Before Christmas I posted a message asking for recommendations for books that would help someone (me) who has a good school knowledge of Maths (and foundation level at OU) and an MSc in Medical Statistics, and who wants to understand more of the mathematical theory behind statistics. I had some helpful replies (thank you), but all my emails disappeared when I upgraded from Windows 98 to XP. I would appreciate it if the original repliers could resend their emails, and others too.
I've received a number of replies, and summarise them below. Thank you very much to those who replied (names below).No one book stood out as being a favourite. I would still appreciate feedback on the lists of books below.
Statistical Inference by Casella and Berger is very good (useful summary
of distributional forms at the back). Also, Probability and Statistics by
Degroot.
O.A.J. Grigg
Sorry to hear about the loss of your files. Here is the website of the RSS exams which should enable you to find any information that you may need, including reading lists and distance learning courses
http://www.rss.org.uk/main.asp?page=1820
Regards
Miland Joshi MSc MMath (Open) CStat
HI Martin,
i recall few months ago someone else posted a similar question.
Maybe this is the question that comes on Allstats every now and then, so
thats why people where so reluctant to reply to you.
Anyway here is the list of books that ppl recommended to the last person
that asked for a list of books about Mathematical Statistics.
I recommended..and i still recommend: "Introduction to Mathematical
Statistics" by Hogg and Craig :-)
For those of you interested in the outcome I append a list of
books/comments ( in no particular order). It is a pretty diverse list -
Rice got several mentions as did Chatfield. I am also sure Hogg and
Craig got a mention.
At present we use Rice and while it is a nice book it is a bit
expensive. Thanks again to you all - I will mull over the list
Medical Statistics at a Glance by A. Petrie & C. Sabin
published by Blackwell Science
Rice JA. Mathematical Statistics and Data Analysis (2nd ed).
Duxbury Press, 1995.
An Introduction to Medical Statistics
Martin Bland
Garthwaite, PH, Jolliffe, IT, and Jones, B - Statistical Inference,
Arnold, 1995
Rose, C. and Smith, MD - Mathematical Statistics with Mathematica,
Springer, 2002
Teaching Statistics: A Bag of Tricks
by Andrew Gelman, Deborah Nolan
Don Berry's Statistics, A Bayesian perspective.
Statistics, 3rd. Edition
Freedman, Pisani, and Purves
Probability and Statistics (3rd Edition) (2002)
Morris H. DeGroot & Mark J. Schervish
Chance Encounters: A First Course in Data Analysis and Inference
(2000)
Christopher Wild, George Seber
Statistical Methods of Analysis (2003)
Chin Long Chiang
"Introduction to the Practice of Statistics" by Moore and
McCabe, (Freeman Press).
Chatfield's 'Problem Solving: A Statistician's guide'
'How to Lie With Statistics' by Darrell Huff
Applied Statistics - Principles and Examples - DR Cox and EJ Snell
Sampling and Statistics Paul Hague and Paul Harris
'Introduction to Mathematical Statistics' Paul Hoel
Basic Business Statistics by levine and
Introduction to Probability theory by Ross
Casella & Berger titled sth like "Statistical inference"
Elements of Statistics by Fergus Daly et al?
I would recommend that you have a look at the following website if you
have
not already done so:
http://science.ntu.ac.uk/rsscse/library_database/text_books6.htm
'Introductory Statistics' by Weiss & Hassett
From: "Ana-Maria.Magdalina" <[log in to unmask]>
Hello - Cambridge University Press has a outstanding book by
David Williams, Weighing the Odds: A Course in Probability
and Statistics. (It's not as elementary as it sounds.)
You can see the table of contents and sample pages if you:
- go to google.com (can't be done from google.co.uk)
- use search terms 'books weighing the odds'
- from the little list of three books at the top, select
the Williams book
- you should see a sample page and also be able to navigate to
the table of contents and other pages
I should warn you that people either love or hate this book,
so you'll need to be the judge. And the usual caveats about
a recommendation from the publisher ...
Diana Gillooly
These days I think it be worth going straight to a proper Bayesian approach:
Gelman, A;Carlin, J;Stern, H; and Rubin ,D: Bayesian Data Analysis. Chapman
and Hall/CRC. 1995.
Blaise F Egan
I think you'll find that you can view the Allstat archives at the
JISCmail website...
Julian Wells
Senior Lecturer in Economics
1) Kleinbaum - Logistic Regression - A Self learning
Text (Statistics in the Health Sciences). Springer.
2) Kleinbaum - Survival Analysis - A Self learning
Text (Statistics in the Health Sciences). Springer.
3) Bryan Manly - Randomization, Bootstrap and Monte
Carlo Methods in Biology (Chapman and Hall).
4) Bryan Manly - Statistics for Environmental Science
and Management (Chapman and Hall).
5) Chris Chatfield from the University of Bath has an
excellent Time Series Analsis book.
I like all 5. The first 2 are excellent self-learning
texts.
Hope they are of use. Best wishes, Paul
Paul Johnson
http://www.biostatsoftware.com
Our university text book was Lindgren, BW. (1968) Statistical Theory. No idea if it's still available.Also Cox DR, Hinkley DV. (1974) Theoretical Statistics. A classic. There was also one by Mood and Graybill, Introduction to the theory of statistics. And Feller, W An introduction to probability theory and its applications. I'm sure that colleagues working in the area of education should have more up-to-date recommendations. Best wishes, Brian G Miller, BSc, PhD, CStat
I would highly recommend a book by John E Freund called Mathematical
Statistics to learn more about the mathematical background to statistics. It
is a book I was advised to buy for my undergraduate maths and stats degree
and is nicely set out, very comprehensive and contains lots of examples
(always helpful!) Kind regards
Charlotte Paterson
1. In All Likelihood, Pawitan, Oxford, 2001.
2. Parametric Statistical Inference, Lindsey, Oxford 1996
3. Statistical inference, Garthwaite, Joliffe, Jones, (second edition)
Oxford, 2002
These are all excellent, although the first would be my personal
recommendation.
Of course, I should also like to recommend that you read my latest book,
Dicing with Death, http://www.senns.demon.co.uk/DICE.html, in order to
balance your reading diet with the addition of some history and philosophy.
Regards
Stephen (Senn)
In all likelihood: statistical modelling and inference using the likelihood
Yudi Pawitan
Oxford University Press, 2001
Enjoy.
Regards,
Tony Scallan
Freund and Walpole have a very gentle introductory math stats text.
Barry Zajdlik
Dear Martin - as a consultant statistician (for about 12 years now) I am
constantly having to try and get to grips with the underlying theory of
techniques I need to use, and even when I think I have at some time, I
usually have to go over it all again when I meet that topic again years
later!
I think you're probably after general and method-specific refs. A
general text I have on my shelf that I dip in to from time to time is
"Intermediate Statistical Methods" by Barrie Wetherill - I inherited
this book from a colleague but it's useful for regression-type calcs...
For survival analysis I have Hosmer and Lemeshow and Collett - both
excellent!
And so on - have you a particular method you use a lot that you want to
get more to grips with and maybe I could suggest a couple of books.
I too would like to hear of other people's suggestions but perhaps the
request may have been too broad and that may be why there have been so
few responses?!
Good luck,
Vicky Ryan MSc
I think Vicky Ryan makes some good points in her reply. I am looking for the sort of book that a Statistics Undergraduate might have to help in his/her final year.
Thanks again, to all the above, and I hope this helps those who asked for a summary.
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