By the end of this session, you will be able to:
Understand the grammar of graphics and how ggplot2 works.
Create basic visualizations including scatter plots, bar charts, histograms, and boxplots.
Customize visualizations using titles, axis labels, colors, and themes.
Use ggplot2 in your exploratory data analysis (EDA) workflow.
Data visualization helps in understanding patterns, trends, and relationships in data.
It is a crucial element in scientific research, enabling researchers to interpret and communicate their results effectively
✔️ Histogram: Used for understanding the distribution of a single variable.
✔️ Box Plot: Used for Detecting outliers and understanding the spread of data.
✔️ Scatter Plot: Used for understanding relationships between two numerical variables.
✔️ Line Plot: Used for showing trends over time or continuous data.
✔️ Bar Chart: Used for comparing categorical data.
✔️ Heatmap: Used for visualizing correlations between multiple numerical variables.
✔️ Pair Plot: Used for visualizing pairwise relationships in the dataset.
✔️ Violin Plot: Used for understanding the distribution of a variable across categories.
✔️ Pie Chart: Used for representing proportions.
✔️ Bubble Chart: Used for adding a third variable to a scatter plot(Comparing three numerical variables)
✔️ Word Cloud: used to highlight keywords, trends, or themes in textual data (Text Analysis : Highlighting key terms in articles, reviews, or social media posts.)
✔️ Time Series Line plot: Used to analyze trends, patterns, or changes in data over a continuous period (e.g., days, months, years).
✔️ Autocorrelation Plot: Used for finding patterns in time series data.
✅ Choose the Right Chart Type (e.g., bar charts for categories, line charts for trends).
✅ Follow Design Principles (simplicity, consistency, accessibility).
✅ Use Storytelling to highlight key insights and structure visuals logically.
✅ Avoid Common Pitfalls (misleading scales, cluttered visuals, unnecessary 3D charts).
What is ggplot2?
A powerful plotting system for R, based on the Grammar of Graphics .
Developed by Hadley Wickham .
Allows building complex, publication-quality graphics in layers.
Why Use ggplot2?
Consistent syntax across plot types
Highly customizable
Supports faceting, grouping, and mapping aesthetics
Produces professional-quality visuals
library(ggplot2) ## for data visualization
library(tidyverse) ## for data manipulation
library(psych) ## for description of data
library(ggdist) ## Enhance visual representation of distribution & uncertainty
library(gganimate) ## adds dynamic animations to your visualizations
library(patchwork) ## Easily combines multiple plots into cohesive layouts
library(rio) ## For easy data import, export(saving) and conversion
Before we start visualizing our data, we need to understand the characteristics of our data. The goal is to get an idea of the data structure and to understand the relationships between variables.
Here are some functions that can help us understand the structure of our data:
[1] "id" "sex" "degree" "income" "marital" "age" "height" "weight" "hrswrk"
[1] 994 9
'data.frame': 994 obs. of 9 variables:
$ id : int 1 2 4 14 16 19 21 27 28 30 ...
$ sex : chr "MALE" "FEMALE" "FEMALE" "FEMALE" ...
$ degree : chr "BACHELOR" "BACHELOR" "BACHELOR" "HIGH SCHOOL" ...
$ income : num 60968 60968 10161 17551 17551 ...
$ marital: chr "DIVORCED" "MARRIED" "MARRIED" "MARRIED" ...
$ age : int 53 26 56 40 56 51 30 35 57 54 ...
$ height : int 72 60 68 65 66 68 62 70 71 71 ...
$ weight : int 190 97 160 156 210 170 115 180 225 165 ...
