Description Usage Arguments Value Author(s) References Examples
Bayesian estimation method of linear–bilinear models for Genotype by Environment Interaction Model
1 2 | ## Default S3 method:
bayes_ammi(.data, .y, .gen, .env, .rep, .nIter)
|
.data |
data.frame |
.y |
Response Variable |
.gen |
Genotypes Factor |
.env |
Environment Factor |
.rep |
Replication Factor |
.nIter |
Number of Iterations |
Genotype by Environment Interaction Model
Muhammad Yaseen (myaseen208@gmail.com)
Diego Jarquin (diego.jarquin@gmail.com)
Sergio Perez-Elizalde (sergiop@colpos.mx)
Juan Burgueño (j.burgueno@cgiar.org)
Jose Crossa (j.crossa@cgiar.org)
Perez-Elizalde, S., Jarquin, D., and Crossa, J. (2011) A General Bayesian Estimation Method of Linear–Bilinear Models Applied to Plant Breeding Trials With Genotype × Environment Interaction. Journal of Agricultural, Biological, and Environmental Statistics, 17, 15–37. (doi:10.1007/s13253-011-0063-9)
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 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 | data(cultivo2008)
fm1 <-
ge_ammi(
.data = cultivo2008
, .y = y
, .gen = entry
, .env = site
, .rep = rep
)
r0 <- fm1$g
c0 <- fm1$e
n0 <- fm1$Rep
k0 <- fm1$k
mu0 <- fm1$mu
sigma20 <- fm1$sigma2
tau0 <- fm1$tau
tao0 <- fm1$tao
delta0 <- fm1$delta
lambdas0 <- fm1$lambdas
alphas0 <- fm1$alphas
gammas0 <- fm1$gammas
ge_means0 <- fm1$ge_means$ge_means
data(cultivo2008)
fm2 <-
ge_ammi(
.data = cultivo2009
, .y = y
, .gen = entry
, .env = site
, .rep = rep
)
k <- fm2$k
alphasa <- fm2$alphas
gammasa <- fm2$gammas
alphas1 <- tibble::as_tibble(fm2$alphas)
gammas1 <- tibble::as_tibble(fm2$gammas)
# Biplots OLS
library(ggplot2)
BiplotOLS1 <-
ggplot(data = alphas1, mapping = aes(x = V1, y = V2)) +
geom_point() +
geom_hline(yintercept = 0) +
geom_vline(xintercept = 0) +
geom_text(aes(label = 1:nrow(alphas1)), vjust = "inward", hjust = "inward") +
scale_x_continuous(
limits = c(-max(abs(c(range(alphas1[, 1:2]))))
, max(abs(c(range(alphas1[, 1:2])))))) +
scale_y_continuous(
limits = c(-max(abs(c(range(alphas1[, 1:2]))))
, max(abs(c(range(alphas1[, 1:2])))))) +
labs(title = "OLS", x = expression(u[1]), y = expression(u[2])) +
theme_bw() +
theme(plot.title = element_text(hjust = 0.5))
print(BiplotOLS1)
BiplotOLS2 <-
ggplot(data = gammas1, mapping = aes(x = V1, y = V2)) +
geom_point() +
geom_hline(yintercept = 0) +
geom_vline(xintercept = 0) +
geom_text(aes(label = 1:nrow(gammas1)), vjust = "inward", hjust = "inward") +
scale_x_continuous(
limits = c(-max(abs(c(range(gammas1[, 1:2]))))
, max(abs(c(range(gammas1[, 1:2])))))) +
scale_y_continuous(
limits = c(-max(abs(c(range(gammas1[, 1:2]))))
, max(abs(c(range(gammas1[, 1:2])))))) +
labs(title = "OLS", x = expression(v[1]), y = expression(v[2])) +
theme_bw() +
theme(plot.title = element_text(hjust = 0.5))
print(BiplotOLS2)
BiplotOLS3 <-
ggplot(data = alphas1, mapping = aes(x = V1, y = V2)) +
geom_point() +
geom_hline(yintercept = 0) +
geom_vline(xintercept = 0) +
geom_text(aes(label = 1:nrow(alphas1)), vjust = "inward", hjust = "inward") +
geom_point(data = gammas1, mapping = aes(x = V1, y = V2)) +
geom_segment(data = gammas1, aes(x = 0, y = 0, xend = V1, yend = V2),
