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advanced_tools:statistics [2017/12/16 13:26] jakobadmin [Why is it interesting?] |
advanced_tools:statistics [2019/02/05 15:49] 2a00:1398:200:202:d9e3:d9c2:f063:429c [Researcher] |
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<tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
+ | For many extremely illuminating visualizations, see http://students.brown.edu/seeing-theory/ | ||
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+ | <blockquote> | ||
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+ | * **Probability** is starting with an animal, and figuring out what footprints it will make | ||
+ | * **Statistics** is seeing a footprint, and guessing the animal. | ||
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+ | 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." | ||
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+ | 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?# | ||
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+ | <cite>[[https://betterexplained.com/articles/a-brief-introduction-to-probability-statistics/|A Brief Introduction to Probability & Statistics]] by Kalid Azad</cite> | ||
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+ | </blockquote> | ||
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**Recommended Reading:** | **Recommended Reading:** | ||
+ | * [[https://betterexplained.com/articles/a-brief-introduction-to-probability-statistics/|A Brief Introduction to Probability & Statistics]] by Kalid Azad | ||
* [[https://psyarxiv.com/85ywt|Introduction to the concept of likelihood and its applications]] by Alexander Etz | * [[https://psyarxiv.com/85ywt|Introduction to the concept of likelihood and its applications]] by Alexander Etz | ||
* [[https://amva4newphysics.wordpress.com/2017/10/21/what-is-statistical-significance/|What is Statistical Significance?]] by Tommaso Dorigo | * [[https://amva4newphysics.wordpress.com/2017/10/21/what-is-statistical-significance/|What is Statistical Significance?]] by Tommaso Dorigo | ||
* http://www.science20.com/tommaso_dorigo/decision_trees_explained_to_kids-224948 | * http://www.science20.com/tommaso_dorigo/decision_trees_explained_to_kids-224948 | ||
+ | * [[https://brownmath.com/swt/|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 | ||
+ | * [[https://arxiv.org/pdf/1310.1284.pdf|DISCOVERING THE SIGNIFICANCE OF 5σ]] Louis Lyons | ||
<tabbox Researcher> | <tabbox Researcher> | ||
* Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods by Olaf Behnke et. al. | * Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods by Olaf Behnke et. al. | ||
- | + | *[[https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4877414/| Statistical tests, P values, confidence intervals, and power: a guide to misinterpretations]] by Sander Greenland et. al. | |
- | --> Common Question 1# | + | |
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- | --> Common Question 2# | + | |
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<tabbox Examples> | <tabbox Examples> |