Archives of Physical Medicine and Rehabilitation
Volume 89, Issue 7 , Pages 1276-1283, July 2008

Validation of the Charlson Comorbidity Index for Predicting Functional Outcome of Stroke

  • Annie Tessier, MPH

      Affiliations

    • School of Physical and Occupational Therapy, Faculty of Medicine, McGill University, Montreal, QC, Canada
    • Corresponding Author InformationReprint requests to Annie Tessier, MPH, Royal Victoria Hospital, Div of Clinical Epidemiology, 687 Pine Ave W, Ross 4:00, Montreal, QC H3A 1A1, Canada
  • ,
  • Lois Finch, PhD

      Affiliations

    • School of Physical and Occupational Therapy, Faculty of Medicine, McGill University, Montreal, QC, Canada
  • ,
  • Stella S. Daskalopoulou, MD, PhD

      Affiliations

    • Department of Epidemiology and Biostatistics and Occupational Health, Faculty of Medicine, McGill University, Montreal, QC, Canada.
  • ,
  • Nancy E. Mayo, PhD

      Affiliations

    • School of Physical and Occupational Therapy, Faculty of Medicine, McGill University, Montreal, QC, Canada
    • Department of Epidemiology and Biostatistics and Occupational Health, Faculty of Medicine, McGill University, Montreal, QC, Canada.

Article Outline

Abstract 

Tessier A, Finch L, Daskalopoulou SS, Mayo NE. Validation of the Charlson Comorbidity Index for predicting functional outcome of stroke.

Objective

To determine whether a separate comorbidity index is needed to predict functional outcome after stroke, we compared the predictability of the Charlson Comorbidity Index (CMI) and the Functional Comorbidity Index (FCI) to that of a stroke-specific comorbidity index with function quantified with a measure developed with a Rasch model as outcome.

Design

Two prospective inception cohort studies, in 1996 through 1998 and in 2002 through 2005, with up to 9 months of follow-up.

Setting

Participants enrolled in 2 studies were recruited from acute care hospitals in the Montreal area.

Participants

For study one, 1027 persons with a first stroke discharged into the community were eligible; the 437 who were interviewed a second time at 6 months were included in the analysis. In study two, 235 of 262 patients with stroke were enrolled.

Interventions

Not applicable.

Main Outcome Measures

To predict recovery, we developed 3 stroke-specific comorbidity algorithms based on the estimated strength of association between comorbidities and stroke function. The various indices were compared on the basis of their predictive ability with a c statistic.

Results

In study 1, the c statistics were .758, .763, .766, and .763 for the stroke-specific algorithms 1, 2, and 3 and the CMI, respectively. In study 2, the c statistics were .680, .700, .704, .714, and .714 for the algorithms 1, 2, and 3, the CMI, and the FCI, respectively.

Conclusions

For purposes of case-mix adjustment, the CMI seems to be more than adequate.

Key Words: Comorbidity, Rehabilitation, Stroke

List of Abbreviations: CI, confidence interval, CMI, Charlson Comorbidity Index, FCI, Functional Comorbidity Index, IADLs, Instrumental Activities of Daily Living, ICD-9, International Classification of Diseases, 9th Revision, ICF, International Classification of Functioning, Disability and Health, OR, odds ratio, OARS-IADL, Older American Resources and Services–Instrumental Activity of Daily Living, RNLI, Reintegration to Normal Living Index, ROC, receiver operating characteristic, SF-36, Medical Outcomes Study 36-Item Short-Form Health Survey, WHO, World Health Organization

 

STROKE IS A LEADING CAUSE of serious, long-term disability in the United States.1 In Canada, stroke affects over 50,000 persons a year, and the costs of treating stroke are substantial, initially because of acute care hospital costs and subsequently because of continued care for the 70% of persons who have suboptimal outcome.2 Understanding the factors3 present at baseline that affect outcome and health care utilization in the short-term and long-term poststroke is crucial. First, interventions targeting these high-priority factors could be implemented. Second, in research, accounting for comorbidity as part of case-mix adjustment explains an important portion of the variation in the outcome.4, 5 Some of the main variables that can predict functional outcome are stroke severity, age, comorbidity, education, and depression.6, 7 Comorbidity is defined as a clinical condition that exists at time of the onset of the event and is likely to influence the outcome under study.3