$ hrswrk : int 60 40 20 37 6 50 38 40 40 40 ...
id sex degree income marital
Min. : 1.0 Length:994 Length:994 Min. : 369.5 Length:994
1st Qu.: 648.2 Class :character Class :character 1st Qu.: 15703.8 Class :character
Median :1254.5 Mode :character Mode :character Median : 27712.5 Mode :character
Mean :1271.2 Mean : 36887.2
3rd Qu.:1915.8 3rd Qu.: 49882.5
Max. :2538.0 Max. :158657.0
age height weight hrswrk
Min. :19.00 Min. :57.00 Min. : 90.0 Min. : 1.00
1st Qu.:33.00 1st Qu.:64.00 1st Qu.:150.0 1st Qu.:38.00
Median :44.00 Median :67.00 Median :175.0 Median :40.00
Mean :44.49 Mean :67.41 Mean :181.3 Mean :42.64
3rd Qu.:55.00 3rd Qu.:70.00 3rd Qu.:205.0 3rd Qu.:50.00
Max. :79.00 Max. :79.00 Max. :410.0 Max. :89.00
The “Grammar of Graphics” is a powerful concept that ggplot2 in R is built on.
It breaks down the process of data visualization into layers, making it easier to customize and understand how to build effective charts.
Layers are added using the ‘+’ operator.
1️ Data: The foundation, where you start by defining the data set.
2️ Aesthetics: Map variables to visual aspects like color, size, and position.
3️⃣ Geometries: Specify the type of plot you want, such as bar, line, or scatter.
4️⃣ Facets: Create subplots for different subsets of your data.
5️⃣ Statistics: Add statistical transformations, like mean lines or trend lines.
6️⃣ Coordinates: Control the plot’s coordinate system, such as flipping axes.
7️⃣ Theme: Adjust the overall appearance, like grid lines, font styles, and background.
All ggplot2 plots require a data frame as input. Just running this line will produce a blank plot because we have not stated which elements from the data we want to visualize or how we want to visualize them.
Next, we need to specify the visual properties of the plot that are determined by the data. The aesthetics are specified using the aes() function. The output should now produce a blank plot but with determined visual properties (e.g., axes labels).
Finally, we need to specify the visual representation of the data. The geometries are specified using the geom_*() function. There are many different types of geometries that can be used in ggplot2. We will use geom_point() in this example and we will append it to the previous plot using the + operator. The output should now produce a plot with the specified visual representation of the data.
ggplot(gss, aes(x = income)) +
geom_histogram(binwidth = 10000, fill = "orange", color = "black") +
labs(title = "Income Distribution",
x = "Income",
y = "Frequency") +
theme_light()
ggplot(gss, aes(x = income)) +
geom_histogram(bins = 20, fill = "orange", color = "black") +
labs(title = "Income Distribution",
x = "Income",
y = "Frequency") +
theme_classic()
ggplot(data = gss, aes(x = sex, y = income)) +
geom_boxplot(fill = "purple") +
labs(title = "Income by Gender",
x = "Gender",
y = "Income") +
theme_bw()
ggplot(data = gss, aes(x = age, y =income, color = sex)) +
geom_point() +
labs(title = "Gender distribution",
x = "Gender",
y = "Number of respondent",
caption = "CDAM expert, 2025") +
theme_classic() +
theme(plot.title = element_text(hjust = 0.5))
ggplot(data = gss, aes(x = age, y =income, color = sex)) +
geom_point() +
labs(title = "Gender Distribution",
x = "Gender",
y = "No. of respondent",
caption = "Source: CDAM Experts, 2025") +
theme_classic()
ggplot(data = gss, aes(x = age, y =income, color = sex)) +
