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Learn By Example: Statistics and Data Science in R

Video Introducing this tutorial

You, This course and Us
Top Down vs Bottoms Up : The Google vs McKinsey way of looking at data
R and RStudio installed
Descriptive Statistics: Mean, Median, Mode
Our first foray into R: Frequency Distributions
Draw your first plot: A Histogram
Computing Mean, Median, Mode in R
What is IQR (Inter-quartile Range)?
Box and Whisker Plots
The Standard Deviation
Computing IQR and Standard Deviation in R
Drawing inferences from data
Random Variables are ubiquitous
The Normal Probability Distribution
Sampling is like fishing
Sample Statistics and Sampling Distributions
Case Study 1: Football Players (Estimating Population Mean from a Sample)
Case Study 2: Election Polling (Estimating Population Proportion from a Sample)
Case Study 3: A Medical Study (Hypothesis Test for the Population Mean)
Case Study 4: Employee Behaviour (Hypothesis Test for the Population Proportion)
Case Study 5: A/B Testing (Comparing the means of two populations)
Case Study 6: Customer Analysis (Comparing the proportions of 2 populations)
Harnessing the power of R
Assigning Variables
Printing an output
Numbers are of type numeric
Characters and Dates
Data Structures are the building blocks of R
Creating a Vector
The Mode of a Vector
Vectors are Atomic
Doing something with each element of a Vector
Aggregating Vectors
Operations between vectors of the same length
Operations between vectors of different length
Generating Sequences
Using conditions with Vectors
Find the lengths of multiple strings using Vectors
Generate a complex sequence (using recycling)
Vector Indexing (using numbers)
Vector Indexing (using conditions)
Vector Indexing (using names)
Creating an Array
Indexing an Array
Operations between 2 Arrays
Operations between an Array and a Vector
Outer Products
A Matrix is a 2-Dimensional Array
Creating a Matrix
Matrix Multiplication
Merging Matrices
Solving a set of linear equations
What is a factor?
Find the distinct values in a dataset (using factors)
Replace the levels of a factor
Aggregate factors with table()
Aggregate factors with tapply()
Introducing Lists
Introducing Data Frames
Reading Data from files
Indexing a Data Frame
Aggregating and Sorting a Data Frame
Merging Data Frames
Introducing Regression
What is Linear Regression?
A Regression Case Study : The Capital Asset Pricing Model (CAPM)
Linear Regression in Excel : Preparing the data
Linear Regression in Excel : Using LINEST()
Linear Regression in R : Preparing the data
Linear Regression in R : lm() and summary()
Multiple Linear Regression
Adding Categorical Variables to a linear model
Robust Regression in R : rlm()
Parsing Regression Diagnostic Plots
Data Visualization
The plot() function in R
Control color palettes with RColorbrewer
Drawing barplots
Drawing a heatmap
Drawing a Scatterplot Matrix
Plot a line chart with ggplot2

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