertainty about the relative merits of A and B ‘equipoise.’ ”

Reference is to Charles Fried. Medical Experimentation: Personal Integrity and Social Policy. Amsterdam: North-Holland Publishing, 1974

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

Page 35: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Shortcomings of ambivalence in RCTs

Threats to personal equipoise• Studies that motivated the trial• Early results of the trial itself• Findings on secondary endpoints: QoL• Change in experimenter’s understanding of– Relevant data external to the RCT– Views of other competent observers

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

Page 36: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Failed rescue attempts for personal equipoise

Conceal results from investigators through a Data and Safety Monitoring Committee

Give the patient responsibility for valuing the relative merits of the treatments

Informed ConsentFrankly admit the social need for reliable health research.

Medical Conscription

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

Page 37: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Retained for other reasons

Conceal results from investigators through a Data and Safety Monitoring Committee

Give the patient responsibility for valuing the relative merits of the treatments

Informed Consent

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

Page 38: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Autonomy

Conceal results from investigators through a Data and Safety Monitoring Committee

Give the patient responsibility for valuing the relative merits of the treatments

Informed ConsentFrankly admit the social need for reliable health research.

Medical ConscriptionBenjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

Page 39: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

When we do RCTs

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

“The standard treatment is A, but some evidence suggests that B will be superior.”“Or there is a split in the clinical community, with some clinicians favoring A and others favoring B …” “… an honest, professional disagreement among expert clinicians …”

Page 40: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

When we do RCTs“The standard treatment is A, but some evidence suggests that B will be superior.”“Or there is a split in the clinical community, with some clinicians favoring A and others favoring B …” “… an honest, professional disagreement among expert clinicians …”

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

“At this point a state of ‘clinical equipoise’ exists … A state of clinical equipoise is consistent with a decided treatment preference on the part of the investigators.”

Page 41: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Clinical equipoise and community

Benjamin Friedman. Equipoise and the ethics of clinical research. N Engl J Med 1987;317:141-145.

“… there is a split in the clinical community ” “There is no consensus within the expert clinical community about the comparative merits…”“… clinical equipoise persists as long as [available] results are too weak to influence the judgement of the community of clinicians.”“As Fried has emphasized, competent (hence, ethical) medicine is social rather than individual in nature.”

Reference is to Charles Fried. Medical Experimentation: Personal Integrity and Social Policy. Amsterdam: North-Holland Publishing, 1974

Page 42: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

What prescribers think, what they doIn the absence of knowledge of prescribers’ beliefs about alternative treatments, we might assume that each prescriber’s behavior reflects belief about best treatment for the individual patient, given the constraints of their shared environment.

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Page 43: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx BΣtraining norms colleagues experience

Rx B

Σtraining norms colleagues experience

Rx A

When the same patient has an equal chance of getting Rx A or Rx B, depending only on which doctor he happens to visit, the treating community is in EMPIRICAL EQUIPOISE.

A community of prescribers

Page 44: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σsigns?

medications

complaintsymptoms

test results

historyillnesses

training norms colleagues experience

Rx A

Σtraining norms colleagues experience

Rx BΣtraining norms colleagues experience

Rx B

Σtraining norms colleagues experience

Rx A

We will take empirical equipoise in the population of prescribers as evidence of clinical equipoise in the prescriber community, in just the sense meant by Friedman.

A community of prescribers

Page 45: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Modeling the counterfactual

We can’t observe what different doctors would do with the same patient.

Page 46: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σtraining norms colleagues experience

Rx A

Σtraining norms colleagues experience

Σtraining norms colleagues experience

Σtraining norms colleagues experience

Rx ARx B Rx B

In general, the patients who go to different doctors are not identical.

Modeling the counterfactual

Page 47: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σtraining norms colleagues experience

Rx A

Σtraining norms colleagues experience

Σtraining norms colleagues experience

Σtraining norms colleagues experience

Rx ARx B Rx B

But what if switching patients between doctors made no difference to the treatment assignment?

Modeling the counterfactual

Page 48: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Σtraining norms colleagues experience

Rx A

Σtraining norms colleagues experience

Σtraining norms colleagues experience

Σtraining norms colleagues experience

Rx ARx B Rx B

We’d say that the treatment choices are probably most reflective of prescriber beliefs.

Modeling the counterfactual

Page 49: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

The patients can’t be switched between doctors in an observational study.

Modeling the counterfactual

Page 50: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

The patients can’t be switched between doctors in an observational study.

Instead of asking whether the patient per se is determinative of doctor’s treatment choice, we can ask whether any observed patient characteristics tend to predict treatment.

Modeling the counterfactual

Page 51: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Pr(A|A or B)=f(test results, medications, concurrent illnesses, history, signs, symptoms)

Instead of asking whether the patient per se is determinative of doctor’s treatment choice, we can ask whether any observed patient characteristics tend to predict treatment.

