Description Usage Arguments Details Value References See Also Examples

`AVAMGE.AMMI`

computes the Sum Across Environments of Absolute Value of
GEI Modelled by AMMI (AVAMGE)
\insertCitezali_evaluation_2012ammistability considering all significant
interaction principal components (IPCs) in the AMMI model. Using AVAMGE, the
Simultaneous Selection Index for Yield and Stability (SSI) is also calculated
according to the argument `ssi.method`

. \loadmathjax

1 | ```
AVAMGE.AMMI(model, n, alpha = 0.05, ssi.method = c("farshadfar", "rao"), a = 1)
``` |

`model` |
The AMMI model (An object of class |

`n` |
The number of principal components to be considered for computation. The default value is the number of significant IPCs. |

`alpha` |
Type I error probability (Significance level) to be considered to identify the number of significant IPCs. |

`ssi.method` |
The method for the computation of simultaneous selection
index. Either |

`a` |
The ratio of the weights given to the stability components for
computation of SSI when |

The Sum Across Environments of Absolute Value of GEI Modelled by AMMI (\mjseqnAV_(AMGE)) \insertCitezali_evaluation_2012ammistability is computed as follows:

\mjsdeqnAV_(AMGE) = \sum_j=1^E \sum_n=1^N' \left |\lambda_n \gamma_in \delta_jn \right |

Where, \mjseqnN' is the number of significant IPCs (number of IPC that were retained in the AMMI model via F tests); \mjseqn\lambda_n is the singular value for \mjseqnnth IPC and correspondingly \mjseqn\lambda_n^2 is its eigen value; \mjseqn\gamma_in is the eigenvector value for \mjseqnith genotype; and \mjseqn\deltajn is the eigenvector value for the \mjseqnjth environment.

A data frame with the following columns:

`AVAMGE` |
The AVAMGE values. |

`SSI` |
The computed values of simultaneous selection index for yield and stability. |

`rAVAMGE` |
The ranks of AVAMGE values. |

`rY` |
The ranks of the mean yield of genotypes. |

`means` |
The mean yield of the genotypes. |

The names of the genotypes are indicated as the row names of the data frame.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | ```
library(agricolae)
data(plrv)
# AMMI model
model <- with(plrv, AMMI(Locality, Genotype, Rep, Yield, console = FALSE))
# ANOVA
model$ANOVA
# IPC F test
model$analysis
# Mean yield and IPC scores
model$biplot
# G*E matrix (deviations from mean)
array(model$genXenv, dim(model$genXenv), dimnames(model$genXenv))
# With default n (N') and default ssi.method (farshadfar)
AVAMGE.AMMI(model)
# With n = 4 and default ssi.method (farshadfar)
AVAMGE.AMMI(model, n = 4)
# With default n (N') and ssi.method = "rao"
AVAMGE.AMMI(model, ssi.method = "rao")
# Changing the ratio of weights for Rao's SSI
AVAMGE.AMMI(model, ssi.method = "rao", a = 0.43)
``` |

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