geom_point() +
labs(title = "Gender Distribution",
x = "Gender",
y = "No. of respondent",
caption = "Soure: CDAM Experts, 2025") +
theme_classic() +
theme(plot.title = element_text(hjust = 0.5))
ggplot(data = gss, aes(x = age, y =income, color = sex)) +
geom_point() +
facet_wrap(~ sex) +
labs(title = "Gender Distribution",
x = "Gender",
y = "No. of respondent",
caption = "Source: CDAM Experts, 2025") +
theme_classic() +
theme(plot.title = element_text(hjust = 0.5))
ggplot(data= gss, aes(x = sex)) +
geom_bar(fill = "red") +
labs(title = "Gender Distribution",
x = "Gender",
y = "No. of respondent") +
theme_classic()
# Load the library
library(patchwork)
combine_1 <- (p1| p2 | p3) +
plot_annotation(title = "Combined Plots Example")
# Display the combined plot
print(combine_1)
# Exporting plots
plot_1 <-ggsave("Plot_1.png", width = 10, height = 6, dpi = 300)
# combine the plots
library(patchwork)
p1 = ggplot(data = gss, aes(x = age, y =income, color = sex)) +
geom_point() +
labs(title = "Gender distribution",
x = "Gender",
y = "Number of respondent",
caption = "CDAM expert, 2025") +
theme_classic() +
theme(plot.title = element_text(hjust = 0.5))
p2 = ggplot(data= gss, aes(x = sex)) +
geom_bar(fill = "red") +
labs(title = "Gender Distribution",
x = "Gender",
y = "No. of respondent") +
theme_classic()
p3 = ggplot(data = gss, aes(x = sex, y = income)) +
geom_boxplot(fill = "purple") +
labs(title = "Income by Gender",
x = "Gender",
y = "Income") +
theme_bw()
combine <- (p1| p2 | p3) +
plot_annotation(title = "Combined Plots Example")
# Load required libraries
library(gganimate)
p4 = ggplot(gss, aes(x = degree)) +
geom_bar(fill = "red") +
labs(title = "Gender Distribution",
x = "degree",
y = "No. of respondent") +
theme_classic()
# Add animation with gganimate
animated_plot <- p4 +
transition_time (age) + # Animate over 'time' variable
ease_aes('linear') # Smooth linear transitions
# Save or display animation
anim_save("Bar_chart.gif", animation = animated_plot) # Save as GIF
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Encoding to gif... done!
# Load the libraries
library(tm)
library(wordcloud)
library(ggplot2)
# Sample text data
docs <- Corpus(VectorSource(c("Data visualization is an essential skill for analysts.",
"Text mining techniques help derive insights from text data.",
"Word clouds and bar charts are popular text visualization methods.")))
#Text preprocessing
docs <- tm_map(docs, content_transformer(tolower)) # Convert to lowercase
docs <- tm_map(docs, removePunctuation) # Remove punctuation
docs <- tm_map(docs, removeNumbers) # Remove numbers
docs <- tm_map(docs, removeWords, stopwords("en")) # Remove stopwords
docs <- tm_map(corpus, stripWhitespace) # Remove extra whitespace
Error: object 'corpus' not found
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```r
custom_colors <- c(\#FF5733\, \#33FF57\, \#3357FF\, \#F3FF33\, \#FF33F3\, \#33FFF6\, \#FFA500\, \#800080\)
wordcloud(words = df$word,
freq = df$freq,
min.freq = 1,
max.words=100,
random.order=FALSE,
colors = custom_colors)
```
<!-- rnb-source-end -->
```r
custom_colors <- c(\#FF5733\, \#33FF57\, \#3357FF\, \#F3FF33\, \#FF33F3\, \#33FFF6\, \#FFA500\, \#800080\)
wordcloud(words = df$word,
freq = df$freq,
min.freq = 1,
max.words=100,
random.order=FALSE,
colors = custom_colors)
<!-- rnb-source-end -->
<!-- rnb-output-end -->
