Continuous Norming
Overview
Generates continuous test norms in psychometrics and biometrics, and analyzes model fit. The package offers distribution-free modeling using Taylor polynomials, as well as parametric modeling using the beta-binomial distribution (for bounded accuracy tests), the Conway-Maxwell-Poisson distribution (for speeded tests and count data with over-, equi-, or under-dispersion), and the 'Sinh-Arcsinh' (SHASH) distribution. Originally developed for psychological and educational assessment, it is applicable to a wide range of mental, physical, or other test scores dependent on continuous or discrete explanatory variables. The package minimizes deviations from representativeness in subsamples, interpolates between discrete levels of explanatory variables, and significantly reduces the required sample size compared to conventional norming per age group. cNORM enables graphical and analytical evaluation of model fit, accommodates a wide range of scales including those with negative and descending values, and supports conventional norming. It generates norm tables including confidence intervals and provides methods for addressing representativeness issues through Iterative Proportional Fitting. Based on Lenhard et al. (2016) doi:10.1177/1073191116656437, Lenhard et al. (2019) doi:10.1371/journal.pone.0222279, Lenhard and Lenhard (2021) doi:10.1177/0013164420928457, and Gary et al. (2023) doi:10.1007/s00181-023-02456-0.
Date: 03.10.2026 - release
New distributional family for modelling speeded tests and count data with the
Conway-Maxwell Poisson Counts Model (CMPCM), which allows for adjusting
dispersion.
New features
- Modelling speeded tests with the Conway-Maxwell Poisson Counts Model (CMPCM)
- Vignette for CMP modelling
- New dataset 'speed' with word reading fluency per age (synthetic data based on ELFE2)
- Extended test coverage for CMP
Changes
- Checks on number of groups in Taylor modelling added. Now actively advises on 't' parameter reduction.
Show all changes in 3.7.0Hide the rest of the changes in 3.7.0
- Added section on model selection strategies to vignettes
From NEWS.md in the release
Install
Health
- OK13 OK2026-08-05
- NOTE12 OK, 1 NOTE2026-08-01
- OK13 OK2026-06-09
- ERROR12 OK, 1 ERROR2026-06-08
- OK14 OK2026-03-10
Documentation
- Help pages
- 109 (23 internal)
- Examples that run
- 6%3 run in a plain check · 47 never run
- Exported functions with examples
- 63%
- Documented parameters
- 96%
- Return-value docs
- 88%
- Help pages citing references
- 17%
- Demonstration for Creating Continuous Norms with cNORM HTML
- Modelling Norms for Speeded Tests and Count Data with the Conway-Maxwell-Poisson (CMP) Distribution HTML
- Modelling Norms with the Beta-Binomial Distribution
- Modelling Norms with the Sinh-Arcsinh (shash) Distribution
- Weighted Regression-Based Norming HTML
Downloads
Repository
- PRs merged (all time)
- 100%
- Median days to close, 50 most recently updated closed issues
- 2
- Median days to close, 50 most recently updated closed PRs
- 0
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9 development-tooling and community-health practices detected across 5 families in the upstream repository
Checks run against github.com/wlenhard/cnorm on 2026-10-18.
The R CMD check workflow runs on Linux, macOS and Windows, and on R-devel
GitHub Pages site last deployed 2026-10-07
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Dependencies
Code & Tests
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Pick two releases to compare their code metrics.
- 3.7.0Latest2026-10-03 · current release · diff ↗ ·
added 8 exports
autoselect.cmp, cnorm.cmp, dcmp, diagnostics.cmp, normTable.cmp, qcmp, rcmp, pcmp - 3.6.2
- 3.6.1
- 3.6.0
- 3.5.42026-05-15 · diff ↗
- RR 4.6.0 released · 2026-04-24
- 3.5.32026-02-26 · diff ↗
- 3.5.2
- 3.5.12025-10-14 · diff ↗ ·
removed 6 exports
plot.cnormBetaBinomial, plot.cnormShaSh, predict.cnormBetaBinomial, predict.cnormShaSh, summary.cnormBetaBinomial, summary.cnormShaShadded 4 exports
dshash, pshash, qshash, rshash - 3.5.02025-09-27 · diff ↗ ·
added 6 exports
cnorm.shash, diagnostics.shash, normTable.shash, plot.cnormShaSh, predict.cnormShaSh, summary.cnormShaSh - 3.4.12025-05-11 · diff ↗
- RR 4.5.0 released · 2025-04-11
- 3.4.0
- 3.3.12024-10-16 · diff ↗
- 3.3.0
- 3.2.02024-08-18 · diff ↗ ·
removed 5 exports
betaTable, betaByGroup, betaContinuous, betaNormTable, predictBetaadded 8 exports
buildCnormObject, cnorm.betabinomial, diagnostics.betabinomial, normTable.betabinomial, plot.cnormBetaBinomial, predict.cnormBetaBinomial, standardize, summary.cnormBetaBinomial
Show 27 earlier eventsHide 27 earlier events
- 3.1.02024-07-19 · diff ↗ ·
added 6 exports
betaCoefficients, betaTable, betaByGroup, betaContinuous, betaNormTable, predictBeta - RR 4.4.0 released · 2024-04-24
- 3.0.42023-10-08 · diff ↗
- 3.0.32023-05-22 · diff ↗
- RR 4.3.0 released · 2023-04-21
- 3.0.22022-06-12 · diff ↗
- RR 4.2.0 released · 2022-04-22
- 3.0.12022-04-11 · diff ↗
- 3.0.02022-03-28 · diff ↗ ·
added 4 exports
weighted.quantile.inflation, weighted.quantile.harrell.davis, weighted.quantile.type7, computeWeights - 2.1.02021-08-12 · diff ↗
- 2.0.42021-07-24 · diff ↗
- RR 4.1.0 released · 2021-05-18
- 2.0.32021-04-10 · diff ↗
- 2.0.2
- 2.0.1
- 2.0.02020-12-04 · diff ↗ ·
removed 4 exports
boxcox, plotBoxCox, predictNormBC, predictRawBCadded 4 exports
cnorm, plotCnorm, modelSummary, getNormScoreSE - 1.2.42020-11-16 · diff ↗
- 1.2.32020-06-18 · diff ↗
- RR 4.0.0 released · 2020-04-24
- 1.2.22019-09-19 · diff ↗
- 1.2.02019-07-26 · diff ↗
- RR 3.6.0 released · 2019-04-26
- 1.1.82019-03-15 · diff ↗
- 1.1.52019-02-06 · diff ↗
- 1.1.2
- 1.0.12018-11-14
- RR 3.5.0 released · 2018-04-23
Package metadata
- First published
- 2018-11-14
- Total releases
- 34 / 8 yrs
- License
- AGPL-3 OSI
- Minimum R
- ≥ 4.0.0
- Bundled data
- 350 KB / 4 files
- Download size
- 1.6 MB
Cite
Cite this package
Run in R for the authors' entry:
citation("cNORM")The package provides a citation file, so citation() returns the authors' own entry.
It points to 10.1177/1073191116656437, 10.1371/journal.pone.0222279, 10.1177/0013164420928457, 10.1177/10731911231153832, 10.3758/s13428-023-02207-0.
Cite the R Observatory
For a number measured here: a download total, a coverage figure, an archival date.
From data release v2026-10-22, which the citation names so these numbers can be found later. More on citing and the projects behind them.