CoChat
Sign Up
Cited by 945Statistical Methods and Bayesian InferenceOptimal Experimental Design MethodsStatistical Methods and Applications

The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.

Conditions under Which Mean Square Ratios in Repeated Measurements Designs Have Exact F-Distributions

Huynh, Huynh, Feldt, Leonard S.·1970·Journal of the American Statistical Association
DOI 10.2307/2284340
Open this paper in CoChat — free account

Abstract

Investigation is made of the character of the covariance matrix which will result in exact F-distributions for the treatments and interaction variance ratios in repeated measurements designs. It is shown, assuming multivariate normality, that the matrix may exhibit a more general character than is typically implied to be essential. Equality of variances and equality of covariances, with identical matrices for all levels of a second treatment factor, are sufficient but not necessary conditions. The necessary and sufficient condition is the equality of variances of differences for all pairs of treatment measures assumed to be correlated. An alternative statement is that the Box-Geisser-Greenhouse parameter ε = 1.0. A test is described which bears on the tenability of this condition.

Overview

Integrity signals

Registry

Crossref · 10.1080/01621459.1970.10481187

Cites

18 of 18 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

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?

Citations

Cites

Flagged first, then by citations

Show all 18 references

Research works printed but not linked: 1

  1. Baldessari B., 1965, Publications de l'Institut de Statistique de l'Université Paris, 14, 379

Cited by

Sorted by citations

See all 945

Related

Metadata

Authors
Huynh, H., & Feldt, L. S.
Affiliations
University of Iowa (US)
Venue
Journal of the American Statistical Association
Publisher
Informa UK Limited
Published
1970-12
Volume
65
Issue
332
Pages
1582-1589
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
DOI
10.2307/2284340
OpenAlex
W1976429900
Cited by
945
References
18
Citations by year
2026: 4 · 2025: 5 · 2024: 5 · 2023: 9 · 2022: 9 · 2021: 13 · 2020: 16 · 2019: 17 · 2018: 17 · 2017: 18 · 2016: 25 · 2015: 19 · 2014: 29 · 2013: 24 · 2012: 28
FWCI
1.48
Type
journal article
Language
en
Open access
closed
Locations
Journal of the American Statistical Association (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Optimal Experimental Design Methods
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
Keywords
repeated measures designs, covariance matrix, multivariate normality, equality of variances, variance ratio

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