There are various approaches to comorbidity assessment. The impact of comorbidity is often assessed by simply summing the number of conditions from a specific list.8 Using this approach, each condition is weighted equally without considering its relative impact. Other approaches incorporate disease impact, such as that developed by Charlson et al9 to predict mortality. Each condition is weighted on the basis of its association with 1-year mortality. The CMI,9 the Cumulative Illness Rating Scale,10 the Index of Co-Existent Disease,11 and the Kaplan-Feinstein Index9 are examples of valid and reliable methods to measure comorbidity12; however, most of these indices focus on predicting mortality. Furthermore, it is unknown whether the influence of comorbidities on functional outcome among stroke survivors is similar to that on mortality. Therefore, it is justified to consider whether an index specific to functional outcome is needed.

There are also comorbidity indices developed specifically to predict function. The FCI was developed by Groll et al13 using a North American population affected mostly by orthopedic problems. Two other indices were developed with stroke survivors from Japan and Italy,14, 15 and 1 with Canadian institutionalized elderly.16 All these indices quantified function with a single measure such as the SF-36 physical function subscale, SF-36 physical component summary, FIM instrument, or Functional Autonomy Measurement System. There are numerous tests and indices that attempt to measure 1 or more components of function, and the outcome chosen for prediction may influence the weight placed on comorbidities. Modern psychometric theory based on item response theory and Rasch modeling has shown that it is possible to combine items from different tests and indices into a single measure that has interval-like properties and that covers the whole range of the construct.17 The mathematical properties of measure produced by these models are optimal for true measurement and adequate statistical analysis.18

At the moment, there is no agreed-on comorbidity index for predicting functional outcomes after stroke, nor is it clear that comorbidity indices predicting mortality will not predict function. The purpose of this study is to compare the predictability of stroke-specific comorbidity indices to the CMI9 and FCI,13 and identify whether a separate comorbidity index is needed to predict function after stroke.

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Methods 

First, we developed predictive models linking comorbidity to function; comorbidities were defined through a list of stroke-specific conditions and were weighted according to their impact on function. The predictive ability of the stroke-specific functional outcome comorbidity algorithms was then compared with the predictive ability of the CMI.9 The second step consisted of confirming the comparative predictability of stroke-specific algorithms to the CMI9 and FCI13 in a separate sample.

Participants 

The data for study 1 came from the Montreal Stroke Cohort, a prospective inception cohort aimed at estimating the extent of activity and participation at 6 months poststroke.2 Participants were recruited from 10 acute care hospitals in the Montreal area from 1996 to 1998. Only patients with confirmed initial stroke were eligible; 98% of participants had a computed tomography scan. They were contacted in person during their hospital stay or by mail after discharge and asked to participate in the study (mean length of stay, 15.8±14.8d). In all, 1027 persons with a first stroke discharged into the community were eligible. The 612 patients who agreed were interviewed at baseline, and the 437 participants who were interviewed a second time by telephone at 6 months (between 3 and 9 months; mean, 190.3±57.5d poststroke) were included in this analysis. The persons interviewed on time did not differ in initial stroke severity nor on any of the measures of outcome from those interviewed later.

For replication purposes, data from another sample of patients hospitalized for stroke were analyzed. Persons were excluded if a diagnosis of stroke was not confirmed by imaging or clinical examination within 24 to 72 hours. In addition, persons with the following conditions were excluded: transient ischemic attacks, hemiplegia resulting from nonvascular causes, subdural hematoma or subarachnoid hemorrhage, severe diseases such as end-stage cancer, pulmonary, cardiac, or renal disease, and severe cognitive impairments. Of the 262 persons eligible, 235 (89%) elected to participate. Their functional level was assessed within 3 days poststroke and at 3 months at the hospital by trained health professionals. Both studies had ethics approval from McGill University Institutional Review Board and from the research ethics committees of all participating hospitals.2, 19

