Mapping Study Physical Activity to NHANES Quantiles

library(mapnhanespa)

Purpose

mapnhanespa maps physical activity summaries from a study sample onto population-level quantiles estimated from the National Health and Nutrition Examination Survey (NHANES) 2011-2012 and 2013-2014 accelerometer waves. These NHANES cycles are useful reference populations because participants wore ActiGraph GT3X+ accelerometers on the non-dominant wrist for seven consecutive days, producing nationally representative accelerometry data.

The package is designed for the common setting where a study has participant identifiers, age, sex or gender, a physical activity measure, and a value for that measure. Instead of comparing raw values across measures with different scales, the package evaluates each value against the corresponding NHANES cumulative distribution function (CDF). The result is a quantile in [0, 1] that can be interpreted relative to the NHANES reference distribution.

The CDFs in this package are based on NHANES 2011-2014 activity count, MIMS, and step-count summaries. The step-count measures relate to work applying multiple step-counting algorithms to high-resolution wrist accelerometry data from NHANES 2011-2014 (Koffman et al. 2025). The minute-level NHANES step count and physical activity data are also available through PhysioNet (Koffman and Muschelli 2025).

Basic Mapping

Use map_nhanes_pa_quantiles() when the input data have one row per participant-measure observation.

study_data <- data.frame(
  id = c("P01", "P02", "P03"),
  age = c(25, 62, 84),
  sex = c("Female", "Male", "Female"),
  measure = c("mims", "ssl_steps", "AC"),
  value = c(15000, 7500, 1000000)
)

map_nhanes_pa_quantiles(study_data, id = "id")
#>    id age    sex   measure   value age_category_pa_map nhanes_quantile
#> 1 P01  25 Female      mims   15000             [20,30)       0.5349443
#> 2 P02  62   Male ssl_steps    7500             [60,70)       0.3527381
#> 3 P03  84 Female        AC 1000000             [80,85)       0.1322205

The returned age_category_pa_map column shows the NHANES age category used to select each participant’s CDF. The following example covers all nine supported summaries:

all_measures <- data.frame(
  id = rep("P01", 9),
  age = 25,
  sex = "Female",
  measure = c("total_activity_counts", "total_log10AC", "total_PAXMTSM",
              "total_log10PAXMTSM", "total_scsslsteps", "total_scrfsteps",
              "total_oaksteps", "total_vssteps", "total_vsrevsteps"),
  value = c(2773035, 3039, 14653, 1043, 8694, 11421, 12055, 9505, 9631)
)

map_nhanes_pa_quantiles(all_measures, id = "id")
#>    id age    sex               measure   value age_category_pa_map
#> 1 P01  25 Female total_activity_counts 2773035             [20,30)
#> 2 P01  25 Female         total_log10AC    3039             [20,30)
#> 3 P01  25 Female         total_PAXMTSM   14653             [20,30)
#> 4 P01  25 Female    total_log10PAXMTSM    1043             [20,30)
#> 5 P01  25 Female      total_scsslsteps    8694             [20,30)
#> 6 P01  25 Female       total_scrfsteps   11421             [20,30)
#> 7 P01  25 Female        total_oaksteps   12055             [20,30)
#> 8 P01  25 Female         total_vssteps    9505             [20,30)
#> 9 P01  25 Female      total_vsrevsteps    9631             [20,30)
#>   nhanes_quantile
#> 1       0.4852706
#> 2       0.5714842
#> 3       0.4873396
#> 4       0.5564848
#> 5       0.5872852
#> 6       0.4938108
#> 7       0.4892558
#> 8       0.5019565
#> 9       0.5158600

The complete list of accepted names and the summary used for each CDF is available from nhanes_pa_measure_map(). Other names return NA with a warning listing the unmapped measures. Each value should be calculated using the summary named in the map and supplied on that summary’s scale.

