\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{o1510} \pdfinfo{ /Title (stat-100-chapter-3-and-4.pdf) /Creator (Cheatography) /Author (o1510) /Subject (STAT 100 Chapter 3 and 4 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{STAT 100 Chapter 3 and 4 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{o1510} via \textcolor{DarkBackground}{\uline{cheatography.com/32658/cs/10976/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}o1510 \\ \uline{cheatography.com/o1510} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 22nd February, 2017.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{p{0.4977 cm} x{4.4793 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Ch 4 Sampling errors}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{sampling errors: caused by the act of taking a sample. They cause sample results to be different from the results of a census} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Random Sampling error: the deviation between the sample statistic and the population parameter caused by change in selecting a random sample.} \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} & The margin of error in a confidence statement includes only random sampling error. \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Non-sampling Error: errors not related to the act of selecting a sample from the population. They can be present even in a census.} \tn % Row Count 12 (+ 3) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Undercoverage: occurs when some groups in the population are left out of the process of choosing a sample.} \tn % Row Count 15 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Questions to Ask Before Believing a Poll.}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Who carried out the survey? Any personal gain from outcome?} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{What was the population? Whose opinions were being asked?} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{How was the sample selected? Look for mention of random sampling.} \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{How large was the sample? Even better, find out both the sample size and margin of error within which results of 95\% of all samples drawn as this one was would fall.} \tn % Row Count 10 (+ 4) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{What was the response rate? what percent of the original subjects actually provided information} \tn % Row Count 12 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{How were the subjects contacted? Phone, mail, face to face} \tn % Row Count 14 (+ 2) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{When was the survey conducted? Was it just after some event that might have influenced opinion?} \tn % Row Count 16 (+ 2) % Row 7 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{What were the exact questions asked?} \tn % Row Count 17 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} x{4.4793 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Nonsampling Errors}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Nonsampling errors can be present in a census} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Processing error: mistakes in mechanical tasks such as imput.} \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Response error: when a subject gives an incorrect response (lies/doesn't understand)} \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Nonresponse: failure to obtain data from an individual selected for a sample. Most nonresponse happens because subjects can't be contacted or because some subjects contacted refuse to cooperate} \tn % Row Count 9 (+ 4) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{What the Margin of error doesn't say:} \tn % Row Count 10 (+ 1) % Row 5 \SetRowColor{white} & covers only random sampling error. \tn % Row Count 11 (+ 1) % Row 6 \SetRowColor{LightBackground} & nonresponse, under coverage and other practical difficulties can cause large bias that is not covered by margin of error. \tn % Row Count 15 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} x{4.4793 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{How to Live with Non sampling Errors}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{First: substitute other households for non responders.} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} & Replacing nonresponders with other households in the same neighbourhood may reduce bias. \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Once all the data is in, weight the responses.} \tn % Row Count 6 (+ 1) % Row 3 \SetRowColor{white} & Weighting is an attempt to correct sources of bias. For example, if there are too many households that did not respond, the survey gives weight to the houses that did respond. \tn % Row Count 11 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} x{4.4793 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Wording Questions}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{question wording may influence the results of a sample survey} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{If the questions are slanted to favor one response over others, we have another source of non sampling error.} \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Taking the sample in several stages with clusters at the final stage saves time for interviewers grouping the sample households first in PSUs and then in clusters.} \tn % Row Count 9 (+ 4) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Stratified Sample:} \tn % Row Count 10 (+ 1) % Row 4 \SetRowColor{LightBackground} & step 1: divide the sampling frame into distinct groups of individuals, called strata. \tn % Row Count 13 (+ 3) % Row 5 \SetRowColor{white} & step 1.2: choose the strata according to any special interest you have in certain groups within the population or because the individuals in each stratum resemble each other. \tn % Row Count 18 (+ 5) % Row 6 \SetRowColor{LightBackground} & step 2: take a separate SRS in each stratum and combine these to make up the complete sample. \tn % Row Count 21 (+ 3) % Row 7 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Probability Sample: chosen by chance. Know what samples are possible and what chance/probability each possible sample has.} \tn % Row Count 24 (+ 3) % Row 8 \SetRowColor{LightBackground} & Some probability samples, such as stratified samples, don't allow all possible samples from the population and may not give an equal chance to all the samples they do allow. \tn % Row Count 29 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}