INTRODUCTION

At least 20 % of the most frequently treated conditions in US hospitals, such as congestive heart failure, schizophrenia and renal failure, resulted in readmissions within 30 days in 2010.1 Most of these readmissions were unplanned.2 Hospital readmissions are both a clinical and financial problem, with a total annual cost of $17.4 billion for Medicare alone.3 The burden of hospital readmissions falls mostly on Medicare populations, accounting for more than half of hospital readmissions in 2011.4 Under the Accountable Care Act (ACA), the Hospital Readmissions Reduction Program aims to reduce the frequency of hospital readmissions among Medicare beneficiaries by financially penalizing hospitals with excessive readmission rates.5 The reduction of early hospital readmissions is an opportunity to control health care expenditures and improve systematic errors in clinical care and transitions in levels of care. However, the ability of hospitals to freely readmit struggling patients is a vital safety net for these individuals. The accurate prediction of readmission risk is essential to ensure that this potentially life-saving clinical option is available to minimize inequities in care delivery. Existing studies relate hospital readmissions to demographic and socioeconomic factors including age, gender,6 race,7 geographic region,8 comorbidities9 and Medicaid coverage.9 18 Other relevant factors include patient capability of self care, social support, measures of illness severity, and functional status.12 , 15 , 16 The inclusion of some of these components may help identify patients at high risk of 30-day hospital readmissions.

Existing literature suggests that lower functional status increases the probability of readmission across different settings and conditions, including the Veterans Health Administration,19 rehabilitation settings,20 22 and in acute hospitals for heart conditions,23 27 chronic obstructive pulmonary disease,15 , 28 30 burn injuries,31 and all-cause readmissions.19 , 32 34 However, acute care studies have been based on small sample sizes ranging from 45 to 938 patients. The extent to which the relationship between functional status and all-cause readmissions is generalizable to the US population remains unexplored.

The goal of this study is to assess the relationship between functional status and all-cause 30-day hospital readmissions using a representative sample of the US population.

METHODS

Data Sources

The Medical Expenditure Panel Survey (MEPS) is a nationally representative survey of the US population conducted by the Agency for Healthcare Research and Quality. MEPS began in 1996 and was designed to assess health services utilization, health care expenditure, and the scope and breadth of health insurance. Each year, a new cohort of households is selected and followed for 2 years. Within this period, there are five rounds of data collection. However, not all the components of the survey are administered each time. We employed two components of the publicly available Household Files, the Hospital Inpatient Stay Files and the Full-Year Consolidated Files. Individuals in the Hospital Inpatient Stay Files were selected and their sociodemographic information, comorbidities, Short-Form 12-Item Health Survey Version 2® (SF-12) scores, geographic region, and residential area were added from the Full-Year Consolidated Files.

Individuals with at least one hospitalization between 2003 and 2011 who completed the SF-12 before the first hospitalization were included in our sample. We used the SF-12 before the first hospital admission as a measure of functional status at baseline.35 We appended cases across 9 years of data to achieve a sufficiently large sample. For each study period, only one cohort hospitalization was selected for each patient. If more than one hospitalization per patient met the criteria, we selected the one with an earliest admission date. Only readmissions that occurred within 30 days were counted as occurrences for this study. All-cause readmissions were included; thus, readmissions may or may not be related to procedures listed on the first hospital admission.

Variables

Our outcome of interest was 30-day all-cause hospital readmission. We defined a hospital readmission as any subsequent hospitalization within 30 days of the index admission.

Functional status was measured with SF-12 Version 2. It is a self-administered questionnaire designed to cover the following eight domains of the Short-Form 36 (SF-36): physical functioning, role limitations due to physical problems, bodily pain, general health perceptions, energy and vitality, social functioning, role limitations due to emotional problems, and mental health. The SF-12 contains 12 items, which are organized into physical (PCS) and mental (MCS) summaries. PCS and MCS are standardized to the US population. Therefore, scores can be directly interpreted based on the normal US population with a mean of 50 and a standard deviation (SD) of 10. Higher scores imply better functional status. The SF-12 has shown higher precision and lower ceiling and floor effects compared to its predecessor, the SF-36 Version 1.0.36 , 37

We also adjusted for age (grouped into 18 to 45 years, 46 to 64 years, and 65 years and above), gender, race and ethnicity, insurance status (public, private or uninsured), diagnosed comorbidities (diabetes, high blood pressure, myocardial infarction, other heart conditions, and 18 three-digit ICD-9 categories—see Appendix), reason for hospitalization (surgical, medical or give birth), length of stay at the first hospitalization, and residential area. The medical category under reason for hospitalization includes those patients who were admitted into the hospital that received treatment or therapy, or that underwent diagnostic tests only. Finally, we also controlled for the number of days between the SF-12 completion date and the first hospitalization to account for temporal measurement differences in functional status.

