#Variables store one element
x <- 25
#R can be used as a calculator
10 + 20
## [1] 30
a = 4
#Or do calculations with a :
a * 5
## [1] 20
#Concatenation function
x <- c(1,2,3,4,5)
x
## [1] 1 2 3 4 5
y <- c("a", "b", "c", "d")
y
## [1] "a" "b" "c" "d"
#Vectors
#Vectors have only 1 dimension and represent enumerated sequence of data. They can also store variables
v1 <- c(1,2,3,4)
mean (v1)
## [1] 2.5
#The elements of a vector are specified/modified with braces (e.g. [number])
v1[1] <- 48
v1
## [1] 48 2 3 4
#Display all workplace objects (variables, vectors etc.) via ls():
a= 10
b =20
ls()
## [1] "a" "b" "v1" "x" "y"
#Useful tip : to save workplace and restore from a file use:
save.image(file="workspace.rda")
load(file="workspace.rda")
#Any function in R has help information
? mean
## starting httpd help server ... done
help(mean)
#Data types
x <- 1
mode(x)
## [1] "numeric"
y <- 3 < 4
y
## [1] TRUE
a = "bioinfo"
mode(a)
## [1] "character"
#The main data objects in R :
#Matrices (single data type)
#Data frames (supports various data types)
#Lists (contains set of vectors)
m <- matrix(0,2,3)
m
## [,1] [,2] [,3]
## [1,] 0 0 0
## [2,] 0 0 0
#List contain various vectors. Each vectors in the list can be acessed by double braces [[number]]
x <- c(1,2,3,4)
y <- c(2,3,4)
L1 <- list(x,y)
L1
## [[1]]
## [1] 1 2 3 4
##
## [[2]]
## [1] 2 3 4
#Data frames are similar to matrices but can contain various data types
x <- c(1,5,10)
y <- c("A","B","C")
z <- data.frame(x,y)
z
## x y
## 1 1 A
## 2 5 B
## 3 10 C
#Duplicate data can be removed during analysis.
duplicated(c(1,2,1,3,1,4))
## [1] FALSE FALSE TRUE FALSE TRUE FALSE
#To count the number of observations in each level of factor, we can use the R table() command as below:
data(iris)
table(iris$Species)
##
## setosa versicolor virginica
## 50 50 50
str(iris)
## 'data.frame': 150 obs. of 5 variables:
## $ Sepal.Length: num 5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...
## $ Sepal.Width : num 3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...
## $ Petal.Length: num 1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...
## $ Petal.Width : num 0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...
## $ Species : Factor w/ 3 levels "setosa","versicolor",..: 1 1 1 1 1 1 1 1 1 1 ...
#If you want to combine data from different sources in R, you can combine different sets of data in three ways:
merged <-merge(iris,cars)
head(merged)
## Sepal.Length Sepal.Width Petal.Length Petal.Width Species speed dist
## 1 5.1 3.5 1.4 0.2 setosa 4 2
## 2 4.9 3.0 1.4 0.2 setosa 4 2
## 3 4.7 3.2 1.3 0.2 setosa 4 2
## 4 4.6 3.1 1.5 0.2 setosa 4 2
## 5 5.0 3.6 1.4 0.2 setosa 4 2
## 6 5.4 3.9 1.7 0.4 setosa 4 2
#To retrieve 5 rows and all columns of already built-in dataset iris, the below command, is used:
data(iris)
iris[1:5, ]
## Sepal.Length Sepal.Width Petal.Length Petal.Width Species
## 1 5.1 3.5 1.4 0.2 setosa
## 2 4.9 3.0 1.4 0.2 setosa
## 3 4.7 3.2 1.3 0.2 setosa
## 4 4.6 3.1 1.5 0.2 setosa
## 5 5.0 3.6 1.4 0.2 setosa
#R standard graphics available through package graphics, include several functions that provide statistical plots
plot(iris$Sepal.Length,iris$Petal.Length)
![](data:image/png;base64,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)
#A histogram is used to plot a continuous variable.