nhanes_pa_measure_map()
#>                    measure      summary
#> 1                       AC           AC
#> 2          activity_counts           AC
#> 3           activitycounts           AC
#> 4                   counts           AC
#> 5                 total_AC           AC
#> 6    total_activity_counts           AC
#> 7                  log10AC      log10AC
#> 8    log10_activity_counts      log10AC
#> 9             log10_counts      log10AC
#> 10           total_log10AC      log10AC
#> 11                 PAXMTSM      PAXMTSM
#> 12                    mims      PAXMTSM
#> 13               mims_unit      PAXMTSM
#> 14           total_PAXMTSM      PAXMTSM
#> 15            log10PAXMTSM log10PAXMTSM
#> 16              log10_mims log10PAXMTSM
#> 17      total_log10PAXMTSM log10PAXMTSM
#> 18         log10_mims_unit log10PAXMTSM
#> 19              scsslsteps   scsslsteps
#> 20               ssl_steps   scsslsteps
#> 21            sslstepcount   scsslsteps
#> 22           sslstepcounts   scsslsteps
#> 23         total_ssl_steps   scsslsteps
#> 24        total_scsslsteps   scsslsteps
#> 25     steps_stepcount_ssl   scsslsteps
#> 26    steps_stepcounts_ssl   scsslsteps
#> 27               scrfsteps    scrfsteps
#> 28                rf_steps    scrfsteps
#> 29             rfstepcount    scrfsteps
#> 30            rfstepcounts    scrfsteps
#> 31          total_rf_steps    scrfsteps
#> 32         total_scrfsteps    scrfsteps
#> 33      steps_stepcount_rf    scrfsteps
#> 34     steps_stepcounts_rf    scrfsteps
#> 35                oaksteps     oaksteps
#> 36             foreststeps     oaksteps
#> 37               steps_oak     oaksteps
#> 38            steps_forest     oaksteps
#> 39              nsteps_oak     oaksteps
#> 40           nsteps_forest     oaksteps
#> 41          total_oaksteps     oaksteps
#> 42  steps_stepcount_forest     oaksteps
#> 43 steps_stepcounts_forest     oaksteps
#> 44                 vssteps      vssteps
#> 45        vssteps_original      vssteps
#> 46       steps_vs_original      vssteps
#> 47           total_vssteps      vssteps
#> 48              vsrevsteps   vsrevsteps
#> 49         vssteps_revised   vsrevsteps
#> 50        steps_vs_revised   vsrevsteps
#> 51        total_vsrevsteps   vsrevsteps

The measure column accepts common aliases, including total_ac and total_activity_counts for the AC CDF:

measures <- data.frame(
  id = rep("P01", 4),
  age = 25,
  sex = "Female",
  measure = c("mims", "PAXMTSM", "total_ac", "total_activity_counts"),
  value = c(15000, 15000, 2773035, 2773035)
)

map_nhanes_pa_quantiles(measures, id = "id")
#>    id age    sex               measure   value age_category_pa_map
#> 1 P01  25 Female                  mims   15000             [20,30)
#> 2 P01  25 Female               PAXMTSM   15000             [20,30)
#> 3 P01  25 Female              total_ac 2773035             [20,30)
#> 4 P01  25 Female total_activity_counts 2773035             [20,30)
#>   nhanes_quantile
#> 1       0.5349443
#> 2       0.5349443
#> 3       0.4852706
#> 4       0.4852706

nhanes_pa_measure_cdf("total_activity_counts", age = 25, sex = "Female")(2773035)
#> [1] 0.4852706

Combined and Wave-Specific References

By default, quantiles are evaluated against CDFs estimated from the combined 2011-2012 and 2013-2014 NHANES waves.

map_nhanes_pa_quantiles(study_data, id = "id")
#>    id age    sex   measure   value age_category_pa_map nhanes_quantile
#> 1 P01  25 Female      mims   15000             [20,30)       0.5349443
#> 2 P02  62   Male ssl_steps    7500             [60,70)       0.3527381
#> 3 P03  84 Female        AC 1000000             [80,85)       0.1322205

