A Continuous Solution to the Norming Problem
Abstract
Conventional methods for producing test norms are often plagued with “jumps” or “gaps” (i.e., discontinuities) in norm tables and low confidence for assessing extreme scores. We propose a new approach for producing continuous test norms to address these problems that also has the added advantage of not requiring assumptions about the distribution of the raw data: Norm values are established from raw data by modeling the latter ones as a function of both percentile scores and an explanatory variable (e.g., age). The proposed method appears to minimize bias arising from sampling and measurement error, while handling marked deviations from normality—such as are commonplace in clinical samples. In addition to step-by-step instructions in how to apply this method, we demonstrate its advantages over conventional discrete norming procedures using norming data from two different psychometric tests, employing either age norms ( N = 3,555) or grade norms ( N = 1,400).
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The prevalence of some psychiatric disorders and traits differs from the general population because of the UK Biobank's "healthy volunteer" bias.
“the prevalence of some psychiatric disorders and traits differs from the general population [36] because of the UK Biobank’s “healthy volunteer” bias [35].”
From High intelligence is not associated with a greater propensity for mental health disorders (2023) · cites this paper as [36]
The Problems of Data Collection section (p. 1) discusses the general difficulty of recruiting a representative standardization sample. Our copy does not address UK Biobank or compare the prevalence of psychiatric disorders and traits with the general population; searches for those terms and healthy-volunteer bias found no supporting passage. (LLM, conf=0.77)
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- Authors
- Lenhard, A., Lenhard, W., Suggate, S., & Segerer, R.
- Affiliations
- Psychometrica, Institute for Psychological Diagnostics, Dettelbach, Bavaria, Germany
- University of Würzburg (DE)
- University of Regensburg (DE)
- University of Basel (CH)
- Corresponding author
- Lenhard, Wolfgang
- Venue
- Assessment
- Publisher
- SAGE Publications
- Published
- 2016-07-02
- Volume
- 25
- Issue
- 1
- Pages
- 112-125
- ISSN
- 1073-1911 (ISSN-L)
- 1552-3489
- OpenAlex
- W2466518625
- Cited by
- 68
- References
- 25
- Citations by year
- 2026: 6 · 2025: 9 · 2024: 9 · 2023: 12 · 2022: 11 · 2021: 7 · 2020: 7 · 2019: 7
- FWCI
- 2.92
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Assessment (publishedVersion)
- PubMed (publishedVersion)
- University of Regensburg Publication Server (University of Regensburg) (acceptedVersion)
- Funders
- Hogrefe GmbH & Co KG, Göttingen, Germany
- Pearson Assessment GmbH, Frankfurt am Main, Germany
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Social Sciences › Psychology › Applied Psychology › Psychological Testing and Assessment
- Social Sciences › Education › Educational Assessment and Pedagogy
- Keywords
- test norming, percentile scores, age norms, sampling bias, measurement error, clinical samples
- MeSH terms
- Adolescent, Adult, Age Factors, Child, Child, Preschool, Female, Humans, Male, Terminology as Topic, Psychometrics, Reference Values, Regression Analysis, Reproducibility of Results, Age Distribution, Statistics, Nonparametric, Young Adult
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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