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  • 1
    Electronic Resource
    Electronic Resource
    On the use of diagnostic biplots in model screening for genotype by environment tables (1995)
    Springer
    Statistics and computing 5 (1995), S. 141-153 
    Details
    ISSN: 1573-1375
    Keywords: AMMI ; biadditive model ; bilinear model ; concurrence model ; genotype by environment interaction ; multiplicative interaction ; row regression
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Popular rank-2 and rank-3 models for two-way tables have geometrical properties which can be used as diagnostic keys in screening for an appropriate model. Row and column levels of two-way tables are represented by points in two or three dimensional space, whereupon collinearity and coplanarity of row and column points provide diagnostic keys for informal model choice. Coordinates are obtained from a factorization of the two-way table Y in the matrix product UV T. The rows of U then contain row-point coordinates and the rows of V column-point coordinates. Illustrations of applications of diagnostic biplots in the literature were restricted to data from chemistry and physics with little or no noise. In plant breeding, two-way tables containing substantial amounts of noise regularly arise in the form of genotype by environment tables. To investigate the usefulness of diagnostic biplots for model screening for genotype by environment tables, data tables were generated from a range of two-way models under the addition of various amounts of noise. Chances for correct diagnosis of the generating model depended on the type of model. Diagnostic biplots on their own do not seem to provide a sufficient means for model selection for genotype by environment tables, but in combination with other methods they certainly can provide extra insight into the structure of the data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00143945
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  • 2
    Electronic Resource
    Electronic Resource
    Variation in resistance level of potato genotypes and virulence level of potato cyst nematode populations (1992)
    Springer
    Euphytica 62 (1992), S. 135-143 
    Details
    ISSN: 1573-5060
    Keywords: pathotype ; virulence group ; partial resistance ; Globodera rostochiensis ; Globodera pallida ; Solanum tuberosum ; potato ; potato cyst nematode
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary In two experiments, using different testing methods, the number of newly formed cysts was determined on nine potato genotypes with resistance from various sources. Ten potato cyst nematode (PCN) populations were used in these experiments. Rank correlation between numbers of cysts over potato genotype-PCN population combinations for both experiments was high (rs = 0.90). Dendrograms for PCN populations and potato genotypes were constructed, based on a simultaneous hierarchical clustering procedure for potato genotype-PCN population interaction terms. Several virulence groups could be identified within Globodera rostochiensis as well as within G. pallida. Host genotypes, derived from the same sources of resistance, were clustered in different resistance groups.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00037939
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  • 3
    Electronic Resource
    Electronic Resource
    Analysing genotype by environment interaction in Dutch potato variety trials using factorial regression (1995)
    Springer
    Euphytica 82 (1995), S. 149-155 
    Details
    ISSN: 1573-5060
    Keywords: AMMI ; biadditive model ; factorial regression ; multiplicative interaction ; potato ; variety trials ; Solanum tuberosum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Genotype by environment interaction was investigated for yield data from the official Dutch Variety List trials for potato. The data set included 64 genotypes by 26 environments, where environments consisted of year by soil type combinations. Factorial regression models incorporating genotypic and environmental covariates in the interaction were used to analyse the data. The merits of factorial regression models were compared with those of biadditive models. Factorial regression models and biadditive models described comparable amounts of interaction, but factorial regression models provided a better basis for biological interpretation of the interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00027061
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  • 4
    Electronic Resource
    Electronic Resource
    Linear and bilinear models for the analysis of multi-environment trials: I. An inventory of models (1995)
    Springer
    Euphytica 84 (1995), S. 1-7 
    Details
    ISSN: 1573-5060
    Keywords: AMMI ; best linear unbiassed prediction ; factorial regression ; genotype by environment interaction ; multiplicative interaction ; reduced rank regression ; two-way table ; variance components ; variety trials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The multi-environment trial, in which a number of genotypes is evaluated over a range of environmental conditions, is a standard experiment in plant breeding in general, and variety testing in particular. Useful statistical models for the analysis of multi-environment trials, with emphasis on the analysis of genotype by environment interaction, can be found in the classes of linear and bilinear models. Statistical properties of the most important representatives of these model classes are shortly reviewed. Structural differences between the models stem from: (1) the inclusion of random model terms in addition to fixed model terms; (2) the representation of the interaction by additive or multiplicative parameters; (3) the incorporation of concomitant variables on the levels of the environmental factor. For models with bilinear multiplicative structure for the interaction it is described how the interaction can be visualized by biplots. An illustration of the application of the models and biplots is given in a companion paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01677551
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  • 5
    Electronic Resource
    Electronic Resource
    Analysing genotype by environment interaction in Dutch potato variety trials using factorial regression (1995)
    Springer
    Euphytica 84 (1995), S. 23-29 
    Details
    ISSN: 1573-5060
    Keywords: AMMI ; biadditive model ; factorial regression ; multiplicative interaction ; potato ; variety trials ; Solanum tuberosum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Genotype by environment interaction was investigated for yield data from the official Dutch Variety List trials for potato. The data set included 64 genotypes by 26 environments, where environments consisted of year by soil type combinations. Factorial regression models incorporating genotypic and environmental covariates in the interaction were used to analyse the data. The merits of factorial regression models were compared with those of biadditive models. Factorial regression models and biadditive models described comparable amounts of interaction, but factorial regression models provided a better basis for biological interpreration of the interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01677553
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  • 6
    Electronic Resource
    Electronic Resource
    Linear and bilinear models for the analysis of multi-environment trials: II. An application to data from the Dutch Maize Variety Trials (1995)
    Springer
    Euphytica 84 (1995), S. 9-22 
    Details
    ISSN: 1573-5060
    Keywords: AMMI ; best linear unbiassed prediction ; factorial regression ; genotype by environment interaction ; maize ; missing values ; multiplicative interaction ; reduced rank regression ; two-way table
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary As the sequel to a paper that dealt with the theoretical aspects of linear and bilinear models for the analysis of genotype by environment interaction in multi-environment trials, this paper presents an illustration of the application of these models to real life data. The data come from maize trials that were conducted within the ongoing evaluation programme for the Dutch Descriptive Variety List of Field Crops. The variable that is analyzed is dry matter content. It is shown how linear and bilinear models can be used supplementary to each other within a general strategy for dealing with genotype by environment interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01677552
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