anova-phylogenetique-projet.../R/anovaComparison.R

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# Phylocomparison tools
library(phylolm)
library(phylotools)
library(phytools)
library(phylolimma)
library(ape)
library(tidyverse)
# Plotting
library(ggplot2)
library(patchwork)
# Sourcing the utils
source("./R/utils.R")
# Fixing randomness for reproducibility
set.seed(1234)
# Parameters
nb_species <- 20
# Generating the phylo tree
tree <- rphylo(nb_species, birth = 0.1, death = 0)
# Group selections tries to have group of same size
plotTree(tree, node.numbers = TRUE)
# Here I chose two ancestors to split in two the tree
ancestors <- c(22, 23)
K <- length(ancestors) # The number of groups
# I assign the groups numbers
## Matching the phylogeny
phylomatching_groups <- sapply(1:nb_species, function(tip) {
get_phylo_group(tip,
tree,
ancestors = ancestors
)
})
## Randomly
random_groups <- sample(1:K, nb_species, replace = TRUE)
## Randomly but with same size of groups
# sameSize_random_groups <- sample(1:K,
# nb_species,
# replace = TRUE,
# prob = table(phylo_matching_groups)
# )
# group_sizes <- table(phylo_matching_groups)
# Saving images of tree
plot_group_on_tree <- function(tree, groups) {
plot(tree, show.tip.label = FALSE, x.lim = 50)
tiplabels(bg = groups, pch = 21)
text(x = 10, y = 0, label = "This tree will be normalised.")
}
# Saving trees
png(file = "img/group_phylo_matching_tree.png")
plot_group_on_tree(tree, group = phylomatching_groups)
dev.off()
png(file = "img/group_random_tree.png")
plot_group_on_tree(tree, group = random_groups)
dev.off()
# Normalising tree edge length
taille_tree <- diag(vcv(tree))[1]
tree$edge.length <- tree$edge.length / taille_tree
#' Simulates 2 sets of data, one matching phylo, one random and apply the
#' 3 methods on it (vanilla, satterthwaite, lrt)
simulate_all_methods <- function(
sim_id, correct_hypothesis = c("H0", "H1"), base_values,
sigma2_phylo,
sigma2_measure, risk_threshold = 0.05) {
# Be sure to ignore base_values if testing H0
if (correct_hypothesis == "H0") {
base_values <- rep(0, length(base_values))
}
# Computing traits
phylomatching_y <- compute_trait_values(
groups = phylomatching_groups,
base_values = base_values,
tree = tree, sigma2_phylo = sigma2_phylo,
sigma2_measure = sigma2_measure
)
random_y <- compute_trait_values(
groups = random_groups,
base_values = base_values,
tree = tree, sigma2_phylo = sigma2_phylo,
sigma2_measure = sigma2_measure
)
# Fits
phylomatching_fits <- infere_anova_phyloanova(
y = phylomatching_y,
groups = phylomatching_groups, tree = tree
)
random_fits <- infere_anova_phyloanova(
y = random_y,
groups = random_groups, tree = tree
)
#  pvalues
phylomatching_all_methods_df <- do.call("rbind", lapply(c("vanilla", "satterthwaite", "lrt"), function(method) {
phylomatching_pvalues_df <- pvalues_from_fits(
fit_anova = phylomatching_fits$anova,
fit_phylolm = phylomatching_fits$phyloanova, tested_method = method,
tree = tree, REML = FALSE
)
phylomatching_pvalues_df$tested_method <- method
phylomatching_pvalues_df
}))
random_all_methods_df <- do.call("rbind", lapply(c("vanilla", "satterthwaite", "lrt"), function(method) {
random_pvalues_df <- pvalues_from_fits(
fit_anova = random_fits$anova,
fit_phylolm = random_fits$phyloanova, tested_method = method,
tree = tree, REML = FALSE
)
random_pvalues_df$tested_method <- method
random_pvalues_df
}))
#  Differientiating the two dataframes before merging
phylomatching_all_methods_df$group_type <- "phylomatching"
random_all_methods_df$group_type <- "random"
data_all_methods_df <- rbind(phylomatching_all_methods_df, random_all_methods_df)
# Adding the correct_hypothesis column
data_all_methods_df$correct_hypothesis <- correct_hypothesis
# Adding the has selected correctly columns
data_all_methods_df$phylolm_has_selected_correctly <-
sapply(data_all_methods_df$pvalue_phylolm, function(pvalue) {
test_selected_correctly(
correct_hypothesis = correct_hypothesis,
pvalue, risk_threshold = risk_threshold
)
})
data_all_methods_df$anova_has_selected_correctly <-
sapply(data_all_methods_df$pvalue_anova, function(pvalue) {
test_selected_correctly(
correct_hypothesis = correct_hypothesis,
pvalue, risk_threshold = risk_threshold
)
})
