Computing optimal allocation of trials to subregions in crop‐variety testing in case of correlated genotype effects
The subject of this work is the allocation of trials to subregions in crop variety testing in the case of correlated genotype effects. A solution for computation of optimal allocations using the OptimalDesign package in R is proposed. The obtained optimal designs minimize linear criteria based on th...
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| Published in | Statistica Neerlandica Vol. 79; no. 1 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Blackwell Publishing Ltd
01.02.2025
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| Abstract | The subject of this work is the allocation of trials to subregions in crop variety testing in the case of correlated genotype effects. A solution for computation of optimal allocations using the OptimalDesign package in R is proposed. The obtained optimal designs minimize linear criteria based on the mean squared error matrix of the best linear unbiased prediction of the genotype effects. The proposed computational approach allows for any kind of additional linear constraint on the designs. The results are illustrated by a real data example. |
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| AbstractList | The subject of this work is the allocation of trials to subregions in crop variety testing in the case of correlated genotype effects. A solution for computation of optimal allocations using the OptimalDesign package in R is proposed. The obtained optimal designs minimize linear criteria based on the mean squared error matrix of the best linear unbiased prediction of the genotype effects. The proposed computational approach allows for any kind of additional linear constraint on the designs. The results are illustrated by a real data example. |
| Author | Prus, Maryna |
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| Cites_doi | 10.1111/1541-0420.00044 10.1111/jbg.12398 10.1214/aos/1176342810 10.1007/s13253-020-00426-y 10.1214/aos/1176324453 10.1016/j.spl.2018.01.017 10.1016/j.jspi.2006.02.002 10.1007/978-3-7908-1952-6_20 10.2135/cropsci2013.02.0073 10.1111/rssb.12105 10.1002/agj2.20336 10.2307/2529430 |
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| Copyright | 2024 The Author(s). published by John Wiley & Sons Ltd on behalf of Netherlands Society for Statistics and Operations Research. 2024. This work is published under Creative Commons Attribution – Non-Commercial – No Derivatives License~http://creativecommons.org/licenses/by-nc-nd/3.0/ (the "License"). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References | 2007; 137 1982; 13 2021; 26 1995; 23 2018; 137 2013; 53 2019 2003; 59 2007 2019; 136 1975; 31 2020; 112 1993 1974; 2 2016; 78 e_1_2_10_12_1 e_1_2_10_9_1 e_1_2_10_13_1 e_1_2_10_10_1 e_1_2_10_11_1 Gladitz J. (e_1_2_10_6_1) 1982; 13 e_1_2_10_2_1 Pukelsheim F. (e_1_2_10_16_1) 1993 e_1_2_10_4_1 e_1_2_10_3_1 e_1_2_10_5_1 e_1_2_10_8_1 e_1_2_10_14_1 e_1_2_10_7_1 e_1_2_10_15_1 |
| References_xml | – volume: 2 start-page: 849 year: 1974 end-page: 879 article-title: General equivalence theory for optimum designs (approximate theory) publication-title: Annals of Statistics – volume: 13 start-page: 371 year: 1982 end-page: 385 article-title: Construction of optimal designs in random coefficient regression models publication-title: Mathematische Operationsforschung Und Statistik, Series Statistics – volume: 23 start-page: 30 year: 1995 end-page: 40 article-title: Minimax designs in linear regression models publication-title: The Annals of Statistics – start-page: 157 year: 2007 end-page: 164 – volume: 31 start-page: 423 year: 1975 end-page: 477 article-title: Best linear unbiased estimation and prediction under a selection model publication-title: Biometrics – volume: 26 start-page: 267 year: 2021 end-page: 288 article-title: Optimizing the allocation of trials to sub‐regions in multi‐environment crop variety testing publication-title: Journal of Agricultural, Biological and Environmental Statistics – volume: 137 start-page: 135 year: 2018 end-page: 141 article-title: Computing optimal experimental designs with respect to a compound Bayes risk criterion publication-title: Statistics and Probability Letters – volume: 78 start-page: 175 year: 2016 end-page: 191 article-title: Optimal designs for the prediction of individual parameters in hierarchical models publication-title: Journal of the Royal Statistical Society: Series B – volume: 59 start-page: 375 year: 2003 end-page: 381 article-title: Planning incomplete block experiments when treatments are genetically related publication-title: Biometrics – volume: 137 start-page: 1446 year: 2007 end-page: 1451 article-title: Block designs for random treatment effects publication-title: Journal of Statistical Planning and Inference – volume: 53 start-page: 1384 year: 2013 end-page: 1391 article-title: Comparison of the performance of BLUE and BLUP for zoned Indian maize data publication-title: Crop Science – volume: 136 start-page: 262 year: 2019 end-page: 272 article-title: Average information residual maximum likelihood in practice publication-title: Animal Breeding and Genetics – year: 2019 – volume: 112 start-page: 3929 year: 2020 end-page: 3940 article-title: Generating experimental designs for estimation of genetically related treatment effects using SAS publication-title: Agronomy Journal – year: 1993 – volume-title: Optimal design of experiments year: 1993 ident: e_1_2_10_16_1 – ident: e_1_2_10_3_1 doi: 10.1111/1541-0420.00044 – ident: e_1_2_10_5_1 doi: 10.1111/jbg.12398 – ident: e_1_2_10_10_1 doi: 10.1214/aos/1176342810 – ident: e_1_2_10_14_1 doi: 10.1007/s13253-020-00426-y – ident: e_1_2_10_4_1 doi: 10.1214/aos/1176324453 – ident: e_1_2_10_8_1 doi: 10.1016/j.spl.2018.01.017 – ident: e_1_2_10_2_1 doi: 10.1016/j.jspi.2006.02.002 – ident: e_1_2_10_7_1 – ident: e_1_2_10_12_1 doi: 10.1007/978-3-7908-1952-6_20 – ident: e_1_2_10_11_1 doi: 10.2135/cropsci2013.02.0073 – ident: e_1_2_10_15_1 doi: 10.1111/rssb.12105 – ident: e_1_2_10_13_1 doi: 10.1002/agj2.20336 – volume: 13 start-page: 371 year: 1982 ident: e_1_2_10_6_1 article-title: Construction of optimal designs in random coefficient regression models publication-title: Mathematische Operationsforschung Und Statistik, Series Statistics – ident: e_1_2_10_9_1 doi: 10.2307/2529430 |
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| SubjectTerms | Allocations best linear unbiased prediction correlated genotype effects experimental design linear mixed model multi‐environment trials optimal design |
| Title | Computing optimal allocation of trials to subregions in crop‐variety testing in case of correlated genotype effects |
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