author | Madhusudan.C.S <madhusudancs@gmail.com> |
Tue, 10 Nov 2009 14:33:06 +0530 | |
changeset 296 | 2d08c45681a1 |
parent 288 | c4e25269a86c |
child 330 | 46533051b9d3 |
permissions | -rw-r--r-- |
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%Tutorial slides on Python. |
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% |
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% Author: FOSSEE |
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% Copyright (c) 2009, FOSSEE, IIT Bombay |
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\useoutertheme{infolines} |
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\usepackage{amsmath} |
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basicstyle=\ttfamily\bfseries, |
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commentstyle=\color{red}\itshape, |
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% Macros |
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% % Use and configure listings package for nicely formatted code |
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% Title page |
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\title[Statistics]{Python for Science and Engg: Statistics} |
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\author[FOSSEE] {FOSSEE} |
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\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} |
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\date[] {7 November, 2009\\Day 1, Session 3} |
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\section{Computing mean} |
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\begin{frame} |
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\frametitle{Value of acceleration due to gravity?} |
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\begin{itemize} |
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\item We already have pendulum.txt |
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\item We know that $ T = 2\pi \sqrt{\frac{L}{g}} $ |
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\item So $ g = \frac{4 \pi^2 L}{T^2} $ |
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\item Calculate ``g'' - acceleration due to gravity for each pair of L and T |
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\item Hence calculate mean ``g'' |
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\end{itemize} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Acceleration due to gravity - ``g''\ldots} |
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\begin{lstlisting} |
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In []: G = [] |
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In []: for line in open('pendulum.txt'): |
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.... point = line.split() |
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.... l = float(point[0]) |
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.... t = float(point[1]) |
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.... g = 4 * pi * pi * l / t * t |
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.... G.append(g) |
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\end{lstlisting} |
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\end{frame} |
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\begin{frame} |
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\frametitle{Computing mean ``g''} |
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\begin{block}{Exercise} |
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Obtain the mean of ``g'' |
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\end{block} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Mean ``g''} |
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\begin{lstlisting} |
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total = 0 |
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for g in G: |
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total += g |
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g_mean = total / len(g) |
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print "Mean: ", g_mean |
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\end{lstlisting} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Mean ``g''} |
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\begin{lstlisting} |
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g_mean = sum(G) / len(G) |
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print "Mean: ", g_mean |
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\end{lstlisting} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Mean ``g''} |
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\begin{lstlisting} |
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g_mean = mean(G) |
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print "Mean: ", g_mean |
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\end{lstlisting} |
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\inctime{10} |
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\end{frame} |
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\section{Processing voluminous data} |
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\begin{frame} |
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\frametitle{More on data processing} |
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\begin{block}{} |
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We have a huge data file--180,000 records.\\How do we do \emph{efficient} statistical computations, i.e. find mean, median, standard deviation etc; draw pie charts? |
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\end{block} |
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\end{frame} |
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\begin{frame} |
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\frametitle{Structure of the file} |
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Understanding the structure of sslc1.txt |
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\begin{itemize} |
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\item Each line in the file has a student's details(record) |
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\item Each record consists of fields separated by ';' |
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\end{itemize} |
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\emphbar{A;015162;JENIL T P;081;060;77;41;74;333;P;;} |
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\end{frame} |
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\begin{frame} |
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\frametitle{Structure of the file \ldots} |
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\emphbar{A;015163;JOSEPH RAJ S;083;042;47;AA;72;244;;;} |
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Each record consists of: |
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\begin{itemize} |
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\item Region Code |
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\item Roll Number |
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\item Name |
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\item Marks of 5 subjects: English, Hindi, Maths, Science, Social |
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\item Total marks |
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\item Pass/Fail (P/F) |
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\item Withheld (W) |
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\end{itemize} |
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\inctime{5} |
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\end{frame} |
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\frametitle{Statistical Analysis: Problem statement} |
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1. Read the data supplied in the file \emph{sslc1.txt} and carry out the following: |
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\begin{itemize} |
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\item[a] Draw a pie chart representing proportion of students who scored more than 90\% in each region in Science. |
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\end{itemize} |
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\end{frame} |
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\frametitle{Problem statement: explanation} |
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\emphbar{a. Draw a pie chart representing proportion of students who scored more than 90\% in each region in Science.} |
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\begin{columns} |
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\column{5.25\textwidth} |
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\hspace*{.5in} |
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\includegraphics[height=2.6in, interpolate=true]{data/science} |
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\column{0.8\textwidth} |
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\end{frame} |
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\frametitle{Machinery Required} |
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\begin{itemize} |
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\item File reading |
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\item Parsing |
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\item Dictionaries |
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\item Arrays |
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\item Statistical operations |
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\end{itemize} |