data_all_methods_df$sim_id <- sim_id
return(data_all_methods_df)
}
N <- 500
base_values <- c(0, 1)
sigma2_phylo <- 1
sigma2_measure <- 0.1
risk_threshold <- 0.05
N_simulation_typeI_power <- function(N, base_values, sigma2_phylo, sigma2_measure, risk_threshold = 0.05) {
df <- do.call("rbind", lapply(1:N, function(id) {
rbind(simulate_all_methods(
sim_id = id,
correct_hypothesis = "H0",
base_values = base_values,
sigma2_phylo = sigma2_phylo,
sigma2_measure = sigma2_measure,
risk_threshold = risk_threshold
), simulate_all_methods(
sim_id = id,
correct_hypothesis = "H1",
base_values = base_values,
sigma2_phylo = sigma2_phylo,
sigma2_measure = sigma2_measure,
risk_threshold = risk_threshold
))
}))
}
compute_power_typeI <- function(df) {
df_plot <- df %>%
group_by(tested_method, group_type) %>%
summarise(
phylolm_power =
mean(phylolm_has_selected_correctly[correct_hypothesis == "H1"]),
phylolm_typeIerror =
1 - mean(phylolm_has_selected_correctly[correct_hypothesis == "H0"]),
anova_power =
mean(anova_has_selected_correctly[correct_hypothesis == "H1"]),
anova_typeIerror =
1 - mean(anova_has_selected_correctly[correct_hypothesis == "H0"])
)
return(df_plot)
}
plot_method_comparison <- function(df_plot, title = "") {
#  Plot and compare
anova_plot_typeI <- ggplot(df_plot) +
aes(x = group_type, y = anova_typeIerror / 3, fill = group_type) +
ylab("Erreur Type I") +
xlab("Type de groupe") +
labs(fill = "Type de groupe") +
scale_y_continuous(limits = c(0, 1)) +
theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust = 1)) +
geom_bar(stat = "identity") +
geom_text(aes(label = round(anova_typeIerror, digits = 3)), vjust = -0.5, position = position_dodge(width = 0.9)) +
geom_hline(yintercept = 0.05)
anova_plot_power <- ggplot(df_plot) +
aes(x = group_type, y = anova_power / 3, fill = group_type) +
ylab("Puissance") +
xlab("Type de groupe") +
labs(fill = "Type de groupe") +
scale_y_continuous(limits = c(0, 1)) +
ggtitle("ANOVA") +
theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust = 1)) +
geom_bar(stat = "identity") +
geom_text(aes(label = round(anova_power, digits = 3)), vjust = -0.5, position = position_dodge(width = 0.9))
phylolm_plot_typeI <- ggplot(df_plot) +
aes(x = group_type, y = phylolm_typeIerror, fill = group_type) +
ylab("Erreur Type I") +
xlab("Type de groupe") +
labs(fill = "Type de groupe") +
scale_y_continuous(limits = c(0, 1)) +
geom_bar(stat = "identity") +
geom_text(aes(label = round(phylolm_typeIerror, digits = 3)), vjust = -0.5, position = position_dodge(width = 0.9)) +
geom_hline(yintercept = 0.05) +
theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust = 1)) +
facet_wrap(~tested_method)
phylolm_plot_power <- ggplot(df_plot) +
aes(x = group_type, y = phylolm_power, fill = group_type) +
ylab("Puissance") +
xlab("Type de groupe") +
labs(fill = "Type de groupe") +
scale_y_continuous(limits = c(0, 1)) +
ggtitle("phylolm") +
geom_bar(stat = "identity") +
theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust = 1)) +
facet_wrap(~tested_method) +
geom_text(aes(label = round(phylolm_power, digits = 3)), vjust = 0.6, position = position_dodge(width = 0.9))
((anova_plot_power + phylolm_plot_power + plot_layout(axis_titles = "collect")) / (anova_plot_typeI + phylolm_plot_typeI + plot_layout(axis_titles = "collect"))) + plot_layout(guides = "collect", axes = "collect", axis_titles = "collect") +
plot_annotation(title = title)
}
## Standardized parameters
total_variance <- 1.0 # sigma2_phylo + sigma2_error, fixed [as tree_height = 1]
heri <- c(0.0, 0.25, 0.5, 1.0) # heritability her = sigma2_phylo / total_variance. 0 means only noise. 1 means only phylo.
snr <- 1 # signal to noise ratio snr = size_effect / total_variance
## Try several parameter values
ggsave <- function(..., bg = "white") ggplot2::ggsave(..., bg = bg)
for (her in heri) {
sim <- N_simulation_typeI_power(N,
base_values = c(0, snr * total_variance),
sigma2_phylo = her * total_variance,
sigma2_measure = (1 - her) * total_variance,
)
df_sim_plot <- compute_power_typeI(df = sim)
res_sim_plot <- plot_method_comparison(df_sim_plot, title = paste("BM héritabilité ", her))
res_sim_plot
ggsave(paste0("img/simulation_BM_her_", her, ".png"), plot = res_sim_plot)
}