the role of hospital characteristics in setting

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The Role of the Hospital Characteristics in Setting Appropriate Yardsticks for Hospital Profiling November 5, 2013 Presentation to the Federal Committee on Statistical Methodology Research Conference Washington, DC Frank Yoon

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Page 1: The Role of Hospital Characteristics in Setting

The Role of the Hospital Characteristics in Setting Appropriate Yardsticks

for Hospital Profiling November 5, 2013

Presentation to the Federal Committee on Statistical Methodology

Research Conference Washington, DC

Frank Yoon

Page 2: The Role of Hospital Characteristics in Setting

Overview

2

Recap: statistical model

Illustration: Pneumonia mortality rate Inpatient Quality Indicator #20

Look ahead: the role of hospital characteristics – Risk adjustment – Stabilization

Page 3: The Role of Hospital Characteristics in Setting

Risk Adjustment

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Page 4: The Role of Hospital Characteristics in Setting

Smoothing

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Page 5: The Role of Hospital Characteristics in Setting

Smoothing

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Page 6: The Role of Hospital Characteristics in Setting

Smoothing

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Page 7: The Role of Hospital Characteristics in Setting

Pneumonia Mortality Rate

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Page 8: The Role of Hospital Characteristics in Setting

Risk adjustment – Remove variation due to patient case mix – Recalibrate expectation of quality

Stabilization – Smoothing unstable estimates might mask

true variation – Prior assumptions play a big role

• Bigger in low-information settings • Statistical challenge: what is the prior?

Statistical Context

8

Page 9: The Role of Hospital Characteristics in Setting

Risk adjustment – Level the playing field – Certain hospital types may take on unobserved risk

Stabilization – Small hospitals present unstable estimates – Variation in quality may depend on hospital type – Prior assumptions set different expectations

• Empirically testable • Policy challenge: what is the message?

Policy Context

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Page 10: The Role of Hospital Characteristics in Setting

Hospital Characteristics in Risk Adjustment

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Page 11: The Role of Hospital Characteristics in Setting

Hospital Characteristics in Stabilization

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Page 12: The Role of Hospital Characteristics in Setting

Potential Enhancements

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Empirical Bayes framework – Elucidate assumptions about prior distribution – Achieve credible posterior inferences

Unified modeling – Perform risk adjustment and stabilization in one fell

swoop – Computationally feasible

Page 13: The Role of Hospital Characteristics in Setting

Empirical Bayes in Hospital Profiling

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Decomposition of signal and noise

hh

hh

hh

h

hhh

RARRAR

N

RAR

|Posterior|Data

),0(~ErrorPrior~rate True

2

θθσε

θ

εθ +=

Page 14: The Role of Hospital Characteristics in Setting

Setting the Yardstick

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Page 15: The Role of Hospital Characteristics in Setting

Yardstick from a Gamma Prior

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Page 16: The Role of Hospital Characteristics in Setting

Addressing Overshrinkage

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Does smoothing mask variation in true rate?

Restrictive prior distributions can hide possible outliers

Prior means of true rate may or may not depend on peer grouping

In the policy context expectations matter

Page 17: The Role of Hospital Characteristics in Setting

The Effect of Stabilization

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Page 18: The Role of Hospital Characteristics in Setting

Mixture of Normals by Volume Quintile

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Page 19: The Role of Hospital Characteristics in Setting

Yardstick from a Gamma Prior

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Page 20: The Role of Hospital Characteristics in Setting

Yardstick from Volume Peer Groups

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Page 21: The Role of Hospital Characteristics in Setting

Peer Groups by Volume Quintiles

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Page 22: The Role of Hospital Characteristics in Setting

Policy Implication

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It depends on the application – Self-monitoring – Public reporting – Pay for performance

What is the message? – Leveling the playing field in risk adjustment is not a

testable exercise – Setting expectations via the prior is empirically

justifiable, “potentially resolvable”

Page 23: The Role of Hospital Characteristics in Setting

Research Implications

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Standing by our prior, with or without peer grouping

Empirical justification – Literature review – Exploratory data analysis – Hypothesis driven – Simulation based

Page 24: The Role of Hospital Characteristics in Setting

For More Information

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Please contact: – Frank Yoon

[email protected]