Abstract

Profiling analysis aims to evaluate health care providers, such as hospitals, nursing homes, or dialysis facilities, with respect to a patient outcome. Previous profiling methods have considered binary outcomes, such as 30-day hospital readmission or mortality. For the unique population of dialysis patients, regular blood works are required to evaluate effectiveness of treatment and avoid adverse events, including dialysis inadequacy, imbalance mineral levels, and anemia among others. For example, anemic events (when hemoglobin levels exceed normative range) are recurrent and common for patients on dialysis. Thus, we propose high-dimensional Poisson and negative binomial regression models for rate/count outcomes and introduce a standardized event ratio measure to compare the event rate at a specific facility relative to a chosen normative standard, typically defined as an "average" national rate across all facilities. Our proposed estimation and inference procedures overcome the challenge of high-dimensional parameters for thousands of dialysis facilities. Also, we investigate how overdispersion affects inference in the context of profiling analysis. The proposed methods are illustrated with profiling dialysis facilities for recurrent anemia events.

Highlights

  • Due to kidney failure, patients with end-stage renal disease (ESRD) require long-term renal replacement therapy with dialysis or kidney transplantation to sustain life

  • First, we develop a high-dimensional fixed effects (FEs) Poisson regression model that accommodates thousands of facility-level parameters needed for profiling and the model estimation is achieved via an efficient Newton-Raphson algorithm, inspired by the seminal work of

  • For profiling facilities with a count outcome, we introduce the standardized event ratio (SER) measure for each facility, which is the ratio of the expected number of events (e.g., # of Hb out of target) for patients treated at a given facility to the expected number of events if these same patients were treated at an “average” facility, i.e., a national reference standard

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Summary

Summary

Profiling analysis aims to evaluate health care providers, such as hospitals, nursing homes, or dialysis facilities, with respect to a patient outcome. Anemic events (when hemoglobin levels exceeds normative range) are recurrent and common for patients on dialysis. We propose high-dimensional Poisson and negative binomial regression models for rate/count outcomes and introduce a standardized event ratio (SER) measure to compare the event rate at a specific facility relative to a chosen normative standard, typically defined as an “average” national rate across all facilities. Our proposed estimation and inference procedures overcome the challenge of high-dimensional parameters for thousands of dialysis facilities. The proposed methods are illustrated with profiling dialysis facilities for recurrent anemia events. Keywords End-stage renal disease; fixed effects; high-dimensional parameters, negative binomial regression; Poisson regression; profiling analysis

Introduction
High-dimensional Log-Linear Regression Model
Standardized Event Ratio Measure
Poisson Model and Estimation Procedure
Hypothesis Testing for Facility Effects
A nominal two-sided p value is calculated as pi
Negative Binomial Model for Data with Overdispersion
Simulation Design
Hypothesis Testing
Flagging Extreme Facilities
Profiling Dialysis Facilities for Recurrent Anemia Events
Findings
Model Fits and Profiling Results
Discussion

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