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little update of bracket in vignette.
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Illustratien committed Dec 1, 2023
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4 changes: 2 additions & 2 deletions doc/toolStability.Rmd
Original file line number Diff line number Diff line change
Expand Up @@ -335,10 +335,10 @@ Ecovalence [@wricke1962] is calculated based on square and sum up the genotype
interaction all over the environment.
Variety with low ecovalence is considered as stable.
Ecovalence is expressed as:
$$W_{i} = \sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}}^{2})$$
$$W_{i} = \sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}})^{2}$$
To let $W_{i}$ comparable between experiments, we also provide the modified ecovalence ($W_{i}'$), whcih take the number of environments into account. User can get ($W_{i}'$) by setting `modify = TRUE`.

$$W_{i}' = \frac{\sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}}^{2})}{E-1}$$
$$W_{i}' = \frac{\sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}})^{2}}{E-1}$$
where $X_{ij}$ is the observed phenotypic mean value of genotype $i$ (i = 1,..., G)
in environment $j$ (j = 1,...,E), with $\bar{X_{i.}}$ denoting marginal means of genotype $i$.

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4 changes: 2 additions & 2 deletions vignettes/toolStability.Rmd
Original file line number Diff line number Diff line change
Expand Up @@ -335,10 +335,10 @@ Ecovalence [@wricke1962] is calculated based on square and sum up the genotype
interaction all over the environment.
Variety with low ecovalence is considered as stable.
Ecovalence is expressed as:
$$W_{i} = \sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}}^{2})$$
$$W_{i} = \sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}})^{2}$$
To let $W_{i}$ comparable between experiments, we also provide the modified ecovalence ($W_{i}'$), whcih take the number of environments into account. User can get ($W_{i}'$) by setting `modify = TRUE`.

$$W_{i}' = \frac{\sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}}^{2})}{E-1}$$
$$W_{i}' = \frac{\sum_{j}~(X_{ij} - \bar{X_{i.}} - \bar{X_{.j}} + \bar{X_{..}})^{2}}{E-1}$$
where $X_{ij}$ is the observed phenotypic mean value of genotype $i$ (i = 1,..., G)
in environment $j$ (j = 1,...,E), with $\bar{X_{i.}}$ denoting marginal means of genotype $i$.

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