[Tex/LaTex] Drawing a Normal Distribution Graph

graphs

I have no idea how to create a graph of a normal distribution. I'll attach an image of exactly what I'm trying to recreate.

Also, is there a way of undoing a PDF back to LaTeX code if LaTeX was used to make the pdf? otherwise I'll just be mindlessly copying…

Best Answer

You could see this link Filling in the area under a normal distribution curve or you could use this next example adapted from this link http://johncanning.net/wp/?p=1202:

\documentclass{article}
\usepackage{pgfplots}
\usepackage{mathtools,amssymb}
\usepackage{tikz}
\usepackage{xcolor}
\pgfplotsset{compat=1.7}
\begin{document}
\pgfmathdeclarefunction{gauss}{2}{\pgfmathparse{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))}%
}
\begin{tikzpicture}

\begin{axis}[no markers, domain=0:10, samples=100,
axis lines*=left, xlabel=Test, ylabel=axis $y$,
height=6cm, width=10cm,
xticklabels={Test A,Test B,Test C,Test D, Test A,Test B,Test C,Test D}, ytick=\empty,
enlargelimits=false, clip=false, axis on top,
grid = major]
\addplot [fill=cyan!20, draw=none, domain=-3:3] {gauss(0,1)} \closedcycle;
\addplot [fill=orange!20, draw=none, domain=-3:-2] {gauss(0,1)} \closedcycle;
\addplot [fill=orange!20, draw=none, domain=2:3] {gauss(0,1)} \closedcycle;
\addplot [fill=blue!20, draw=none, domain=-2:-1] {gauss(0,1)} \closedcycle;
\addplot [fill=blue!20, draw=none, domain=1:2] {gauss(0,1)} \closedcycle;
\end{axis}
\end{tikzpicture}
\end{document}

Related Solutions

[Tex/LaTex] Tikz paths not starting/ending at edges of nodes

I think you are trying to start/end the arrows from the patterned circle. This two step process you are doing can be done with the definition of a node like

mynode/.style={pattern=north east lines, circle, draw,inner sep=2pt,outer sep=0pt},

And put phantom{1:1} as the argument so that the circles are of same size.

On the other hand, for other nodes, you are filling the circular area and the draw the circle and then put a node making it a three step process. The three lines of code you are using can be only one line like this:

\node[myothernode,fill=orange!30] at (4.5,0.75) (4₁) { 4:1 };

where the myothernode is defined like

myothernode/.style = {draw,circle,inner sep=2pt,outer sep=0pt}

Now all the circles are all drawn by

\node [mynode] at (0,0) (h1){\phantom{1:1}};

\node[myothernode,fill=blue!30] at (1.5,1.5)  (1₁) { 1:1 };
\node[myothernode,fill=green!30] at (1.5,0) (2₁) { 2:1 };
\node[myothernode,fill=red!30] at (1.5,-1.5) (3₁) { 3:1 };

\node [mynode] at (3,0) (h2){\phantom{1:1}};

\node[myothernode,fill=orange!30] at (4.5,0.75) (4₁) { 4:1 };
\node[myothernode,fill=orange!30] at (6,0.75) (4₂) { 4:2 };
\node[myothernode,fill=purple!30] at (4.5,-0.75) (5₁) { 5:1 };
\node[myothernode,fill=purple!30] at (6,-0.75) (5₂) { 5:2 };

\node [mynode] at (7.5,0) (h3){\phantom{1:1}};

\node[myothernode,fill=teal!30] at (9,0.75) (6₁) { 6:1 };
\node[myothernode,fill=teal!30] at (10.5,0.75) (6₂) { 6:2 };
\node[myothernode,fill=olive!30] at (9.75,-0.75) (7₁) { 7:1 };

\node [mynode] at (12,0) (h4){\phantom{1:1}};
\node [mynode] at (13.5,0) (h5){\phantom{1:1}};

Now, the code for drawing edges can be simplified further. You are using `\path[line,->] which gives wrong results. Moving on, the arc/curve you are talking about can be drawn by several ways. One of them will be to define a control point like

(h1.north) edge [controls=+(80:2.5) and +(100:2.5)](h2.north);

You can change the angles and the distance to suit your needs.

The complete code will be

\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{patterns,arrows}
\tikzset{line/.style={-latex'},
         mynode/.style={pattern=north east lines, circle, draw,inner sep=2pt,outer sep=0pt},
         myothernode/.style = {draw,circle,inner sep=2pt,outer sep=0pt}
         }
\begin{document}
 \begin{tikzpicture}
    \node [mynode] at (0,0) (h1){\phantom{1:1}};

    \node[myothernode,fill=blue!30] at (1.5,1.5)  (1₁) { 1:1 };
    \node[myothernode,fill=green!30] at (1.5,0) (2₁) { 2:1 };
    \node[myothernode,fill=red!30] at (1.5,-1.5) (3₁) { 3:1 };

