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Introduction to Modern Statistics

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Re: Introduction to Modern Statistics

#111

Earlier quoted context omitted.

I've found the book indeed - although it seems to be the first edition. It's here: https://civil.colorado.edu/~balajir/CVEN6833/bayes-resources...

With all due respect, how hard did you look? This is the third result from a query I ran: https://github.com/Booleans/statistical-rethinking/blob/mast... Main repo w/ some notebooks: https://github.com/Booleans/statistical-rethinking

Thanks !

Re: Introduction to Modern Statistics

#112
post #85
post #53

As much as I appreciate and love all pedagogical endeavours in the field, especially in the form of open texts, I really, really, really dislike this overall approach to teaching introductory statistics. I'm hoping to see, over time, a shift away from ad-hoc null hypothesis testing in favour of linear models (yes, in introductory courses, from the start-- see link below) and Bayesian-by-default approaches. https://li…

> I'm hoping to see, over time, a shift away from ad-hoc null hypothesis testing in favour of linear models (yes, in introductory courses, from the start-- see link below) and Bayesian-by-default approaches. Is there anything where I can start today, as a guinea pig? My statistics education is basically zero.

There's this great series of lectures I watched during my intro to statistics and probability course: https://youtube.com/playlist?list=PLQfiOKXnQpw_l0rbiV_QW8lwl...

It goes over Bayes' Theorem early on, which I assume is Bayesian-by-default. I didn't realize this isn't universal.

I watched it because my professor seemed to be teaching from the same textbook, so it followed the same general course structure. The textbook we used was "Probability and Statistics for Engineering and the Sciences — 9th edition". You can find a PDF of the eighth edition just by googling the name.

You could probably follow along just by taking notes during the video lectures, but if you want to give yourself homework, the textbook provides a lot of practice problems.

Re: Introduction to Modern Statistics

#113
post #91

Anyone looking to apply and compare frequentist and bayesian methods within a unified GUI (which is essentially an elegant wrapper to R and selected/custom statistical packages), should check out JASP developed by the University of Amsterdam [0]. It's free to use, and the graphs + captions generated during each step are publication quality right out of the box. Using it truly feels like a 'fresh way' to do statistics…

How does this compare to other stat libraries?

I'd say in the free to use/FOSS category there are couple of contenders here: R Studio & co, Jamovi, Stenci.la, KNIME, PSPP and Quarto.

R Studio for the uncompromised R language integration.

Jamovi for the clean interface and simple to use analyses and workflows.

Stenci.la for the multiple language notebook paradigm.

KNIME for the node based interface and workflow productionisation.

PSPP for the 'same but different' SPSS interface and feature set.

Quarto for the 'analysis as publication' approach, reactive notebooks and custom integrations.

Myself I often opt for BigQuery + Javascript stat libraries, which is free insofar you remain within the sandbox mode.

Re: Introduction to Modern Statistics

#115
post #4

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

A good introductory book is this one: "The Statistical Sleuth. A Course in Methods of Data Analysis" (3rd Edition) by Fred Ramsey and Daniel Schafer http://www.statisticalsleuth.com/>.

Another good book at a more advanced level is this one: "Regression and Other Stories" by Andrew Gelman and Jennifer Hill http://www.stat.columbia.edu/~gelman/arm/>.

Another good book at an even more advanced level is this one: "Data Analysis Using Regression and Multilevel/Hierarchical Models" by Andrew Gelman and Jennifer Hill http://www.stat.columbia.edu/~gelman/arm/>.

These books are all very polished productions. What make makes them special is that they emphasis teaching the statistical way of thinking.

Re: Introduction to Modern Statistics

#116
post #31
post #27

Earlier quoted context omitted.

There is also Brillant that has a very polished interactive course: https://brilliant.org/courses/statistics/

These things are great if they add value for you, but I would be very skeptical of any non-mathematical approach to statistics. I think statistics is only made clear by mathematics, much the same as Physics. And one cannot grasp statistics without being able to understand the maths. I think that still the best way to understand statistics is to start with the mathematical theory and to grind 1000+ textbook problems.

I was introduced to statistics with the mathematical approach, and it failed to help me understand why things were the way they were, due to the lack of context and application.

Later I re-learned it in an applied way, and things made much more sense to me.

(That's fine if you liked learning it your way, but that's no reason to be skeptical about other approaches.)

Re: Introduction to Modern Statistics

#117

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 situa…

Hey i recognized you from the Scala doodle project! that and the other stuff from Underscore was a really cool way to learn Scala & FP, thank you :)

Re: Introduction to Modern Statistics

#118

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 situa…

Hey i recognized you from the Scala doodle project! that and the other stuff from Underscore was a really cool way to learn Scala & FP, thank you :)

That's very random but very cool! I'm glad the books were useful to you :-) This post was actually motivated by my wanting to write some material on data science, wondering what the modern approach to teaching it is, and falling down a rabbit hole.

Re: Introduction to Modern Statistics

#119

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 situa…

I think a common way to teach classical statistics is to start with a binomial test. The binomial distribution is quite concrete so the students can hopefully grasp the concept of p-value. Then things become more abstract with the normal, T distribution, etc. and cookbook of when to use what...

Re: Introduction to Modern Statistics

#120
post #56
post #53

As much as I appreciate and love all pedagogical endeavours in the field, especially in the form of open texts, I really, really, really dislike this overall approach to teaching introductory statistics. I'm hoping to see, over time, a shift away from ad-hoc null hypothesis testing in favour of linear models (yes, in introductory courses, from the start-- see link below) and Bayesian-by-default approaches. https://li…

I am partway through McElreath's "Statistical Rethinking" and I fully agree with this.

If you're starting out on statistical rethinking, be sure to check out recoded [0]: a reimplementation of statistical rethinkings exercises using tidyverse, ggplot and brms instead of McElreath's own package. These tools are standard and well worth learning on their own, and they're also more documented than the package made by McElreath.

[0] https://bookdown.org/ajkurz/Statistical_Rethinking_recoded/

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