Stats without Tears (2016)
brownmath.com
brownmath.com
DON’T PANIC!
Douglas Adams’ The Hitchhiker’s Guide to the Galaxy bore a “large, friendly label” with those words, and that’s also my message to you.
I don’t see any reason for students to be afraid of statistics. It’s no more difficult than any other technical course, and it’s much more practical than other math courses. The mathematical details are here for those who want them, but I lean heavily on technology to relieve students of the “grunt work”.
I did my PhD in Physics, and I've found it's very easy to become overwhelmed by a new field of math, physics, or even a large new code base.
But eventually after you bang your head enough on the math or the code base you realise it's not nearly as hard as you first thought.
Everything comes down to a large number of small steps. Each baby step makes sense on its own, like each single line of code.
But the feeling of being overwhelmed can cause panic and anxiety, leading people to lose their confidence that they can understand the new baby steps present in whatever they're looking at.
When I was a TA back in my PhD, I would sometimes tell my students that studying physics is like jumping off the Empire State Building. If you try it in one big jump it's likely to end in disaster, but if you break the 1000 foot height into 2000 steps you can easily get down to ground level.
Unfortunately some sub-par professors and teachers, or poor text books, can exacerbate this feeling of inadequacy by resorting to complicated definitions or explanations when simpler ones would suffice. Sometimes I think it's people wanting to sound smart and toot their own horns, other times it's just poor communication.
In my country, it is taught to freshmen and it uses the Central Limit Theorem all the time. That theorem is deep and hard to prove so student are forced to take it at face value. Other math courses do not work like that.
This is done precisely because statistics is so useful.
- Wasserman's All of Statistics? (which I haven't read/worked on)
- Downey's Think Stats and Think Bayes? (which I've read in bits and pieces and have found amazing)
- Any other well known Stats or Probability text?
Strength of this book seems to be that it is very approachable in a "plain english" kind of a way. This is the first time I have seen it and I'm looking forward to reading it.
Strength of _All of Statistics_ is that it is fast-paced and approachable even though it is essentially a math textbook. You only need a bit of algebra to make sense of it. That book exudes the feeling that the author wants to get through all this theory as quickly as possible to move onto other exciting things. (_All of Nonparametric Statistics_ by the same author is actually less approachable and shouldn't be taken as a simplified "the good bits" subset.)
The stats book that I have had the most value out of is _Statistical Modeling: A Fresh Approach_. It's fundamentally about making sense of different kinds of data using a computer. http://www.mosaic-web.org/go/StatisticalModeling/
References TI-83 or TI-84 feel dated.
Now I feel dated. I think there are a few of these still circulating through the younger branches of my family.
Yeah ... you would not believe how entrenched these are. Mobile phones are not allowed during testing, so they just stick with old faithful.
Also look up the current prices for TI-84s ... it is ridiculous considering the worlds current status with hardware.
I know that there are people who do well in all categories, but expecting that all Free texts will have such authors means expecting that there will be few such texts.
There needs to be a way for people who have skills in such areas, and who believe in a project, to get together.