author | Puneeth Chaganti <punchagan@fossee.in> |
Tue, 27 Oct 2009 19:36:09 +0530 | |
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parent 210 | 2d41487bc6fe |
parent 208 | c663c8daa109 |
child 216 | c6704d4a18bd |
permissions | -rw-r--r-- |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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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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\documentclass[14pt,compress]{beamer} |
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%\documentclass[draft]{beamer} |
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%\documentclass[compress,handout]{beamer} |
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%\usepackage{pgfpages} |
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%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm] |
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% Modified from: generic-ornate-15min-45min.de.tex |
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\mode<presentation> |
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{ |
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\usetheme{Warsaw} |
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\useoutertheme{split} |
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\setbeamercovered{transparent} |
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} |
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\usepackage[english]{babel} |
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\usepackage[latin1]{inputenc} |
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%\usepackage{times} |
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\usepackage[T1]{fontenc} |
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% Taken from Fernando's slides. |
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\usepackage{ae,aecompl} |
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\usepackage{mathpazo,courier,euler} |
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\usepackage[scaled=.95]{helvet} |
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\usepackage{amsmath} |
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\definecolor{darkgreen}{rgb}{0,0.5,0} |
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\usepackage{listings} |
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\lstset{language=Python, |
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basicstyle=\ttfamily\bfseries, |
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commentstyle=\color{red}\itshape, |
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stringstyle=\color{darkgreen}, |
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showstringspaces=false, |
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keywordstyle=\color{blue}\bfseries} |
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% Macros |
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\setbeamercolor{emphbar}{bg=blue!20, fg=black} |
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\newcommand{\emphbar}[1] |
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{\begin{beamercolorbox}[rounded=true]{emphbar} |
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{#1} |
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\end{beamercolorbox} |
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} |
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\newcounter{time} |
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\setcounter{time}{0} |
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\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}} |
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\newcommand{\typ}[1]{\lstinline{#1}} |
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\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} } |
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%%% This is from Fernando's setup. |
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% \usepackage{color} |
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% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2} |
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% % Use and configure listings package for nicely formatted code |
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% \usepackage{listings} |
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% \lstset{ |
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% language=Python, |
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% basicstyle=\small\ttfamily, |
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% commentstyle=\ttfamily\color{blue}, |
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% stringstyle=\ttfamily\color{orange}, |
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% showstringspaces=false, |
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% breaklines=true, |
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% postbreak = \space\dots |
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% } |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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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[] {31, October 2009\\Day 1, Session 3} |
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%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo} |
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\frametitle{Outline} |
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} |
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} |
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% If you wish to uncover everything in a step-wise fashion, uncomment |
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% the following command: |
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%\beamerdefaultoverlayspecification{<+->} |
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%\includeonlyframes{current,current1,current2,current3,current4,current5,current6} |
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% DOCUMENT STARTS |
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\begin{document} |
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\maketitle |
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%% \begin{frame} |
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%% \frametitle{Outline} |
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%% \tableofcontents |
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%% % You might wish to add the option [pausesections] |
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%% \end{frame} |
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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--1m records--data file.\\How do we do \emph{efficient} statistical computations, that is find mean, median, mode, standard deveiation 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{Statistical Analysis and Parsing} |
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Read the data supplied in \emph{sslc1.txt} and obtain the following statistics: |
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\begin{itemize} |
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\item Draw a pie chart representing the number of students who scored more than 90\% in Science per region. |
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\item Draw a pie chart representing the number of students who scored more than 90\% per subject(All regions combined). |
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\item Print mean, median, mode and standard deviation of math scores for all regions combined. |
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\end{itemize} |
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\end{frame} |
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\begin{frame} |
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\frametitle{Statistical Analysis and Parsing \ldots} |
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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 NumPy arrays |
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\item Statistical operations |
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\end{itemize} |
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\end{frame} |
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\begin{frame} |
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\frametitle{File reading and parsing} |
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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 corresponds to one student's details |
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\item aka record |
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\item Each record consists of several fields separated by a ';' |
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\end{itemize} |
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\end{frame} |
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\begin{frame} |
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\frametitle{File reading and parsing \ldots} |
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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 Withdrawn (W) |
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\end{itemize} |
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\end{frame} |
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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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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Dictionary: 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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\begin{block}{Example} |
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d = \{ ``Hitchhiker's guide'' : 42, |
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``Terminator'' : ``I'll be back''\}\\ |
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d[``Terminator''] => ``I'll be back'' |
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\end{block} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Dictionary: Introduction} |
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\begin{lstlisting} |
