Statistics IB
This material is provided for students, supervisors (and others) to
freely use in connection with this course. Copyright remains with the author.
Statistics IB
A linear regression
This is a home page for a course of 16 lectures
to second year Cambridge mathematics students
over 8 weeks.
Each lecture is as selfcontained as possible and has
course notes
of four A4 pages.
I have also made additional notes about things
I said in lectures and questions students have asked.
There is a single examples sheet
and a file of exam questions.
Students should receive three supervisions on the examples sheet.
There are four recommended books.
If you enjoy this course
then you should consider related courses in Part II
and other items of interest.
Course notes
How to view and print:
There are ... pages of notes available as a postscript file. When you
click on a file name below, the file will appear on your screen to be
viewed with ghostview. You can mark and print the specific pages you
need, rather than waste paper by printing all the pages. Ideally, you
will want to print to a 600 dpi laser printer, but 300 dpi will do.
The notes are formatted as two sidebyside pages per A4 sheet. So to
view the notes properly you may need to go to the ghostview menus and
set the display for A4 paper in landscape mode. Each lecture begins
on a new page.
There are individual files for each lecture. This may be more
convenient for you if you do not have the ability to run ghostscript from
your computer, but are able to print a postscript file.

statistical tables,
 toc.ps (contents),
index.ps (keywords),
notation.ps,
 S01.ps,
S02.ps,
S03.ps,
S04.ps,
S05.ps,
S06.ps,
S07.ps,
S08.ps,
S09.ps,
S10.ps,
S11.ps,
S12.ps,
S13.ps,
S14.ps,
S15.ps,
S16.ps.
 notes.pdf
For people who can spare the paper, this
contains a full size (A4) version of the lecture notes (1414 K).
Corrections:
Whenever I find an error in the notes the files above are
corrected and a note is added to this
list of corrections. These corrections
should be applied to the notes handed out in lecture. They have
been encorporated to the version of the notes above. Here is a postscript
file also giving the corrections: corrections.ps
Where to collect photocopies of the notes:
I always try to bring copies of the previous lecture's notes to
each lecture. Otherwise, you can find copies of notes by using
this map to locate the
Statistical Laboratory pigeonholes.
Examples sheet
There are three examples sheets; each is a pdf file of 2 pages. The
questions appear in the same order as topics are covered in lectures and
you will find a recommendation on the sheet concerning the work you should
do for your supervisions. Viewing and printing is identical as for the
notes above.
Here are some old examples sheets from when the course was lectured in
1995:
Corrections:
Whenever I find an error in the notes the files above are
corrected and a note is added to this
list of corrections.
Overhead Slides and Digressions
I include a small (nonexaminable) digression half way through each lecture.
 Anchoring and bias. (lecture 1)
 A method of conducting a questionaire about a sensitive topic. (lecture 2)
 How many words did Shakespeare know? (lecture 3)
 A confidence interval for the remaining life of the human race. (lecture 4)
 Utility and lotteries. (lecture 5)
 The Alias paradox. (lecture 6)
 The Ellsberg paradox. (lecture 7)
 An estimation game. (lecture 8)
 A statistical love story. (lecture 9)
 Benford's distribution for the leading digit. (lecture 10)
 An analysis of Jane Austin's style. (lecture 11)
 Latin squares and experimental design. (lecture 12)
 The Stein estimator. (lecture 13)
 Factor analysis and the MyersBriggs test. (Lecture 14)
 Discriminant analysis, principal components, bootstrap. (Lecture 15)
These examples and other material are
included in this file of overhead projector slides.
There is another file of overheads that I used with lectures. This is
mostly larger scale displays of information that is in the notes.
However, there are scatter plots and regression lines with
confidence bands for which there was not enough space to reproduce in
notes.
Additional material
Here are some additional notes which summarise
things I said in lectures and which do not appear in the printed
notes. I have also made notes about questions that students asked,
either in lectures or by coming up to me afterwards.
Exam questions
This file has exam questions from 19881997 and 1999.
Recommended books

M. H. De Groot,
Probability and Statistics,
2nd edition, AddisonWesley, 1986.

J. A. Rice,
Mathematical Statistics and Data Analysis,
2nd edition, Duxbury Press, 1994.

G. Casella and J. O. Berger,
Statistical Inference,
Brooks Cole, 1990.

D. A. Berry and B. W. Lindgren,
Statistics, Theory and Methods,
Brooks Cole, 1990 (out of print).
Related courses in Part II
There are courses in Part II that build on what students learn in this
course.
In Part IIA there is
Computational Statistics and Statistical Modelling.
In Part IIB there is Statistical Inference.

Chance News (a collection of probability and statistics examples
taken from newspapers, magazines, tv, etc., with criticism and
discussion).
 Rate Your Risk Quiz.
E.g. What is the risk of your being wiped out (with nearly
everybody else) next year by a catastrophic comet, meteor,
or asteroid impact?
One in 750,000? One in 20,000? One in 15,000,000?

Pictures of famous statisticians
 Biographies of some famous statisticians:
Bayes (Bayesian inference),
Gosset (Student's tdistribution),
Neyman (NeymanPearson test),
Pearson (NeymanPearson test).
 A
personality profiling test.
 Sex difference in use of computerbased teaching resources.
Some people have suggested that male and female students may differ in
their use of computerbased teaching material. A preliminary finding
for preuniversity students is that females actually read the
information and use it, whereas males are often content merely to
revel in the process of locating and downloading the data.
This issue was explored by a questionnaire
survey.ps of students during the sixth
lecture of the Optimization IB course in 1995.
The results.ps are quite interesting.
You may like to read the article
in the Times Education Supplement
by Angela MacFarlane which discusses these issues.
 My current favorite music CD is still
Reactivate 10.
Feedback
To provide this information via this WWW page is an
experiment. I welcome your feedback as to whether it a useful
addition to the lecture course.
Click here to
send me email with comments
or corrections on my lectures, the notes or the examples sheet.
Notice to external persons accessing this page
Please click here.
home page
Richard Weber ( r.r.weber@statslab.cam.ac.uk )
Last modified: Tue Jan 12 14:33:26 1999