The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An Approximate Distribution of Estimates of Variance Components
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“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)
Citations
Cites
Satterthwaite, F. E. (1941) · Psychometrika · doi:10.1007/bf02288586 · Cited by 829
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Fitting Linear Mixed-Effects Models Using lme4
Bates, D., Mächler, M., Bolker, B., & Walker, S. (2015) · Journal of Statistical Software · doi:10.18637/jss.v067.i01 · Cited by 86,835
Statistical principles in experimental design.
Winer, B. J. (1962) · McGraw-Hill Book Company · doi:10.1037/11774-000 · Cited by 27,137
lmerTest Package: Tests in Linear Mixed Effects Models
Kuznetsova, A., Brockhoff, P. B., & Christensen, R. H. B. (2017) · Journal of Statistical Software · doi:10.18637/jss.v082.i13 · Cited by 24,346
Intraclass correlations: Uses in assessing rater reliability.
Shrout, P. E., & Fleiss, J. L. (1979) · Psychological Bulletin · doi:10.1037/0033-2909.86.2.420 · Cited by 24,532
Inference from iterative simulation using multiple sequences
Gelman, A., & Rubin, D. B. (1992) · Statistical Science · doi:10.1214/ss/1177011136 · Cited by 16,627
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
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 ›
Are you an author, or do you see a problem with this page? Request a review
