A Simple Approximation for Unbiased Estimation of the Standard Deviation
Abstract
(1971). A Simple Approximation for Unbiased Estimation of the Standard Deviation. The American Statistician: Vol. 25, No. 4, pp. 30-32.
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CVs are biased downward by about 25% with a sample size of only two, but we did not apply this correction because the technical components of CVs are overestimated by biological sources of asymmetry.
“Like standard deviations, CVs are biased downward by about 25% with a sample size of only two93, but we did not apply this correction because the technical components of CVs are overestimated by biological sources of asymmetry.”
From Magnetic resonance microscopy maps widespread effects of Alzheimer’s disease on brain structures and behavior in mice (2026) · cites this paper as [93]
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- Authors
- Gurland, J., & Tripathi, R. C.
- Affiliations
- University of Wisconsin System (US)
- Venue
- The American Statistician
- Publisher
- Informa UK Limited
- Published
- 1971-10
- Volume
- 25
- Issue
- 4
- Pages
- 30-32
- ISSN
- 0003-1305 (ISSN-L)
- 1537-2731
- OpenAlex
- W2089905169
- Cited by
- 117
- References
- 13
- Citations by year
- 2026: 7 · 2025: 5 · 2024: 4 · 2023: 7 · 2022: 10 · 2021: 11 · 2020: 9 · 2019: 1 · 2018: 4 · 2017: 5 · 2016: 5 · 2015: 6 · 2014: 3 · 2013: 4 · 2012: 7
- FWCI
- 3.54
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The American Statistician (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Survey Sampling and Estimation Techniques
- Keywords
- standard deviation, unbiased estimation, bias correction, sample variance, approximate formulas
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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