\documentclass[10pt,a4paper]{article}

% Packages
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\usepackage{multicol}           % Allows multicols in tables
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\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
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\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{Kaji}
\pdfinfo{
  /Title (statistiek-met-r.pdf)
  /Creator (Cheatography)
  /Author (Kaji)
  /Subject (Statistiek met R Cheat Sheet)
}

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\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Font and Colours
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% 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{Statistiek met R Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Kaji} via \textcolor{DarkBackground}{\uline{cheatography.com/63960/cs/19405/}}}
\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}Kaji \\
  \uline{cheatography.com/kaji} \\
  \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 23rd April, 2019.\\
   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

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% 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{10.7074 cm} x{6.5626 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{EXTRA}}  \tn
% Row 0
\SetRowColor{LightBackground}
Twee plots naast elkaar & `par(mfrow=c(1,2))` \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Plots naast elkaar uitschakelen & `dev.off()` \tn 
% Row Count 4 (+ 2)
\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}{Z-toets}}  \tn
% Row 0
\SetRowColor{LightBackground}
Standaardnormale verdeling & `dnorm(x (evt, mean=, sd=))` \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Standaardnormale verdeling plot & `plot(x, dnorm(x))` \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Kans berekenen & `pnorm(i, mean, sd)` \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
\seqsplit{Voorspellingsinterval} 95\% berekenen & `qnorm(c(0.025, 0.975), mean, sd` \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{Voorspellingsinterval} 99\% berekenen & `qnorm(c(0.05, 0.995), mean, sd)` \tn 
% Row Count 9 (+ 2)
% Row 5
\SetRowColor{white}
\seqsplit{Voorspellingsinterval} 95\% van steekproef berekenen & `qnorm(c(0.025, 0.975), mean, sd/sqrt(j))` \tn 
% Row Count 12 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{17.67cm}}{i = variabel dat je wilt testen \newline j = steekproefgrootte (n)}  \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}{T-test}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{17.67cm}}{Bij een gepaarde test, `t.test(na, voor, paired = T)`% Row Count 2 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{4.3862 cm} x{6.2419 cm} x{6.2419 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{17.67cm}}{\bf\textcolor{white}{Hypothesen}}  \tn
% Row 0
\SetRowColor{LightBackground}
\seqsplit{Shapiro-Wilk} test & H0: De data is normaal verdeeld. & HA: De data is niet normaal verdeeld. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
T-test & H0: Er is geen verschil tussen de \seqsplit{verwachtingswaarde} en het gemiddelde. & HA: Er is wel verschil tussen de \seqsplit{verwachtingswaarde} en het gemiddelde. \tn 
% Row Count 9 (+ 6)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{W-M-W-test} & H0: De populatie distributie van X1 en X2 is hetzelfde. & HA: De populatie distributie van X1 en X2 zijn niet hetzelfde \seqsplit{(verschillend)}. \tn 
% Row Count 15 (+ 6)
% Row 3
\SetRowColor{white}
\seqsplit{Chi-kwadraat} \seqsplit{homogeniteit} & H0: Er is geen \seqsplit{onafhankelijkheid}. (Geen verschil in verdeling) & HA: Er is geen \seqsplit{onafhankelijkheid}. (Wel verschil in verdeling.) \tn 
% Row Count 20 (+ 5)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{Chi-kwadraat} \seqsplit{goodness-of-fit} & H0: Er is geen verband tussen X1 en X2, & HA: Er is een verband tussen X1 en X2. \tn 
% Row Count 23 (+ 3)
% Row 5
\SetRowColor{white}
ANOVA & H0: Er is geen verschil in de \seqsplit{verwachtingswaarden}. & HA: Er is minimaal één van de gemiddelde die significant verschillend is van de andere gemiddelden. \tn 
% Row Count 31 (+ 8)
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{4.3862 cm} x{6.2419 cm} x{6.2419 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{17.67cm}}{\bf\textcolor{white}{Hypothesen (cont)}}  \tn