Modeling the counterfactual

Page 52: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Pr(A|A or B)=f(test results, medications, concurrent illnesses, history, signs, symptoms)

If we estimate from the data whether any observed patient characteristics tend to predict treatment, we’ve calculated a propensity score.

Propensity

Page 53: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Pr(A|A or B)=f(test results, medications, concurrent illnesses, history, signs, symptoms)

If doctor preference is the major determinant of treatment choice, most fitted values from the propensity model estimating Pr(A) will fall near the overall prevalence of A in “A or B” population.

Propensity

Page 54: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

To make different A-B comparisons easier to compare, we’ve subtracted out the grand mean and renamed the result “Preference.”

Preference

F Preference S Propensity P Prevalence of A

Page 55: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

Page 56: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

A B C D

Page 57: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

E F G H

Page 58: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

Empirical Equipoise

Most people have covariate patterns that are similarly represented in the two treatment groups.

Page 59: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

Empirical Equipoise

Most people have covariate patterns that are similarly represented in the two treatment groups.

A B C D

Page 60: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

Patient-driven preferences

Most people have covariate patterns that are differently represented in the two treatment groups.

Page 61: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Alternative treatments in Community Acquired Pneumonia

Rela

tive

freq

uenc

y

Patients sorted by the preference score corresponding to their clinical and demographic characteristics

Patient-driven preferences

Most people have covariate patterns that are differently represented in the two treatment groups.

E F G H

Page 62: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Empirical Equipoise

Page 63: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates
Page 64: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Levofloxacin Azithromycin0%5%

10%15%20%25%30%35%40%45%

Trea

tmen

t Fa

ilure

Page 65: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Levofloxacin Azithromycin0%5%

10%15%20%25%30%35%40%45%

Trea

tmen

t Fa

ilure

Page 66: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Levofloxacin Azithromycin0%5%

10%15%20%25%30%35%40%45%

Trea

tmen

t Fa

ilure

Page 67: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Levofloxacin Azithromycin0%5%

10%15%20%25%30%35%40%45%

Trea

tmen

t Fa

ilure

Levofloxacin appears to have fewer failures

Page 68: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates
Page 69: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Empirical equipoise means that the prescribers appear to have diverse opinions. The patients themselves formed very similar groups, so differences in treatments are most likely ascribable to the doctors.

Page 70: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

If one treatment has 28% fewer failures, the difference is large enough to be important.

Empirical equipoise means that th prescribers appear to have diverse opinions.

Page 71: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Why should balance on observed variables imply balance on the unobserved?

Page 72: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Why should balance on observed variables imply balance on the unobserved?

One answer is narrative.

The observed variables give a clue as to how prescribers respond to variations in patient characteristics. If we know that they respond little to medical facts that we can account for, we guess that they are insensitive to facts that we have not measured.

Page 73: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Why should balance on observed variables imply balance on the unobserved?

Another answer is in the form of a syllogism:• Different patients get different treatments.• Patient characteristics in empirical equipoise

are not determinative of drug choice.• Possibly unmeasured factors external to the

patient and to his/her prognosis are determinative of drug choice

These unmeasured factors are Instruments, whose presence is the only justification for observational CER)

Page 74: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

More plausible than “no unmeasured confounding”

Treatment variation due to uncontrolled Instruments

is much larger thanTreatment variation due to uncontrolled

Confounders

Page 75: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

Where we’ve beenWhen different doctors give different treatments to similar patients, there must be a variety of opinions about therapy in the clinical community.

The presence of differing therapeutic opinion has been termed “clinical equipoise” and is a permissive condition for conducting an ethical clinical trial.

Clinical equipoise, identified in observational data as “empirical equipoise,” is also a permissive state for comparative effectiveness research.

Page 76: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses

A note of caution

Page 77: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

A note of caution

Page 78: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

A note of caution

Page 79: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

?medications

complaint

signssymptoms

test results

historyillnesses (a)

(b)

(c)

A note of caution

Page 80: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

?medications

complaint

signssymptoms

test results

historyillnesses (a)

(b)

(c)

A note of caution

Page 81: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

?medications

complaint

signssymptoms

test results

historyillnesses (a)

(b)

(c)

Because some patient characteristics known to the doctor may not be recorded in the database, Empirical Equipoise might be only Apparent.

A note of caution

Page 82: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

?medications

complaint

signssymptoms

test results

historyillnesses (a)

(b)

(c)

Because some patient characteristics known to the doctor may not be recorded in the database, Empirical Equipoise might be only Apparent.

!

A note of caution

Page 83: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

?medications

complaint

signssymptoms

test results

historyillnesses (x)

(y)

(z)

?medications

complaint

signssymptoms

test results

historyillnesses (a)

(b)

(c)

We’ve made arguments as to why the vectors of unmeasured covariates[x,y,z] and [a,b,c] ought to have similar distributions.

!But it is surely a good idea to worry, to check whenever you can, and to be modest.

A note of caution

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Page 85: Presentations in this series Overview  and Randomization Self-matching Proxies Intermediates

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