\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{SH (Sana\_H)} \pdfinfo{ /Title (data-analysis-in-psychological-research.pdf) /Creator (Cheatography) /Author (SH (Sana\_H)) /Subject (Data Analysis in Psychological Research 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}{A33455} \definecolor{LightBackground}{HTML}{F9F2F4} \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{Data Analysis in Psychological Research Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{SH (Sana\_H)} via \textcolor{DarkBackground}{\uline{cheatography.com/164538/cs/34507/}}} \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}SH (Sana\_H) \\ \uline{cheatography.com/sana-h} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 9th January, 2023.\\ Updated 9th January, 2023.\\ 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{tabularx}{17.67cm}{x{4.1175 cm} x{4.1175 cm} x{4.1175 cm} x{4.1175 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{17.67cm}}{\bf\textcolor{white}{Analysis}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Data Analysis}} means examinig, sorting, \seqsplit{categorising}, comparing and \seqsplit{evaluating} the coded data & {\bf{Types of Analysis}} & {\bf{Descriptive Statistics}}-techniques used to summarize and display numerical data.This provides a general \seqsplit{understanding} of trends in the data & These include: central tendency,\{\{nl\}\}variability\{\{nl\}\}skewness,\{\{nl\}\}ANOVA/MANOVA,\{\{nl\}\}correlation,\{\{nl\}\}regression,\{\{nl\}\}canonical analysis \tn % Row Count 15 (+ 15) % Row 1 \SetRowColor{white} {\bf{Processing of Data}} \{\{nl\}\}Preparing data for analysis & \seqsplit{Editing-processing} raw data, detect errors\{\{nl\}\}Coding-assigning symbols to responses to be put into categories\{\{nl\}\}Classification- reduce to groups\{\{nl\}\}Tabulation-arranging in logical order\{\{nl\}\}Using \seqsplit{percentages} & {\bf{Inferential Statistics}} or \seqsplit{Statistical} Analysis- draw \seqsplit{conclusions}, \seqsplit{generalize} results from sample to the \seqsplit{population}, find \seqsplit{meaningful} \seqsplit{relationship} from data, and reduce \seqsplit{possibility} of error & These include: \seqsplit{hypothesis} testing \seqsplit{(parametric}, \seqsplit{nonparametric} tests),\{\{nl\}\}estimaition of parameter values \tn % Row Count 37 (+ 22) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{3.454 cm} x{13.816 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Measures of Central Tendency}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Mean}} & arithmetic average of distribution of numbers \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} {\bf{Median}} & middle score in an ordered distribution \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} {\bf{Mode}} & most frequently occuring score ina distribution \tn % Row Count 6 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{8.4623 cm} x{8.8077 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Distribution of Data}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Normal Probability Curve (NPC/NDC)}} & special type of density curve that is bell shaped\{\{nl\}\}describes tendency of most data to normally cluster around the middle \tn % Row Count 7 (+ 7) % Row 1 \SetRowColor{white} {\bf{Skewness}} & non symmetrical data\{\{nl\}\}collection of data on either side of the curve \tn % Row Count 11 (+ 4) % Row 2 \SetRowColor{LightBackground} {\bf{Kurtosis}} & peaked or flat distribution of data \tn % Row Count 13 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{NPC}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/sana-h_1664990230_CL-23900V_image_008.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{NPC.1}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/sana-h_1664990282_A-normal-probability-distribution-curve-Figure-Downloaded-from-the-Internet.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{skewness}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/sana-h_1664990371_skewness.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{kurtosis}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/sana-h_1664990421_kurtosis.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{correlation}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/sana-h_1665252414_core.