@Honcia13: What often discourages people from learning statistics and probability theory is not the knowledge itself. It's the screens full of formulas, abstract concepts, and long derivations. Many people end up not being unable to calculate, but not understanding what these concepts are really about. If you want to truly "see" probability and statistics, try this website: Seeing Theory...
Summary
Recommend an interactive visualization website called Seeing Theory to help users intuitively understand core concepts of probability and statistics, covering basic probability, distributions, inference, regression, etc., suitable for beginners and those reviewing.
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Learning statistics and probability theory is often discouraging not because of the knowledge itself, but due to the overwhelming formulas, abstract concepts, and lengthy derivations.
Many people end up not being able to calculate, but rather not understanding what these concepts actually mean.
If you want to truly “see” probability and statistics, try this website:
Seeing Theory.
It uses high-quality interactive animations to visualize core concepts in statistics.
Instead of memorizing formulas, you get to directly see how probability, distributions, inference, and regression change.
Learning address:
http://seeing-theory.brown.edu/cn.html
Content coverage:
- Basic Probability
Core concepts such as random events, expectation, and variance. - Advanced Probability
Set theory, classical probability, conditional probability. - Probability Distributions
Random variables, discrete distributions, continuous distributions, central limit theorem. - Frequentist Inference
Point estimation, confidence intervals, bootstrap. - Bayesian Inference
Bayes’ theorem, likelihood, prior and posterior. - Regression Analysis
Least squares, correlation, analysis of variance.
The site is available in Chinese, and also provides downloadable PDF textbooks.
Suitable for:
- Introduction to statistics
- Review of probability theory
- Foundational learning for data analysis
- Supplemental knowledge for machine learning prerequisites
- Anyone who doesn’t want to rely solely on formulas
In one sentence:
If you think probability and statistics are too abstract, it’s not that you’re not suited to learn them — you just might not have “seen” them yet.
Seeing Theory
Source: https://seeing-theory.brown.edu/cn.html
Chapter 3
Probability Distributions
Probability distributions describe the probabilities of all possible events.
Go to Probability Distributions (https://seeing-theory.brown.edu/probability-distributions/cn.html)
Chapter 6
Regression Analysis
Regression analysis is a method for building a linear model between two variables.
Go to Regression Analysis (https://seeing-theory.brown.edu/regression-analysis/cn.html)
We are compiling Seeing Theory content into a book. Click the link below to download the latest English version. Feedback is welcome (http://seeingtheory.civicomment.org/seeing-theory-notes).
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