A parametric model for the interval censored survival times of Acacia Mangium plantation in a spacing trial
A parametric model for the interval censored survival times of Acacia Mangium plantation in a spacing trial
Survival times for the Acacia mangium plantation in the Segaliud Lokan Project, Sabah, East Malaysia were analysed based on 20 permanent sample plots (PSPs) established in 1988 as a spacing experiment. The PSPs were established following a complete randomized block design with five levels of spacing randomly assigned to units within four blocks at different sites. The survival times of trees in years are of interest. Since the inventories were only conducted annually, the actual survival time for each tree was not observed. Hence, the data set comprises censored survival times. Initial analysis of the survival of the Acacia mangium plantation suggested there is block by spacing interaction; a Weibull model gives a reasonable fit to the replicate survival times within each PSP; but a standard Weibull regression model is inappropriate because the shape parameter differs between PSPs. In this paper we investigate the form of the non-constant Weibull shape parameter. Parsimonious models for the Weibull survival times have been derived using maximum likelihood methods. The factor selection for the parameters is based on a backward elimination procedure. The models are compared using likelihood ratio statistics. The results suggest that both Weibull parameters depend on spacing and block
survival times, interval censored, weibull distribution, maximum likelihood, backward elimination
1067-1064
Abd Kudus, Kamizah
6a9be2ea-c369-4c8d-b675-b7998316665f
Kimber, A.C.
40ba3a19-bbe3-47b6-9a8d-68ebf4cea774
Lapongan, J.
f328f5ec-98d3-4261-ad8b-ff14080ff855
December 2006
Abd Kudus, Kamizah
6a9be2ea-c369-4c8d-b675-b7998316665f
Kimber, A.C.
40ba3a19-bbe3-47b6-9a8d-68ebf4cea774
Lapongan, J.
f328f5ec-98d3-4261-ad8b-ff14080ff855
Abd Kudus, Kamizah, Kimber, A.C. and Lapongan, J.
(2006)
A parametric model for the interval censored survival times of Acacia Mangium plantation in a spacing trial.
Journal of Applied Statistics, 33 (10), .
(doi:10.1080/02664760600746616).
Abstract
Survival times for the Acacia mangium plantation in the Segaliud Lokan Project, Sabah, East Malaysia were analysed based on 20 permanent sample plots (PSPs) established in 1988 as a spacing experiment. The PSPs were established following a complete randomized block design with five levels of spacing randomly assigned to units within four blocks at different sites. The survival times of trees in years are of interest. Since the inventories were only conducted annually, the actual survival time for each tree was not observed. Hence, the data set comprises censored survival times. Initial analysis of the survival of the Acacia mangium plantation suggested there is block by spacing interaction; a Weibull model gives a reasonable fit to the replicate survival times within each PSP; but a standard Weibull regression model is inappropriate because the shape parameter differs between PSPs. In this paper we investigate the form of the non-constant Weibull shape parameter. Parsimonious models for the Weibull survival times have been derived using maximum likelihood methods. The factor selection for the parameters is based on a backward elimination procedure. The models are compared using likelihood ratio statistics. The results suggest that both Weibull parameters depend on spacing and block
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Published date: December 2006
Keywords:
survival times, interval censored, weibull distribution, maximum likelihood, backward elimination
Organisations:
Statistics
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Local EPrints ID: 42006
URI: http://eprints.soton.ac.uk/id/eprint/42006
ISSN: 0266-4763
PURE UUID: 2291fc24-d0fb-43fa-9069-39cb583d9ad9
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Date deposited: 30 Oct 2006
Last modified: 15 Mar 2024 08:42
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Author:
Kamizah Abd Kudus
Author:
J. Lapongan
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