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Methods of Analysis of Linear Models with Unbalanced Data
Abstract
The objective of this article is to review existing methods for analyzing experimental design models with unbalanced data and to relate them to existing computer programs. The methods are distinguished by the hypotheses associated with the sums of squares which are generated. The choice of a method should be based on the appropriateness of the hypothesis rather than on computational convenience or the orthogonality of the quadratic forms. The sums of squares are described using the R ( ) notation as applied to the over-parameterized linear model, but the hypotheses are stated in terms of the full-rank cell means model. The zero-cell frequency situation is treated briefly.
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Citations
Cited by
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Kuznetsova, A., Brockhoff, P. B., & Christensen, R. H. B. (2017) · Journal of Statistical Software · doi:10.18637/jss.v082.i13 · Cited by 24,346
“We do not touch this topic here and refer to Venables (2000); Speed, Hocking, and Hackney (1978); Senn (2007); Langsrud (2003); Macnaughton (2009) for the discussions.”
BackgroundDimensions and types of social status: A cross-age perspective.
Coie, J. D., Dodge, K. A., & Coppotelli, H. (1982) · Developmental Psychology · doi:10.1037/0012-1649.18.4.557 · Cited by 2,452
Applied Linear Statistical Models
John, R. C. S. (1986) · Journal of Quality Technology · doi:10.1080/00224065.1986.11978989 · Cited by 1,307
ANOVA for unbalanced data: Use Type II instead of Type III sums of squares
Langsrud, Ø. (2003) · Statistics and Computing · doi:10.1023/a:1023260610025 · Cited by 469
Controversies concerning randomization and additivity in clinical trials.
Senn, S. (2004) · Statistics in Medicine · doi:10.1002/sim.2074 · Cited by 132
Metadata
- Authors
- Speed, F. M., Hocking, R. R., & Hackney, O. P.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1978-03
- Volume
- 73
- Issue
- 361
- Pages
- 105-112
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W1965842920
- Cited by
- 168
- References
- 0
- FWCI
- 17.55
- Type
- journal article
- Language
- en
- Open access
- closed
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