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\documentstyle[psfig,11pt,fullpage]{article}
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\makeatother

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\pagestyle{myheadings}
\markboth{36-402: Advanced Data Analysis II {} Spring 1998}{36-402: Advanced Data Analysis II {} Spring 1998}



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\def\class{36-402: Advanced Data Analysis II}

\def\data{\verb|/afs/andrew/stat/data/402|}

\def\term{Spring 1998}

\def\www{{\tt http://www.stat.cmu.edu/\~{}brian/402/}}

\def\statlib{{\tt http://lib.stat.cmu.edu/}}

\def\ulbf#1{\setbox0=\hbox{\bf #1}\dp0=0pt\underline{\box0}}

\def\ulem#1{\setbox0=\hbox{\em #1\/}\dp0=0pt\underline{\box0}}

\def\ul#1{\setbox0=\hbox{#1}\dp0=0pt\underline{\box0}}

\def\boldhead#1{\par\vspace{0.1in}\noindent{\bf #1}}

\def\italhead#1{\par\noindent{\it #1}}

\newenvironment {alphalist}{\begin{enumerate}
\def  \makelabel##1{\hss\llap{##1}}
\def  \labelenumi{(\alph{enumi})}
\def  \theenumi{\alph{enumi}}
\def  \p@enumi{\theenumi.}
}{\end{enumerate}}

\newenvironment {problist}{\begin{enumerate}
\let\makelabel\descriptionlabel
\def  \labelenumi{\ulbf{Problem \#\arabic{enumi}:}}
\def  \theenumi{\arabic{enumi}}
\def  \p@enumi{\theenumi.}
}{\end{enumerate}}

\def\bjhead{\class{} \term}

\def\sep{\vspace{0.5em}\par\hfil\rule[0.25em]{6in}{0.1pt}\par}

\def\slides{
\let\tiny\normalsize
\let\small\large
\let\normalsize\Large
\let\large\LARGE
\let\Large\Huge
\let\LARGE\HUGE
\let\HUGE\Huge
}

\newcommand {\Var}{\mbox{Var}\,}

\newcommand {\eq}[1]{(\ref{#1})}

\newcommand {\combos}[2]{\left(\begin{array}{c}#1\\ #2\end{array}\right)}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$31^\circ$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline169: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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{\newpage
\clearpage
\samepage \psfig{figure=chal1.eps,angle=-90,width=3in}
}

{\newpage
\clearpage
\samepage \psfig{figure=chal2.eps,angle=-90,width=3in}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\log{m} = \mbox{some combination of factor effects} \end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$p(t)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline179: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}p(F|t) = \mbox{probability of failure given temperature was } t
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}p(t) = \mbox{some arbitrary function of } t \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\log{p(t)} = \mbox{some arbitrary function of } t \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{eqnarray*}P(R=r | t)& =& \left(\begin{array}{c}n\\  r\end{array}\right) p(t)^r (1-p(t))^{n-r}  \\ 
          & = & \left(\begin{array}{c}n\\  r\end{array}\right) {\left ( \frac{p(t)}{1-p(t)} \right )}^r (1-p(t))^{n} \\ 
          & = & \mbox{(Fcn of $r$)}\times\mbox{(Fcn of $p$ and $r$)} \times
                 \mbox{(Fcn of only $p$)}
\end{eqnarray*}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\log{\left(\begin{array}{c}n\\  r\end{array}\right)} + r \times \log{\left ( \frac{p(t)}{1-p(t)}
  \right )} + n \times \log{(1-p(t))} \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\log{\left ( \frac{p(t)}{1-p(t)}\right )} \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\mbox{logit}\,(p) = \log{\left ( \frac{p}{1-p}\right )} \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}x= \mbox{logit}\,(p) = \log{\left ( \frac{p}{1-p}\right )}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}p = \mbox{expit}\,(x) = \frac{\exp(x)}{1 + \exp(x)} \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\mbox{logit}(p(t)) = \mbox{some function of } t \end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$(1-p) = 0$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline225: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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\samepage \setbox\sizebox=\hbox{$R^2$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline227: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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\stepcounter{paragraph}
{\newpage
\clearpage
\samepage \begin{displaymath}-1.041893  \pm 2 \times 0.7682786 \end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$(0.070,0.621)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline231: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$0.260$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline233: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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\samepage \setbox\sizebox=\hbox{$31^\circ$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline235: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$p = 0.83$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline237: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$(0.089, 0.996)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline239: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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\stepcounter{paragraph}
{\newpage
\clearpage
\samepage \psfig{figure=chal3.eps,angle=-90,width=6in}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$t^2$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline241: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\log_2(\mbox{dose})$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline245: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \psfig{figure=budplot2.eps,angle=-90,width=5in}
}

{\newpage
\clearpage
\samepage \psfig{figure=budplot3.eps,angle=-90,width=5in}
}

{\newpage
\clearpage
\samepage \psfig{figure=budresid.eps,angle=-90,width=5in}
}

\stepcounter{paragraph}

\end{document}