Measures 

Comorbidity 

In study 1, comorbidities were ascertained from the medical chart; a list of 16 comorbidities commonly encountered among persons with acute stroke were examined and coded according to the ICD-9. The list of conditions included only those prevalent before the stroke so as not to include health conditions that arose from the stroke. This list had previously been compiled to meet the needs of comorbidity adjustment for research purposes in our research unit.19 These conditions included cardiovascular, respiratory, neurologic, musculoskeletal, metabolic, ophthalmic, and other diseases. Cerebrovascular diseases and hemiplegia were excluded because we considered only people with a first stroke. Comorbidity was also ascertained with the CMI9 and FCI.13 The FCI has been developed with physical function as the outcome. The CMI and FCI correlate fairly strongly (Spearman ρ=.62; P<.001). The FCI is significantly associated with the physical function subscale and physical component subscale scores of the SF-36.20

Function 

We defined function according to the WHO's ICF model.21 Function is an umbrella term composed of all positive aspects of body functions and structures, activities, and participation, whereas disability is composed of the negative aspects. For both studies, the outcome was developed through a partial credit Rasch modeling using RUMM 2020 software.a

Functional recovery measure 

In study 1, we analyzed 39 items from 5 tests and indices. After item reduction, the resulting functional recovery measure19 consisted of 12 items from 4 tests and indices (SF-36 physical function scale, RNLI, OARS-IADL, Barthel Index) encompassing IADLs, physical functioning, and participation (appendix 1). Rasch analysis ordered the items by difficulty from the easiest item, “Can you get to the toilet independently?” to the hardest, “Does your health limit you in performing vigorous activities?” The items score was 0, 1, or 2, and the total score ranged from 0 to 18 and has excellent internal reliability (person hierarchy reliability, .97). The item and person fit criteria were the standardized fit residuals ±2. The global model fit criteria was a nonsignificant chi-square or F statistic.

Measure of functioning at 3 months 

For study 2, another measure of functioning was developed through Rasch analysis by combining 204 items from 14 tests and indices evaluating capacity through direct observation and performance using a person's rating of difficulty. It has been found that the combination of self-reported and performance-based measures refined prognostic information.22 The resulting measure of functioning at 3 months was composed of 52 items (including the 12 from the functional recovery measure19) from 7 tests and indices (SF-36, Chedoke-McMaster Stroke Assessment, Stroke Rehabilitation Assessment of Movement, Berg Balance Scale, Stroke Impact Scale, Preference-Based Stroke Index, 5-m walking speed) and encompassed limb movements, balance, mobility, activities of daily living, and life role participation (see appendix 2 for list of the items and indices). The item difficulty ranged from the easiest, “facilitate finger flexion,” to the hardest, “walking speed >1.3m/s,” with the item of average difficulty being “walk 3 steps sideways.” The item score was 0 or 1. The total score ranged from 0 to 51 and had excellent internal reliability (person hierarchy separation, .99). Both measures met the requirements of Rasch model, confirming that the items adequately define the continuum of function. Unidimensionality was ascertained by principal components analysis of the person item residuals with the criterion that the variance of the first principle component be less than 10%.

Statistical Analyses 

Creation of algorithms: estimating the impact of comorbidities on function 

Stroke-specific algorithms were created by estimating the strength of the association between the comorbidity index and functional outcome in the first study. Despite the fact that function here could be considered on an interval-like scale because of the Rasch model, linear regression was not used to identify the predictive ability of comorbidity because the CMI9 was based on the strength of the prediction of mortality and morbidity (dichotomous outcomes) after hospitalization, and the weights assigned to comorbidities were based on the OR. To use OR-based weights, function was hierarchically categorized according to its distribution and analyzed with an ordinal regression model, which yields OR. The continuation odds model was used, which creates a summary OR across all possible consecutive cut-points of functional outcome using maximum likelihood methods. The OR is interpreted as the impact of comorbidity on the probability of a worse functional outcome regardless of how worse was defined (constant across the cut-points).

Creation of algorithms: weights 

Three stroke-specific algorithms were created using different weights for the comorbidities. The weights for the algorithms were based on the magnitude of the point estimate of the summary OR. The weights for algorithm 1 were attributed using the criteria applied by Charlson et al9; conditions with an OR less than 1.2 were dropped (weighted 0), between 1.2 and 1.49 were weighted 1, between 1.5 and 2.49 were weighted 2, between 2.5 and 3.49 were weighted 3, and greater than 3.5 were weighted 6. To include more conditions, 2 other algorithms were created with different criteria to allocate weights. The weights for algorithm 2 were as follows: OR <.99, weighted 0; OR between 1 and 1.19, weighted 1; and OR >1.2, weighted 2. The weights for algorithm 3 were as follows: OR <.99, weighted 1; OR between 1 and 1.19, weighted 2; and OR >1.2, weighted 3. A comorbidity score was calculated using each algorithm. A CMI9 score was also computed for each sample. Because of incomplete information, a score on the FCI13 could be calculated only for study 2.

