Comments on: Stats 101: Chapter 2

By: Peter Gallagher

Peter Gallagher — Thu, 22 May 2008 13:20:57 +0000

Hi WB,

A typo, I believe. Page 23 line 8: A+ should be A-

Peter

By: Briggs

Briggs — Sat, 17 May 2008 20:03:47 +0000

I’m with you Richard, but I do not mean “understand” in the watered-down “tell me how the numbers feel” sense. I mean that you must know what it is you are doing when you say that a certain statement has a probability of being true.

Too often in statistics classes, routine memorization of confusing, ill-introduced, and mysterious formulas take the place of teaching students how to understand uncertainty.

Besides, as I hope to show, many of these formulae are ridiculous and do not mean what you think they do.

By: Richard Sharpe

Richard Sharpe — Sat, 17 May 2008 17:11:51 +0000

This chapter is all about basic probability, with an emphasis on understanding and not on mechanics.

Hmmm, this seems to be the modern mantra in math education as well. Kids don’t have to do such boring things as memorize their multiplication tables, they should simply “understand” math …

I am skeptical … it seems to me that it’s like saying that we can teach people to become hotshot computer programmers who can debug complicated deadlocking problems simply by telling them about lock ordering and other deadlock avoidance techniques. However, until you have actually been involved in one of those situations you actually have no deep understanding …

The devil is always in the details, and being able to recognize the relevance of a solution to another area seems to me to require that you have done the hard work of pushing the numbers around and solving the equations.

Maybe I am just old fashioned.

By: Briggs

Briggs — Thu, 15 May 2008 00:03:16 +0000

Steve,

Apparently, Vicki Crawford, must have forgotten to include credit to me and John for writing the piece. Thanks for the heads up. I went and posted this:

Vicki,

Thanks for quoting from our original zombie article at wmbriggs.com (search for zombie). But I notice you forget to credit for me and John Briggs for writing the first half.

Must have slipped your mind.

The zombie article, which we wrote on 31 January, was very popular and was linked all over the web.

We also wrote some follow up zombie articles. Come on by and take a look.

William Briggs

By: Steve

Steve — Wed, 14 May 2008 20:54:48 +0000

Briggs

Did someone rip off your Zombie story?

http://www.naplesnews.com/blogs/observation_post/2008/mar/18/zombiesentry/

By: Mike D.

Mike D. — Wed, 14 May 2008 18:15:44 +0000

Thank you. R rocks!!!!

By: Briggs

Briggs — Wed, 14 May 2008 09:54:55 +0000

Here’s a rough Table of Contents. Chap 12 is being pushed to the end, the regression chapter might be merged and a new one on logistic might appear.

Chapter 1. Logic 1
1. Certainty & Uncertainty 1
2. Logic 2
3. What is probability? 6
4. Why isn?t probability subjective? 8
5. Randomness 9
6. A taste of Boolean algebra 10
7. Mechanics 11
8. Homework 12
Chapter 2. Probability 15
1. Probability rule number 1 15
2. Probability rule number 2 16
3. Probability rule number 3 17
4. Probability rule number 4: Bayes?s rule 20
5. Extra: More Bayes?s rule 22
6. Homework 23
Chapter 3. How to Count 27
1. One, two, three… 27
2. Arrangements 28
3. Being choosy 28
4. Counting meets probability: The Binomial distribution 30
5. Homework 32
Chapter 4. Distributions 35
1. Variables 35
2. Probability Distributions 38
3. What is Normal? 41
4. Homework 47
v
vi CONTENTS
Chapter 5. R 49
1. R 49
2. R binomially 51
3. R normally 53
4. Advanced 55
5. Homework 55
Chapter 6. Normalities & Oddities 57
1. Standard Normal 57
2. Nonstandard Normal 58
3. Intuition 60
4. Homework 62
Chapter 7. Reality 65
1. Kinds of data 65
2. Databases 68
3. Summaries 69
4. Plots 71
5. Extra: Advanced topics 72
6. Homework 73
Chapter 8. Estimating 75
1. Background 75
2. Parameters and Observables 77
3. Classical guess 78
4. Confidence intervals 80
5. Bayesian way 85
6. Homework 88
Chapter 9. Estimating and Observables 91
1. Binomial estimation 91
2. Back to observables 92
3. Even more observables 95
4. Homework 98
Chapter 10. Testing 101
1. First Look 101
2. Classical 1 105
3. Classical 2 110
4. Modern 111
5. Homework 112
CONTENTS vii
Chapter 11. More Testing 115
1. Proportions 1 115
2. Testing differences in proportions 2 117
3. Testing differences in proportions 3 117
4. Homework 117
Chapter 12. Cheating 119
1. Statistics on the loose; or, How to cheat 119
2. Surveys & Polls 120
3. Data 121
4. Homework 121
Chapter 13. Modelling 123
1. Regression 1 123
2. Regression: continuous variable 125
3. Regression: reading output 126
4. Homework 128
Chapter 14. More Modelling 131
1. Regression: categorical variables 131
2. Regression 5 131
3. Regression 6 131
4. Homework 131
Appendix A. List of R commands 133

By: Mike D.

Mike D. — Tue, 13 May 2008 23:19:58 +0000

Chap 2 is okay, maybe a little confusing for an Intro to the subject, however. More verbal explication of the equations might be helpful to the stat newbie.

It might also help me to help you if you presented a rough Table of Contents. If I knew where you were going, it might help me to judge whether these early chapters are sufficient. For instance, you say you plan to present only two distributions. Okay, but where are you going with non-parametric stats? Will you get to visual methods? Survival analysis? Generalized linear models? What’s the scope?