    \node [mynode] at (3,0) (h2){\phantom{1:1}};

    \node[myothernode,fill=orange!30] at (4.5,0.75) (4₁) { 4:1 };
    \node[myothernode,fill=orange!30] at (6,0.75) (4₂) { 4:2 };
    \node[myothernode,fill=purple!30] at (4.5,-0.75) (5₁) { 5:1 };
    \node[myothernode,fill=purple!30] at (6,-0.75) (5₂) { 5:2 };

    \node [mynode] at (7.5,0) (h3){\phantom{1:1}};

    \node[myothernode,fill=teal!30] at (9,0.75) (6₁) { 6:1 };
    \node[myothernode,fill=teal!30] at (10.5,0.75) (6₂) { 6:2 };
    \node[myothernode,fill=olive!30] at (9.75,-0.75) (7₁) { 7:1 };

    \node [mynode] at (12,0) (h4){\phantom{1:1}};
    \node [mynode] at (13.5,0) (h5){\phantom{1:1}};

    \draw [->] (0.333,-2.5) -- (13.3335,-2.5) node [midway, below] {Time};

    \path [line] (h1) edge [bend left=15] (1₁)
     (h1) edge (2₁)
     (h1) edge [bend right=15] (3₁)
     (1₁) edge [bend left=15] (h2)
     (2₁) edge (h2)
     (3₁) edge [bend right=15] (h2)
     (h2) edge (4₁)
     (h2) edge (5₁)
     (4₁) edge (4₂)
     (5₁) edge (5₂)
     (4₂) edge (h3)
     (5₂) edge (h3)
     (h3) edge (6₁)
     (h3) edge (7₁)
     (6₁) edge (6₂)
     (6₂) edge (h4)
     (7₁) edge (h4)
     (h4) edge (h5)
     (h1.north) edge [controls=+(80:2.5) and +(100:2.5)](h2.north);  %% change control point: angle:<vertical distance>
\end{tikzpicture}
\end{document}

enter image description here

[Tex/LaTex] How to color vertices in a TikZ graph

Here is a solution for the graph of your example with n even. If n is odd there is no such coloring.

I use math library to make the logic, but if you wan you can replace this part of the code by vanilla tex solution.

\documentclass[tikz, border=7pt]{standalone}
\usetikzlibrary{graphs,graphs.standard,math}

\xdef\j{0} % the node number is stored globally
\tikzset{
  color0/.style = {fill=red!35},
  color1/.style = {fill=blue!35},
  setcolor/.code = {
    \tikzmath{
      int \j, \k;
      \j = \j+1;
      \k = mod((\j <= #1 ? \j+1:\j), 2);
    }
    \xdef\j{\j}
    \pgfkeysalso{node contents=\j, color\k}
  },
  graphs/mygraph/.style = {
    nodes={draw, circle, setcolor=#1}, clockwise, radius=#1*.25cm, empty nodes, n=#1
  }
}

\begin{document}
  \begin{tikzpicture}
    \graph [mygraph=4] {
      subgraph C_n [name=inner] -- [shorten <=1pt, shorten >=1pt]
      subgraph C_n [name=outer]
    };
  \end{tikzpicture}
\end{document}

enter image description here

With mygraph=10 :

enter image description here

EDIT (after this answer has been accepted): Here is a code without tikzmath and such that the node counter is automatically reset at the begining of the graph. This allows you to draw more than one graph without reseting the counter manually.

\documentclass[tikz, border=7pt]{standalone}
\usetikzlibrary{graphs,graphs.standard}

\newcount\nodenum % the node number is stored globally
\tikzset{
  color0/.style = {fill=red!35},
  color1/.style = {fill=blue!35},
  setcolor/.code = {
    % if we start the second part
    \ifnum \nodenum = #1
      \global\advance\nodenum 1\relax
    \fi
    % set the color
    \pgfmathparse{int(mod(\nodenum, 2))}
    \pgfkeysalso{color\pgfmathresult, node contents=\the\nodenum}
    % count this node and save globally
    \global\advance\nodenum 1\relax
  },
  graphs/mygraph/.style = {
    nodes={draw, circle, setcolor=#1}, clockwise, radius=#1*.25cm, empty nodes, n=#1
  },
  graphs/mygraph/.append code={
    \global\nodenum 0\relax % reset the counter at the beginning
  }
}

\begin{document}
  \begin{tikzpicture}
    \graph [mygraph=4] {
      subgraph C_n [name=inner] -- [shorten <=1pt, shorten >=1pt]
      subgraph C_n [name=outer]
    };

    \graph [mygraph=12] {
      subgraph C_n [name=inner] -- [shorten <=1pt, shorten >=1pt]
      subgraph C_n [name=outer]
    };
  \end{tikzpicture}
\end{document}

enter image description here

Best Answer

Related Solutions

[Tex/LaTex] Tikz paths not starting/ending at edges of nodes

[Tex/LaTex] How to color vertices in a TikZ graph

Related Question