- Series: Dover Books on Mathematics
- Paperback: 252 pages
- Publisher: Dover Publications; 0002-Revised edition (March 1, 1979)
- Language: English
- ISBN-10: 0486637603
- ISBN-13: 978-0486637600
- Product Dimensions: 5.6 x 0.5 x 8.2 inches
- Shipping Weight: 10.4 ounces (View shipping rates and policies)
- Average Customer Review: 3.9 out of 5 stars See all reviews (39 customer reviews)
- Amazon Best Sellers Rank: #56,793 in Books (See Top 100 in Books)
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Principles of Statistics (Dover Books on Mathematics) 0002-Revised Edition
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Chapter 1 is a short blurb on the concept of probability. This is very useful because it places the rest of the text on a very specific and concise footing. Essentially there are two concepts of probability. One is the relative frequency with which an event occurs in the long run. An example of this is the tossing of a coin many times and counting the number of times it comes up heads. The author describes this as statistical probability.
The second concept of probability is what the author calls inductive probability. Inductive probability is "the degree of belief which it is reasonable to place on a proposition on given evidence." The essential difference between the two concepts of probability is that statistical probability is an empirical concept, while "inductive probability is a logical concept." Bulmer closes chapter 1 by saying, "It has been reluctantly concluded by most statisticians that inductive probability cannot in general be measured and, therefore, cannot be ............" Read chapter 1 to find some interesting arguments in support of this proposition - a proposition that may be surprising to some people. As a result (and as the book's title suggests) Bulmer keeps his book almost exclusively in the domain of statistical probability.Read more ›
In short, learn and review statistics from this classic. Thank you, Mr. Bulmer, and Dover Publications (for making this textbook available in a nice format at such a low price).
The negative reviews come from people who use this as their introduction to statistics, and who probably don't have a strong grasp of calculus or perhaps higher level math in general.
In my opinion this book offers something that no other statistics book has: clear derivations of all the fundamental and important equations and distributions in statistics; followed by lucid explanations. In other words this book unravels the mystery behind the equations. If you've thought about a statistics equation a lot and wondered, WHY? Then this is the book to read.
Here are 4 questions I had that Bulmer answered:
1) Why is the mean more commonly used than the median (and in which cases is the median better)? p.51-54
2) As a measure of variability why use a root-mean-square procedure (i.e. accepted def. of std deviation ) instead of mean deviation (i.e. take absolute value of deviations)? p.54-59
3) What is the logical error in the gambler's fallacy? p.87-88 (Note: many statistics books treat this, but I've found Bulmer's book to give the most satisfying answer.)
4) Why does the standard deviation of a sample have the n-1 term in the denominator instead of the n term like the stdev of the population? p.129-130
(Note that he answers questions 1, 2, and 4 more than once, but the pages listed are the first time the answer appears.)
Thus, I strongly recommend buying and reading this book if, like me, you have a burning desire to know why the equations are the way they are.Read more ›
Most Recent Customer Reviews
Exercises don't match the material. The author does not present the material for the exercises. This is incompetence in instructional design. This book stinks even for review.Published 1 month ago by Mark on Amazon
This book as made clear to me concepts that I thought I understood but now realize I understand much better. Read morePublished 4 months ago by Dana Lee Ling
Short and sweet. Came in great condition. Clean layout and the author is straight to the point. Used it to supplement my Analytical Chemistry class as a bulk of the dry chemistry... Read morePublished 5 months ago by Diane Gabriel
This book is highly mispreresented as a bigginers book. It is really for skilled mathematicions.Published 11 months ago by Watt Osage
This is not a comprehensive review of the book, but I simply want to point out that the Kindle edition of this book is full of typesetting errors. Read morePublished 13 months ago by Critical Critic