Country: Perfectia.

Population: 1 million.  

Culture: 70% Jacodian, 30% Stoyanist.

Language: Perfectian.

Geography/Climate/Industry: Amazingly enough, Perfectia is shaped like a
perfect square, running from exactly 0 to 10 units in both longitude and
latitude. The climate of Perfectia is mild and tropical, and its primary
industry is tourism.  The strikingly horizontal Southern border of
Perfectia is entirely coastline, and thousands and thousands of visitors
flock each year to its sandy beaches and warm waters of the Watanabe Sea.
The Southern and Western portions of Perfectia are warmer and dryer, while
the Northern and Eastern parts routinely experience freezing temperatures,
especially in Winter.

History: Jacodians and Stoyanists have been vying for control of Perfectia
for thousands of years.  After 100 years of peaceful rule by the
prevailing Jacodians, the Stoyanists took power in the 1970s, led by
Marie-Colette van Lieshout, a charismatic woman who was adored by
Jacodians and Stoyanists alike.  Marie-Colette was a benevolent ruler who
invested heavily in Perfectia's education, infrastructure, and public
projects, including the construction of parks and the protection of its
beaches.  However, many Stoyanists felt that Marie-Colette spent too
heavily on public programs, and various industries were unsatisfied with
her restrictive legislations.  She was succeeded by her nephew, Pierre
Bremaud, who was concerned primarily with corporate interests, and who cut
back heavily on public programs. Pierre spent much of his time at
Perfectia's golf course and country club, and cut spending on police by
50%.  Since his rule began in 1995, crime rates have risen dramatically,
and the Vere-Jones family, which engages in organized crime, has become
increasingly powerful.  In 1998-1999, Pierre sold off various public lands
to corporate buyers and wealthy citizens, including Centerfield Park which
was sold to the Vere-Jones family, who converted it into an enormous hotel
and casino.  The wealth disparity between Jacodians and Stoyanists has
also increased significantly during Pierre's reign.  Today, 95% of the
expensive property near the Southern beaches is owned by wealthy
Stoyanists, while the villages in the North are crowded with impoverished
Jacodians. Partly due to the increased interest in gambling attributed to
the Vere-Jones Casino, a daily national lottery was instituted by the
government in 2002 and run by Perfectia's Commerce Secretary, Yosihiko
Ogata.  Yosihiko is renowned as a fair and honest public servant, but in
recent months many have speculated that the lottery may not have been
implemented fairly, perhaps due to corruption of lower-level government
officials.

The file "perfectiadata1.txt" contains the following. The first line is 
the number of lottery winners. This is followed by a list of (sorted) 
x-coordinates of the locations at which the lottery winners live. Next is 
a list of y-coordinates of the locations where the lottery winners live. 
Finally, this is followed by a list of 100 values indicating the average 
income (in thousands of dollars per year) within each square portion of 
Perfectia. For instance, the first value of income (63.13551) indicates 
the mean income for residents in the range [0,1) x [0,1). The second value 
(71.38273) indicates the mean income for residents in the range [1,2) x 
[0,1], etc. 

Assignment: 
Analyze this data and summarize your findings in a well-written report consisting of 5-7 pages of text, followed by as many figures and/or tables as you'd like. Your analysis should include graphical summaries of the points and covariate data, K-functions and their variants, and the fit of (at least one) loglinear intensity model. Comment on the fit of your model and interpret this and all your findings in terms of the subject matter context, as best you can.

Due: Thursday, March 22, 2pm. Final projects may be submitted by email only if they are in pdf format. Otherwise, a hard copy should be placed under my office door (MS 8965), or in my mailbox in the Statistics Department mailroom, or handed to me in person. 

Some files that may help you are available on the course website, such as
http://www.stat.ucla.edu/~frederic/201b/W07/perfectiaanalysis101.s