# Elixhauser Comorbidities

    library(medicalcoder)
    packageVersion("medicalcoder")
    ## [1] '0.9.0'

# Introduction

The medicalcoder package implements several variants of the Elixhauser comorbidity algorithm.

- Based on codes provided by the Agency for Healthcare Research and Quality (AHRQ) for fiscal years 2022 through 2026 (Healthcare Research and (AHRQ) 2025)
  - `elixhauser_ahrq2022`
  - `elixhauser_ahrq2023`
  - `elixhauser_ahrq2024`
  - `elixhauser_ahrq2025`
  - `elixhauser_ahrq2026`
  - `elixhauser_ahrq_icd10` - All ICD-10 codes ever listed by AHRQ
- Codes from Table 2 of Quan et al. (2005)
  - `elixhauser_elixhauser1988`: (Elixhauser et al. 1998; Quan et al. 2005)
  - `elixhauser_ahrq_web`: (Quan et al. 2005; Healthcare Cost and Utilization Project (HCUP) 2017)
  - `elixhauser_quan2005`: (Quan et al. 2005)

IMPORTANT NOTE: Elixhauser 1998 and AHRQ Web used diagnosis-related group (DRG) codes as part of the methods. The medicalcoder package does not use DRG codes. This is consistent with the way these methods were implemented in Quan et al. (2005).

# ICD Codes and Index Scores

End users may access three lookup tables relevant to Elixhauser variants.

    str(get_elixhauser_codes())
    ## 'data.frame':    11294 obs. of  15 variables:
    ##  $ icdv                     : int  9 9 9 9 9 9 9 9 9 9 ...
    ##  $ dx                       : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ full_code                : chr  "042" "070.22" "070.23" "070.32" ...
    ##  $ code                     : chr  "042" "07022" "07023" "07032" ...
    ##  $ poaexempt                : int  NA NA NA NA NA NA NA NA NA NA ...
    ##  $ condition                : chr  "AIDS" "LIVER" "LIVER" "LIVER" ...
    ##  $ elixhauser_ahrq_web      : int  1 1 1 1 1 1 1 0 0 0 ...
    ##  $ elixhauser_elixhauser1988: int  1 0 0 1 1 0 1 0 0 0 ...
    ##  $ elixhauser_quan2005      : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ elixhauser_ahrq2022      : int  NA NA NA NA NA NA NA NA NA NA ...
    ##  $ elixhauser_ahrq2023      : int  NA NA NA NA NA NA NA NA NA NA ...
    ##  $ elixhauser_ahrq2024      : int  NA NA NA NA NA NA NA NA NA NA ...
    ##  $ elixhauser_ahrq2025      : int  NA NA NA NA NA NA NA NA NA NA ...
    ##  $ elixhauser_ahrq2026      : int  NA NA NA NA NA NA NA NA NA NA ...
    ##  $ elixhauser_ahrq_icd10    : int  NA NA NA NA NA NA NA NA NA NA ...
    str(get_elixhauser_index_scores())
    ## 'data.frame':    112 obs. of  11 variables:
    ##  $ condition                : chr  "AIDS" "AIDS" "ALCOHOL" "ALCOHOL" ...
    ##  $ index                    : chr  "mortality" "readmission" "mortality" "readmission" ...
    ##  $ elixhauser_ahrq_web      : int  0 19 -1 6 -2 9 0 4 NA NA ...
    ##  $ elixhauser_elixhauser1988: int  0 19 -1 6 -2 9 0 4 NA NA ...
    ##  $ elixhauser_quan2005      : int  0 19 -1 6 -2 9 0 4 NA NA ...
    ##  $ elixhauser_ahrq2022      : int  -4 5 -1 3 -3 5 NA NA -1 2 ...
    ##  $ elixhauser_ahrq2023      : int  -4 5 -1 3 -3 5 NA NA 0 2 ...
    ##  $ elixhauser_ahrq2024      : int  -4 5 -1 3 -3 5 NA NA 0 2 ...
    ##  $ elixhauser_ahrq2025      : int  -4 5 -1 3 -3 5 NA NA 0 2 ...
    ##  $ elixhauser_ahrq2026      : int  -4 5 -1 3 -3 5 NA NA 0 2 ...
    ##  $ elixhauser_ahrq_icd10    : int  -4 5 -1 3 -3 5 NA NA 0 2 ...
    str(get_elixhauser_poa())
    ## 'data.frame':    50 obs. of  8 variables:
    ##  $ condition            : chr  "AIDS" "ALCOHOL" "ANEMDEF" "AUTOIMMUNE" ...
    ##  $ poa_required         : int  0 0 1 0 1 0 0 0 0 0 ...
    ##  $ elixhauser_ahrq2022  : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ elixhauser_ahrq2023  : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ elixhauser_ahrq2024  : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ elixhauser_ahrq2025  : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ elixhauser_ahrq2026  : int  1 1 1 1 1 1 1 1 1 1 ...
    ##  $ elixhauser_ahrq_icd10: int  1 1 1 1 1 1 1 1 1 1 ...