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\end{frame} |
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\subsection{Data processing} |
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\begin{frame}[fragile] |
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\frametitle{File reading and parsing \ldots} |
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\begin{lstlisting} |
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for record in open('sslc1.txt'): |
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fields = record.split(';') |
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\end{lstlisting} |
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\begin{block}{} |
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\centerline{Recall pendulum example!} |
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\end{block} |
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\end{frame} |
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\subsection{Dictionaries} |
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\begin{frame}[fragile] |
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\frametitle{Dictionaries: Introduction} |
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\begin{itemize} |
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\item lists index: 0 \ldots n |
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\item dictionaries index using strings |
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\end{itemize} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Dictionaries \ldots} |
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\begin{lstlisting} |
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In []: d = {"jpg" : "image file", |
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"txt" : "text file", |
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"py" : "python code"} |
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In []: d["txt"] |
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Out[]: 'text file' |
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\end{lstlisting} |
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In []: "py" in d |
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Out[]: True |
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Out[]: False |
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\end{lstlisting} |
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\end{frame} |
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In []: d.keys() |
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Out[]: ['py', 'txt', 'jpg'] |
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Out[]: ['python code', 'text file', |
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'image file'] |
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\inctime{10} |
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\end{frame} |
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\frametitle{Getting back to the problem} |
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Let our dictionary be: |
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\begin{lstlisting} |
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science = {} |
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Added sections, subsections and time estimates for session 3 day 1.
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\end{lstlisting} |
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\begin{itemize} |
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\item Keys will be region codes |
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\item Values will be the number students who scored more than 90\% in that region |
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\end{itemize} |
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\begin{block}{Sample \emph{science} dictionary} |
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\{'A': 729, 'C': 764, 'B': 1120,'E': 414, 'D': 603, 'F': 500\} |
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\end{block} |
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|
326 |
|
120
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327 |
\end{frame} |
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|
328 |
|
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|
329 |
\begin{frame}[fragile] |
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|
330 |
\frametitle{Building parsed data \ldots} |
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331 |
\begin{lstlisting} |
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|
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science = {} |
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333 |
|
120
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for record in open('sslc1.txt'): |
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record = record.strip() |
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fields = record.split(';') |
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|
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region_code = fields[0].strip() |
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|
339 |
\end{lstlisting} |
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Added NumPy array operations to session3 day1 for sslc1.txt.
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|
340 |
\end{frame} |
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|
341 |
|
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\begin{frame}[fragile] |
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\frametitle{Building parsed data \ldots} |
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|
344 |
\begin{lstlisting} |
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|
345 |
if region_code not in science: |
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Session 3 day 1, Statistical operations finalized.
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|
346 |
science[region_code] = 0 |
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Session 3 day 1, Statistical operations finalized.
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|
347 |
|
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|
348 |
score_str = fields[6].strip() |
204
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|
349 |
|
288
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|
350 |
score = int(score_str) if \ |
204
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Session 3 day 1, Statistical operations finalized.
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|
351 |
score_str != 'AA' else 0 |
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Session 3 day 1, Statistical operations finalized.
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|
352 |
|
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Session 3 day 1, Statistical operations finalized.
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|
353 |
if score > 90: |
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Session 3 day 1, Statistical operations finalized.
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changeset
|
354 |
science[region_code] += 1 |
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Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
355 |
\end{lstlisting} |
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Session 3 day 1, Statistical operations finalized.
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|
356 |
\end{frame} |
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Session 3 day 1, Statistical operations finalized.
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|
357 |
|
288
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|
358 |
\begin{frame}[fragile] |
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|
359 |
\frametitle{Building parsed data \ldots} |
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|
360 |
\begin{lstlisting} |
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|
361 |
print science |
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Reorganized slides.
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|
362 |
print science.keys() |
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Reorganized slides.
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|
363 |
print science.values() |
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Reorganized slides.
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|
364 |
\end{lstlisting} |
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Reorganized slides.
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|
365 |
\end{frame} |
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Reorganized slides.
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|
366 |
|
249
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Fixed typos and hanging words in Session 3 day 1.
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diff
changeset
|
367 |
\subsection{Visualizing data} |
204
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|
368 |
\begin{frame}[fragile] |
288
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|
369 |
\frametitle{Pie chart} |
204
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Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
370 |
\small |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
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|
371 |
\begin{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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|
372 |
pie(science.values(), |
288
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|
373 |
labels = science.keys()) |
204
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Session 3 day 1, Statistical operations finalized.
