Encyclopaedia of DesignTheory
Table of contents
This Encyclopaedia is part of the documentation of the
which is currently under development. It will eventually be a
web-based design theory resource server. The Encyclopaedia of Design Theory
is edited by Peter J. Cameron,
of the School of
Mathematical Sciences, Queen
Mary, University of London.
Needless to say, this documentation is also under construction (and
probably always will be). Currently we have over 350 glossary entries and
20 topic essays, as well as partial descriptions of 5 classes of
designs, a bibliography, and a history page.
Available now: version 2.0 of the
External Representation of
Block Designs (XML specification and documentation). The library also
contains a preprint
of a paper describing the project and its wider context.
You may also be interested in the Web page
Resources, which at present is independent of the DTRS project.
The aim of this encyclopaedia is to be a reference for concepts, not a
repository of the most up-to-the minute existence results for designs.
Accordingly, we welcome comments on the contents, ease of use, or anything
else; these should be sent to the
The editor would be very pleased to receive submissions,
which will be acknowledged in the Encyclopaedia if they are used.
We keep a list of contributors.
In addition to the descriptions of various types of designs (see below),
there is a glossary, a
collection of essays on selected topics, a
bibliography, and a small list of expository
examples, as well as a page devoted to the
history of design theory, and a page of links to
topics on experimental design.
Selected external Web pages
are also indexed here, labelled with this icon:
. (External references will open in
a new window. Of course, we are not responsible for the availability or
the content of external web pages.)
There are many types of designs. For each type, we will give information
under the following twelve headings:
- General description:
A definition, with an example if possible, and some background.
- Partition structure:
Description of the design as a set carrying several partitions (if it exists).
- Incidence structure:
Description of the design as a collection of sets with incidence relations
(if it exists).
Description of the design as an array or multi-array (if it exists).
- Experimental design:
Use in design of experiments
- Other designs:
- Mathematical properties: such as existence, uniqueness,
enumeration, choosing one at random, algebraic representation
- Statistical properties: efficiency, optimality, treatment
structure, how to randomise
- In the server: How to find this design in the server
- External references: Descriptions elsewhere on the Net
- Miscellaneous: not covered elsewhere
Table of contents |
Peter J. Cameron
1 December 2004