- `get_elixhauser_codes()` returns a `data.frame` of the ICD codes mapping to each condition with indicators for the inclusion in specific variants.

- `get_elixhauser_index_scores()` returns a `data.frame` with points scored per condition for both mortality and readmission indices by variant.

- `get_elixhauser_poa()` returns a `data.frame` which reports which conditions are required and not required to be present-on-admission for the conditions to be classified as a comorbidity by variant. For the variants not listed the default is as with the Charlson and PCCC methods, the code needs to be present-on-admission for the condition to be flagged.

# Applying Elixhauser

The Elixhauser method considers if the diagnostic codes are for primary or secondary diagnoses. As such, the following call will throw a warning that the `primarydx.var` or `primarydx` argument was not set and that all conditions will be assumed to be secondary. To suppress this warning pass an appropriate value for either argument.

    # will warn because primarydx and primarydx.var are both NULL
    mdcr_results0 <-
      comorbidities(
        data = mdcr,
        id.vars   = "patid",
        icdv.var  = "icdv",
        icd.codes = "code",
        dx.var    = "dx",
        poa       = 1L,
        method    = "elixhauser_ahrq2025"
      )
    ## Warning: Assuming all codes provided are secondary diagnostic codes.  Define
    ## `primarydx.var` or `primarydx` if this assumption is incorrect.

    # no warning
    mdcr_results <-
      comorbidities(
        data      = mdcr,
        id.vars   = "patid",
        icdv.var  = "icdv",
        icd.codes = "code",
        dx.var    = "dx",
        poa       = 1L,
        method    = "elixhauser_ahrq2025",
        primarydx = 0L
      )

    identical(mdcr_results, mdcr_results0)
    ## [1] TRUE

The return object is a `data.frame` with `0L`/`1L` integer indicator columns for the relevant conditions, the id.vars (if applicable), `num_cmrb`, the number of comorbidities, `cmrb_flag`, a `0L`/`1L` indicator for presence of at least one comorbidity, and the mortality and readmission index scores.