% Row 6
\SetRowColor{LightBackground}
The Sign test & H0: De distributie van X1 is hetzelfde als X2. & HA: De distributie van X1 is niet hetzelfde als X2. \tn 
% Row Count 4 (+ 4)
% Row 7
\SetRowColor{white}
WSR test & H0: Er is geen verschil in Y tussen X1 en X2. & HA: Er is wel verschil in Y tussen X1 en X2. \tn 
% Row Count 8 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{17.67cm}}{Shapiro Wilk test:  \newline P \textgreater{} 0.05? Data is normaal verdeeld. H0 niet verwerpen. \newline P \textless{} 0.05? Data niet normaal verdeeld. H0 verwerpen.  \newline    - De gevonden verschillen berusten niet alleen op toeval.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{12.6071 cm} x{4.6629 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Standaard berekeningen}}  \tn
% Row 0
\SetRowColor{LightBackground}
Gemiddelde & `mean()` \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Mediaan & \seqsplit{`median()`} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Variantie & `var()` \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Standaarddeviatie & `sd()` \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Kwantiel & \seqsplit{`quantile()`} \tn 
% Row Count 6 (+ 2)
% Row 5
\SetRowColor{white}
Gemiddelde, kwartielen en mediaan & \seqsplit{`summary()`} \tn 
% Row Count 8 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{7.0807 cm} x{10.1893 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Binomale testen}}  \tn
% Row 0
\SetRowColor{LightBackground}
Binomale verdeling voor plot & `dbinom(x, aantal, kans)` \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Kans berekenen & `pbinom(x, aantal, kans, lower.tail=TRUE)` \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Kwantielen & `qbinom(x, aantal, kans, lower.tail=TRUE)` \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
x & `seq(startwaarde, stopwaarde, stapgrootte)` \tn 
% Row Count 8 (+ 2)
\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}{Lineaire Regressie}}  \tn
% Row 0
\SetRowColor{LightBackground}
Scatterplot maken & `plot(y\textasciitilde{}x)` \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Lineaire regressielijn & `lm(y\textasciitilde{}x)` \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Regressielijn toevoegen in plot & \seqsplit{`lines(regressie\$fitted}.values\textasciitilde{}data\$x, type="l")` \tn 
% Row Count 6 (+ 3)
% Row 3
\SetRowColor{white}
Correlatie \seqsplit{coëfficiënt/bepalen} & `cor(x, y)` \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Sterkte van correlatie berekenen & `cor.test(x, y)` \tn 
% Row Count 10 (+ 2)
% Row 5
\SetRowColor{white}
Fitted waarden (verwachtte y-waarde) & `fitted(regressie)` \tn 
% Row Count 12 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Residue waarden (verschil tussen fitted en waargenomen) & `resid(regressie)` \tn 
% Row Count 15 (+ 3)
% Row 7
\SetRowColor{white}
Residue waarden in plot weergeven & `segments(x, y, x, fitted(regressie))` \tn 
% Row Count 17 (+ 2)
% Row 8
\SetRowColor{LightBackground}
Verschil fitted waarden tussen prediction interval & \seqsplit{`predict.lm(regressie}, int = 'prediction')` \tn 
% Row Count 20 (+ 3)
% Row 9
\SetRowColor{white}
Verschil fitted waarden tussen confidence interval & \seqsplit{`predict.lm(regressie}, int = 'confidence'` \tn 
% Row Count 23 (+ 3)
% Row 10
\SetRowColor{LightBackground}
Plot van opgestelde model & `abline(slope, interception)` \tn 
% Row Count 25 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{17.67cm}}{x \textless{}- variable met vaste waarden \newline y \textless{}- random \newline Y is somehow afhankelijk van X. \newline `regressie \textless{}- lm(y\textasciitilde{}x)`}  \tn 
\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}{Chi-kwadraat test}}  \tn
% Row 0
\SetRowColor{LightBackground}
Chi-kwadraat test ( χ2 berekenen) & chisq.test(x) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Voorspelde waarden bij geen verband & \seqsplit{chisq.test(x)\$expected} \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Verschil tussen verwachtte en gevonden waarden weergeven & \seqsplit{chisq.test(x)\$residuals} \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
Kwantielen om te plotten/grenswaarde van de grootheid χ2 & qchisq(0.99, df) \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Chi-kwadraat om te plotten & dchisq() \tn 
