\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{tkraybanks} \pdfinfo{ /Title (introduction-to-the-practice-of-statistics.pdf) /Creator (Cheatography) /Author (tkraybanks) /Subject (Introduction to The Practice of Statistics 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{Introduction to The Practice of Statistics Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{tkraybanks} via \textcolor{DarkBackground}{\uline{cheatography.com/158935/cs/33539/}}} \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}tkraybanks \\ \uline{cheatography.com/tkraybanks} \\ \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 5th August, 2022.\\ 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}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Definition(s)}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Statistics}} & Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. In addition, statistics is about providing a measure of confidence in any conclusions. \tn % Row Count 12 (+ 12) % Row 1 \SetRowColor{white} {\bf{Data}} & (1) A fact or proposition used to draw a conclusion or make a decision. Data can be numerical, or non-numerical. {\emph{A key aspect of data is that they vary}}. (2) The list of observed values for a variable. \tn % Row Count 23 (+ 11) % Row 2 \SetRowColor{LightBackground} {\bf{Population}} & The entire group of interest to be studied. \tn % Row Count 26 (+ 3) % Row 3 \SetRowColor{white} {\bf{Individual}} & A person or object that is a member of the population of interest being studied. \tn % Row Count 30 (+ 4) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Definition(s) (cont)}} \tn % Row 4 \SetRowColor{LightBackground} {\bf{ A statistic}} & A numerical summary of a sample. \tn % Row Count 2 (+ 2) % Row 5 \SetRowColor{white} {\bf{Descriptive Statistics}} & Consist of organizing and summarizing data. Descriptive statistics describe data through numerical summaries, tables, and graphs. \tn % Row Count 9 (+ 7) % Row 6 \SetRowColor{LightBackground} {\bf{Inferential Statistics}} & Uses methods that take a result from a sample, extend it to the population, and measure the reliability of the result. \tn % Row Count 15 (+ 6) % Row 7 \SetRowColor{white} {\bf{Parameter}} & A numerical summary of a population. \tn % Row Count 17 (+ 2) % Row 8 \SetRowColor{LightBackground} {\bf{Variables}} & The characteristics of the individuals within the population. \tn % Row Count 21 (+ 4) % Row 9 \SetRowColor{white} {\bf{Qualitative (categorical) Variables}} & Allow for classification of individuals based on some attribute or characteristic. \tn % Row Count 26 (+ 5) % Row 10 \SetRowColor{LightBackground} {\bf{Quantitative (numerical) Variables}} & Provide numerical measures of individuals. The values of a quantitative variable can be added or subtracted and provide meaningful results. \tn % Row Count 33 (+ 7) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Definition(s) (cont)}} \tn % Row 11 \SetRowColor{LightBackground} {\bf{Approach}} & A way to look at and organize a problem so that it may be solved. Remember that many problems have more than one approach leading to a correct solution. \tn % Row Count 8 (+ 8) % Row 12 \SetRowColor{white} {\bf{Discrete (countable) Variable}} & A discrete variable is a quantitative variable that has either a finite number of possible values or a countable number of possible values. The term countable means that the values result from counting, such as 0, 1, 2, 3, and so on. A discrete variable cannot take on every possible value between any two possible values. \tn % Row Count 25 (+ 17) % Row 13 \SetRowColor{LightBackground} {\bf{Continuous (measurable) Variable}} & A continuous variable is a quantitative variable that has an infinite number of possible values that are not countable. A continuous variable may take on every possible value between any two values. \tn % Row Count 35 (+ 10) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Definition(s) (cont)}} \tn % Row 14 \SetRowColor{LightBackground} {\bf{Qualitative Data}} & Observations corresponding to a qualitative variable. \tn % Row Count 3 (+ 3) % Row 15 \SetRowColor{white} {\bf{Quantitative Data}} & Observations corresponding to a quantitative variable. These can be broken down into two categories: 1) {\bf{Discrete Data}} - observations corresponding to a discrete (countable) variable. 2) {\bf{Continuous Data}} - Observations corresponding to a continuous (measurable) variable. \tn % Row Count 17 (+ 14) % Row 16 \SetRowColor{LightBackground} {\bf{Nominal Level of Measurement}} & A variable is at the nominal level of measurement if the values of the variable name, label, or categorize. In addition, the naming scheme does not allow for the values of the variable to be arranged in a ranked or specific order \tn % Row Count 29 (+ 12) % Row 17 \SetRowColor{white} {\bf{Ordinal Level of Measurement}} & A variable is at the ordinal level of measurement if it has the properties of the nominal level of measurement, however, the naming scheme allows for the values of the variable to be arranged in a ranked or specific order. \tn % Row Count 41 (+ 12) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Definition(s) (cont)}} \tn % Row 18 \SetRowColor{LightBackground} {\bf{Interval Level of Measurement}} & A variable is at the interval level of measurement if it has the properties of the ordinal level of measurement and the differences in the values of the variable have meaning. A value of zero does not mean the absence of the quantity. Arithmetic operations such as addition and subtraction can be performed on values of the variable. \tn % Row Count 17 (+ 17) % Row 19 \SetRowColor{white} {\bf{Ratio Level of Measurement}} & A variable is at the ratio level of measurement if it has the properties of the interval level of measurement and the ratios of the values of the variable have meaning. A value of zero means the absence of the quantity. Arithmetic operations such as multiplication and division can be performed on the values of the variable. \tn % Row Count 34 (+ 17) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{The Process of Statistics}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{1. Identify the research objective. A researcher must determine the question(s) he or she wants answered. The question(s) must clearly identify the population that is to be studied. 2. Collect the data needed to answer the question(s) posed in (1). Conducting research on an entire population is often difficult and expensive, so we typically look at a sample. This step is vital to the statistical process, because if the data are not collected correctly, the conclusions drawn are meaningless. Do not overlook the importance of appropriate data collection. We discuss this step in detail in Sections 1.2 through 1.6. 3. Describe the data. Descriptive statistics allow the researcher to obtain an overview of the data and can help determine the type of statistical methods the researcher should use. We discuss this step in detail in Chapters 2 through 4. 4. Perform inference. Apply the appropriate techniques to extend the results obtained from the sample to the population and report a level of reliability of the results. We discuss techniques for measuring reliability in Chapters 5 through 8 and inferential techniques in Chapters 9 through 15.} \tn % Row Count 24 (+ 24) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}