Week 3: Probability and Random Variables
Overview
This week we dive into the foundations of probability theory and begin exploring random variables. Understanding probability is essential for statistical inferenceβit provides the mathematical framework for quantifying uncertainty in biological and health sciences research.
Weβll begin with a motivating case study on disease screening, then build our understanding of probability from the ground up. Weβll explore how to calculate probabilities, understand independence vs. dependence, and work with conditional probabilities in medical contexts.
On Thursday, we will build on conditional probability, and explore Bayesβ Theorem and its critical applications in medical diagnostic testing. Youβll learn to calculate and interpret sensitivity, specificity, positive predictive value, and negative predictive valueβessential concepts for understanding screening tests.
π¨βπ« Lecture Slides Tuesday
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π¨βπ« Lecture Slides Thursday
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