Fundamentals of Probability and Statistic in R
Description
This course introduces the foundational data science tools and techniques, including basic probability theory and statistics. A variety of exploratory data analysis techniques will be covered, including numeric summary statistics and basic data visualization. Students will be guided through installing and using R and R-Studio, a free software used in data analysis. This course is presented for beginners who want to start and complete the foundational part of data science, before moving onto the more advanced topics in Statistics and Machine Learning.
Introduction to R [2]
R fundamentals
Arithmetic with R
Numerical Data Handling: Vectors and Matrices
Categorical Data Handling
Data frames and Lists
Data Visualization in R [3]
Basis R graphics
Different plot types
Bivariate data visualization
Descriptive Statistics using R [3]
Exploring Categorical Data
Exploring Numerical Data
Numerical Summaries: Mean, Variance, Correlation
Introduction to probability [4]
Definition of probability
Conditional probability
Bayes’ rule
Independence of events
Random variable & Probability distributions [4]
Probability mass/density function
Distribution function
Expectation and Variance
Discrete distribution: Binomial
Continuous distribution: Normal
Joint distribution [4]
Bivariate distribution
Independence of random variables
Covariance and correlation
Course Schedule
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