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<img src=:image/png;base64
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\" 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" />
<!-- rnb-plot-end -->
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
# Bar chart visualization
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-output-begin 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 -->
ggplot(df[1:10,], aes(x = reorder(word, freq), y = freq, fill = word)) +
geom_bar(stat = \identity\) +
coord_flip() +
theme_minimal() +
labs(title = \Top Words in Text Data\, x = \Words\, y = \Frequency\)
<!-- rnb-output-end -->
<!-- rnb-output-begin 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 -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuZ2dwbG90KGRmWzE6MTAsXSwgYWVzKHggPSByZW9yZGVyKHdvcmQsIGZyZXEpLCB5ID0gZnJlcSwgZmlsbCA9IHdvcmQpKSArXG4gIGdlb21fYmFyKHN0YXQgPSBcXGlkZW50aXR5XFwpICtcbiAgY29vcmRfZmxpcCgpICtcbiAgdGhlbWVfbWluaW1hbCgpICtcbiAgbGFicyh0aXRsZSA9IFxcVG9wIFdvcmRzIGluIFRleHQgRGF0YVxcLCB4ID0gXFxXb3Jkc1xcLCB5ID0gXFxGcmVxdWVuY3lcXClcbmBgYFxuYGBgIn0= -->
```r
```r
ggplot(df[1:10,], aes(x = reorder(word, freq), y = freq, fill = word)) +
geom_bar(stat = \identity\) +
coord_flip() +
theme_minimal() +
labs(title = \Top Words in Text Data\, x = \Words\, y = \Frequency\)
```
```
<!-- rnb-source-end -->
<!-- rnb-output-end -->
<!-- rnb-output-begin eyJkYXRhIjoiXG48IS0tIHJuYi1wbG90LWJlZ2luIGV5Sm9aV2xuYUhRaU9qUXpNaTQyTXpJNUxDSjNhV1IwYUNJNk56QXdMQ0prY0draU9pMHhMQ0p6YVhwbFgySmxhR0YyYVc5eUlqb3dMQ0pqYjI1a2FYUnBiMjV6SWpwYlhYMD0gLS0+XG5cbjxpbWcgc3JjPVxcZGF0YTppbWFnZS9wbmc7YmFzZTY0XG4ifQ== -->
```
<!-- rnb-plot-begin eyJoZWlnaHQiOjQzMi42MzI5LCJ3aWR0aCI6NzAwLCJkcGkiOi0xLCJzaXplX2JlaGF2aW9yIjowLCJjb25kaXRpb25zIjpbXX0= -->
<img src=\data:image/png;base64
```
<!-- rnb-output-end -->
<!-- rnb-output-begin {"data":"\n<!-- rnb-plot-begin -->\n\n<img 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<!-- rnb-plot-begin -->
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src="data:image/png;base64,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" />
<!-- rnb-plot-end -->
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
# Cumulative Frequency Plot
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-output-begin 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 -->
word_df <- word_df %>%
mutate(cum_freq = cumsum(freq)/sum(freq))
ggplot(word_df, aes(x = reorder(word, -freq), y = cum_freq)) +
geom_line(group = 1, color = \blue\, size = 1) +
geom_point(size = 3) +
labs(title = \Cumulative Word Frequency\,
x = \Words\,
y = \Cumulative Frequency\) +
theme_minimal() +
theme(axis.text.x = element_text(angle = 45, hjust = 1))
````
```r
word_df <- word_df %>%
mutate(cum_freq = cumsum(freq)/sum(freq))
ggplot(word_df, aes(x = reorder(word, -freq), y = cum_freq)) +
geom_line(group = 1, color = \blue\, size = 1) +
geom_point(size = 3) +
labs(title = \Cumulative Word Frequency\,
x = \Words\,
y = \Cumulative Frequency\) +
theme_minimal() +
theme(axis.text.x = element_text(angle = 45, hjust = 1))
<!-- rnb-source-end -->
<!-- rnb-output-end -->
<!-- rnb-output-begin eyJkYXRhIjoiXG48IS0tIHJuYi1wbG90LWJlZ2luIGV5Sm9aV2xuYUhRaU9qUXpNaTQyTXpJNUxDSjNhV1IwYUNJNk56QXdMQ0prY0draU9pMHhMQ0p6YVhwbFgySmxhR0YyYVc5eUlqb3dMQ0pqYjI1a2FYUnBiMjV6SWpwYlhYMD0gLS0+XG5cbjxpbWcgc3JjPVxcZGF0YTppbWFnZS9wbmc7YmFzZTY0XG4ifQ== -->
<img src=:image/png;base64 ```