Comparison of predictive capacity 

The c statistic was used to compare the predictive ability of the different methods. The c statistic quantifies the area-under-the-ROC curve—a measure of the discrimination ability of various predictors of an event or outcome. The c statistic represents the proportion of all possible pairs of observations where the member with the outcome has a higher predicted value than the member without it. Values range from 0 to 1, with 1 indicating perfect prediction and 0.5 being chance prediction; values greater than 0.7 indicate acceptable prediction; greater than 0.8, excellent prediction.4 The c statistics were derived from the ordinal regression models and calculated for each scoring method. Spearman correlations were also calculated for each index against the ordinal outcomes.

Determination of whether the fit statistics were model-dependent 

We allowed the outcomes to be first dichotomous, and used logistic regression to correspond to how the CMI9 was developed; and second continuous, and used linear regression because this was the model used to develop the FCI.13 The R2 statistic was calculated from a logistic regression. It compares 2 averages: the average predicted probability for those with and those without the outcome. As long as the average predicted probability is greater for those with the outcome than those without, this is evidence of predictability. The magnitude has no real meaning because with dichotomous variables, the R2 statistic is always very small. However, it is useful for comparing across models. We used the maximum rescaled R2 statistic from a logistic regression, where 0 reflects no prediction and 1 reflects perfect prediction. Maximum rescaled R2 statistic is similar to an R2 from linear regression, which we also calculated. The models were not adjusted for confounders; comorbidity is most often used as a confounder, not as a variable under study. The statistical analyses were performed using the macro published by Scott et al23 with SAS software.b

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Results 

Selected characteristics of both samples are presented in table 1. The mean age of the participants was 70 and 72 years for studies 1 and 2, respectively. They were predominantly men, with ischemic stroke. About 80% had a moderate or severe stroke, and the main discharge destination was home at the time of follow-up after 14.7 and 16.9 days in the hospital for studies 1 and 2, respectively. Hypertension and diabetes were among the most common conditions. People in study 1 had on average 4 comorbidities (maximum, 12); for study 2, the mean was 2 (maximum, 5). The CMI score was 1.1 and 1.5 for studies 1 and 2, respectively. Their SF-36 physical function scale was not available for study 1 and was 74.6 for study 2.

Table 1. Characteristics of the Participants in the 2 Studies
CharacteristicsStudy 1 (n=437)Study 2 (n=235)
Mean age ± SD (y)69.7±12.571.6±20.6
Men/women, n (%)246(56)/191(44)146(62)/89(38)
Type of stroke, n (%)
Ischemic379(87)202(86)
Hemorrhagic56(13)33(14)
Stroke severity, n (%)
Very mild0(0)42(18)
Mild61(14)52(22)
Moderate188(43)96(41)
Severe188(43)45(19)
Comorbidities, n (%)
Hypertension242(57)170(72)
Arthritis153(36)20(9)
Hearing impairment109(25)11(5)
Cataract101(24)18(8)
Bronchitis101(24)17(7)
Myocardial infarct89(21)34(14)
Angina84(20)16(7)
Diabetes81(19)60(26)
Cancer40(9)51(22)
Mean no. of comorbidities ± SD4.1±2.32.0±1.0
Mean CMI score ± SD1.1±1.21.5±1.5
Mean physical function before stroke ± SDNA74.6±29.4
Mean length of stay in acute care ± SD14.7±12.716.9±20.9
Discharge destination, n (%)
Rehabilitation271(44)21(9)
Home326(53)181(77)
Long-term care0(0)31(13)

NOTE. The comorbidities are listed according to their prevalence in study 1.

Abbreviation: NA, not available.

