# Box Plots in F#

How to make Box Plots in F# with Plotly.

In [1]:
#r "nuget: Plotly.NET,  2.0.0-preview.8"
#r "nuget: Plotly.NET.Interactive,  2.0.0-preview.8"

Installed Packages
• Plotly.NET, 2.0.0-preview.8
• Plotly.NET.Interactive, 2.0.0-preview.8

Loading extensions from Plotly.NET.Interactive.dll

Added Kernel Extension including formatters for Plotly.NET charts.

# Basic Boxplot¶

In [2]:
open Plotly.NET
let y =  [2.; 1.5; 5.; 1.5; 3.; 2.5; 2.5; 1.5; 3.5; 1.]
let x = ["bin1";"bin2";"bin1";"bin2";"bin1";"bin2";"bin1";"bin1";"bin2";"bin1"]

Chart.BoxPlot(x,y,Jitter=0.1,Boxpoints=StyleParam.Boxpoints.All)

Out[2]:

# Choosing The Algorithm For Computing Quartiles¶

By default, quartiles for box plots are computed using the linear method (for more about linear interpolation, see #10 listed on http://www.amstat.org/publications/jse/v14n3/langford.html and https://en.wikipedia.org/wiki/Quartile for more details).

However, you can also choose to use an exclusive or an inclusive algorithm to compute quartiles.

The exclusive algorithm uses the median to divide the ordered dataset into two halves. If the sample is odd, it does not include the median in either half. Q1 is then the median of the lower half and Q3 is the median of the upper half.

The inclusive algorithm also uses the median to divide the ordered dataset into two halves, but if the sample is odd, it includes the median in both halves. Q1 is then the median of the lower half and Q3 the median of the upper half.

In [3]:
let y' =  [2.; 1.5; 5.; 1.5; 2.; 2.5; 2.1; 2.5; 1.5; 1.;2.; 1.5; 5.; 1.5; 3.; 2.5; 2.5; 1.5; 3.5; 1.]

Chart.BoxPlot(x,y',Boxpoints=StyleParam.Boxpoints.All,QuartileMethod=StyleParam.QuartileMethod.Exclusive) //Inclusive or "Linear" by default

Out[3]:

# Modifying The Algorithm For Computing Quartiles¶

For an explanation of how each algorithm works, see Choosing The Algorithm For Computing Quartiles

In [4]:
let y =  [1;2;3;4;5]

[
Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,QuartileMethod=StyleParam.QuartileMethod.Linear,Name="Linear Quartile");
Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,QuartileMethod=StyleParam.QuartileMethod.Inclusive,Name="Inclusive Quartile");
Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,QuartileMethod=StyleParam.QuartileMethod.Exclusive,Name="Exclusive Quartile")]

|> Chart.combine

Out[4]:

# Horizontal Boxplot¶

In [5]:
let x1 =  [1;2;3;4;5]

let x2 =  [1;2;4;5;6;9]

[
Chart.BoxPlot(x=x1,Boxpoints=StyleParam.Boxpoints.All);
Chart.BoxPlot(x=x2,Boxpoints=StyleParam.Boxpoints.All)
]
|> Chart.combine

Out[5]:

In [6]:
let y =  [2.; 1.5; 5.; 1.5; 3.; 2.5; 2.5; 1.5; 3.5; 1.]

Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,Jitter=0.5,Pointpos= -1.8)

Out[6]:

# Styled box plot¶

In [7]:
let y =  [2.; 1.5; 5.; 1.5; 3.; 2.5; 2.5; 1.5; 3.5; 1.]

Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,Jitter=0.5,Notched=true,Color=Color.fromString "red",Name="Styled box plot")

Out[7]:

# Box Plot Styling Mean & Standard Deviation¶

In [8]:
open Plotly.NET.TraceObjects

let y=[2.37; 2.16; 4.82; 1.73; 1.04; 0.23; 1.32; 2.91; 0.11; 4.51; 0.51; 3.75; 1.35; 2.98; 4.50; 0.18; 4.66; 1.30; 2.06; 1.19]

[
Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,Jitter=0.5,Notched=true,Marker=Marker.init(Color=Color.fromString "red"),Boxmean=StyleParam.BoxMean.True,Name="Only Mean");
Chart.BoxPlot(y=y,Boxpoints=StyleParam.Boxpoints.All,Jitter=0.5,Notched=true,Marker=Marker.init(Color=Color.fromString  "blue"),Boxmean=StyleParam.BoxMean.SD,Name="Mean & SD")]
|> Chart.combine

Out[8]:

# Grouped Box plots¶

In [ ]: