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advanced_tools:statistics

For many extremely illuminating visualizations, see http://students.brown.edu/seeing-theory/

Probabilityis starting with an animal, and figuring out what footprints it will makeStatisticsis seeing a footprint, and guessing the animal.Probability is straightforward: you have the bear. Measure the foot size, the leg length, and you can deduce the footprints. "Oh, Mr. Bubbles weighs 400lbs and has 3-foot legs, and will make tracks like this." More academically: "We have a fair coin. After 10 flips, here are the possible outcomes."

Statistics is harder. We measure the footprints and have to guess what animal it could be. A bear? A human? If we get 6 heads and 4 tails, what're the chances of a fair coin?#

A Brief Introduction to Probability & Statistics by Kalid Azad

** Important related concepts:**

Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.

**Recommended Reading:**

- A Brief Introduction to Probability & Statistics by Kalid Azad
- Introduction to the concept of likelihood and its applications by Alexander Etz
- What is Statistical Significance? by Tommaso Dorigo
- Stats without Tears by Stan Brown (free online textbook)
- Statistics: (for Bayesian) Statistical Rethinking - A Bayesian Course with Examples in R and Stan - by McElreath
- DISCOVERING THE SIGNIFICANCE OF 5σ Louis Lyons

- Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods by Olaf Behnke et. al.
- Statistical tests, P values, confidence intervals, and power: a guide to misinterpretations by Sander Greenland et. al.

- Probability Theory as Extended Logic Edwin T. Jaynes - Washington University website
- Probability Theory: The Logic of Science by Edwin T. Jaynes

- Example1

- Example2:

**Contributing authors:**

Jakob Schwichtenberg
Paul C. Gowan

advanced_tools/statistics.txt · Last modified: 2022/09/07 01:21 by laserblue

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