Table 2 presents the level of functioning at the time of discharge of the participants as indicated by the Rasch-modeled functional outcomes and each of the constituents of these outcomes. For study 1, the median score on the functional recovery measure was 72.2 out of 100; for study 2, the median score on the measure of functioning at 3 months was 36 out of 100. Considering the constituents of the measures, most participants function reasonably well on basic activities, with scores in the higher range on most scales. The average score on physical function was relatively low for both samples (study 1 median, 70; study 2 median, 50), but 50% had a score of 70 or higher. The norm for this age group is 75.7.24 The correlations between the functional recovery measure, the measure of functioning at 3 months, and the individual measures used to derive the outcome were all within the moderate to high range.

Table 2. Level of Functioning of the Participants and Correlations Between the Functional Outcomes and Their Constituents
StudyMedian (Interquartile)r
Study 1 (n=437)
Functional recovery measure72.2(50.0)
Constituents
Barthel Index (0–100)100.0(10.0)0.59
OARS-IADL (0–14)13.0(4.0)0.76
RNLI (22–0)3.0(8.0)−0.69
Physical function (0–100)70.0(45.0)0.68
Study 2 (n=235)
Measure of functioning at 3mo36.0(19.0)
Constituents
Physical function (0–100)50.0(55.0)0.82
CMSA (1–42)37.0(8.0)0.93
STREAM (0–100)93.9(18.8)0.87
BBS (0–56)50.0(13.0)0.85
SIS-16 (0–100)75.0(38.4)0.89
PBSI (0–100)71.9(31.0)0.80
Gait speed5.0(2.0)0.85

NOTE. All correlations are significant at P<.001.

Abbreviations: BBS, Berg Balance Scale; CMSA, Chedoke-McMaster Stroke Assessment; PBSI, Preference-Based Stroke Index; STREAM, Stroke Rehabilitation Assessment; SIS-16, Stroke Impact Scale−16-question version.

Table 3 presents the comorbidities with their estimated ORs from study 1 along with the different weights applied by each index. Weights for comorbidities not included in the indices were assigned 0 by default (blank on the table). For example, Parkinson's disease increases the risk of having a poorer functional outcome by 1.43, which corresponds to a weight of 1 in algorithm 1, 2 in algorithm 2, and 3 in algorithm 3. In the CMI and FCI, Parkinson's disease is not included and hence, by default, was assigned a weight of 0. In table 3, the statistical properties of each of the indices are also shown. The number of comorbidities in each index varied from 7 to 19. The theoretical score range of the CMI was the widest, whereas algorithm 1 had the narrowest range. The average value of the indices varied from 0.2 to 5.2. Thirty-seven percent of scores on the CMI are either the maximum or the minimum score.

Table 3. Comparison of Stroke-Specific Algorithms, CMI, and FCI
ComorbidityORStroke-Specific AlgorithmsCMIFCI
123
Parkinson's disease1.43123NENE
Chronic obstructive pulmonary disease/emphysema1.3612311
Thyroid disease1.34123NENE
Glaucoma1.33123NENE
Liver disease1.301231NE
Asthma1.26123NE1
Gastrointestinal ulcer1.241231NE
Cancer1.150122NE
Diabetes mellitus1.1501211
Hypertension1.13012NENE
Myocardial infarction1.0501211
Arthritis or connective tissue disease1.0301211
Angina1.01012NE1
Bronchitis0.97001NENE
Impaired hearing0.94001NE1
Cataract0.82001NENE
Congestive heart diseaseNENENENE11
Peripheral vascular diseaseNENENENE11
DementiaNENENENE1NE
Cerebrovascular diseaseNENENENE11
HemiplegiaNENENENENENE
Moderate or severe renal diseaseNENENENE2NE
Diabetes with end-organ damageNENENENE2NE
LeukemiaNENENENE2NE
LymphomaNENENENE2NE
Moderate or severe liver diseaseNENENENE3NE
Metastatic solid tumorNENENENE6NE
Acquired immune deficiency virusNENENENE6NE
OsteoporosisNENENENENE1
Neurologic diseaseNENENENENE1
Upper gastrointestinal diseaseNENENENENE1
Anxiety disorder or depressionNENENENENE1
Visual impairmentNENENENENE1
No. of conditions 713161815
Theoretical range 0–70–200–360–370–15
Study 1
Mean ± SD 0.5±0.82.5±2.25.2±4.11.1±1.2
Median 02.05.01.0
Observed range 512236
% score max/min 0/670/180/120/37
Study 2
Mean ± SD 0.2±0.41.8±1.33.6±2.41.5±1.52.5±2.2
Median 0.0231.02
Observed range 2712612
% score max/min 1/860/110/111/300/18

