Networks: Quantitative and Qualitative Analyis
Notes
Due Friday, April 23 by the end of the day. Submit your
report online via Blackboard.
Report
The culmination of your network contruction project will be a written report analyzing your
network from the perspective of the themes of the entire class. I
anticipate that the typical length of these reports, including all
figures, diagrams, references, etc. will be under 10
pages. The overarching goal of your report is to demonstrate:
- mastery of the technical and
conceptual themes of the class
- ability to
apply these themes to a specific real-world network.
You should view the inputs to your report as including at least the
following items:
- The original data used to form your network.
- Visualizations of your network or fragments of it. If you would like
help in GUESS creating different visualizations, please let
Prof. Forbes or Dave Stecher know.
- Quantitative and numerical analyses performed on your network.
- Your knowledge of the domain from which the network comes.
- Any articles or other materials you feel are relevant.
While I am flexible about the specific format of the reports, there will be
some required elements, and a number of themes and topics that you
should be sure to touch on.
- Your report should begin with a precise recounting of the exact
definition of your network (edges and vertices), as well as of your
methodology in constructing the network, including all data
sources. Again, the goal here is to be precise enough that a third
party could replicate your efforts.
- Your report should analyze various structural properites of your network,
including (but not restricted to) things like its diameter,
clustering coefficient(s), degree distribution, and so on. You should
consider doing computations (either by hand or computer) of these
quantities, or at least make an effort to estimate or bound them. You
are free to approach Prof. Forbes or Dave for help here as well, but please be
give advanced notice so they can schedule a meeting.
- You should further discuss these structural properties in light of what
you know about what actually happens on your network, or what aspect
of the real world it represents. For instance, if there are vertices
with extraordinarily high degree, you should discuss why it makes
sense that they have high degree (if in fact it does make sense), how
they might have come to have this property, and so on. Ditto for the
other structural properties you discuss.
- You should discuss plausible models for how your network was generated, and
contrast them with those in Chapter 20 of the textbook. You should discuss
which of the generative models seem like better or worse
explanations for how your network formed.
- You should discuss how structural properties of your network either do or
do not influence what actually happens on your network.
- You should discuss how individual agents in the network interact. Are
there games that occur?
- You should make liberal use of network visualizations, graphs, plots,
charts, tables, etc. Anything that helps make your points more
precise and understandable is encouraged.