    str(mdcr_results)
    ## Classes 'medicalcoder_comorbidities' and 'data.frame':   38262 obs. of  54 variables:
    ##  $ patid              : int  10000 10002 10005 10006 10008 10010 10014 10015 10017 10018 ...
    ##  $ AIDS               : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ ALCOHOL            : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ ALCOHOLLIVER_MLD   : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ ANEMDEF            : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ AUTOIMMUNE         : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ BLDLOSS            : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CANCER_LEUK        : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CANCER_LYMPH       : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CANCER_METS        : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CANCER_NSITU       : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CANCER_SOLID       : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CBVD_POA           : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CBVD_SQLA          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ CBVD_SQLAPARALYSIS : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ COAG               : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ DEMENTIA           : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ DEPRESS            : int  0 1 0 0 0 0 0 0 0 1 ...
    ##  $ DIAB_CX            : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ DIAB_UNCX          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ DRUG_ABUSE         : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ DRUG_ABUSEPSYCHOSES: int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ HF                 : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ HFHTN_CX           : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ HFHTN_CXRENLFL_SEV : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ HTN_CX             : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ HTN_CXRENLFL_SEV   : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ HTN_UNCX           : int  0 0 0 0 0 0 1 0 0 0 ...
    ##  $ LIVER_MLD          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ LIVER_MLD_NEURO    : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ LIVER_SEV          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ LUNG_CHRONIC       : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ NEURO_MOVT         : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ NEURO_OTH          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ NEURO_OTH_SEIZ     : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ NEURO_SEIZ         : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ OBESE              : int  0 1 0 0 0 0 0 0 0 0 ...
    ##  $ PARALYSIS          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ PERIVASC           : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ PSYCHOSES          : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ PULMCIRC           : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ RENLFL_MOD         : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ RENLFL_SEV         : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ THYROID_HYPO       : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ THYROID_OTH        : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ ULCER_PEPTIC       : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ VALVE              : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ VALVE_AUTOIMMUNE   : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ WGHTLOSS           : int  0 0 0 0 0 0 1 0 0 0 ...
    ##  $ CBVD               : int  0 0 0 0 0 0 0 0 0 0 ...
    ##  $ num_cmrb           : int  0 2 0 0 0 0 2 0 0 1 ...
    ##  $ cmrb_flag          : int  0 1 0 0 0 0 1 0 0 1 ...
    ##  $ mortality_index    : int  0 -15 0 0 0 0 13 0 0 -8 ...
    ##  $ readmission_index  : int  0 0 0 0 0 0 6 0 0 2 ...
    ##  - attr(*, "method")= chr "elixhauser_ahrq2025"
    ##  - attr(*, "id.vars")= chr "patid"
    ##  - attr(*, "flag.method")= chr "current"

Call `summary()` to get a list of summaries which can be used to generate summary tables.

    summary(mdcr_results)
    ## $conditions
    ##       condition count      percent
    ## 1          AIDS     3  0.007840677
    ## 2       ALCOHOL    11  0.028749151
    ## 3       ANEMDEF   700  1.829491401
    ## 4    AUTOIMMUNE   170  0.444305055
    ## 5       BLDLOSS    33  0.086247452
    ## 6   CANCER_LEUK   381  0.995766034
    ## 7  CANCER_LYMPH    76  0.198630495
    ## 8   CANCER_METS   213  0.556688098
    ## 9  CANCER_NSITU     0  0.000000000
    ## 10 CANCER_SOLID   477  1.246667712
    ## 11         CBVD   117  0.305786420
    ## 12         COAG   877  2.292091370
    ## 13     DEMENTIA    35  0.091474570
    ## 14      DEPRESS   321  0.838952485
    ## 15      DIAB_CX   123  0.321467775
    ## 16    DIAB_UNCX   184  0.480894883
    ## 17   DRUG_ABUSE    77  0.201244054
    ## 18           HF   246  0.642935550
    ## 19       HTN_CX   286  0.747477915
    ## 20     HTN_UNCX   395  1.032355862
    ## 21    LIVER_MLD   179  0.467827087
    ## 22    LIVER_SEV   159  0.415555904
    ## 23 LUNG_CHRONIC  1359  3.551826878
    ## 24   NEURO_MOVT   139  0.363284721
    ## 25    NEURO_OTH   948  2.477654069
    ## 26   NEURO_SEIZ  1490  3.894203126
    ## 27        OBESE   315  0.823271131
    ## 28    PARALYSIS   767  2.004599864
    ## 29     PERIVASC   209  0.546233861
    ## 30    PSYCHOSES    96  0.250901678
    ## 31     PULMCIRC   332  0.867701636
    ## 32   RENLFL_MOD   107  0.279650828
    ## 33   RENLFL_SEV   247  0.645549109
    ## 34 THYROID_HYPO   371  0.969630443
    ## 35  THYROID_OTH    36  0.094088129
    ## 36 ULCER_PEPTIC    23  0.060111860
    ## 37        VALVE   572  1.494955831
    ## 38     WGHTLOSS   616  1.609952433
    ## 39         >= 1  7869 20.566096911
    ## 40         >= 2  3186  8.326799435
    ## 41         >= 3  1135  2.966389629
    ## 42         >= 4   347  0.906905023
    ## 43         >= 5   120  0.313627097
    ## 44         >= 6    25  0.065338979
    ## 45         >= 7     7  0.018294914
    ## 46         >= 8     1  0.002613559
    ##
    ## $index_summary
    ##         index min q1 median q3 max
    ## 1 readmission  -2  0      0  0  35
    ## 2   mortality -24  0      0  0  75

