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NormData (version 1.2)

Derivation of Regression-Based Normative Data

Description

Normative data are often used to estimate the relative position of a raw test score in the population. This package allows for deriving regression-based normative data. It includes functions that enable the fitting of regression models for the mean and residual (or variance) structures, test the model assumptions, derive the normative data in the form of normative tables or automatic scoring sheets, and estimate confidence intervals for the norms. This package accompanies the book Van der Elst, W. (2024). Regression-based normative data for psychological assessment. A hands-on approach using R. Springer Nature.

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Version

Install

install.packages('NormData')

Monthly Downloads

278

Version

1.2

License

GPL (>= 2)

Maintainer

Wim der Elst

Last Published

August 21st, 2026

Functions in NormData (1.2)

Sandwich

Sandwich estimators for standard errors
Stage.2.AutoScore

Make an automatic scoring sheet
Stage.2.NormScore

Convert a raw score to a percentile rank
GLT

Conduct the General Linear Test (GLT) procedure
ICC

Intra class correlation
Personality

Data of the Openness scale of a personality test
Levels

Explore data
Stage.1

Stage 1 of the regression-based normative analysis
Plot.Scatterplot.Matrix

Explore data
summary

Summary
plot CheckFit

Evaluate the fit of the mean structure of a fitted Stage 1 model.
plot ExploreData

Plot means and CIs for test scores.
plot ICC

Graphical depiction of the ICC.
plot Bootstrap.Stage.2.NormScore

Plot the bootstrap distribution and the percentile bootstrap CI
Substitution

Substitution test data
Stage.2.NormTable

Derive a normative table
PlotFittedPoly

Explore data
plot Stage.1

Check the model assumptions for a fitted Stage 1 model graphically.
Tukey.HSD

Conducts Tukey's Honest Significance Difference test
plot Tukey.HSD

Plot the results of Tukey's Honest Significance Difference test.
plot Stage.2.NormScore

Plot the results for a Stage.2.NormScore object.
TMAS

TMAS data
WriteNormTable

Write a normative table from R to a .txt/.csv/.xlsx file
VLT

Verbal Learning Test data
STAS

State-Trait Anger Scale (STAS)
Coding

Check the coding of a variable
Densities

Plot densities
Fract.Poly

Fit fractional polynomials
Check.Assum

Check assumptions for a fitted Stage 1 model
ExploreData

Explore data
Bootstrap.Stage.2.NormScore

Bootstraps a confidence interval for a percentile rank
GCSE

GCSE exam score
Fluency

Verbal fluency data
Bootstrap.Stage.2.NormTable

Bootstraps confidence intervals for a normative table
CheckFit

Check the fit of the mean structure of a regression model