R Programming & Statistics Notes
1
Probability
1.1
Basics
1.1.1
Simulations
1.1.2
Birthday Problem
1.1.3
Exercises
1.2
Random Variables
1.2.1
Special Discrete Random Variables
1.2.2
Special Continuous Random Variables
1.2.3
Expected Value of A Function of An RV: Variance
1.2.4
Simulation of RVs
1.2.4.1
Estimating Discrete Distributions
1.2.4.2
Estimating Continuous Distributions
1.2.5
Probability Distributions
1.2.5.1
Poisson Distribution
1.2.5.2
Sampling Distributions
1.2.5.3
Exercises
2
Data
2.1
Data Structures
2.1.1
Vectors
2.1.1.1
Augmented Vectors
2.1.1.2
Using Atomic Vectors
2.1.2
Lists and Matrices
2.1.3
Arrays
2.1.4
Data Frames
2.1.5
Exercises
2.2
Data Manipulation
2.2.1
dplyr Package
2.2.1.1
Exercises
2.2.2
Subsetting
2.2.3
Reading-Writing Files
2.2.3.1
Exercises
3
Functions
3.1
Loop Functions
3.1.1
Exercises
4
Visualization
4.1
Base Packages
4.1.1
Exercises
4.2
ggplot2
4.2.1
Exercises
5
Statistics
5.1
Descriptive Statistics
5.1.1
Measures of Central Tendency
5.1.2
Measures of Variability
5.1.3
Correlations
5.1.4
Handling Missing Values
5.1.5
Exercises
5.2
Exploratory Data Analysis
5.2.1
Exercises
5.3
Bayesian Statistics
6
Statistical Inference
6.1
HT and CIs For the Mean
6.1.1
Hypothesis Testing
6.1.1.1
Exercises
6.1.2
Simulation Case Studies
6.1.3
Exercises
6.2
Regression-Modelling
6.2.1
Simple Linear Regression
6.2.1.1
Exercises
6.2.2
Multiple Linear Regression
6.2.2.1
Exercises
6.2.3
ANOVA
6.2.3.1
Exercises
6.2.4
Logistic Regression
6.2.4.1
Exercises
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R Programming & Statistics Notes
Chapter 2.2
Data Manipulation