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advanced_tools:statistics [2017/10/23 11:25]
jakobadmin [Student]
advanced_tools:statistics [2022/09/07 01:21] (current)
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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/​
 +
 +----
 +
 +<​blockquote>​
 +
 +  * **Probability** is starting with an animal, and figuring out what footprints it will make
 +  * **Statistics** is 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?#
 +
 +<​cite>​[[https://​betterexplained.com/​articles/​a-brief-introduction-to-probability-statistics/​|A Brief Introduction to Probability & Statistics]] by Kalid Azad</​cite>​
 +
 +
 +</​blockquote>​
 +
 +----
  
 ** Important related concepts:** ** Important related concepts:**
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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
 +  * [[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> ​
  
-<note tip> +  * Data Analysis ​in High Energy Physics: A Practical Guide to Statistical Methods ​ by Olaf Behnke et. al.  
-The motto in this section is: //the higher the level of abstraction,​ the better//+  *[[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.
-</note>+
  
---> Common Question 1# +  *[[https://​bayes.wustl.edu/​|Probability Theory as Extended Logic]] Edwin T. Jaynes ​Washington University website 
- +  ​*[[https://​www.amazon.com/​exec/​obidos/​tg/​detail/​-/​0521592712/​qid=1055853130/​sr=8-1/​ref=sr_8_1/​103-5027289-6942223?​v=glance&​s=books&​n=507846| Probability Theory: The Logic of Science]] by Edwin T. Jaynes
-  +
-<-- +
- +
---> Common Question 2# +
- +
-  +
-<--+
   ​   ​
 <tabbox Examples> ​ <tabbox Examples> ​
advanced_tools/statistics.1508750743.txt.gz · Last modified: 2017/12/04 08:01 (external edit)