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Explicit Influence ...
Explicit Influence Analysis in Two-Treatment Balanced Crossover Models
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- Hao, Chengcheng, 1986- (författare)
- Stockholms universitet,Statistiska institutionen,Dept. Statist., Stockholm Univ., Stockholm, Sweden; Dept. Automation, Shanghai Jiao Tong Univ., Shanghai, China
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- Von Rosen, Dietrich (författare)
- Linköpings universitet,Swedish University of Agricultural Sciences,Sveriges lantbruksuniversitet,Institutionen för energi och teknik,Department of Energy and Technology,Linköping University,Matematisk statistik,Tekniska fakulteten,Dept. Energy and Technol., Swedish Univ. Agricultural Sci., Uppsala, Sweden
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- von Rosen, Tatjana (författare)
- Stockholms universitet,Statistiska institutionen,Dept. Statist.Stockholm Univ., Stockholm, Sweden
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(creator_code:org_t)
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- New York, NY, United States : Allerton Press, Inc. 2015
- 2015
- Engelska.
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Ingår i: Mathematical Methods of Statistics. - New York, NY, United States : Allerton Press, Inc.. - 1066-5307 .- 1934-8045. ; 24:1, s. 16-36
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.3...
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Abstract
Ämnesord
Stäng
- This paper considers how to detect influential observations in crossover models with random individual effects. Two influence measures, the delta-beta influence and variance-ratio influence, are utilized as tools to evaluate the influence of the model on the estimates of mean and variance parameters with respect to case-weighted perturbations, which are introduced to the model for studying the ‘influence’ of cases. The paper provides explicit expressions of the delta-beta and variance-ratio influences for the general two-treatment balanced crossover models when the proposed decompositions for the perturbed models hold. The influence measures for each parameter turn out to be closed-form functions of orthogonal projections of specific residuals in the unperturbed model.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- delta-beta influence
- explicit maximum likelihood estimate
- mixed linear model
- multiple-period crossover design
- perturbation scheme.
- Statistics
- statistik
- Mathematical Statistics
- matematisk statistik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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