TECH3 Applied statistics
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Module 5: Measuring relationships and fitting models
Simpson’s paradox
Module 1: Summarizing and visualizing data
Introduction
Textbook
Statistical Thinking
Working with data
Summarizing data
Summary statistics
Data visualization principles
Plotting tools
Idealised representations
Gapminder example of good visualization
Exercises
Module 2: Probability, random variables, probability distributions and simulations.
Introduction
Textbook
What is probability?
Basic concepts in probability
Basic probability rules
Conditional probability
Independent events
Bayes rule
Discrete random variables and distributions
Expectation and variance of discrete random variables
Exercises
Module 3: Estimation, sampling distributions and resampling
Introduction
Textbook
Population vs sample
What is a model?
Sampling error and distribution
Central Limit Theorem
What is an estimator?
Maximum likelihood
Random number generation
Monte Carlo simulation
Bootstrap
Exercises
Module 4: Designing studies, hypothesis testing, and quantifying effects
Introduction
Textbook
Hypothesis testing
Videos
Exercises
Module 5: Measuring relationships and fitting models
Introduction
Textbook
Modeling categorical relationships
Contingency tables
Simpson’s paradox
Modeling continuous relationships: Correlation
Correlation and causation
Linear regression
Assessing the model
Prediction models
Logistic regression
Exercises
On this page
Simpson’s paradox
Control questions:
Another video on Simpson’s paradox
Module 5: Measuring relationships and fitting models
Simpson’s paradox
Simpson’s paradox
Slides for
“Simpson’s paradox”
Control questions:
What is Simpson’s paradox?
How does it occur?
Another video on Simpson’s paradox
Contingency tables
Modeling continuous relationships: Correlation