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In [1]: d = {"Hitchhiker's guide" : 42, |
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"Terminator" : "I'll be back"} |
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In [2]: d["Hitchhiker's guide"] |
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Out[2]: 42 |
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In [3]: "Hitchhiker's guide" in d |
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Out[3]: True |
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In [4]: "Guido" in d |
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Out[4]: False |
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\end{lstlisting} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Dictionary: Introduction} |
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\begin{lstlisting} |
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In [5]: d.keys() |
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Out[5]: ['Terminator', "Hitchhiker's |
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guide"] |
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In [6]: d.values() |
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Out[6]: ["I'll be back", 42] |
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\end{lstlisting} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{enumerate: Iterating through list indices} |
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\begin{lstlisting} |
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In [1]: names = ["Guido","Alex", "Tim"] |
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In [2]: for i, name in enumerate(names): |
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...: print i, name |
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...: |
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0 Guido |
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1 Alex |
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2 Tim |
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\end{lstlisting} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Dictionary: Building parsed data} |
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Let our dictionary be: |
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\begin{lstlisting} |
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science = {} # is an empty dictionary |
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\end{lstlisting} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{Dictionary - Building parsed data} |
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\begin{itemize} |
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\item \emph{Keys} of \emph{science} will be region codes |
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\item Value of a \emph{science} will be the number students who scored more than 90\% in that region |
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\end{itemize} |
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\end{frame} |
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\begin{frame}[fragile] |
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\frametitle{Building parsed data \ldots} |
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\begin{lstlisting} |
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from pylab import pie |
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science = {} |
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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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region_code = fields[0].strip() |
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\end{lstlisting} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{Building parsed data \ldots} |
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\begin{lstlisting} |
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if region_code not in science: |
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science[region_code] = 0 |
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|
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score_str = fields[4].strip() |
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score = int(score_str) if |
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score_str != 'AA' else 0 |
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|
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if score > 90: |
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science[region_code] += 1 |
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\end{lstlisting} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{Pie charts} |
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\small |
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\begin{lstlisting} |
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figure(1) |
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pie(science.values(), |
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labels=science.keys()) |
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title('Students scoring 90% and above |
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in science by region') |
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savefig('/tmp/science.png') |
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\end{lstlisting} |
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\begin{columns} |
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\column{5.25\textwidth} |
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|
307 |
\hspace*{1.1in} |
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Session 3 day 1, Statistical operations finalized.
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changeset
|
308 |
\includegraphics[height=2in, interpolate=true]{data/science} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
309 |
\column{0.8\textwidth} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
310 |
\end{columns} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
311 |
\end{frame} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
312 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
313 |
\begin{frame}[fragile] |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
314 |
\frametitle{Building data for all subjects \ldots} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
315 |
\begin{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
316 |
from pylab import pie |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
317 |
from scipy import mean, median, std |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
318 |
from scipy import stats |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
319 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
320 |
scores = [[]] * 5 |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
321 |
ninety_percents = [{}] * 5 |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
322 |
\end{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
323 |
\end{frame} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
324 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
325 |
\begin{frame}[fragile] |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
326 |
\frametitle{Building data for all subjects \ldots} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
327 |
\begin{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
328 |
from pylab import pie |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
329 |
from scipy import mean, median, std |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
330 |
from scipy import stats |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
331 |
\end{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
332 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
333 |
\begin{block}{Repeating list items} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
334 |
\begin{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
335 |
scores = [[]] * 5 |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
336 |
ninety_percents = [{}] * 5 |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
337 |
\end{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
338 |
\end{block} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
339 |
\end{frame} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
340 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
341 |
\begin{frame}[fragile] |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
342 |
\frametitle{Building data for all subjects \ldots} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
343 |
\begin{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
344 |
for record in open('sslc1.txt'): |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
345 |
record = record.strip() |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
346 |
fields = record.split(';') |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
347 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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diff
changeset
|
348 |
region_code = fields[0].strip() |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
349 |
\end{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
350 |
\end{frame} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
351 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
352 |
\begin{frame}[fragile] |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
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diff
changeset
|
353 |
\frametitle{Building data for all subjects \ldots} |
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
354 |
\small |
125
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
120
diff
changeset
|
355 |
\begin{lstlisting} |
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
356 |
for i, field in enumerate(fields[3:8]): |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
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diff
changeset
|
357 |
if region_code not in ninety_percents[i]: |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
358 |
ninety_percents[i][region_code] = 0 |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
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diff
changeset
|
359 |
|
9efa777af2e2
Reworked on Session 3 day 1 slides.
