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\begin{center}\bf
Finger Exercises --- Due Tuesday, March 9, 1998
\end{center}

\begin{quote}\em
Please prepare answers for these exercises, to be turned in.  Your
grade will be based on how many questions you made a reasonably strong
effort to answer, {\bf not} how many questions you get right or
partially right.  There is no partial credit, but the grader may give
you additional written feedback on each question you attempt.

Feel free to discuss these exercises with each other and with me.  You
will get the most benefit from the grader's remarks, however, if the
work you turn in is your own.

\rm

This hw, like most material for this course, is posted on the World
Wide Web at URL \www{}; the data files are there too, or you can cut 
and paste data directly out of the \TeX{} file if you wish.  Look 
for the filenames listed in the problems below in the week8
subdirectory.

The following problems are taken from the book ``The Analysis of
Cross-Classified Categorical Data'' by Fienberg.
\end{quote}

\begin{enumerate}
\item Plackett presented the data below on a random sample of diabetic
  patients.  Fit appropriate loglinear models to these data and
  comment on the influence of family history of diabetes on the other
  two variables, and on the relationship between the other two
  variables.  Data in {\tt t312.dat}.
  \begin{center}
    \begin{tabular}{l l | r r | r r}
\hline
\multicolumn{2}{l|}{Family History of Diabetes} & \multicolumn{2}{c|}{Yes}
&\multicolumn{2}{c}{No} \\ \hline
\multicolumn{2}{l|}{Dependence on Insulin Injections} & Yes & No &
Yes & No \\\hline 
Age at Onset &$<45$  &   6 &  1 & 16 &  2 \\
             &$\geq 45$  &  6  & 36 &  8 & 48\\\hline
    \end{tabular}
  \end{center}

\item In a survey of a large American city, respondents were asked
  the question: ``Are the radio and TV networks doing a good job, just
  a fair job, or a poor job?''  Data for the responses it this
  question were broken down by the color of the respondent, and the
  question was asked in two separate years. Data in {\tt t316.dat}.
  \begin{center}
    \begin{tabular}{l l | r r r}
\hline
 & & \multicolumn{3}{c}{Response} \\
Year & Color & Good & Fair & Poor \\\hline
1959 & Black &  81 & 23 &  4 \\
     & White & 325 & 253 & 54 \\
1971 & Black & 224 & 144 & 24 \\
     & White &  600& 636& 158 \\ \hline
    \end{tabular}
  \end{center}
  \begin{enumerate}
  \item Which variables are explanatory?
  \item Which loglinear models provide an acceptable fit to the data?
  \item In your most parsimonious model that fits the data, look at
    the residuals and fitted values to decide if you like this model.
  \item Interpret your results.
  \end{enumerate}

\end{enumerate}

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