\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{Molly\_6075}
\pdfinfo{
  /Title (statistics.pdf)
  /Creator (Cheatography)
  /Author (Molly\_6075)
  /Subject (Statistics Cheat Sheet)
}

% Lengths and widths
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\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}{F07B07}
\definecolor{LightBackground}{HTML}{FEF6EF}
\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{Statistics Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Molly\_6075} via \textcolor{DarkBackground}{\uline{cheatography.com/193986/cs/40746/}}}
\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}Molly\_6075 \\
  \uline{cheatography.com/molly-6075} \\
  \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 13th October, 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{multicols*}{3}

\begin{tabularx}{5.377cm}{x{2.09034 cm} x{2.88666 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Association Rules}}  \tn
% Row 0
\SetRowColor{LightBackground}
X-\textgreater{}Y & X associated to Y \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Supp(X): Antecedent support & P(contains X) \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Supp(X and Y): Rule Support & P(contains X and Y) \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
Conf(X-\textgreater{}Y): Rule Confidence & P(contains Y| contains X) \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Left(X-\textgreater{}Y): Rule Lift & P(contains Y|contains X)/P(contains Y) \tn 
% Row Count 9 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Confidence Interval}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{总体方差已知时} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
CI： {[}(𝑋\_𝑛 \seqsplit{) −𝑧∗𝜎/√𝑛}, (𝑋\_𝑛 ) +𝑧∗𝜎/√𝑛{]} & 𝑋\_𝑛 \seqsplit{为样本均值，𝜎表示总体标准差，z依据置信水平而定} \tn 
% Row Count 6 (+ 5)
% Row 2
\SetRowColor{LightBackground}
z = qnorm(0.95,0,1) & \seqsplit{置信水平为90\%时，z的计算} \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{总体方差未知} \tn 
% Row Count 9 (+ 1)
% Row 4
\SetRowColor{LightBackground}
CI： {[}(𝑋\_𝑛 ) −t∗S/√𝑛, (𝑋\_𝑛 ) +t∗S/√𝑛{]} & \seqsplit{用样本方差S代替𝜎，用t分布代替整体分布} \tn 
% Row Count 13 (+ 4)
% Row 5
\SetRowColor{white}
t\_value = qt(0.975,df = n-1) & \seqsplit{置信水平为95\%时，t的计算} \tn 
% Row Count 15 (+ 2)
% Row 6
\SetRowColor{LightBackground}
t=x −μ ​/(s/√𝑛) & T统计量的计算 \tn 
% Row Count 17 (+ 2)
% Row 7
\SetRowColor{white}
t.test( ) & \seqsplit{会得出T值，p值，这里的p值检测的是T统计量的极端性，当p非常小时，拒绝原假设} \tn 
% Row Count 23 (+ 6)
% Row 8
\SetRowColor{LightBackground}
t.test(ChickWeight\$weight{[}ChickWeight\$Diet==1{]},ChickWeight\$weight{[}ChickWeight\$Diet==2{]},conf.level = 0.9) & \seqsplit{检验两个总体差值的置信区间} \tn 
% Row Count 29 (+ 6)
% Row 9
\SetRowColor{white}
proportion test & \seqsplit{比例检验用于比较两个二项分布（二项分布表示成功和失败的次数，或者说是比例）的比例是否相等或满足某种假设。比例检验通常用于判断两个不同组群的比例是否有显著差异。} \tn 
% Row Count 41 (+ 12)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.54287 cm} x{3.43413 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Hypothesis test}}  \tn
% Row 0
\SetRowColor{LightBackground}
type 1 error & reject H\_0 while it's true(often denoted by "𝛼") \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
type 2 error & not reject H\_0 even though it's false (denoted by "𝛽") \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{significance} level & maximum on Type-1 error probability \tn 
% Row Count 7 (+ 2)
% Row 3
\SetRowColor{white}
p-value & minimum 𝜶 needed to reject H0 \tn 
% Row Count 9 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}