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An Approximate Distribution of Estimates of Variance Components
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“Originally, the researcher planned to conduct a t-test for independent samples, but when Levene's test returned non-tenable results (p = .000)in all tested hypothesis topics indicating that homogeneity of variances could not be assumed, a Welch's t-test for unequal variances was performed instead.”
From Differences of Mean Scores on the Preliminary Scholastic Aptitude Test (PSAT) for Classical Christian Schools Compared to Non-Classical Christian Schools (2019) · cites this paper as Satterthwaite (1946)
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Satterthwaite, F. E. (1941) · Psychometrika · doi:10.1007/bf02288586 · Cited by 829
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Metadata
- Authors
- Satterthwaite, F. E.
- Corresponding author
- Satterthwaite, F. E.
- Venue
- Biometrics Bulletin
- Publisher
- JSTOR
- Published
- 1946-12
- Volume
- 2
- Issue
- 6
- Pages
- 110
- ISSN
- 0099-4987 (ISSN-L)
- OpenAlex
- W2413573154
- Cited by
- 4,373
- References
- 1
- Citations by year
- 2026: 175 · 2025: 155 · 2024: 166 · 2023: 170 · 2022: 167 · 2021: 193 · 2020: 205 · 2019: 203 · 2018: 190 · 2017: 145 · 2016: 152 · 2015: 139 · 2014: 161 · 2013: 110 · 2012: 116
- FWCI
- 9.83
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrics Bulletin (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- variance components, approximate distribution, random effects, mixed models
- MeSH terms
- Humans, Mathematics
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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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