diff --git a/doc/toolStability.Rmd b/doc/toolStability.Rmd index 554976d..4b019bb 100644 --- a/doc/toolStability.Rmd +++ b/doc/toolStability.Rmd @@ -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 $i$. diff --git a/doc/toolStability.pdf b/doc/toolStability.pdf index d51f42f..847a044 100644 Binary files a/doc/toolStability.pdf and b/doc/toolStability.pdf differ diff --git a/vignettes/toolStability.Rmd b/vignettes/toolStability.Rmd index 554976d..4b019bb 100644 --- a/vignettes/toolStability.Rmd +++ b/vignettes/toolStability.Rmd @@ -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 $i$.