hist(iris[,1])
![](data:image/png;base64,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)
hist(iris[,2])
![](data:image/png;base64,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)
hist(iris[,3])
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)
#boxplot
x <- c(1,5,10)
y <- c(20,30,40)
boxplot(x,y)
![](data:image/png;base64,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)
#We use heatmap for the intensity of colours. It is also used to display a relationship between two or three or many variables in a two-dimensional image
iris_filtered <- iris[,1:4]
heatmap(as.matrix(iris_filtered))
#circular plots in r
library("circlize")
## ========================================
## circlize version 0.4.10
## CRAN page: https://cran.r-project.org/package=circlize
## Github page: https://github.com/jokergoo/circlize
## Documentation: https://jokergoo.github.io/circlize_book/book/
##
## If you use it in published research, please cite:
## Gu, Z. circlize implements and enhances circular visualization
## in R. Bioinformatics 2014.
##
## This message can be suppressed by:
## suppressPackageStartupMessages(library(circlize))
## ========================================
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)
mat = matrix(rnorm(36), 6, 6)
rownames(mat) = paste0("R", 1:6)
colnames(mat) = paste0("C", 1:6)
#draw network by igraph
#Define Nodes
nodes=cbind('id'=c('Fermenters','Methanogens','carbs','CO2','H2','other','CH4','H2O'),
'type'=c(rep('Microbe',2),rep('nonBio',6)))
nodes
## id type
## [1,] "Fermenters" "Microbe"
## [2,] "Methanogens" "Microbe"
## [3,] "carbs" "nonBio"
## [4,] "CO2" "nonBio"
## [5,] "H2" "nonBio"
## [6,] "other" "nonBio"
## [7,] "CH4" "nonBio"
## [8,] "H2O" "nonBio"
#Define Links
links=cbind('from'=c('carbs',rep('Fermenters',3),rep('Methanogens',2),'CO2','H2'),
'to'=c('Fermenters','other','CO2','H2','CH4','H2O',rep('Methanogens',2)),
'type'=c('uptake',rep('output',5),rep('uptake',2)),
'weight'=rep(1,8))
#Make the network
library(ggridges)
library(ggplot2)
library(igraph)