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parents:
178
diff
changeset
|
360 |
score_str = field.strip() |
204
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
192
diff
changeset
|
361 |
score = int(score_str) if |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
192
diff
changeset
|
362 |
score_str != 'AA' else 0 |
125
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
120
diff
changeset
|
363 |
|
204
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
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parents:
192
diff
changeset
|
364 |
scores[i].append(score) |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
365 |
|
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
366 |
if score > 90: |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
367 |
ninety_percents[i][region_code] += 1 |
125
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
120
diff
changeset
|
368 |
\end{lstlisting} |
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
120
diff
changeset
|
369 |
\end{frame} |
120
055b199c46c2
Added NumPy array operations to session3 day1 for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
117
diff
changeset
|
370 |
|
125
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
120
diff
changeset
|
371 |
\begin{frame}[fragile] |
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
372 |
\frametitle{Consolidating data} |
125
99ca3cb18fd2
Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
120
diff
changeset
|
373 |
\begin{lstlisting} |
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
374 |
subj_total = [] |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
375 |
for subject in ninety_percents: |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
376 |
subj_total.append(sum( |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
377 |
subject.values())) |
170
36ed5cdf5fde
Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
167
diff
changeset
|
378 |
\end{lstlisting} |
36ed5cdf5fde
Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
167
diff
changeset
|
379 |
\end{frame} |
36ed5cdf5fde
Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
167
diff
changeset
|
380 |
|
36ed5cdf5fde
Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
167
diff
changeset
|
381 |
\begin{frame}[fragile] |
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
382 |
\frametitle{Pie charts} |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
383 |
\begin{lstlisting} |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
384 |
figure(2) |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
385 |
pie(subj_total, labels=['English', |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
386 |
'Hindi', 'Maths', 'Science', |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
387 |
'Social']) |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
388 |
title('Students scoring more than |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
389 |
90% by subject(All regions |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
390 |
combined).') |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
391 |
savefig('/tmp/all_regions.png') |
120
055b199c46c2
Added NumPy array operations to session3 day1 for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
117
diff
changeset
|
392 |
\end{lstlisting} |
055b199c46c2
Added NumPy array operations to session3 day1 for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
117
diff
changeset
|
393 |
\end{frame} |
055b199c46c2
Added NumPy array operations to session3 day1 for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
117
diff
changeset
|
394 |
|
166
ddfd95133adc
Taken task based approach for Session 3, day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
161
diff
changeset
|
395 |
\begin{frame}[fragile] |
184
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
396 |
\frametitle{Pie charts} |
9efa777af2e2
Reworked on Session 3 day 1 slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
178
diff
changeset
|
397 |
\includegraphics[height=3in, interpolate=true]{data/all_regions} |
166
ddfd95133adc
Taken task based approach for Session 3, day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
161
diff
changeset
|
398 |
\end{frame} |
ddfd95133adc
Taken task based approach for Session 3, day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
161
diff
changeset
|
399 |
|
174
a43832c1edc2
Reordered Session 3 Day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
170
diff
changeset
|
400 |
\begin{frame}[fragile] |
204
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
401 |
\frametitle{Obtaining statistics} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
402 |
\begin{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
403 |
math_scores = array(scores[2]) |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
404 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
405 |
print "Mean: ", mean(math_scores) |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
406 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
407 |
print "Median: ", median(math_scores) |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
408 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
409 |
print "Mode: ", stats.mode(math_scores) |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
410 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
411 |
print "Standard Deviation: ", |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
412 |
std(math_scores) |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
413 |
\end{lstlisting} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
414 |
\end{frame} |
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
415 |
|
87f914f38ba1
Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
192
diff
changeset
|
416 |
\begin{frame}[fragile] |
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417 |
\frametitle{What tools did we use?} |
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418 |
\begin{itemize} |
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419 |
\item Dictionaries for storing data |
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420 |
\item Facilities for drawing pie charts |
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421 |
\item NumPy arrays for efficient array manipulations |
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422 |
\item Functions for statistical computations - mean, median, mode, standard deviation |
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423 |
\end{itemize} |
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424 |
\end{frame} |
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425 |
|
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\begin{frame} |
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\frametitle{L vs $T^2$ \ldots} |
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428 |
Let's go back to the L vs $T^2$ plot |
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\begin{itemize} |
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\item We first look at obtaining $T^2$ from T |
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\item Then, we look at plotting a Least Squares fit |
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432 |
\end{itemize} |
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\end{frame} |
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|
204
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\begin{frame}[fragile] |
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\frametitle{Dealing with data whole-sale} |
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\begin{lstlisting} |
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In []: for t in T: |
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....: TSq.append(t*t) |
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\end{lstlisting} |
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\begin{itemize} |
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\item This is not very efficient |
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\item We are squaring element after element |
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\item We use arrays to make this efficient |
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\end{itemize} |
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\begin{lstlisting} |
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In []: L = array(L) |
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In []: T = array(T) |
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In []: TSq = T*T |
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\end{lstlisting} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{Arrays} |