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{5.7358 cm} x{5.5671 cm} x{5.5671 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{17.67cm}}{\bf\textcolor{white}{Measures of Relationship}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Univariate}} (one variable( & {\bf{Bivariate}} (two variables) & {\bf{Multivariate}} (more than two variables) \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} {\bf{one way ANOVA}}- analysis of variance which is one directional, x - y\{\{nl\}\}{\bf{Index Number}} - measure of relative change in magnitude of a variable (change in price of commodity in the span of a year)\{\{nl\}\}{\bf{Time series analysis}} - \seqsplit{observationof} a phenomenon over a period of time (trend analysis) & {\bf{Simple Correlation}}- determine the strength and direction of relationship between two variables\{\{nl\}\}{\bf{Simple Regression}}-study cause and effect relationship, \seqsplit{determination} of statistical relationship between two/more variables, used for prediction of future values\{\{nl\}\}Two way ANOVA & {\bf{Multiple Regression and Multiple correlation}}\{\{nl\}\}{\bf{Multiple discriminant analysis}}-tech to distinguish datasets obf particular charac\{\{nl\}\}{\bf{MANOVA}}\{\{nl\}\}{\bf{Canonical Analysis}}-determining relationship between two sets of variables \seqsplit{simultaneously} \tn % Row Count 28 (+ 24) % Row 2 \SetRowColor{LightBackground} {\emph{The strength of the relationship will always range between +1.00 and -1.00 If the number is closer to +1.00 or -1.00, it indicates a strong correlation between the variable. The closer the number is to 0, the weaker the relationship becomes}} & bivariate contd.\{\{nl\}\}{\bf{Coefficient of Association}}- indicates strength of relationship between variables\{\{nl\}\}{\bf{Coefficient of Contingency}}- indicates whether the IV and DV are dependent or independent of each other & mulitvariate contd.\{\{nl\}\}{\bf{Factor Analysis}}-data reduction system\{\{nl\}\}{\bf{Cluster Analysis}}-used to classify objects into groups where objects in one group are more similar to each other and different from objects in other groups \tn % Row Count 47 (+ 19) \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{5.7358 cm} x{5.5671 cm} x{5.5671 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{17.67cm}}{\bf\textcolor{white}{Measures of Relationship (cont)}} \tn % Row 3 \SetRowColor{LightBackground} {\emph{correlation does not prove causation}} & {\emph{correlation can be studied through: Charles Spearman's coefficient OR Karl Pearson's coefficient}} & \tn % Row Count 8 (+ 8) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{8.635 cm} x{8.635 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Statistical Significance}} \tn % Row 0 \SetRowColor{LightBackground} Used to determine whether the differences in the data set are significant or not, i.e whether the differences are real and not caused due to random variations of the experiment. It gives us a probability that the results were caused by chance and not by experimental manipulation & {\bf{Type I error}}-we accept Ho when it is false\{\{nl\}\}{\bf{Type II error}}- we reject Ho when it is true \tn % Row Count 14 (+ 14) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{17.67cm}}{Probability is denoted by {\bf{{\emph{p}}}} indicating the difference due to chance\{\{nl\}\}For ex. If p \textless{} 0.05, it means that there is a 5 out of 100 probability of result being due to chance OR 95\% certain that results were real and not due to chance} \tn % Row Count 19 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{6.0445 cm} x{11.2255 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Measures of Variability/Dispersion}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Variance}} & measure of how much values in a dataset differ from the mean\{\{nl\}\}the amount of dispersion of scores \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} {\bf{Range}} & difference between values of extreme items(highest and lowest scores) \tn % Row Count 7 (+ 3) % Row 2 \SetRowColor{LightBackground} {\bf{Standard Deviation}} & average distance between the scores and the mean OR\{\{nl\}\}avergae squared deviations from the mean scores in a distribution \tn % Row Count 12 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{x{8.635 cm} x{8.635 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Inferential Statistics}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Point estimate}}- a single value, best estimate of a parameter\{\{nl\}\}{\bf{Interval estimate}}-a range of plausible values of a parameter & {\bf{Parametric test}}-specifies certain conditions about parameter of population, stronger than nonparametric tests\{\{nl\}\}normally distributed data\{\{nl\}\}ex. z test, t test, F test \tn % Row Count 9 (+ 9) % Row 1 \SetRowColor{white} & {\bf{Nonparametric tests}}-does not specify any conditions, {\emph{distribution free statistics}}, data does not fall under NPC\{\{nl\}\}ex. Man Whitney U test, Kendall's tau, chi-square test \tn % Row Count 18 (+ 9) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \end{document}