new power analysis project

projects/evaluation.tex

@@ -23,8 +23,8 @@
 \begin{tabular}{|p{0.16\textwidth}|p{0.1\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|l|l|}
 \hline
 Name & Project & \multicolumn{5}{l|}{Project} & \multicolumn{3}{l|}{Figures} & \multicolumn{8}{l|}{Code} & Sum & Grade \rule{0.pt}{3ex} \\ 
-  & & \rot{Understanding} & \rot{Presentation}\rot{Structure, didactics} & \rot{Completed} & \rot{Bonus:}\rot{Context} & \rot{Bonus:}\rot{Own ideas} & \rot{Readability}\rot{font size, etc.} & \rot{Labels, units}\rot{and statistical measures} & \rot{Design} & \rot{Runs} & \rot{Names of}\rot{vars and funcs} & \rot{Style: white space}\rot{Spaghetti, structure} & \rot{Functions: used,}\rot{purpose, standalone} & \rot{Docu script} & \rot{Docu functions} & \rot{Figures saved} & \rot{Bonus:}\rot{Interesting code} & & \\ 
- & & 0--6 & 0--2 & 0--2 & 0, 1 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--3 & 0--2 & 0--2 & 0, 2 & 0--2 & 28 & \\ \hline
+  & & \rot{Understanding} & \rot{Presentation}\rot{Structure, didactics} & \rot{Completed} & \rot{Bonus:}\rot{Context} & \rot{Bonus:}\rot{Own ideas} & \rot{Readability}\rot{font size, etc.} & \rot{Labels, units, and}\rot{statistical measures} & \rot{Design} & \rot{Runs} & \rot{Names of}\rot{vars and funcs} & \rot{Style: white space}\rot{Spaghetti, structure} & \rot{Functions: used,}\rot{purpose, standalone} & \rot{Docu script} & \rot{Docu functions} & \rot{Figures saved} & \rot{Bonus:}\rot{Interesting code} & & \\ 
+ & & 0--6 & 0--2 & 0--2 & 0, 1 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--3 & 0--2 & 0--2 & 0, 2 & 0--2 & 31 & \\ \hline
  \num & & & & & & & & & & & & & & & & & & & \\ \hline
  \num & & & & & & & & & & & & & & & & & & & \\ \hline
  \num & & & & & & & & & & & & & & & & & & & \\ \hline
@@ -36,12 +36,11 @@ Name & Project & \multicolumn{5}{l|}{Project} & \multicolumn{3}{l|}{Figures} & \
 \end{tabular}
 
 \noindent
-\begin{tabular}{|p{0.16\textwidth}|p{0.1\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|p{0.023\textwidth}|l|l|}
+\begin{tabular}{|p{0.16\textwidth}|p{0.1\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|p{0.024\textwidth}|l|l|}
 \hline
 Name & Project & \multicolumn{5}{l|}{Project} & \multicolumn{3}{l|}{Figures} & \multicolumn{8}{l|}{Code} & Sum & Grade \rule{0.pt}{3ex} \\ 
-  & & \rot{Understanding} & \rot{Presentation}\rot{Structure, didactics} & \rot{Completed} & \rot{Bonus:}\rot{Context} & \rot{Bonus:}\rot{Own ideas} & \rot{Readability}\rot{font size, etc.} & \rot{Labels}\rot{and units} & \rot{Design} & \rot{Runs} & \rot{Names of}\rot{vars and funcs} & \rot{Style: white space}\rot{Spaghetti, structure} & \rot{Functions: used,}\rot{purpose, standalone} & \rot{Docu script} & \rot{Docu functions} & \rot{Figures saved} & \rot{Bonus:}\rot{Interesting code} & & \\ 
- & & 0--3 & 0--2 & 0--2 & 0, 1 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--3 & 0--2 & 0--2 & 0, 2 & 0--2 & 28 & \\ \hline
- \num & & & & & & & & & & & & & & & & & & & \\ \hline
+  & & \rot{Understanding} & \rot{Presentation}\rot{Structure, didactics} & \rot{Completed} & \rot{Bonus:}\rot{Context} & \rot{Bonus:}\rot{Own ideas} & \rot{Readability}\rot{font size, etc.} & \rot{Labels, units, and}\rot{statistical measures} & \rot{Design} & \rot{Runs} & \rot{Names of}\rot{vars and funcs} & \rot{Style: white space}\rot{Spaghetti, structure} & \rot{Functions: used,}\rot{purpose, standalone} & \rot{Docu script} & \rot{Docu functions} & \rot{Figures saved} & \rot{Bonus:}\rot{Interesting code} & & \\ 
+ & & 0--6 & 0--2 & 0--2 & 0, 1 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--2 & 0--3 & 0--2 & 0--2 & 0, 2 & 0--2 & 31 & \\ \hline
  \num & & & & & & & & & & & & & & & & & & & \\ \hline
  \num & & & & & & & & & & & & & & & & & & & \\ \hline
  \num & & & & & & & & & & & & & & & & & & & \\ \hline

projects/project_power_analysis/Makefile

@@ -0,0 +1,3 @@
+ZIPFILES=
+
+include ../project.mk

projects/project_power_analysis/power_analysis.tex

@@ -0,0 +1,45 @@
+\documentclass[a4paper,12pt,pdftex]{exam}
+
+\newcommand{\ptitle}{EOD waveform}
+\input{../header.tex}
+\firstpagefooter{Supervisor: Peter Pilz}{phone: 29 74835}%
+{email: peter.pilz@uni-tuebingen.de}
+
+\begin{document}
+\input{../instructions.tex}
+
+In a scientific study 3 different substances are tested on 3 groups of
+subjects, a forth group is not treated and serves as a control
+group.
+
+Simulate test results for the different groups using normally
+distributed random numbers. The standard deviation is the same in all
+groups. The effect size $d=\frac{\mu_1 - \mu_2}{\sigma}$ relative to
+the control group is $0.0, 0.5,$ and $1.0$ for the three experimental
+groups.
+
+\begin{questions}
+  \question{} How large is the \emph{power} of the study if each group
+  consists of 10 subjects?
+  \begin{parts}
+    \part{} Execute a large number of experiments (10.000) and estimate how often statistically significant results are yielded. Give both \emph{type I} and \emph{type II} errors.
+  \end{parts}
+  \question{} What is the effect of different goup sizes?
+  \begin{parts}
+    \part{} Consider the following group sizes ($control:group1:group2:group3$):
+    \begin{itemize}
+    \item $4:12:12:12$
+    \item $7:11:11:11$
+    \item $13:9:9:9$
+    \item $16:8:8:8$
+    \item $19:7:7:7$
+    \item $22:6:6:6$
+    \item $25:5:5:5$
+    \item $28:4:4:4$
+    \end{itemize}
+    \part{} Plot the \emph{power} as a function of the size of the control group for $d={0.5, 1.0}$. Give the groups size relative to the size of the experimental groups.
+    \part{} How large are the false positive results for $d=0.0$.
+  \end{parts}
+  \question{} Can you recommend a group size for the control group?
+\end{questions}
+\end{document}