Topic 2 - Probability Theory, Distributions, Inference
  • Lectures
    • Lecture 4: Sample Spaces and Counting
    • Lecture 5: Expectations / Variances / Discrete Distributions
    • Lecture 6: Continuous Distributions
    • Lecture 7: Central Limit Theorem and Sampling Distribution
    • Lecture 8: Confidence Intervals and Hypothesis Tests
    • Lecture 9: Classical Test Statistics
    • Lecture 10: Numerical Inference
  • Labs
    • Lab 4: Sample Spaces and Counting
    • Lab 5: Playing With (Mostly) Discrete Distributions
    • Lab 6: Earthquakes, Volcanoes and the Central Limit Theorem
    • Lab 7: Tacks and Tests - Z, F, and T

Lecture 7: Central Limit Theorem and Sampling Distributions

BIOL709 / Winter 2018

(click here for pdf versions of lectures)

I. Central Limit Theorem

Coin flips

Free throws

Binomial looks normal?

Other distributions

CLT Version 1 (of sums)

CLT Version 2 (of sample means)

II. Sampling Distributions

Definitions

Estimating the Mean

Estimating the variance

Shaq demonstrates these principles