Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
A common problem in multi-environment trials arises when some genotypeby- environment combinations are missing. In Arciniegas-Alarcón et al. (2010) we outlined a method of data imputation to estimate the missing values, the computational algorithm for which was a mixture of regression and lower-rank approximation of a matrix based on its singular value decomposition (SVD). In the present paper we provide two extensions to this methodology, by including weights chosen by cross-validation and allowing multiple as well as simple imputation. The three methods are assessed and compared in a simulation study, using a complete set of real data in which values are deleted randomly at different rates. The quality of the imputations is evaluated using three measures: the Procrustes statistic, the squared correlation between matrices and the normalised root mean squared error between these estimates and the true observed values. None of the methods makes any distributional or structural assumptions, and all of them can be used for any pattern or mechanism of the missing values.
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
75-88
Opis fizyczny
Daty
wydano
2014-12-01
online
2014-12-20
Twórcy
- Departamento de Ciências Exatas, Universidade de São Paulo/ESALQ, Cx.P.09, CEP.13418-900, Piracicaba, SP - Brasil, sergio.arciniegas@gmail.com
autor
- Departamento de Ciências Exatas, Universidade de São Paulo/ESALQ, Cx.P.09, CEP.13418-900, Piracicaba, SP - Brasil
autor
- College of Engineering, Mathematics and Physical Sciences, Harrison Building, University of Exeter, North Park Road, Exeter, EX4 4QF, United Kingdom, sergio.arciniegas@gmail.com
- Departamento de Ciências Exatas, Universidade de São Paulo/ESALQ, Cx.P.09, CEP.13418-900, Piracicaba, SP - Brasil
Bibliografia
- Arciniegas-Alarcón S., García-Peña M., Dias C.T.S. (2011): Data imputation in trials with genotype×environment interaction. Interciencia 36(6): 444-449.
- Arciniegas-Alarcón S., García-Peña M., Dias C.T.S., Krzanowski W.J. (2010): An alternative methodology for imputing missing data in trials with genotypeby- environment interaction. Biometrical Letters 47(1): 1-14.
- Bergamo G.C., Dias C.T.S., Krzanowski W.J. (2008): Distribution-free multiple imputation in an interaction matrix through singular value decomposition. Scientia Agricola 65(4): 422-427.[WoS]
- Calinski T., Czajka S., Kaczmarek Z., Krajewski P., Pilarczyk W. (2009): Analyzing the Genotype-by-Environment Interactions Under a Randomization- Derived Mixed Model. Journal of Agricultural, Biological and Environmental Statistics 14(2): 224-241.[WoS][Crossref]
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_bile-2014-0006