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Introduction to Modern Statistics

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Re: Introduction to Modern Statistics

#2
Statistics education is undergoing a bit of a revolution, driven by the accessibility of computers. For example, hypothesis testing is introduced by randomization[1], using a randomized permutation test[2]. I find this really easy to understand, compared to how I learned statistics using a more traditional approach. The traditional approach taught be a cookbook of hypothesis tests to use: use the t-test in this situation, use the chi-squared in this situation, and so on. I never gained any understanding of why I should use these different tests, or where they came from, from the cookbook approach.

For the same approach in a slightly different context see [3].

[1]: https://openintro-ims2.netlify.app/11-foundations-randomizat...

[2]: https://en.wikipedia.org/wiki/Permutation_test

[3]: https://inferentialthinking.com/chapters/11/1/Assessing_a_Mo...

Re: Introduction to Modern Statistics

#5
post #4

What is a good book on statistics that one can use for self-learning?

Depends where you are starting from and what you want to learn. The linked book is a first year introduction, and does a good job of that. If you want to go further there are many other options:

* Statistical Inference by Casella and Berger. This book has a very good reputation for building statistics from first principles. I won't link to them, but you can find full PDF scans online with a simple search. Amazon reviews: https://www.amazon.com/Statistical-Inference-Roger-Berger/dp...

* Statistics by Freedman, Pisani, and Purves has similarly very good reviews and can be easily found online. Amazon reviews: https://www.amazon.com/Statistics-Fourth-David-Freedman-eboo...

* The majority of the Berkeley data science core curriculum books are online. This is not purely statistics but 1) is taught in a modern style that makes use of computation and randomization and 2) uses tools that may be useful to learn about.

1. https://inferentialthinking.com/chapters/intro.html (Data 8)

2. https://learningds.org/intro.html (Data 100)

3. http://prob140.org/textbook/content/README.html (Data 140)

4. https://data102.org/fa23/resources/#textbooks-from-previous-... (Data 102; this gets into machine learning and pure statistics)

The Berkeley curriculum is not the only one; there are tens, possibly hundreds, of online courses. The Berkeley curriculum is just 1) quite extensive and 2) the one I happened to read the most about when I was recently researching how data science is currently taught.

Re: Introduction to Modern Statistics

#6
post #3

Very excited to see Mine Çetinkaya-Rundel is an author here! Many might be familiar with “R for Data Science” ( https://r4ds.had.co.nz/ ), to which she is a contributor, but she’s also published a lot of great papers around teaching data science.

She also has some online courses on Coursera (https://www.coursera.org/instructor/minecetinkayarundel). Hands down one of the best instructors I have seen.

Re: Introduction to Modern Statistics

#7
post #4

What is a good book on statistics that one can use for self-learning?

I particularly like Statistical Inference by George Casella and Roger Lee Berger.

You could also look at Introduction to Probability by Joseph K. Blitzstein and Jessica Hwang (available for free here: http://probabilitybook.net (redirects to drive)).

Re: Introduction to Modern Statistics

#10
post #4

What is a good book on statistics that one can use for self-learning?

I like statistical rethinking. It’s targeted at science phd students so the focus is “how can you use statistics for testing your scientific hypotheses and trying to tease out causation”. It doesn’t go deep into the mathematics of things (though expects readers to be decently numerate and comfortable analysing data without statistics). It only really talks about Bayesian models and how to fit them by computer, so won’t cover much of the frequenting side of things at all.
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