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Minimizing Sample Size When Using Exploratory Factor Analysis for Measurement
Abstract
Traditional protocol for the determination of an adequate sample size is power analysis. Such a protocol is not useful when the primary hypothesis focuses on psychometric measurement properties. Traditional psychometrics advises that there should be 10 respondents per item. Both hypothetical and real research examples illustrate the usefulness of subsample analysis in determining that a sample size of at least 50 and not more than 100 subjects is adequate to represent and evaluate the psychometric properties of measures of social constructs. The "10 respondents per item" advice builds a sample size disincentive into the research design; it also represents "sample size overkill." Sample-size overkill occurs when the research design specifies a number of cases needed, which is in excess of the number actually needed for a desired inference.
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“Sapnas & Zeller (2002) demonstrate that sample sizes between 50 and 100 can be adequate when items are highly inter-related.”
From The Brief Serenity Scale (2009) · cites this paper as Sapnas & Zeller (2002)
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Metadata
- Authors
- Sapnas, K. G., & Zeller, R. A.
- Affiliations
- University of Miami (US)
- Kent State University (US)
- Venue
- Journal of Nursing Measurement
- Publisher
- Springer Publishing Company
- Published
- 2002-09
- Volume
- 10
- Issue
- 2
- Pages
- 135-154
- ISSN
- 1061-3749 (ISSN-L)
- 1945-7049
- OpenAlex
- W2088701782
- Cited by
- 405
- References
- 20
- Citations by year
- 2026: 24 · 2025: 26 · 2024: 30 · 2023: 34 · 2022: 28 · 2021: 19 · 2020: 22 · 2019: 17 · 2018: 27 · 2017: 22 · 2016: 28 · 2015: 20 · 2014: 24 · 2013: 17 · 2012: 15
- FWCI
- 5.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Nursing Measurement (publishedVersion)
- PubMed (publishedVersion)
- Funders
- University of Miami
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Health Sciences › Nursing › Research and Theory › Health Education and Validation
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- sample size determination, exploratory factor analysis, psychometric assessment, power analysis, measurement properties
- MeSH terms
- Computer Simulation, Factor Analysis, Statistical, Humans, Monte Carlo Method, Psychometrics, Likelihood Functions, Sample Size
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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