Description

This statistics and data analysis course will pave the statistical foundation for our discussion on data science.

You will learn how data scientists exercise statistical thinking in designing data collection, derive insights from visualizing data, obtain supporting evidence for data-based decisions and construct models for predicting future trends from data.

Syllabus

Week 1 – Introduction to Data Science

Week 2 – Statistical Thinking

• Examples of Statistical Thinking
• Numerical Data, Summary Statistics
• From Population to Sampled Data
• Different Types of Biases
• Introduction to Probability
• Introduction to Statistical Inference

Week 3 – Statistical Thinking 2

• Association and Dependence
• Association and Causation
• Conditional Probability and Bayes Rule
• Simpsons Paradox, Confounding
• Introduction to Linear Regression
• Special Regression Models

Week 4 – Exploratory Data Analysis and Visualization

• Goals of statistical graphics and data visualization
• Graphs of Data
• Graphs of Fitted Models
• Graphs to Check Fitted Models
• What makes a good graph?
• Principles of graphics

Week 5 – Introduction to Bayesian Modeling

• Bayesian inference: combining models and data in a forecasting problem
• Bayesian hierarchical modeling for studying public opinion
• Bayesian modeling for Big Data