##
## Attaching package: 'igraph'
##
## The following object is masked from 'package:circlize':
##
## degree
##
## The following objects are masked from 'package:stats':
##
## decompose, spectrum
##
## The following object is masked from 'package:base':
##
## union
net = graph_from_data_frame(links,vertices = nodes,directed = T)
plot(net)
![](data:image/png;base64,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)
#Change Appearance
colrs.v = c(nonBio = "lightblue",Microbe = "gold") #node colours
V(net)$color = colrs.v[V(net)$type]
colrs.e = c(output = "grey", uptake = "magenta") #edge colours
E(net)$color = colrs.e[E(net)$type]
plot(net, edge.curved=0.2,vertex.size=30) #make nodes bigger, curve arrows
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAACLlBMVEUAAAAAACAAAE4AAGMAAHcAAIsAAJsAAJ8AAKoAALMAMU4AMWMAMXcAMZsAMaoAMbkAOp8AOrMAOscAVjgAV8gAZscAZtonAIsnAJsnMYsnMZsnMaonMbknV7knV8gnesgnetc6AHc6AIs6AJ86MU46MWM6MXc6MYs6Oos6OrM6Osc6Vjg6Vk46Zsc6Zto6eSA6eTg6kNo6kO1FAItFAJtFMYtFMZtFMblFV5tFV6pFV7lFeshFetdFmtdFmuZhMYthMZthMaphV5thV6pheqpheshhmtdhuddhueZmAHdmAItmAJ9mMU5mMWNmMXdmMYtmOotmOp9mVmNmZrNmZtpmeSBmeThmkNpmkO1mmgBmmiBmmjhmtu1mtv98V4t8V5t8V6p8V7l8ept8eqp8udd8ueZ82Nd82OaQMXeQMYuQOouQOp+QOrOQVneQZouQZp+QeTiQmiCQmjiQtu2QuQCQ2+2Q2/+UepuUeqqUermUmqqUmrmUuciUudeUueaU2NeU2Oatmqqtmrmtubmtucitudet2Mit2Net2Oa2Vk62Vne2Vou2Zou2Zp+2ZrO2Zse2eWO2kJ+2kLO2uQC21wC22/+2/+22//++vr7beWPbeXfbkJ/bkLPbkMfbmk7bmmPbtrPbtsfbuQDb1wDb1yDb29rb2//b/+3b////AP//mk7/mmP/trP/tsf/uSD/uTj/uU7/1wD/1yD/1zj/28f/29r/2+3//9r//+3////qGgt8AAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO3d/58cd33Y8aV4hDGxCdi1cFy77vVLvgIpKm4SsESUL3XclCT9ktQ0yARwHUwopUkjKgGRIuG7gkLSECcHIhjHJLGCG1vGrnX/XWd2Zr/e3u3Me3e+7T6fP+huv+h2NXrv6/GZ3dm9wQEAIYO27wBAXwkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECSitGsxr+w5BBeaV9hyqp4bSL4aVlhS13JulofSJSaUVC+s53dC27yCUYE5pwdH1nGpo23cSljKlNG5ZPiWUvjCjNK1EPkcJbfuuwvGMKA0rl88ioW3fWTiWCaVRJZefFqH0gvmkSZX6qaB0nfGkQdXyaTeerjOdNKd6PxWUTjOcNCbSTwWly8wmjQn1Myto23ccjmA2aUqwnwpKdxlNGhLbgc8DakzpJpNJQ8L9tASls0wmzVihnwpKVxlMGhHfgc8DalDpInNJI1bqpyUoHWUuacKK/VRQuslY0gQBZSMZSxqwcj8VlE4ylTRAQNlMppIGCCibyVRSvzX0U0HpIkNJ/QSUDWUoqd90QL/8iR9KkuTE/R+4tPuzT+2dSwqn04tmTuSunLz9KQGlswwltZvq5+7Z5M4PfCn9euG+