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diff
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|
374 |
title('Students scoring 90% and above |
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Session 3 day 1, Statistical operations finalized.
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|
375 |
in science by region') |
288
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|
376 |
savefig('science.png') |
204
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Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
377 |
\end{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
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|
378 |
\begin{columns} |
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Session 3 day 1, Statistical operations finalized.
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|
379 |
\column{5.25\textwidth} |
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Session 3 day 1, Statistical operations finalized.
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|
380 |
\hspace*{1.1in} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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|
381 |
\includegraphics[height=2in, interpolate=true]{data/science} |
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Session 3 day 1, Statistical operations finalized.
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|
382 |
\column{0.8\textwidth} |
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Session 3 day 1, Statistical operations finalized.
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diff
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|
383 |
\end{columns} |
288
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|
384 |
\inctime{10} |
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|
385 |
\end{frame} |
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Reorganized slides.
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|
386 |
|
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Reorganized slides.
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diff
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|
387 |
\begin{frame} |
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Reorganized slides.
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|
388 |
\frametitle{Problem statement} |
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|
389 |
\emphbar{b. Print mean, median and standard deviation of math scores for all regions combined.} |
204
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Session 3 day 1, Statistical operations finalized.
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|
390 |
\end{frame} |
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Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
391 |
|
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Session 3 day 1, Statistical operations finalized.
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|
392 |
\begin{frame}[fragile] |
288
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changeset
|
393 |
\frametitle{Building data for statistics} |
204
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|
394 |
\begin{lstlisting} |
288
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changeset
|
395 |
math_scores = [] |
204
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Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
396 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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|
397 |
for record in open('sslc1.txt'): |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
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|
398 |
record = record.strip() |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
399 |
fields = record.split(';') |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
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|
400 |
|
288
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|
401 |
score_str = fields[5].strip() |
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|
402 |
score = int(score_str) if \ |
204
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Session 3 day 1, Statistical operations finalized.
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|
403 |
score_str != 'AA' else 0 |
125
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
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diff
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|
404 |
|
288
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|
405 |
math_scores.append(score) |
170
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|
406 |
\end{lstlisting} |
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Reorganized the slides for sslc1.txt.
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|
407 |
\end{frame} |
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Reorganized the slides for sslc1.txt.
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|
408 |
|
249
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Fixed typos and hanging words in Session 3 day 1.
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diff
changeset
|
409 |
\subsection{Obtaining statistics} |
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Fixed typos and hanging words in Session 3 day 1.
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changeset
|
410 |
\begin{frame}[fragile] |
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Fixed typos and hanging words in Session 3 day 1.
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|
411 |
\frametitle{Obtaining statistics} |
288
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|
412 |
\begin{block}{Exercise} |
249
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diff
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|
413 |
Obtain the mean of Math scores |
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Fixed typos and hanging words in Session 3 day 1.
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|
414 |
\end{block} |
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Fixed typos and hanging words in Session 3 day 1.
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|
415 |
\end{frame} |
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Fixed typos and hanging words in Session 3 day 1.
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diff
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|
416 |
|
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Fixed typos and hanging words in Session 3 day 1.
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diff
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|
417 |
\begin{frame}[fragile] |
204
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diff
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|
418 |
\frametitle{Obtaining statistics} |
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diff
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|
419 |
\begin{lstlisting} |
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Session 3 day 1, Statistical operations finalized.
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|
420 |
print "Mean: ", mean(math_scores) |
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changeset
|
421 |
|
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Session 3 day 1, Statistical operations finalized.
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|
422 |
print "Median: ", median(math_scores) |
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Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
423 |
|
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Session 3 day 1, Statistical operations finalized.
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|
424 |
print "Standard Deviation: ", |
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Session 3 day 1, Statistical operations finalized.
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|
425 |
std(math_scores) |
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Session 3 day 1, Statistical operations finalized.
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|
426 |
\end{lstlisting} |
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\inctime{10} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{Obtaining statistics: efficiently!} |
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\begin{lstlisting} |
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math_array = array(math_scores) |
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print "Mean: ", mean(math_array) |
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print "Median: ", median(math_array) |
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print "Standard Deviation: ", |
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std(math_array) |
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\end{lstlisting} |
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\inctime{5} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{What tools did we use?} |
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\begin{itemize} |
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\item Dictionaries for storing data |
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\item Facilities for drawing pie charts |
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\item Efficient array manipulations |
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\item Functions for statistical computations - mean, median, standard deviation |
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\end{itemize} |
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\end{frame} |
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454 |
|
115 | 455 |
\end{document} |