To map against a specific NHANES wave, provide wave. Supported values include the NHANES data release cycles 7 and 8, and the year labels "2011-2012" and "2013-2014".

map_nhanes_pa_quantiles(study_data, id = "id", wave = "2013-2014")
#>    id age    sex   measure   value age_category_pa_map nhanes_quantile
#> 1 P01  25 Female      mims   15000             [20,30)       0.4943653
#> 2 P02  62   Male ssl_steps    7500             [60,70)       0.3820584
#> 3 P03  84 Female        AC 1000000             [80,85)       0.1181001

Overall Age or Sex Strata

If a study should be mapped without sex or gender stratification, set sex = NULL. The participant’s age category is still used, but the CDF is selected from the gender == "Overall" stratum.

map_nhanes_pa_quantiles(study_data, id = "id", sex = NULL)
#>    id age    sex   measure   value age_category_pa_map nhanes_quantile
#> 1 P01  25 Female      mims   15000             [20,30)       0.5688587
#> 2 P02  62   Male ssl_steps    7500             [60,70)       0.4164160
#> 3 P03  84 Female        AC 1000000             [80,85)       0.1408881

If a study should be mapped without age stratification, set age = NULL. The participant’s sex or gender is still used, but the CDF is selected from the cat_age == "Overall" stratum.

map_nhanes_pa_quantiles(study_data, id = "id", age = NULL)
#>    id age    sex   measure   value age_category_pa_map nhanes_quantile
#> 1 P01  25 Female      mims   15000             Overall      0.53548286
#> 2 P02  62   Male ssl_steps    7500             Overall      0.28321363
#> 3 P03  84 Female        AC 1000000             Overall      0.01040967

Both options can be combined with a wave-specific reference:

map_nhanes_pa_quantiles(study_data, id = "id", sex = NULL, wave = 7)
#>    id age    sex   measure   value age_category_pa_map nhanes_quantile
#> 1 P01  25 Female      mims   15000             [20,30)       0.6017452
#> 2 P02  62   Male ssl_steps    7500             [60,70)       0.3716006
#> 3 P03  84 Female        AC 1000000             [80,85)       0.1669768

The package data do not contain a stratum that is overall for both age and sex or gender. Calls that omit both age and sex therefore produce an error.

Single Values

For a single participant-measure value, use nhanes_pa_quantile().

nhanes_pa_quantile(
  value = 15000,
  age = 25,
  sex = "Female",
  measure = "mims"
)
#> [1] 0.5349443

The same combined, wave-specific, and overall-stratum options are available:

nhanes_pa_quantile(
  value = 15000,
  age = 25,
  sex = NULL,
  measure = "mims",
  wave = "2011-2012"
)
#> [1] 0.6017452

Age Categories

Ages are mapped into NHANES CDF age categories:

suppressWarnings(nhanes_pa_age_category(c(8, 25, 84, 90)))
#> [1] "[0,10)"  "[20,30)" "[80,85)" "[80,85)"

Ages greater than 85 are mapped to the oldest available category, "[80,85)", and produce a warning when age is supplied directly. If a study already has age categories, pass the column name through age_category.

References

Koffman, Lily, Ciprian Crainiceanu, and John Muschelli. 2025. “Comparing Step Counting Algorithms for High-Resolution Wrist Accelerometry Data in NHANES 2011-2014.” Medicine & Science in Sports & Exercise 57 (4): 746–55. https://doi.org/10.1249/MSS.0000000000003616.
Koffman, Lily, and John Muschelli. 2025. “Minute Level Step Counts and Physical Activity Data from the National Health and Nutrition Examination Survey (NHANES) 2011-2014.” PhysioNet, ahead of print, May. https://doi.org/10.13026/9n0r-tv02.