What can you do with Probability and Statistics?

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Discussion Overview

The discussion revolves around the applications of probability and statistics in the fields of physics and chemistry, particularly from the perspective of a high school student preparing to take a course in these subjects. Participants explore both practical and theoretical implications of these mathematical tools in scientific contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that knowledge of probability and statistics can help in critically evaluating statistics presented in media, as many may be misinterpreted.
  • There is a notion that internalizing statistical mechanisms can aid in developing mental models for predicting outcomes, potentially leading to better decision-making.
  • Understanding probability and statistics may enhance comprehension of risks in systems like the stock market, although it may not lead to becoming a quantitative analyst.
  • One participant emphasizes the importance of statistics in interpreting experimental results, noting that measurements are less meaningful without understanding their accuracy and error.
  • Statistical mechanics and quantum mechanics are mentioned as areas in physics that utilize probability theory, with a suggestion that statistical mechanics involves more advanced concepts.
  • Basic topics such as counting, combinatorics, and general distributions are highlighted as foundational elements that frequently arise in various scientific areas.

Areas of Agreement / Disagreement

Participants express varying interests in the applications of probability and statistics, with some focusing on practical implications in everyday life and others seeking pure scientific applications. The discussion does not reach a consensus on the specific applications within a pure-science context.

Contextual Notes

There are limitations in the discussion regarding the depth of statistical concepts and their applications in different scientific fields, as well as the varying levels of understanding among participants.

zyj
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I'm a high-school/dual-enrolled CC student, and in the fall, I plan to take a Prob/Stat class that has multivariable calculus as a co-requisite (I'll probably do its sequel class in the spring as well). What exactly can you do in Physics or Chemistry with knowledge of Prob/Stat?
 
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1) You can realize that almost any statistic you see in the news is crap such that it is almost guaranteed to be misinterpreted.

2) If you really dig in you can internalize some of the mechanisms of statistics and use them to build mental models of probability in your head and better predict outcomes in a sense that might help you make better decisions to begin with.

3) You will better understand how the world around you operates and what the risks are in systems like the stock market. It won't make you a quant but it will help provide some intuition about these systems.

A good community online that I recommend with a grain of salt is lesswrong.com. They try to apply bayesian probability theory to daily life among other things along that train of thought. I say a grain of salt because they are almost worshipers of that model of the world even though it is not the only way to look at the world.
 
oddjobmj said:
1) You can realize that almost any statistic you see in the news is crap such that it is almost guaranteed to be misinterpreted.

2) If you really dig in you can internalize some of the mechanisms of statistics and use them to build mental models of probability in your head and better predict outcomes in a sense that might help you make better decisions to begin with.

3) You will better understand how the world around you operates and what the risks are in systems like the stock market. It won't make you a quant but it will help provide some intuition about these systems.

A good community online that I recommend with a grain of salt is lesswrong.com. They try to apply bayesian probability theory to daily life among other things along that train of thought. I say a grain of salt because they are almost worshipers of that model of the world even though it is not the only way to look at the world.

I understand that (and maybe I should've been more clear), but I was more interested in like what can you do with it in like a pure-science context.
 
zyj said:
I understand that (and maybe I should've been more clear), but I was more interested in like what can you do with it in like a pure-science context.
Statistical Mechanics and Quantum Mechanics both make use of probability theory. Statistical mechanics make use of more advanced probability theory, as far as I know.

Statistics is hugely important to interpreting the results of an experiment. A measurement is pretty useless if you don't know the accuracy and error that come along with it.

And, in a first probability course you will likely learn about counting/combinatorics and just general distributions and those just come up a lot in all types of areas.
 

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