NOTE. Algorithm 1: OR <1.2 weighted as 0; OR 1.2 to 1.49 weighted as 1; OR 1.5 to 2.49 weighted as 2; OR 2.5 to 3.49 weighted as 3; OR >3.5 weighted as 6. Algorithm 2: OR <.99 weighted as 0; OR 1 to 1.19 weighted as 1; OR >1.2 weighted as 2. Algorithm 3: OR <.99 weighted as 1; OR 1 to 1.19 weighted as 2; OR >1.2 weighted as 3.

Abbreviations: NE, not estimated; % score max/min, percentage of scores that are either the maximum or minimum score.

Table 4 presents model fit statistics for different indices and for each of the statistical models (ordinal, logistic, linear). The ability of each model to predict functional outcome was compared with the c statistic. All indices had comparable c statistics. All indices except algorithm 1 were significantly correlated with function.

Table 4. Model Fit Statistics of the Indices
Studyc statisticsSpearman ρR2Maximum Rescale R2R2
From Logistic RegressionFrom Logistic RegressionFrom Multiple Linear Regression
Study 1
Algorithm 1.758−.03.002.003.014
Algorithm 2.763−.08.003.004.010
Algorithm 3.766−.13.007.010.002
CMI.763−.11.004.006.003
Study 2
Algorithm 1.680.00.002.002.000
Algorithm 2.700−.15.019.025.017
Algorithm 3.704−.17.027.036.026
CMI.714−.20.046.061.041
FCI.714−.27.043.058.078

P<.05.

The R2 and the maximum rescaled R2 obtained from logistic regression showed a minimal difference between the indices and indicated that only a small proportion of variability in the outcomes was explained by comorbidity alone, which was expected, because a huge amount of variability in outcome is more often explained by the extent of the damage or disease process, whereas comorbidity tends to account for what is unexplained by known factors. When the outcome was treated as a continuous variable in a linear regression, the index with the highest proportion of variance explained was the FCI13 (7.75%), only slightly higher than the CMI (4.14%). The results of the different fit statistics used to compare the indices are consistent (see table 4).

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Discussion 

Comorbidities can compromise recovery from a stroke. The CMI9 is widely used in studies predicting function,25, 26, 27 although its use can be questioned because it was developed to predict mortality and morbidity. To account better for the effect of comorbidities when assessing rehabilitation programs, several comorbidity indices have been recently developed to predict functional outcomes.13, 14, 15, 16, 20 To verify the need for a stroke-specific comorbidity index, we developed 3 stroke-specific comorbidity algorithms.

In this study, we defined function specifically for stroke. How function is defined may have important implications for determining the contribution of a specific comorbidity index. We used a conceptually driven measure of function that reflects not only capacity but also the patient's perspective on performance and goes beyond physical functioning. The interval-like measures were developed integrating the WHO's ICF framework, and the items were quantified and ordered using Rasch analysis (functional recovery measure and measure of functioning at 3 months).

In addition to the diversity of outcome being predicted, the statistical methods used in the literature to estimate the predictive values of the existing indices also varied. For example, Liu et al,14 using simple correlation, found a slightly higher value for their index (ρ=−.51) than the CMI (ρ=−.23). Bravo et al,16 using linear regression and R2, showed that their index explained 10% more variance in function than the CMI (Bravo index: R2=.26; 95% CI, .18–.35; CMI: R2=.16; 95% CI, not reported). The Bravo index also had a 7% better predictive power (ROC=.86; 95% CI, .80–.90) than the CMI (ROC=.79; 95% CI, not reported). Groll et al,13 using linear models, found significant correlations between the FCI and SF-36 subscales, with ρ ranging from −.296 to −.548, whereas the correlations with the CMI were not significant and ranged from −.112 to −.249. Also reported was a significant relation between the FCI and physical function (and physical health) in a multiple linear regression controlling for other factors. The CMI was not found to be related to function. The proportion of variance in physical function explained by the FCI alone was not reported; the proportion explained with 9 other variables in the model ranged from .14 to .39, depending on outcome and period.