arrow = arrow(length = unit(0.2, "cm")), alpha = 0.75, color = "red") +
geom_text(data = gammas1,
aes(x = V1, y = V2, label = paste0("E", 1:nrow(gammasa)))
, vjust = "inward", hjust = "inward") +
scale_x_continuous(
limits = c(-max(abs(c(range(alphas1[, 1:2], gammas1[, 1:2]))))
, max(abs(c(range(alphas1[, 1:2], gammas1[, 1:2])))))) +
scale_y_continuous(
limits = c(-max(abs(c(range(alphas1[, 1:2], gammas1[, 1:2]))))
, max(abs(c(range(alphas1[, 1:2], gammas1[, 1:2])))))) +
labs(title = "OLS", x = expression(PC[1]), y = expression(PC[2])) +
theme_bw() +
theme(plot.title = element_text(hjust = 0.5))
print(BiplotOLS3)
fm3 <-
bayes_ammi(
.data = cultivo2009
, .y = y
, .gen = entry
, .env = site
, .rep = rep
, .nIter = 200
)
Mean_Alphas <- tibble::as_tibble(matrix(colMeans(fm3$alphas1), ncol = 11))
Mean_Gammas <- tibble::as_tibble(matrix(colMeans(fm3$gammas1), ncol = 11))
# Biplots Bayesian
BiplotBayes1 <-
ggplot(data = Mean_Alphas, mapping = aes(x = V1, y = V2)) +
geom_point() +
geom_hline(yintercept = 0) +
geom_vline(xintercept = 0) +
geom_text(aes(label = 1:nrow(Mean_Alphas)),
vjust = "inward"
, hjust = "inward") +
scale_x_continuous(
limits = c(-max(abs(c(range(Mean_Alphas[, 1:2]))))
, max(abs(c(range(Mean_Alphas[, 1:2])))))) +
scale_y_continuous(
limits = c(-max(abs(c(range(Mean_Alphas[, 1:2]))))
, max(abs(c(range(Mean_Alphas[, 1:2])))))) +
labs(title = "Bayes", x = expression(u[1]), y = expression(u[2])) +
theme_bw() +
theme(plot.title = element_text(hjust = 0.5))
print(BiplotBayes1)
BiplotBayes2 <-
ggplot(data = Mean_Gammas, mapping = aes(x = V1, y = V2)) +
geom_point() +
geom_hline(yintercept = 0) +
geom_vline(xintercept = 0) +
geom_text(aes(label = 1:nrow(Mean_Gammas)), vjust = "inward", hjust = "inward") +
scale_x_continuous(
limits = c(-max(abs(c(range(Mean_Gammas[, 1:2]))))
, max(abs(c(range(Mean_Gammas[, 1:2])))))) +
scale_y_continuous(
limits = c(-max(abs(c(range(Mean_Gammas[, 1:2]))))
, max(abs(c(range(Mean_Gammas[, 1:2])))))) +
labs(title = "Bayes", x = expression(v[1]), y = expression(v[2])) +
theme_bw() +
theme(plot.title = element_text(hjust = 0.5))
print(BiplotBayes2)
BiplotBayes3 <-
ggplot(data = Mean_Alphas, mapping = aes(x = V1, y = V2)) +
geom_point() +
geom_hline(yintercept = 0) +
geom_vline(xintercept = 0) +
geom_text(aes(label = 1:nrow(Mean_Alphas)),
vjust = "inward", hjust = "inward") +
geom_point(data = Mean_Gammas, mapping = aes(x = V1, y = V2)) +
geom_segment(data = Mean_Gammas,
aes(x = 0, y = 0, xend = V1, yend = V2),
arrow = arrow(length = unit(0.2, "cm"))
, alpha = 0.75, color = "red") +
geom_text(data = Mean_Gammas,
aes(x = V1, y = V2,
label = paste0("E", 1:nrow(Mean_Gammas))),
vjust = "inward", hjust = "inward") +
scale_x_continuous(
limits = c(-max(abs(c(range(Mean_Alphas[, 1:2], Mean_Gammas[, 1:2]))))
, max(abs(c(range(Mean_Alphas[, 1:2], Mean_Gammas[, 1:2])))))) +
scale_y_continuous(
limits = c(-max(abs(c(range(Mean_Alphas[, 1:2], Mean_Gammas[, 1:2]))))
, max(abs(c(range(Mean_Alphas[, 1:2], Mean_Gammas[, 1:2])))))) +
labs(title = "Bayes", x = expression(PC[1]), y = expression(PC[2])) +
theme_bw() +
theme(plot.title = element_text(hjust = 0.5))
print(BiplotBayes3)
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