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\begin{itemize} |
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\item \typ{T} and \typ{L} are now arrays |
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\item arrays are very efficient and powerful |
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\item Very easy to perform element-wise operations |
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\item \typ{+, -, *, /, \%} |
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\item More about arrays later |
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\end{itemize} |
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\end{frame} |
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463 |
|
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\begin{frame}[fragile] |
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465 |
\frametitle{Least Squares Fit} |
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466 |
\vspace{-0.15in} |
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\begin{figure} |
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468 |
\includegraphics[width=4in]{data/L-Tsq-Line.png} |
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469 |
\end{figure} |
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470 |
\end{frame} |
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471 |
|
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472 |
\begin{frame}[fragile] |
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473 |
\frametitle{Least Squares Fit} |
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474 |
\vspace{-0.15in} |
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475 |
\begin{figure} |
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476 |
\includegraphics[width=4in]{data/L-Tsq-points.png} |
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477 |
\end{figure} |
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478 |
\end{frame} |
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479 |
|
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480 |
\begin{frame}[fragile] |
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481 |
\frametitle{Least Squares Fit} |
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482 |
\vspace{-0.15in} |
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483 |
\begin{figure} |
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484 |
\includegraphics[width=4in]{data/least-sq-fit.png} |
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485 |
\end{figure} |
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486 |
\end{frame} |
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487 |
|
174
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488 |
\begin{frame} |
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489 |
\frametitle{Least Square Fit Curve} |
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490 |
\begin{itemize} |
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491 |
\item $T^2$ and $L$ have a linear relationship |
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492 |
\item Hence, Least Square Fit Curve is a line |
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493 |
\item we shall use the \typ{lstsq} function |
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494 |
\end{itemize} |
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495 |
\end{frame} |
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496 |
|
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497 |
\begin{frame}[fragile] |
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498 |
\frametitle{\typ{lstsq}} |
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499 |
\begin{itemize} |
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500 |
\item We need to fit a line through points for the equation $T^2 = m \cdot L+c$ |
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\item The equation can be re-written as $T^2 = A \cdot p$ |
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502 |
\item where A is |
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503 |
$\begin{bmatrix} |
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504 |
L_1 & 1 \\ |
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505 |
L_2 & 1 \\ |
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506 |
\vdots & \vdots\\ |
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L_N & 1 \\ |
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508 |
\end{bmatrix}$ |
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509 |
and p is |
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510 |
$\begin{bmatrix} |
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511 |
m\\ |
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512 |
c\\ |
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513 |
\end{bmatrix}$ |
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514 |
\item We need to find $p$ to plot the line |
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515 |
\end{itemize} |
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516 |
\end{frame} |
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517 |
|
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\begin{frame}[fragile] |
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\frametitle{Van der Monde Matrix} |
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520 |
\begin{itemize} |
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\item A is also called a Van der Monde matrix |
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\item It can be generated using \typ{vander} |
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\end{itemize} |
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524 |
Van der Monde matrix of order M |
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\begin{equation*} |
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\begin{bmatrix} |
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l_1^{M-1} & \ldots & l_1 & 1 \\ |
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528 |
l_2^{M-1} & \ldots &l_2 & 1 \\ |
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\vdots & \ldots & \vdots & \vdots\\ |
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l_N^{M-1} & \ldots & l_N & 1 \\ |
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\end{bmatrix} |
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\end{equation*} |
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\begin{lstlisting} |
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In []: A = vander(L,2) |
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\end{lstlisting} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{\typ{lstsq} \ldots} |
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\begin{itemize} |
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\item Now use the \typ{lstsq} function |
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\item Along with a lot of things, it returns the least squares solution |
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\end{itemize} |
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\begin{lstlisting} |
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In []: coef, res, r, s = lstsq(A,TSq) |
174
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\end{lstlisting} |
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\end{frame} |
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|
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\begin{frame}[fragile] |
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\frametitle{Least Square Fit Line \ldots} |
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We get the points of the line from \typ{coef} |
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\begin{lstlisting} |
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In []: Tline = coef[0]*L + coef[1] |
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\end{lstlisting} |
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\begin{itemize} |
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\item Now plot Tline vs. L, to get the Least squares fit line. |
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\end{itemize} |
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\begin{lstlisting} |
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In []: plot(L, Tline) |
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\end{lstlisting} |
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\end{frame} |
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562 |
|
115 | 563 |
\end{document} |