The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A Reformulation of Linear Models
Open accessAbstract
Dissatisfaction is expressed with aspects of the current exposition of linear models, including the neglect of marginality, unnecessary differences between models for finite and infinite populations, failure to distinguish different kinds of random terms, impositon of unnecessary and inconsistent constraints on parameters, and lack of an adequate notation for negative components of variance.The reformulation, exemplified for crossed and nested classifications of balanced data, and for simple orthogonal designed experiments, is designed to integrate finite and infinite populations, random and fixed effects, excess and deficit of variance, to avoid unnecessary constraints on parameters, and to lead naturally to interesting hypotheses about the model terms.
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Citations
Cites
Average Values of Mean Squares in Factorials
Cornfield, J., & Tukey, J. W. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728067 · Cited by 292
Cited by
Efron, B., Hastie, T., Johnstone, I., & Tibshirani, R. (2004) · The Annals of Statistics · doi:10.1214/009053604000000067 · Cited by 9,357
McCullagh, P. (2002) · The Annals of Statistics · doi:10.1214/aos/1035844977 · Cited by 248
Controversies concerning randomization and additivity in clinical trials.
Senn, S. (2004) · Statistics in Medicine · doi:10.1002/sim.2074 · Cited by 132
Shell, M. D., Gazelle, H., & Faldowski, R. A. (2014) · Developmental Psychology · doi:10.1037/a0035528 · Cited by 99
Analysis of variance—why it is more important than ever
Gelman, A. (2005) · The Annals of Statistics · doi:10.1214/009053604000001048 · Cited by 861
Metadata
- Authors
- Nelder, J. A.
- Venue
- Journal of the Royal Statistical Society. Series A (General)
- Publisher
- JSTOR
- Published
- 1977
- Volume
- 140
- Issue
- 1
- Pages
- 48
- ISSN
- 0035-9238 (ISSN-L)
- OpenAlex
- W2339398872
- Cited by
- 338
- References
- 1
- FWCI
- 3.87
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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