The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Approximate F-tests of multiple degree of freedom hypotheses in generalized least squares analyses of unbalanced split-plot experiments
Abstract
Approximate t-tests of single degree of freedom hypotheses in generalized least squares analyses (GLS) of mixed linear models using restricted maximum likelihood (REML) estimates of variance components have been previously developed by Giesbrecht and Burns (GB), and by Jeske and Harville (JH), using method of moment approximations for the degrees of freedom (df) for the tstatistics. This paper proposes approximate Fstatistics for tests of multiple df hypotheses using one-moment and two-moment approximations which may be viewed as extensions of the GB and JH methods. The paper focuses specifically on tests of hypotheses concerning the main-plot treatment factor in split-plot experiments with missing data. Simulation results indicate usually satisfactory control of Type I error rates.
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Citations
Cites
An Approximate Distribution of Estimates of Variance Components
Satterthwaite, F. E. (1946) · Biometrics Bulletin · doi:10.2307/3002019 · Cited by 4,373
Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667
Cited by
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
“Fai and Cornelius (1996) proposed a method for approximating the distributions of F .”
MethodInfluentialPustejovsky, J. E., & Tipton, E. (2018) · Journal of Business & Economic Statistics · doi:10.1080/07350015.2016.1247004 · Cited by 492
Tipton, E., & Pustejovsky, J. E. (2015) · Journal of Educational and Behavioral Statistics · doi:10.3102/1076998615606099 · Cited by 362
Small-Sample Adjustments for Wald-Type Tests Using Sandwich Estimators
Fay, M. P., & Graubard, B. I. (2001) · Biometrics · doi:10.1111/j.0006-341x.2001.01198.x · Cited by 306
Li, P., & Redden, D. T. (2015) · BMC Medical Research Methodology · doi:10.1186/s12874-015-0026-x · Cited by 142
Metadata
- Authors
- Hrong-Tai Fai, A., & Cornelius, P. L.
- Venue
- Journal of Statistical Computation and Simulation
- Publisher
- Informa UK Limited
- Published
- 1996-06
- Volume
- 54
- Issue
- 4
- Pages
- 363-378
- ISSN
- 0094-9655 (ISSN-L)
- 1563-5163
- OpenAlex
- W1985697998
- Cited by
- 260
- References
- 2
- FWCI
- 0.79
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hrong-Tai Fai, A., & Cornelius, P. L. (1996). Approximate F-tests of multiple degree of freedom hypotheses in generalized least squares analyses of unbalanced split-plot experiments. Journal of Statistical Computation and Simulation. https://doi.org/10.1080/00949659608811740
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
