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\large\bf 36-303: Variance Calculations for Teams C and E\\
Brian Junker\\
\today
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\begin{quote}
Team C (Performance vs Attendance in CMU classes) and Team E (Accuracy
of Bus Schedules) both have a sample design that involves clustered
sampling within strata.  These notes should help you think about
variance, SE and confidence interval calculations for your projects.
You will also be able to think about sample size calculations.
\end{quote}

Teams C and E have sample designs involving one-stage clustered
sampling within strata (stratified one-stage clustered sampling).
\begin{itemize}
\item {\bf For team C,} each stratum is a college in the university
  (HSS, CIT, CS, CFA, etc.) and the clusters within each stratum are
  departments within each college.  The individual responses will be
  from instructors for ``all\footnote{Team C is still deciding whether
    ``all'' means just core major required courses, or includes all
    possible undergrad offerings.}'' undergrad courses in the
  department.
\item {\bf For Team E,} each stratum is a 3-hour block of time during
  the day (morning, lunch, afternoon, evening) and the clusters within
  each stratum are 1-hour observation periods within a 3-hour block.
  The individual responses will be observations on each bus visiting
  the two Forbes \& Morewood bus stops.
\end{itemize}

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