The symbols used in the help pages and vignettes of stability, with their meaning and the argument or result component that holds them. The notation follows one rule throughout: scalars are upper-case letters in normal face (\(P\), \(R\)), indices lower-case italic (\(i, j\)), vectors lower-case bold (\(\mathbf{y}\), \(\boldsymbol{\beta}\)) and matrices upper-case bold (\(\mathbf{X}\), \(\boldsymbol{\Sigma}\)).
Usage
stab_notation(format = c("table", "path", "tex"))See also
Other stability utilities:
stab_reference(),
stab_save(),
stab_theme()
Author
Muhammad Yaseen (myaseen208@gmail.com)
Examples
stab_notation(
format = c("table", "path", "tex")[1]
)
#> symbol text kind
#> <char> <char> <char>
#> 1: G G scalar
#> 2: E E scalar
#> 3: B B scalar
#> 4: i, j, k i j k index
#> 5: \\mathbf{Y} = (\\bar{y}_{ij}) Y matrix
#> 6: \\bar{y}_{i\\cdot}, \\bar{y}_{\\cdot j}, \\bar{y} y_i. y_.j y.. scalar
#> 7: \\mathbf{Z} = (z_{ij}) Z matrix
#> 8: I_j I_j scalar
#> 9: s^2, f_e s2 f_e scalar
#> 10: \\beta_i b_i scalar
#> 11: S^2_{d_i} S2d_i scalar
#> 12: W_i W_i scalar
#> 13: \\sigma^2_i sigma2_i scalar
#> 14: \\lambda_n lambda_n scalar
#> 15: \\boldsymbol{\\gamma}_n, \\boldsymbol{\\delta}_n gamma_n delta_n vector
#> 16: P P scalar
#> 17: \\mathbf{g}_i, \\mathbf{e}_j g_i e_j vector
#> 18: \\mathbf{a} a vector
#> 19: \\alpha, Z_{1-\\alpha} alpha z scalar
#> 20: P_i P_i scalar
#> 21: S^{(1)}_i, S^{(2)}_i S1_i S2_i scalar
#> 22: \\mathbf{A}^\\top, \\mathbf{1} A^T 1 operator
#> symbol text kind
#> <char> <char> <char>
#> meaning
#> <char>
#> 1: number of genotypes
#> 2: number of environments
#> 3: number of replicates in each environment
#> 4: genotype, environment, replicate
#> 5: table of genotype-by-environment means
#> 6: genotype, environment and grand means
#> 7: interaction effects (means centred on rows and columns)
#> 8: environment index, environment mean minus grand mean
#> 9: pooled error mean square of the plots and its degrees of freedom
#> 10: regression slope of genotype i on the environment index
#> 11: Eberhart and Russell's deviation variance
#> 12: Wricke's ecovalence
#> 13: Shukla's stability variance
#> 14: n-th singular value (AMMI: of Z; GGE: of the environment-centred means)
#> 15: genotype and environment singular vectors
#> 16: singular value partition of the GGE biplot: 1 genotype-focused, 0.5 symmetric, 0 environment-focused
#> 17: GGE biplot points of genotype i and environment j
#> 18: direction of the average environment axis
#> 19: risk of a low yield accepted in the safety-first and reliability indices, and the normal quantile
#> 20: Lin and Binns' superiority measure
#> 21: Huehn's mean absolute rank difference and variance of ranks
#> 22: transpose, vector of ones
#> meaning
#> <char>
#> argument
#> <char>
#> 1: .gen
#> 2: .env
#> 3: .rep
#> 4:
#> 5: .y
#> 6:
#> 7:
#> 8:
#> 9:
#> 10:
#> 11:
#> 12:
#> 13:
#> 14:
#> 15:
#> 16: .svp
#> 17:
#> 18:
#> 19: alpha
#> 20:
#> 21:
#> 22:
#> argument
#> <char>