Our results suggest that the CMI9 provides as good a prediction of long-term functional outcome as other indices developed specifically to predict function or developed specifically for the stroke population. High comorbidity as measured by the CMI has also been associated with poorer outcome in the short term after acute stroke (OR=1.36; P=.038).27 In our samples, the CMI showed acceptable to excellent prediction for function in the community (c=.763), and slightly higher prediction than the stroke-specific algorithms and the FCI (c=.714). Our results support that an index developed to predict mortality can be used to predict function; similarly, Gabriel et al28 found that a comorbidity index developed to predict function could also predict mortality. This suggests that function and mortality are related and that there might be the possibility for using interchangeably these 2 types of comorbidity indices.

The small proportion of variance explained by the indices needs to be considered in the context of the data used—those arising from research studies that had inclusion and exclusion criteria. Variance explained depends on the range of both the outcome and the exposure (comorbidity). The outcome covers the full range of the construct (10 logits where 1 logit is similar to an SD); the exposure, comorbidity, has a theoretical range of 0 to 37 in the case of the CMI, but in this sample, the observed range was 6. Comorbidity adjustment is used to compare across settings, and in reality, the range of comorbidity may greatly exceed that observed here. As a result, in real-life clinical situations, the proportion of variance in outcome explained by comorbidity may be larger, with a larger range of comorbidity.

Another source of variation in quantifying the predictive ability of different comorbidity indices is the statistical model used to link comorbidity to outcome. We compared predictive ability using logistic, ordinal, and linear models to correspond to treating the outcome as binary, ordered categories, and continuous. The CMI performed as well as, if not better than, the other indices, independent of the model used.

The algorithms were developed with data derived from 2 samples of stroke survivors at 3 to 9 months. This is an optimal period because (1) function tends to stabilize after 3 months,29 (2) many aspects of function cannot be assessed until the person fully experiences community challenges, and (3) there is a great deal of variability in the recovery process early on that would affect the ability of the comorbidity index to predict a moving target. Therefore, targeting this period is appropriate. The samples are similar to stroke populations in the literature.25, 30, 31 The sample for study 1 was restricted to community dwellers, but this sample is relevant because a large proportion of the overall stroke population (69%–87% of stroke survivors, depending on the study) are discharged back to the community,32 and this proportion is rising with time.33 The need to predict function is most important for this group. The information is used to identify need for services and to allocate adequate resources not only to improve function but also to manage comorbidities.

Study Limitations 

This study has a number of strengths and limitations. Both studies were inception cohorts, and there was substantial documentation of the study participants.2, 19 The sample sizes were relatively large for clinical studies of stroke. The outcomes were comprehensive, with good mathematical properties. However, there is no standard list of conditions to assess comorbidity. The list that we used is not inclusive, and the exclusion of conditions such as obesity, depression, or dementia before the occurrence of stroke may have influenced the predictive power of the indices; however, the CMI9 includes dementia. Furthermore, these comorbidities are relatively infrequent in the stroke population (11%–18% have obesity; 8%–9% have depression; 1%–2% have dementia)14, 25, 34, 35 and inconsistently recorded in the medical record. Although there were 2 different formats of the outcome, because of the conceptualization and the mathematical approach (Rasch modeling), the measure of functioning at 3 months, used in study 2, is compatible with the functional recovery measure used in study 1. These measures are comparable because similar items were included.

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Conclusions 

The CMI, although originally developed for predicting mortality and subsequently validated for some indicators of morbidity, predicted function as well as, if not better than, stroke-specific comorbidity indices. For purposes of case-mix adjustment, the CMI seems to be more than adequate for explaining variability in functional outcome poststroke; it is widely known and easily obtained from either clinical or administrative data. Use of standard assessments for comorbidity will facilitate comparisons across studies and settings.

Suppliers

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Appendix 

Appendix 1. THE ITEMS OF THE FUNCTIONAL RECOVERY MEASURE USED IN STUDY 1 AND THEIR LEVEL OF DIFFICULTY
ItemDifficulty in LogitsScore out of 100Score
Does your health limit you in performing vigorous activities?5.35100Y/N
Does your health limit you in lifting or carrying groceries?1.9166Y/N
Are you able to take trips out of town?1.7063Y/N
Does your health limit you in performing moderate activities?1.4156Y/N
Are you able to participate in recreational activities as you want to?1.0955Y/N
Can you do your own house work without help (scrub floors etc.)?0.6044Y/Partially/N
Do you spend most of your day occupied in activities that are necessary or important to you?0.5044Y/N
Does your health limit you in climbing 1 flight of stairs?−0.2843Y/Partially/N
Does your health limit you in bathing/dressing yourself?−1.4238Y/Partially/N
If there was no one to help you with your feeding, could you do it alone?−2.5831Y/Partially/N
Do you move around living quarters as you feel is necessary?−3.0622Y/Partially/N
Can you get to the toilet independently?−5.220Y/Partially/N

NOTE. Items are from the following indices: SF-36 physical function scale, RNLI, OARS-IADL, and Barthel Index.

Abbreviations: N, no; Y, yes.

Appendix 2. THE ITEMS OF THE MEASURE OF FUNCTIONING AT 3 MONTHS USED WITH STUDY 2
52 ItemsDifficulty in LogitsScore out of 100
Facilitate finger flexion−5.181
Sit unsupported−4.765
Flex hip partially in lying−4.646
Facilitate dorsiflexion or toe extension−4.478
Facilitate log roll to side lying−3.9513
Flex finger/wrist >50% of range−3.3619
Flex knee partially in sitting−2.9423
Bridge with equal weight-bearing−2.8624
Invert ankle−2.4029
Flex hip fully lying−2.2730
Get to the toilet with difficulty−2.0932
Flex knee fully in sitting−2.0432
Open hand from fist−1.8834
Dress top half of body−1.3239
Walk in the house−1.2740
Oppose little finger and thumb−1.1341
Get to the toilet without difficulty−1.0043
Lift foot off floor 5×5s in sit−0.9144
Bathe yourself without difficulty−0.9044
Flex arm to 90° then supinate/pronate−0.8244
Wrist and fingers extended abduct fingers−0.5048
Climb one flight of stairs−0.3349
Turn doorknob without difficulty−0.2750
Extend hip and flex knee−0.1351
Walk 3 steps sideways0.0853
Tap index finger 10 times in 5s0.1354
Arm resting at side of body: raise your arm over head with full supination0.2355
Gait speed >0.5 but <0.8m/s0.3256
Lace shoes without difficulty0.3756
Shoulder flexion to 90°: trace a figure 80.7060
Unable to work/do activities0.9062
Gait speed >0.8 but <1.3m/s0.9962
Walk several blocks1.0563
Shoulder flexion to 90°: scissors in front 3 times in 5s1.0663
Heel on floor: tap foot 5 times in 5s1.2165
Pour water from pitcher to cup, then reverse1.3866
Walk in the community1.4267
Clip toenails without difficulty1.4367
Elbow flexed 90° at side: resist external shoulder rotation1.5768
Stand with 1 foot in front 30s1.9472
Unable to do physically demanding activities2.0173
Touch fingertips then reverse 3 times in 12s2.0173
Stand on weak leg for 5s2.5378
Do heavy housework without difficulty2.6679
Trace leg pattern quickly2.9282
Quick ankle circumduction3.0483
Drive a car as before3.2185
Able to work/do activities3.5087
Bounce a ball3.7690
Walk tandem for 2m in 5s3.8191
Able to do physically demanding activities4.5198
Gait speed >1.3m/s4.86100

NOTE. The items are ordered by difficulty. Boldface represents those for which persons rate their difficulty in performing the activity; nonshaded items are those items for which performance is observed and rated. Items are from the following indices: SF-36, Chedoke-McMaster Stroke Assessment, Stroke Rehabilitation Assessment of Movement, Berg Balance Scale, Stroke Impact Scale, Preference-Based Stroke Index, and 5-m walking speed.

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 No commercial party having a direct financial interest in the results of the research supporting this article has or will confer a benefit upon the authors or upon any organization with which the authors are associated.

PII: S0003-9993(08)00274-8

doi:10.1016/j.apmr.2007.11.049

Archives of Physical Medicine and Rehabilitation
Volume 89, Issue 7 , Pages 1276-1283, July 2008