The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Analysis of Unbalanced Data by Mixed Linear Models Using the mixed Procedure of the SAS System
Abstract
Unbalanced data are a common problem in plant research based on designed experiments. Such data are often conveniently analysed using linear mixed models. Recent developments in mixed model theory have been implemented in major packages. This paper describes the use of the mixed procedure of the SAS System for the analysis of designed experiments. Special emphasis is given to the specification of options as depending on the assumed mixed model and on the unbalancedness in the data. In addition, we consider a compact representation of multiple comparisons for unbalanced data (letter display). Two small data sets are used to exemplify the methods.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cites
Small sample inference for fixed effects from restricted maximum likelihood
Kenward, M. G., & Roger, J. H. (1997) · Biometrics · doi:10.2307/2533558 · Cited by 4,552
An Approximate Distribution of Estimates of Variance Components
Satterthwaite, F. E. (1946) · Biometrics Bulletin · doi:10.2307/3002019 · Cited by 4,373
Searle, S. R., Casella, G., & McCulloch, C. E. (1992) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316856 · Cited by 1,926
Flagged first, then by citations
Research works printed but not linked: 14
- Ahrens H., 1967, Die Varianzanalyse, 10.1515/9783112595565 · DOI
- Cochran W., 1957, Experimental Designs
- Dörfel H., 1980, Mittelwertvergleiche in mehrfaktoriellen Versuchen bei signifikanten Wechselwirkungen, Archiv f. Acker- und Pflanzenbau, 24, 323
- 10.1080/00949659608811740 · DOI
- 10.2307/2530872 · DOI
- 10.1080/0003942031000136611 · DOI
- Hu X. 2002:Simulationsuntersuchungen zur Hypothesenprüfung über feste Effekte in gemischten linearen Modellen bei kleinen und unbalancierten Stichproben.Dissertation Martin‐Luther‐Universität Halle‐Wittenberg Germany.
- 10.2307/2685241 · DOI
- 10.1198/1061860043515 · DOI
- Piepho H. P., 1999, Anmerkungen zur Analyse balancierten gemischter Modelle mit der SAS‐Prozedur MIXED, Zeitschrift für Agrarinformatik, 7, 39
- Samuels M. L., 1991, Interpreting blocks as random factors (with discussion), J. Am. Stat. Assoc., 86, 798, 10.1080/01621459.1991.10475112 · DOI
- 10.1007/BF02288586 · DOI
- Spilke J., 2001, Simulationsuntersuchungen zum Einfluss verschiedener Strategien der Varianzkomponentenschätzung und Hypothesenprüfung auf die statistischen Risiken in gemischten linearen Modellen mit ungleicher Klassenbesetzung, Zeitschrift für Agrarinformatik, 10, 66
- 10.1046/j.1439-0523.2003.00964.x · DOI
Cited by
Sorted by citations
Buçinca, Z., Malaya, M. B., & Gajos, K. Z. (2021) · arXiv · doi:10.48550/arxiv.2102.09692 · Cited by 1,124
“Mixed-effects models also properly handle the imbalance in our data [57], due to participants being randomly assigned to conditions and not all participants having”
Method
Metadata
- Authors
- Spilke, J., Piepho, H. P., & Hu, X.
- Affiliations
- University of Hohenheim (DE)
- Corresponding author
- Spilke, J.
- Piepho, H. P.
- Hu, X.
- ORCID
- Venue
- Journal of Agronomy and Crop Science
- Publisher
- Wiley
- Published
- 2005-02
- Volume
- 191
- Issue
- 1
- Pages
- 47-54
- ISSN
- 0931-2250 (ISSN-L)
- 1439-037X
- OpenAlex
- W2105697681
- Cited by
- 116
- References
- 3
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 8 · 2023: 3 · 2022: 7 · 2021: 8 · 2020: 7 · 2019: 3 · 2018: 3 · 2017: 2 · 2016: 6 · 2015: 8 · 2014: 4 · 2013: 9 · 2012: 6
- FWCI
- 6.23
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Agronomy and Crop Science (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Computer Science › Software › SAS software applications and methods
- Social Sciences › Decision Sciences › Management Science and Operations Research › Optimal Experimental Design Methods
- Keywords
- class imbalance, linear mixed models, designed experiments, multiple comparisons
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
