unit 5 review
Data exploration techniques in R are essential for understanding and analyzing datasets effectively. This unit covers key concepts like data types, structures, and tidy data principles, providing a foundation for exploratory data analysis.
Students learn to import, clean, and manipulate data using various R functions and packages. The unit also delves into visualization tools, statistical analysis methods, and advanced data manipulation techniques, equipping learners with practical skills for real-world data analysis tasks.
Key Concepts and Terminology
- Data types in R include numeric, character, logical, and complex which define the kind of data that can be stored and manipulated
- Data structures encompass vectors, matrices, arrays, lists, and data frames each with unique properties and uses
- Tidy data principles ensure data is structured consistently with each variable in a column, each observation in a row, and each type of observational unit in a table
- Exploratory data analysis (EDA) involves summarizing main characteristics, detecting outliers, and identifying patterns through visual and quantitative methods
- Statistical analysis techniques range from descriptive statistics (mean, median, standard deviation) to inferential methods (hypothesis testing, regression analysis) for drawing conclusions from data
- Descriptive statistics provide a snapshot of key metrics and distributions within a dataset
- Inferential statistics allow generalizing findings from a sample to a larger population
- Data visualization leverages human visual perception to uncover insights and communicate findings through charts, plots, and interactive dashboards
- Literate programming combines analysis code, documentation, and outputs into a cohesive narrative enhancing reproducibility and collaboration
Data Types and Structures in R
- Vectors are one-dimensional data structures that hold elements of the same data type (numeric, character, logical)
- Create vectors with the
c() function such as num_vec <- c(1, 2, 3) for numeric or char_vec <- c("a", "b", "c") for character vectors
- Access vector elements using square bracket notation
[] with index positions starting at 1
- Matrices are two-dimensional structures with elements of the same data type arranged in rows and columns
- Construct matrices with the
matrix() function specifying data, number of rows, and number of columns
- Lists are flexible structures that can contain elements of different data types including other lists
- Create lists using the
list() function and access elements with double square bracket notation [[]] or the $ operator for named elements
- Data frames are two-dimensional structures similar to matrices but can have columns of different data types
- Build data frames with the
data.frame() function or by reading in external data files
- Manipulate data frames using functions from packages like dplyr for filtering, selecting, and transforming data
- Factors are special vectors used for categorical data with predefined levels that can be ordered or unordered
- Convert vectors to factors with the
factor() function and specify levels or let R infer them from unique values
Importing and Cleaning Data
- Read in data from various file formats such as CSV, TSV, Excel, or JSON using functions like
read.csv(), read.table(), read_excel(), or fromJSON()
- Specify arguments like file path, header presence, column separators, and data types as needed
- Handle missing data by removing incomplete cases with
na.omit() or imputing values using techniques like mean, median, or predictive modeling
- Reshape data between wide and long formats based on analysis requirements using functions like
pivot_longer() and pivot_wider() from the tidyr package
- Merge datasets horizontally (adding columns) or vertically (adding rows) using functions like
merge(), cbind(), and rbind()
- Ensure common identifier variables exist for accurate merging and handle mismatches or duplicates
- Perform data type conversions as needed using functions like
as.numeric(), as.character(), or as.Date() to ensure variables are in suitable formats for analysis
- Split and combine strings using functions from the stringr package such as
str_split(), str_sub(), and str_c() for text data processing tasks
Exploratory Data Analysis Techniques
- Compute summary statistics for numerical variables including measures of central tendency (mean, median) and dispersion (range, variance, standard deviation)
- Use functions like
mean(), median(), min(), max(), quantile(), and sd() to quickly summarize distributions
- Examine frequency distributions for categorical variables using tables or bar charts to identify dominant categories and potential imbalances
- Generate contingency tables with
table() or xtabs() and visualize with barplot() or ggplot2::geom_bar()
- Assess relationships between variables through correlation analysis for numerical data and contingency tables or mosaic plots for categorical data
- Calculate correlation coefficients with
cor() and create scatterplots with plot() or ggplot2::geom_point()
- Use
chisq.test() to assess independence between categorical variables and visualize with mosaicplot()
- Identify potential outliers or unusual observations that may influence analysis results using visual methods like boxplots or by calculating z-scores
