---
title: "A showcase of the main tna functions"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{A showcase of the main tna functions}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

```{r, include = FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  fig.width = 6,
  fig.height = 4,
  out.width = "100%",
  dev = "jpeg",
  dpi = 100,
  comment = "#>"
)
suppressPackageStartupMessages({
  library("tna")
  library("tibble")
  library("dplyr")
  library("gt")
})
options(scipen = 99)
options(digits = 2)
options(max.print = 30)
options(width = 83)
```


# Tutorial of TNA with R

```{r}
# Install `tna` if you haven't already
# install.packages("tna")
library("tna")
data("group_regulation")
```

## Building `tna` Model

```{r, message = FALSE, results = FALSE}
model <- tna(group_regulation)
print(model)
```


## Plotting and interpreting `tna` models

### Interpretation of the model

```{r fig.height=6, fig.width=6, fig.align='center', layout = c(1,1)}
# TNA visualization
plot(model, minimum = 0.05, cut = 0.1)
```

### Pruning and retaining edges that "matter"


```{r, fig.show='hold', fig.width=5, fig.height=5 }
layout(matrix(1:4, ncol = 2, byrow = TRUE))
# Pruning with different methods (using comparable parameters)
pruned_threshold <- prune(model, method = "threshold", threshold = 0.15)
pruned_lowest <- prune(model, method = "lowest", lowest = 0.15)
pruned_disparity <- prune(model, method = "disparity", level = 0.5)

# Plotting for comparison
plot(pruned_threshold)
plot(pruned_lowest)
plot(pruned_disparity)
plot(model, minimum = 0.05, cut = 0.1)
```

## Patterns

```{r }
layout(t(1:2))
# Identify 2-cliques (dyads) from the TNA model, excluding loops in the visualization
# A clique of size 2 is essentially a pair of connected nodes
cliques_of_two <- cliques(
  model, 
  size = 2, 
  threshold = 0.15  # Only consider edges with weight > 0.15
)
print(cliques_of_two)
plot(cliques_of_two, vsize = 15, edge.label.cex = 2, esize = 20, ask = FALSE)
```

```{r, fig.width=6,fig.height=2}
layout(t(1:3))
# Identify 3-cliques (triads) from the TNA_Model
# A clique of size 3 means a fully connected triplet of nodes
cliques_of_three <- cliques(
  model, 
  size = 3, 
  threshold = 0.05 # Only consider edges with weight > 0.05
)
print(cliques_of_three)
plot(cliques_of_three, vsize = 25, edge.label.cex = 4, esize = 20, ask = FALSE)
```

```{r, fig.width=5}
# Identify 4-cliques (quadruples) from the TNA_Model
# A clique of size 4 means four nodes that are all mutually connected
cliques_of_four <- cliques(
  model, 
  size = 4, 
  threshold = 0.035 # Only consider edges with weight > 0.03
)
print(cliques_of_four)
plot(cliques_of_four, ask = FALSE)
```


### Centralities

#### Node-level measures

```{r fig.height=8, fig.width=8, fig.align='center'}
# Compute centrality measures for the TNA model
Centralities <- centralities(model)

# Visualize the centrality measures
plot(Centralities)
```


```{r}
# Calculate hub scores and the authority scores for the network
hits_scores <- igraph::hits_scores(as.igraph(model))
hub_scores <- hits_scores$hub
authority_scores <- hits_scores$authority

# Print the calculated hub and authority scores for further analysis
print(hub_scores)
print(authority_scores)
```


#### Edge-level measures


```{r, fig.align='center', fig.width=6, fig.height=5.5, out.width="60%"}
# Edge betweenness
Edge_betweeness <- betweenness_network(model)
plot(Edge_betweeness)
```

### Community finding

```{r}
communities <- communities(model)
print(communities)
plot(communities, method = "leading_eigen")
```

## Network inference

### Bootstrapping

```{r}
# Perform bootstrapping on the TNA model with a fixed seed for reproducibility
set.seed(265)
boot <- bootstrap(model, threshold = 0.05)

# Print a summary of the bootstrap results
print(summary(boot))

# Show the non-significant edges (p-value >= 0.05 in this case)
# These are edges that are less likely to be stable across bootstrap samples
print(boot, type = "nonsig")
```

### Permutation

```{r, fig.align='center', fig.width = 5, fig.height = 5, layout = c(1,1)}
# Create TNA for the high-achievers subset (rows 1 to 1000)
Hi <- tna(group_regulation[1:1000, ])

# Create TNA for the low-achievers subset (rows 1001 to 2000)
Lo <- tna(group_regulation[1001:2000, ])

# Plot a comparison of the "Hi" and "Lo" models
# The 'minimum' parameter is set to 0.001, so edges with weights >= 0.001 are shown
plot_compare(Hi, Lo, minimum = 0.01)

# Run a permutation test to determine statistical significance of differences
# between "Hi" and "Lo"
# The 'iter' argument is set to 1000, meaning 1000 permutations are performed
Permutation <- permutation_test(Hi, Lo, iter = 1000, measures = "Betweenness")

# Plot the significant differences identified in the permutation test
plot(Permutation, minimum = 0.01)
```

```{r}
print(Permutation$edges$stats)
print(Permutation$centralities$stats)
```

### Interpreting the Results of the Case-Dropping Bootstrap for Centrality Indices

```{r, fig.align='center', fig.width=7, fig.height=4}
# Results of the Case-Dropping Bootstrap for Centrality Indices
Centrality_stability <- estimate_centrality_stability(model, iter = 100)
plot(Centrality_stability)
```
