An Approximate Distribution of Estimates of Variance Components
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A Welch's t-test for unequal variances was performed instead of a t-test for independent samples because homogeneity of variances could not be assumed.
“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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- 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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