- Utilize functional programming techniques with
apply() family of functions (apply(), lapply(), sapply()) to efficiently perform operations across data structures
- Create basic plots using the built-in graphics package including scatterplots (
plot()), line graphs (lines()), bar charts (barplot()), and histograms (hist())
- Customize plot appearance with arguments like
col, pch, lty, main, xlab, and ylab
- Utilize the ggplot2 package for advanced and layered visualizations following the grammar of graphics principles
- Begin with
ggplot() and add layers with geoms (geometric objects) like geom_point(), geom_line(), geom_bar(), and geom_histogram()
- Map variables to aesthetic attributes within
aes() such as x, y, color, fill, shape, or size
- Enhance plots with additional layers for labels (
labs()), themes (theme()), facets (facet_wrap(), facet_grid()), and statistical transformations (stat_summary(), stat_smooth())
- Employ interactive visualization packages like plotly or rbokeh for creating dynamic and interactive plots that allow zooming, panning, and hovering
- Generate geospatial visualizations using packages like leaflet or ggmap for creating interactive maps with markers, polygons, or heatmaps
- Produce publication-quality graphs by adjusting fonts, colors, legends, and overall layout to effectively communicate key findings
Statistical Analysis in R
- Perform hypothesis tests to assess relationships or differences between variables while accounting for sampling variability
- Conduct t-tests (
t.test()) for comparing means between two groups and ANOVA (aov()) for comparing means across multiple groups
- Employ chi-squared tests (
chisq.test()) for assessing independence between categorical variables
- Utilize correlation tests (
cor.test()) for examining relationships between numerical variables
- Construct confidence intervals to estimate population parameters based on sample statistics and desired confidence levels
- Fit regression models to predict outcomes or assess variable importance using functions like
lm() for linear regression or glm() for generalized linear models
- Interpret model coefficients, p-values, and goodness-of-fit metrics to draw conclusions and assess model performance
- Apply resampling techniques like bootstrapping (
boot package) or cross-validation (caret package) to assess model stability and generalization
- Conduct power analysis (
pwr package) to determine required sample sizes for detecting effects of interest with desired power levels
Advanced Data Manipulation
- Leverage the dplyr package for efficient data manipulation using a consistent grammar of data transformation functions
- Filter rows with
filter(), select columns with select(), create new variables with mutate(), and summarize data with summarize()
- Combine dplyr functions using the pipe operator (
%>%) for readable and sequential data processing workflows
- Perform data reshaping with the tidyr package to convert between wide and long formats based on analysis needs
- Use
pivot_longer() to convert wide data to long format and pivot_wider() to convert long data to wide format
- Handle missing data using techniques like complete case analysis (
na.omit()), imputation using tidyr::replace_na() or mice package, or advanced methods like multiple imputation
- Manipulate text data using string processing functions from the stringr package such as
str_sub(), str_split(), str_detect(), and str_replace()
- Iterate over data structures using loops (
for, while) or apply functions (apply(), lapply(), sapply()) for repetitive operations or function application
- Employ functional programming principles with purrr package for working with vectors and lists using functions like
map(), reduce(), and safely()
Practical Applications and Case Studies
- Analyze customer churn in a telecommunications company by exploring demographic and usage patterns, building predictive models, and identifying key drivers of churn
- Utilize dplyr for data preprocessing, ggplot2 for visualization, and caret for building and evaluating machine learning models
- Conduct market basket analysis on retail transaction data to uncover product associations and inform cross-selling strategies
- Employ the arules package for association rule mining and the arulesViz package for visualizing item sets and rules
- Perform sentiment analysis on social media data to assess brand perception and track sentiment over time
- Leverage the tidytext package for text data processing, the syuzhet package for sentiment scoring, and ggplot2 for visualizing sentiment trends
- Analyze time series data to forecast sales demand and optimize inventory management in a supply chain setting
- Utilize the forecast package for time series modeling, the lubridate package for handling date/time data, and ggplot2 for creating time series plots
- Conduct geospatial analysis to optimize delivery routes and identify optimal locations for new retail stores
- Employ packages like sf for spatial data handling, leaflet for interactive map creation, and the TSP package for solving the Traveling Salesman Problem
- Develop interactive dashboards using the flexdashboard package or Shiny framework to enable real-time monitoring and exploration of key performance metrics
- Integrate visualizations, tables, and interactive controls for a user-friendly and dynamic data presentation