Sample
The sample for this retrospective cohort study was drawn from a broader study of Medicare fee-for-service (FFS) beneficiaries who used services from one of 1330 federally qualified health centers (FQHCs) that participated in the Centers for Medicare & Medicaid Services’ (CMS’s) FQHC Advanced Primary Care Practice (APCP) Demonstration from November 2011 through October 2014.8, 9 The present study also used data from the prior year (November 2010 through October 2011) as a baseline period. Throughout this manuscript, we refer to the baseline year as year 0, and the 3 years of the demonstration project as years 1–3. The study was approved by the RAND Human Subjects Protection Committee.
The evaluation sample consists of 428,146 Medicare FFS beneficiaries who were attributed to one of these FQHC sites (including both demonstration and comparison sites) based on where they received the plurality of their primary care visits during year 0, year 1, or year 2 (whichever year they first met attribution criteria). Details of the attribution procedures are in Online Appendix A.
Medicare beneficiaries were included in the sample for this study if they were continuously enrolled in parts A and B, not in Medicare Advantage, and did not have end-stage renal disease during their first full year of data. To be included, beneficiaries also needed to have at least three primary care visits during year 0, year 1, and year 2, with at least 180 days between the first and the last visit to an FQHC. After these sample requirements were applied, the cohort included 378,862 beneficiaries, each of which was attributed to a single FQHC site.
Because all outcomes were measured during year 3, 27,823 beneficiaries who died prior to year 3 were excluded from outcomes analyses. Beneficiaries who were alive and eligible for at least part of year 3 were retained, and outcomes (ED visits, hospitalizations, total Medicare expenditures) were prorated per month of eligibility. After these exclusions, 322,146 beneficiaries remained in the final sample.
Analytic Steps for Categorizing Beneficiaries According to Their Primary Care Visits, Beneficiary Characteristics, and Clinic Characteristics
Discrete analytic steps were implemented to test two study hypotheses. First, we tested the beneficiary-level hypothesis that beneficiaries with more regular PC visits would have better outcomes than beneficiaries with less regular PC visits. Next, we tested the site-level hypothesis that sites with more regular primary care visits than predicted would have better outcomes than sites with less regular primary care visits than predicted. Throughout our analyses, better outcomes are defined as fewer ED visits, fewer hospitalizations, and lower Medicare expenditures. The paragraphs that follow and Table 1 summarize seven discrete analytic steps.
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Step 1:
Divide the sample into five groups based on primary care visit frequency
Table 1 Summary of Analytic Steps We examined the univariate distribution of primary care visit frequencies among beneficiaries during years 0–2. We identified five natural groupings, which included a large group with infrequent visits (the bottom 40%), a relatively small group with extremely frequent visits (the top 5%), and three roughly equal-size groups in between.
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Step 2:
Subdivide five groups into 10 groups based upon visit regularity
Each of these five groups was then subdivided into regular and irregular subgroups according to the observed regularity of the primary care visits. The distinction between regular and irregular subgroups was based on the coefficient of variation (CoV) for the interval between primary care visits. The CoV is a standard measure of statistical variation calculated by dividing the standard deviation of the visit interval by its mean.10 Each group was divided in half, based on whether beneficiaries were above or below the median CoV value.
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Step 3:
Calculate the probability for each beneficiary to be assigned to the regular subgroup, as opposed to the irregular subgroup
In Step 3, we calculated the predicted probability that each beneficiary would be assigned to the regular, as opposed to the irregular subgroup, given each beneficiary’s characteristics. Conceptually, this resembles any model intended to predict a binary outcome, such as a propensity score or a risk adjustment model.11 To accomplish this goal, we created a logistic model to calculate a predicted probability for each beneficiary to be in the regular, as opposed to the irregular subgroup. Based on this model, each beneficiary had a calculated probability between 0 and 1 to be in the regular subgroup—the beneficiary’s “expected” probability. Beneficiary characteristics used for this calculation included age, race, gender, disability status, Medicaid eligibility, prior institutionalization, geographic region, rural/urban residence, area socioeconomic status measured using the percentage of households below the federal poverty level in the zip code of residence,12 and hierarchical condition category (HCC) scores (a burden of illness measure).13
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Step 4:
Use beneficiary expected probabilities to generate site-level expected probabilities for regular vs. irregular visit patterns
In Step 3, we had calculated the expected probability of being in the regular subgroup for each beneficiary. In Step 4, we summed these expected probabilities for each site to generate an expected proportion of beneficiaries in the regular subgroup at the site level. We repeated this calculation once for each of the five groups within each site.
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Step 5:
Compare observed and expected site-level visit regularity scores
To capture the degree to which the regularity of a site’s primary care visit patterns differ from what would have been predicted based upon the site’s beneficiary characteristics, we generated an “observed minus expected score” (O-E score) for each of the five groups at each site. The O-E score is based on the difference between the observed number of beneficiaries in the regular subgroup and the number of beneficiaries predicted to be in the regular subgroup based upon the beneficiaries’ demographic and comorbid characteristics. The strategy of comparing sites based on O-E scores is borrowed from the risk adjustment literature11 and has been used in other similar studies comparing sites of care.14,15,16
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Step 6:
Compare beneficiary-level outcomes across 10 beneficiary subgroups
We compared the three study outcomes—number of ED visits, number of hospitalizations, and total Medicare expenditures—across the 10 subgroups of beneficiaries, adjusting for beneficiary-level covariates. This step allowed us to test our beneficiary-level hypotheses, namely that beneficiaries with more regular primary care visits would have better outcomes after adjusting for beneficiary-level characteristics.
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Step 7:
Compare site-level outcomes, stratifying sites based on O-E score
We compared the three study outcomes across FQHC sites, based on site-level tertiles of O-E scores. This step allowed us to test our site-level hypotheses, namely that sites with more beneficiaries than expected in the regular subgroup would have better outcomes, compared to sites with fewer beneficiaries than expected in the regular subgroup.
Variable and Model Specifications
An ED visit was defined as any visit to an ED, including an observation stay, not resulting in admission. Hospitalization included admissions to acute-care or critical access hospitals. Total Medicare expenditures consisted of inpatient, outpatient, skilled nursing facility, home health, hospice, durable medical equipment, and part B expenditures. These outcomes were observed in year 3, to ensure that they would occur after the categorization of patients based on the regularity of their PC visits. Further details on these three outcomes are found in Online Appendix A.
For the ED visit and hospitalization analyses, we used negative binomial models. A negative binomial model accommodates “count” data in the outcome, but unlike a Poisson model, does not assume that the variance is equal to the mean. This makes it a better model for utilization outcomes, which are often skewed.8, 9 For the analyses of total Medicare expenditures, we used a gamma generalized linear model with a log link to accommodate the non-linear nature of cost data.8, 9 For the beneficiary-level analyses, we adjusted for the beneficiary characteristics listed in Table 2 (all variables were modeled as categorical variables). For site-level analyses, we did not adjust for beneficiary characteristics because they were already reflected in O-E score calculations. All analyses were conducted with SAS, version 9.3 (SAS Corporation, Cary, NC).
Table 2 Sample Characteristics (n = 378,862)