Counts and percentages of patients in the mdcr example datasets with the Elixhauser Quan et al. (2005) comorbidities.
| Count | Percentage
--- | --- | ---
Comorbidity
AIDS | 3 | 0.008
ALCOHOL | 11 | 0.029
ANEMDEF | 700 | 1.829
AUTOIMMUNE | 170 | 0.444
BLDLOSS | 33 | 0.086
CANCER_LEUK | 381 | 0.996
CANCER_LYMPH | 76 | 0.199
CANCER_METS | 213 | 0.557
CANCER_NSITU | 0 | 0.000
CANCER_SOLID | 477 | 1.247
CBVD | 117 | 0.306
COAG | 877 | 2.292
DEMENTIA | 35 | 0.091
DEPRESS | 321 | 0.839
DIAB_CX | 123 | 0.321
DIAB_UNCX | 184 | 0.481
DRUG_ABUSE | 77 | 0.201
HF | 246 | 0.643
HTN_CX | 286 | 0.747
HTN_UNCX | 395 | 1.032
LIVER_MLD | 179 | 0.468
LIVER_SEV | 159 | 0.416
LUNG_CHRONIC | 1359 | 3.552
NEURO_MOVT | 139 | 0.363
NEURO_OTH | 948 | 2.478
NEURO_SEIZ | 1490 | 3.894
OBESE | 315 | 0.823
PARALYSIS | 767 | 2.005
PERIVASC | 209 | 0.546
PSYCHOSES | 96 | 0.251
PULMCIRC | 332 | 0.868
RENLFL_MOD | 107 | 0.280
RENLFL_SEV | 247 | 0.646
THYROID_HYPO | 371 | 0.970
THYROID_OTH | 36 | 0.094
ULCER_PEPTIC | 23 | 0.060
VALVE | 572 | 1.495
WGHTLOSS | 616 | 1.610
Total Comorbidities
>= 1 | 7869 | 20.566
>= 2 | 3186 | 8.327
>= 3 | 1135 | 2.966
>= 4 | 347 | 0.907
>= 5 | 120 | 0.314
>= 6 | 25 | 0.065
>= 7 | 7 | 0.018
>= 8 | 1 | 0.003

# References

Elixhauser, Anne, Claudia Steiner, D Robert Harris, and Rosanna M Coffey. 1998. “Comorbidity Measures for Use with Administrative Data.” Medical Care 36 (1): 8–27. https://doi.org/10.1097/00005650-199801000-00004.
Healthcare Cost and Utilization Project (HCUP). 2017. Elixhauser Comorbidity Software for ICD-9-CM. Https://hcup-us.ahrq.gov/toolssoftware/comorbidity/comorbidity.jsp.
Healthcare Research, Agency for, and Quality (AHRQ). 2025. Elixhauser Comorbidity Software Refined for ICD-10-CM Healthcare Cost and Utilization Project (HCUP). https://hcup-us.ahrq.gov/toolssoftware/comorbidityicd10/comorbidity_icd10.jsp.
Quan, Hude, Vijaya Sundararajan, Patricia Halfon, et al. 2005. “Coding Algorithms for Defining Comorbidities in ICD-9-CM and ICD-10 Administrative Data.” Medical Care 43 (11): 1130–39. https://doi.org/10.1097/01.mlr.0000182534.19832.83.