tKKPpudcOJkktz9ZXJyduOvJvcnVzyTjgCoo3WMmqd0koFdOJg9eKtr4RB7QbN350LiYMyf29s4nAkqXmUlqNw5o2s979qZiebpo5ump86ZOZNcXULrMTFK7UUCfOTWVw+zkkoDunrnnnIDSZWaS2o0Cmu6QTy1A09NLAnr+9qcElE4zk9SuCGi6AJ3eP0/30D94bECvnDy9J6B0mpmkdkVALycze/ALF51TJ3bPPLQnoHSbmaR2RUDTOL79UvmAns+uLKB0mpmkbkU/d89UCuiVdz26J6B0nJmkdnlBs4DOvIY0aeaM05MdeAGl48wktVsa0AUr0PP5YlVA6TQzSe0Cz4HmO/ACSseZSWpXBPR8+Vfhix14AaXjzCS1mxzGlL/7fXlAL888K1qsWwWUzjGT1G7qZfiHBJRNYiap3eitnPNH0u/+wlEBnTptF54OM5PUbvxpTLNvht/92FMCSr+ZSeo3LugTaUFHL8Tv/tyTo2Ye+Xmg0wHVT7rHUFK/yScqXziZnHjwi+k3X/zEA3lJL05/Iv3MCQGl8wwl9Zv+nUgXfyqNZHLnz4yXn8f+TiQBpdMMJQ3we+HZTKaSBggom8lU0gABZTOZSpqwckH1ky4yljRBQNlIxpJGrFhQ/aSTzCWNGKxU0IGA0knmkmasGNC27z4sYjBpyAoF1U86ymTSkPhOvB14uspk0pQVAtr2XYfFjCaNCRZUP+kss0ljYjvxduDpLrNJcyIF1U86zHDSoOoF1U+6zHTSpEG1hA70k04znjSqUkH1k44znzSsfEHlk64zoTSt5CLU8pPuM6I0blAioQP9pAfMKC1YllD5pB9MKa0YHN3QgXzSF+aUlgwWNnQgn/SISaU9g8XavltQlmHdGP3sUD/vNeTM62bo71puf7/tewBhfXiIsUSvn00UUHqs848vlun369n7AkqPdfvRxVJ9P6JSQOmzLj+2WKr37+nRT3qts48sSiiRz1FC276rRxBQeq2rDyxKKJfPIqFt39mF9gWUXuvm44oSSi4/O70IFVD6rYuPKsqo1M+OFnRfQOm37j2oKKVaPju6G6+f9FznHlOUUr2fHSyoBSh917GHFOVE+tm9ggoofdetRxQlhfqZFbTtOz5tX0Dpu049oigp2M9uFVQ/6b8OPaAoK7YDnwe0O//hAkr/defxRGnhfnZpCbovoPRfZx5PlLZCP7tT0H0BZQN05OFEefEd+Dygnfgv3xdQNkEnHk1UsVI/O7IE3RdQNkIXHk1UsWI/u1FQAWUzdODBRCWbENB9AWUztP9gopKV+9mBgu4LKBui7ccSFW1AQPcFlE0hoD3T/4DuCygbQ0D7ZQ39bLmg+wLK5hDQful9QPcFlA0ioP2SBfRcUji9N3di7+LDSXLi/k9O1/Lqz/9QeumdD3yyEwGd76eA0msC2ivFAvTCySS5/ckih9mJu4Yndp8oYvrgJJ9nk2E6v3C2uE67BT3UTwGl1wS0V0Z78Om686FxDscnzp145NLe7seTyYWXTyaPjDqbnDjddkAP91NA6TUB7ZWpgJ6eDujwxJV3PZpXM92Nf3TUz0lnz0/+TksBXdBPAaXXBLRXjg3o+dNzZ1w5mbz90vhqu2dGXW0poIv6KaD0moD2yrEB/dhTox334oyZHf3hEvSeFgO6sJ8CSq8JaK8cG9Cxy/lSM12Ajpace3szpwUU1kJAe6VsQId77umK8/anps5+5tRoRSqgsBYC2ivlAnou72R6/tRToMMnQYt9+A69Cq+g9JmA9sn4fUjHBvSZU8OF56SXUwHNi+qtSLAWAtorUyvQGTMBPZ+fPBTQyZK0Sx8n0uo9gdUIaK+U2YV/5tRDcwvOrgX0wEcqsyFafyRRRYmA7p4ZVbN7z4FOpN0UUPqv9UcSVZQI6PlxNOdfhc8C2uKr8DOKbgoo/db6I4kqlgf08v3jZnbsONAZuslGaP2RRBVLAzrVz0PvRLrc7juRZggoG6H1RxJVLAvolfufnCpmuuSc2odP9+BHpwQU1qL1RxJVLAno6POY0u8+OLvm3MueEh1/np2Awlq0/kiikqKgiz8PdNLPi8V3FyafZ3dh8oRo+/0UUDZD+w8lqsgDenH6E+nHJ9I99rHRwvPq