% Row Count 12 (+ 2)
% Row 5
\SetRowColor{white}
Conclusie & Er is wel/geen verband in verdeling tussen groepen. \tn 
% Row Count 15 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{17.67cm}}{Deze toets gebruiken voor data met een categorische respons: data die je in categorieën kan verdelen. \newline x = een matrix \newline df = degrees of freedom (aantal rijen -1 ) * (aantal kolommen -1) ! totaal niet meenemen}  \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}{Chi-kwadraat Goodness of Fit}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/kaji_1555962545_chisq.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{17.67cm}}{Komt een gevonden verdeling van waarden van één kwalitatief kenmerk overeen met verwachte verdeling? \newline Goodness of fit (aanpassing)  \newline 	bv: dobbelsteen, wordt elke zijde 1/6 van alle keren geworpen?}  \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}{Chi-kwadraat Homogeniteit}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/kaji_1555962793_chisqhg.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{17.67cm}}{Is er een verband tussen kwalitatieve kenmerken? \newline  independence and homogeneity (onafhankelijkheid en homogeniteit)  \newline 		bv: mannen/vrouwen en rokers/niet-rokers}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{6.7353 cm} x{10.5347 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Niet-parametrische testen}}  \tn
% Row 0
\SetRowColor{LightBackground}
Wilcoxon signed rank test & `wilcox.test(data1, data2, paired=TRUE, exact = TRUE, conf.level = (confidence level 0.95/0.99), conf.int = TRUE)` \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
Wilcoxon Mann-Whitney test & `wilcox.test(data1, data2, alternative = 'greater/less, exact = FALSE, conf.int = TRUE, conf.level = 0.95/0.99)` \tn 
% Row Count 10 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{17.67cm}}{Verschil toetsen bij niet-normaal verdeelde data.  \newline Bij onafhankelijke data: WMW. \newline Bij afhankelijke data: sign test of WSR. \newline Alternative alleen gebruiken bij eenzijdige toetsen.}  \tn 
\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}{ANOVA}}  \tn
% Row 0
\SetRowColor{LightBackground}
1) Kijken of elke groep data normaal verdeeld is & `shapiro.test()` \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
2) 1 kolom met waarden, 1 kolom met indicator & `stack()` \tn 
% Row Count 6 (+ 3)
% Row 2
\SetRowColor{LightBackground}
3.1) One-way ANOVA & `anova(lm(waardes\textasciitilde{}indicator))` \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
3.2a) Two-way ANOVA per factor & `anova(lm(waardes\textasciitilde{}indicator1 + indicator2))` \tn 
% Row Count 11 (+ 3)
% Row 4
\SetRowColor{LightBackground}
3.2b) Two-way ANOVA interactie testen & `anova(lm(waardes\textasciitilde{}indicator1 : indicator2))` \tn 
% Row Count 14 (+ 3)
% Row 5
\SetRowColor{white}
3.2c) Two-way ANOVA factor + interactie & `anova(lm(waardes\textasciitilde{}indicator1 * indicator2))` \tn 
% Row Count 17 (+ 3)
% Row 6
\SetRowColor{LightBackground}
Boxplot maken van two way ANOVA & `boxplot(waardes \textasciitilde{} indicator1 + indicator2)` \tn 
% Row Count 20 (+ 3)
% Row 7
\SetRowColor{white}
Interactie plot & \seqsplit{`interaction.plot(indicator1}, indicator2, y)` \tn 
% Row Count 23 (+ 3)
% Row 8
\SetRowColor{LightBackground}
* Unstacken om de shapiro test te doen & `unstack(data, form = waardes \textasciitilde{} indicator)` \tn 
% Row Count 26 (+ 3)
% Row 9
\SetRowColor{white}
* Shapiro test voor alle groepen tegelijkertijd & `lapply(unstackdata,shapiro.test)` \tn 
% Row Count 29 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{5.6991 cm} x{11.5709 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Post-hoc}}  \tn
% Row 0
\SetRowColor{LightBackground}
Bonferroni correctie & `paired.t.test(values, indicator, \seqsplit{p.adjust.method="bonferroni")`} \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Tukey HSD & `TukeyHSD(aov(lm(values\textasciitilde{}idicator)))` \tn 
% Row Count 5 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{17.67cm}}{Gebruik dit na de ANOVA om te kijken welke categorieën precies afwijken.  \newline values = y \newline indicators = x}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}



\end{document}