Statistical Analysis

First, we compared the demographic characteristics (age, sex and race/ethnicity), presence of several comorbid conditions, insurance coverage, PCS, MCS, reason for hospitalization, length of hospital stay, region, and residential area between patients who were readmitted within 30 days and those not readmitted. We used the Rao-Scott chi-square test for all categorical variables, and weighted and design effect adjusted t tests for continuous variables. Potential multicollinearity was assessed using the Variance Inflation Factor (VIF).

Second, we estimated a multivariable logistic model to assess variables influencing the probability of being readmitted within 30 days, controlling for differences in patient demographics, comorbid conditions, PCS and MCS, length of stay, region, residential area, and days between the SF-12 completion date and the first hospital admission date. We analyzed selected interactions between the SF-12 and demographics, reason for hospitalization and comorbid conditions to evaluate potential improvements to the model.

Data were analyzed using SAS software (v.9.3, SAS Institute Inc., Cary, NC, USA). All analyses were conducted using PROC SURVEY procedures to account for sampling and post-stratification weights, yielding nationally representative estimates for the US. We included sampling strata information (STRATA statement), hospital information (CLUSTER statement), and individual weight information (WEIGHT statement). Odds ratios (OR), 95 % confidence interval (CI), and p values are reported based on these models. For all statistical analyses, the threshold of statistical significance was a p value below 0.05.

Model calibration was determined by the Hosmer-Lemeshow Test and inspection of observed versus predicted ratios by decile of predicted 30-day readmission risk. Model discrimination was assessed by the c statistic. The accuracy of the SF-12 parameter estimate was tested using Bonferroni and bootstrap techniques.38 , 39 We assessed whether the statistical significance (P value) of the study variables remained stable across 1,000 bootstrap subsamples. The Net Reclassification Improvement (NRI) was computed to evaluate whether the SF-12 improves the predictive ability of our hospital readmissions model.

Finally, missing values accounted for less than 5 % of the observations for all study variables, and were thus ignored.

The Boston University Institutional Review Board approved this study (Institutional Review Board H-33088).

RESULTS

The study sample included 3,772 individuals, and 8 % of them were readmitted within 30 days (Table 1). The mean age of hospitalized patients was 53 years, 64 % were females, 75 % Non-Hispanic White, 66 % had private insurance, 38 % were from the South region, and 21 % from rural areas. Those readmitted within 30 days were older than those who were not readmitted (P < 0.001). Of the hospitalized patients, 47 % had diagnosed high blood pressure, 17 % had diabetes, 11 % had myocardial infarction (MI) and 20 % had other heart conditions. These comorbid conditions were more prevalent among readmitted patients. For example, the prevalence of MI among readmitted patients was 24 % compared to 9 % among those who were not readmitted (p < 0.001). Mean PCS and MCS scores were 42.3 and 49.8, respectively. Yet PCS among readmitted patients was 37.5. This mean score is more than half of one SD lower, which indicates worse functional status, than those who were not readmitted (42.8) (p < 0.001). MCS scores were not significantly different between readmitted and non-readmitted patients (p = 0.329). These scores are lower (suggesting worse health status) than the norm of 50. On average, the SF-12 was completed 72 days before the first hospitalization. Approximately 40 % of total hospitalizations were surgical and 40 % were medical. However, 58 % of hospital readmissions were surgical, compared to 40 % medical (p < 0.001). Finally, mean length of stay was 3.8 days. Yet those who were readmitted had a longer length of stay at the first hospitalization compared to those who were not (4.8 vs. 3.7, p = 0.027).

Table 1 Demographics, Comorbid Conditions, Functional Status and Characteristics of the Hospitalization for Patients Who Were and Were Not Readmitted Within 30 Daysa

Our adjusted analyses (Table 2) suggested that PCS was a highly significant predictor of hospital readmissions. A one-unit difference in PCS reduced the odds of readmission by 2 % (odds ratio 0.98 [95 % CI, 0.97 to 0.99]; p < 0.001), which implies an 18 % reduction in the odds of readmissions for a ten-unit difference (one SD) in PCS. The association of MCS and readmission, however, was not statistically significant. Figure 1 presents mean predicted odds of 30-day readmission by PCS deciles, adjusting for all the variables in our model. Patients in the lowest PCS decile had twice the odds of 30-day readmission compared to patients in the highest PCS decile.

Table 2 Adjusted Odds of Being Readmitted Within 30 Daysa
Figure 1
figure 1

Adjusted odds of 30-day readmission by physical functioning (PCS) deciles. Note: Higher physical scores indicate better physical functioning. The mean and the 95 % CI of each decile were: 0.14 (0.137, 0.152), 0.13 (0.124,0.139), 0.11 (0.106, 0.121), 0.09 (0.081, 0.099), 0.08 (0.075, 0.088), 0.065 (0.060, 0.071), 0.061 (0.056, 0.065), 0.05 (0.049, 0.057), 0.056 (0.052, 0.0612), 0.051 (0.047, 0.055).

We also found that the odds of readmission were significantly associated with age, diagnosed MI, four ICD-9 groups, reason of hospitalization, the number of days between the SF-12 completion date and the first hospitalization, and residential area. Patients above 65 years of age were 67 % more likely to be readmitted within 30 days compared to those between 46 and 64 years (odds ratio 1.67 [95 % CI, 1.19 to 2.33]; p = 0.03). Being diagnosed with MI was associated with a 90 % increase in the odds of readmission (odds ratio 1.90 [95 % CI, 1.23 to 2.88]; p = 0.002). On the other hand, suffering a disease of the nervous system and sense organs, respiratory system or digestive system was associated with lower odds of readmission compared to diseases of the circulatory system. Medical patients were 69 % more likely to be readmitted compared to surgical patients (odds ratio 1.69 [95 % CI, 1.16 to 2.45]; P = 0.006). The number of days between the SF-12 completion and the first hospitalization also influenced readmissions (p < 0.001). Finally, patients in the Midwest had higher odds of 30-day readmission compared to those located in the South (odds ratio 1.45 [95 % CI, 1.02 to 2.05].

The c statistic for the logistic model was 0.72. The minimum c statistic value is 0.5; the maximum is 1.0. Values between 0.7 and 0.8 show acceptable discrimination, values 0.8 to 0.9 indicate excellent discrimination and models above 0.9 demonstrate outstanding discrimination.40 Our model is able to discriminate in the acceptable range between those who were readmitted within 30 days and those who were not. The p value of the Hosmer-Lemeshow Test equaled 0.53. Therefore, we failed to reject the null hypothesis of no difference between observed and predicted values of the response variable; thus, the model showed good calibration. We also computed the observed and expected likelihood of readmission within 30 days by decile (Appendix Table 3), and most observed over expected ratios were close to 1. The p values of Bonferroni and bootstrap inference assessing the relationship between PCS and the odds of readmissions within 30 days remained stable (p < 0.001) using either statistical method (data not shown). We also found similar values for the rest of the statistically significant variables (age, MI, ICD-9 groups and reason for hospitalization), which strengthens our results. The corresponding NRI was 0.44 (p < 0.001), indicating improved ability to predict 30-day hospital readmissions once the SF-12 was added to the model.

The direction and significance of our reported findings were consistent across all our sensitivity analyses. We found that the relationship between PCS and the odds of being readmitted remained unchanged even after we adjusted for a potential confounder, whether the first hospitalization started with an emergency room visit, which is more prevalent among the patients who were readmitted (p < 0.001) (Appendix Table 4). Finally, we estimated our adjusted model adding hospital readmissions after 30 days to the study sample. The PCS coefficient in this analysis was comparable to the main model for readmission within 30 days (Appendix Table 5).

DISCUSSION

Using a US representative sample, we found that physical functional status (PCS) had a large and statistically significant impact on hospital readmissions within 30 days after adjusting for demographic characteristics, the most prevalent comorbid conditions, insurance coverage, mental functioning (MCS), reason of hospitalization, length of hospital stay, region, and residential area. According to our results, the physiological reserves of patients at baseline (before the first hospitalization) are associated with the probability of readmission. This is the first study to assess the association between functional status and hospital readmissions for a US representative population. The findings of this study have potentially important implications in improving the performance of existing 30-day readmission models.

Our results build on existing research, which reports a negative relationship between functional status and hospital readmissions. Examining inpatient rehabilitation data, Hoyer and colleagues found that the odds of readmission were three times higher for patients with the lowest functional scores compared to those with the highest scores, after adjusting for comorbidities, age, and severity of illness. However, the authors concluded that their results, based on data from a single inpatient rehabilitation hospital, needed to be replicated in a nationally representative sample to better understand their findings, scope and generalizability.22 Our study addresses this gap and corroborates their findings. The magnitude of our estimated effect is, however, lower than theirs (two times vs. three times difference in the odds of readmissions among patients with low and high scores).

Also, we found that MCS was not a significant predictor of hospital readmissions. Similarly, Hoyer and colleagues reported that Functional Independence Measures (FIM) (a standard measurement of function in inpatient rehabilitation facilities) motor domains were more highly related to unplanned readmissions than the cognitive domains.22 Pearson and colleagues found similar results among chronically ill patients using the MOS 36-Item Short-Form Health Survey (SF-36).33 However, other studies report that mental functioning also helps explain readmissions.19 , 41 Further research is needed to understand the interplay between physical and mental components and hospital readmissions. According to our results, medical patients were more likely to be readmitted than surgical patients across the PCS range, which has also been reported before.2 , 22 Future research should identify patient and system characteristics throughout the care continuum responsible for these observed differences.

Patient-reported measures of physical functioning are an important predictor of readmissions. PCS is a summary score with the greatest weights attributed to the physical function and role limitations due to physical problems. Energy and fatigue are also part of the instrument. The mere presence of comorbid conditions does not fully describe the impact of a disease on health status. A measure of functional status captures variability in impairment across individuals diagnosed with the same condition. Thus, it may be more sensitive to observed improvement in health status. Patients with multiple chronic conditions account for most hospital readmissions.42 The SF-12 could contribute to the design of effective interventions aimed at reducing hospital readmissions among complex and vulnerable patients.

Our study has several limitations unique to the data set used. First, ICD-9 codes included in our analysis were patient-reported. Specifically, they captured the first condition mentioned by the respondent as the reason for hospitalization, which may or may not correspond to the primary diagnosis on the medical record. Second, the SF-12 was completed in advance of hospital admission (median of 68 days). Thus, it acts as a measure of baseline patient functional status. However, there was notable timing variability among study subjects (standard deviation of 45 days). Our analyses suggest that this time lag provides information complementary to the SF-12 scores, and it was controlled for in the analyses. Further research should explore the optimal timing for measuring functional status and its influence on scoring. Third, we lacked clinical information characterizing patient illness severity, such as laboratory data and vital signs. Thus, our results may be confounded by the presence of a higher severity among readmitted patients. Neither provider nor system characteristics were available in the MEPS database, and they were not accounted for in our study. That said, there is no obvious reason why such variables could fully explain our findings. Given the variety of clinical problems, disease severity measurements are not routinely collected as part of administrative data sets. However, generic functional measurements may act as a surrogate marker of disease severity. Fourth, our model is not condition-specific, given data availability. Nevertheless, a generic functional measure is predictive of readmission across varied medical conditions, and therefore represents an elegant additional metric that can enhance existing readmission models. Future research should explore the impact of adding functional status as a covariate to models used by public and private insurers and how it may impact hospital profiling. Yet, given these limitations, our PCS results are highly significant (p < 0.001), large in magnitude, and they remained stable with sensitivity analyses as previously described.

Given the relative ease of administration and widespread use of the SF-12, its completion before hospitalization poses a small burden on patients that is more than compensated by the information to be gained. Programs to reduce readmissions may be more sustainable if they are focused on patients at the highest risk on the day of admission.16 , 43 As there are proprietary issues related to the SF-12 Version 2, we would recommend publically available short forms such as the EQ-5D,44 , 45 VR-12 or SF-12 version 1.0.46 , 47 These tools could be used to potentially identify patients at high risk of readmission, and, accordingly, address physical function as part of routine medical care and during the acute hospitalization, and tailor adequate follow-up care after discharge.

In summary, we found that lower (worse) PCS scores at baseline increase the odds of readmissions for a nationally representative sample. These results suggest that baseline physical function influences hospital readmissions, and thus, should be accounted for when predicting the risk of hospital readmissions.