+5Phb/j4wsPJA+O9ewGF9Wj/oUQVx/xOpOl+Tu3gf+HsfdnvRPqZqSdHBRTWo/2HEpWs5ffCt5+v9u8BrIGA9syaAtr2AewCykYQ0J5ZX0BbbZiAshEEtG9WLuhgcNCBD/JQUDaBgPbNOgI6/WlILf0zBJRNIKC9s2JBi5fg2/48OQFlEwho7wxWKuhgfAxTu58ML6BsAgHtnxUDOv45rf5+IgFlEwhoD61Q0Nlj6Bf9krfWnx2F/hDQHorvxA/m3oSkoLAKAe2jFQI6/6OaC+hg3np/PLTAFPdSsKCLotVMPw/VU0PZBEa4l2I78YuLVX9Ai1renKWh9J/57adIQY+qVc39XFjP6Yau64agcaa3p6oX9OhU1RnQo+s51dD13BQ0zuz21aBaQo/tVG39XJZPCaXfTG5vVSro8ZGqK6Al8jlK6DpuDppmcHusfEGXFaq2fpbIZ5HQddwgNMzc9lnJRWiJFV4NAS25/LQIpcdMba8NSiS03HOMaw9opX4qKP1kaHtuWULLvkSz7mdBq+XTbjz9ZGZ7b3B0Q6scZznbzlUTWr2fCkoPGdkNMFjY0Krv9Jlfe66yEI30U0HpHxO7GdbxXvNDO+/xhIb6mRW0+k1Bi0zsxlitngcHR/yquUhDg/1UUPrGwDJ2xIqz8stKsR34PKAGkj4xr0wcmclqDQ330xKUnjGvTCxpZMmGrtBPBaVfjCtTlvaxxHGi8R34PKBGkv4wrUwrscBcdrD9Sv20BKVXTCtBR0R0xX4qKH1iWFnB/uHlqICyRQwrK5ot6Mr9VFB6xKyyVllAX/7MHS8IKNvArHKca0nmfTPn3Xp6eOZHF/6FweDlDyeJgLIdzCrHuvV/0la+9S+mz3opO+fZxVcfDF797Z0VA6qg9IZR5XjD9ebMEvTaoTXpyLd+P9uD//5jAsqWMKosce0Hd2aWoK/tHLX//sa/HQb01U8JKFvCqLLEtX/49Ewwr73zvx0R0OtvGb4Gv3JAFZS+MKksce3el5LknS+OTr6289FriwP62o6AsmVMKktcu/fW9BL0+lv/YnFAv7OTCChbxqSyxLV7D6aWoG889r6DqYA+/2tJkvzo7x4c3Pp0kntvEdDndpIf+Fzew29/OD3/B349j+rwINH0wts+UtTy77+yk1764381que3fyVJbnv3+FX+8S2kXv9sejeyUP/m8OStzybJu5/9y5lDBKBJAsoSaUDfeCx5y+/np9IF6CSgt/7ox55N/yhelL8+tQL97lezmN72e1kRv5n19Ns7w2Xp8CDR/MLk8WEvn9v5ib+6+fefGQf1K8lPvvCm20aHn07fwutpSt/5t9fGB6G+8di9Lx48v/NWAaU1AsoSaUDTNib3Dk/cevp9B5OAXsvXpcXp6YB+5idfSMOZ3J2e/F7e0W9mxcwPEs0u/EZ+YXppvrv/1SKow9oO3vR08cL/1C3c+nT6d9/52X/54sG38ntzfRj1lwSU9ggoS2QBHS9BX8q+jAL6UtHRYg9/KqC3PT55LvSbeUC/lxfy+4/lFxYHi6Zf8oVo+s2b/2z45b3Zc6DX85uYvYXsXuRLz+HtXRteeOt3BJTWCChLXBuu9vJF362nsz9HAb2WjGXLwOtzLyIVX1/ZGZ76Xvb06MyFWTCLuuZL0PdmV84D+trO8GmB2Vu49XT+VOytfH16LXlH9kyp50Bpj4CyxDCgadCytedwAToKaNqxmRfjrye3DT+Kaa6Rk1eKDgd06irfG+7TzwZ07hbmAppGPXnP3zS4JWCegLLEMKBZNN839X2xJz0X0EMr0KKO3/6VH/jIc4sCWuy4FwFNL0jPuLsI6EcP3cJcQPMPNXnPiwfQFgFliTyar2Xv53xtZ7TrXgT03ukrHhXQl3/lts8dsQufPSNa7MK/sjN5xjR7DjRL5dwtzAX04OBbO4c+6QSaJKAskQd0uASdfdV96uCmgz9+8ciAvrIzzOjCgKZ/Fi8iZQG9Oz+M6Y6vD/7BzvDjnuZu4VBAD2796c70u6SgYQLKEkVAX5p8BujUi0hFvF57z8FRAU3/LI5XWvQiUv7S0c3Jq/Q3X/6lf5EktxU75rO3MBfQr2URff1XJ42FpgkoS1wbHQE6jtnkMKYkeUv2HqHnd+aPA53ZSz/mVfh03Vk8CfrN/PxX/snvTb2Vc/YW5l+FL+6EgNIaAeV4t54usvnS+FNArxXfFR9NnxRlvZ4kbxq8/MsvjJ77HAc0e3vnV344/fLqf5+78OboaPv09PDJ0O8/dtt0QGdvYbTrPgro8FZf27ELT2sElON9Z/zO86eLJx6f3xl9Iv2ob+8YXjD8oNC0f8+lXz+SP6uZff1m/hb57FR64d/NXji8+MdfuPly3s/h2YV3vzh/C/83vfA3ixv6zeI40NeftgClPQLKcYoj2Yd78dffN3VOsRf/nR9J97F/o1gCfifdH//6zfyN7nd891P51xdufmMnedvnsleH3rbgwuzTRXYmHzUy/CiR6WXt1C3kt/zOv326uPRrf55d9u4jfrkINEBAWaeVf6vxy7/8Qr4H//++808tLek6AWWdVg3o939p8hTotcW/9xO6Q0BZp1UD+tVsrz4P6K1PW4HSdQLKWq1W0Fd2hu9DGv6k6+9p+Z8CSwkoa7VqQJPbfuJN2VD+9WcdnUT3CShrteI+/PfGhzG9Wz/pPgFlvVYs6Kt/kv06jx90cBK9IKCs18oHMvmVnPSHYWXNViyoftIjppU1G6xU0IGA0iOmlXVbMaBt330oz7iydisUdDC40fa9h/IElLWL78Snf/PGDQmlNwSU9VshoDduKCj9IaDUIFjQ7AlQBaVHBJQaxHbi81fgb0govSGg1CFS0NERTApKbwgotahe0MkRoApKXwgo9RhUS+hg+gj6GxJKPwgoNalU0Jl+jgKqoHSdgFKb8gWdfwPnDQmlFwSU+pRchA4OvwH+hoTSBwJKjQYlEjpY0M/pgkoo3SWg1GpZQhfn82CmoBJKVwkoNRsc3dDBkfk8mC2ohNJNAkrtBgsbOjg2nwdzBRVRukhAacJgsWP/znxARZTOEVAaUq2emUUF1VC6REBpRZkSLg6ohtIdAkorSmVQQOk4AaUVAsomEFBaUS6D+km3CSitWCGgtd83KEtAaUXJEuonnSagtCIc0NrvGZQnoLSibAv1ky4TUFoRDGjddwsqEVBaUbqGAkqHCSitKJ1DS1A6TEBpRSig5det0AgBpRWRgFb5a9AEAaUV5Us4t/euoHSIgNKGKk9ozj/7qaB0hoDShiovCR26qkUoXSGgtKFyQA+dU8e9gooElDZUDWiZ86BxAkobqhzWufBqqxwVWv2Xi8BiZoc2rOG4+OAPiPx6OziCwaEFa3pjUeUfUdRyb5aGEmVqaMHa3ppZ6WcsrOd0Q1e8M2wfM0ML1hbQCgk9up5TDV357rBdTAzNu7HGgJZ8MnRZPiWUCPNC89Yb0DIJLZHPUULXco/YEsaFxt24se6CLtuTL5fPIqFrukdsA9NC4+oI6HHL0JLLT4tQKjMrNO5GPQU9KqGV+qmgVGFUaNyNugq6cE++Wj7txlOFSaFpN2oM6OGEVu+nglKaQaFp8wFd96eCzPzMSD8VlLLMCQ071M/1f67S1E8N9TMr6LrvExvJnNCsBf2s4YPpRj812E8FpRxjQrMWBbS2j/aM7cDnAfXQYDlTQrMWBrSugob7aQlKKaaERi3uZ00BXaGfCkoZhoRGHRHQWgoa34HPA+rBwTJmhCYd1c+aArpCPy1BKcGM0KQmA7piPxWU5YwI7an3N2sKKLUzIrSn1oCu3E8FZSkTQovqLKiAUj8TQosElH4zIbSpzjchrdxPBWUZA0KbBJReMyC0qZmAfvkTP5QkyYn7P3Bp92efGp159eezM+984JNTwbz4cHa1TwooJRkQWtXAuzh3zyZ3fuBL6dcL96V5fLTI59lkmM4vnE3uenJ0xSeS3IMKSjnmg1bVH9ArJ5MHL40LWQT08snkkeLyC8mJ0/l35048cmlv9+NpQR8SUEoxH7Sq9oCm/bxnso9+Ljld9HPcyL3zSX7mlXcVcZ2sUwWU45kP2lVTQUcBfeZUcvv4ac/s5Ok8qm+/NNnFP5MH8/zpcWWT0wJKGeaDdtUc0HR5ObUALSp5bmonfXKdj41Ce1lAKcl80K56A5ouQMcxzPfoPzhcgI730Yu9/JnTl+3CU5L5oGW1fpRdupic3oMfrzhnzswqO70ivTzZwRdQjmU+aFmtAU131qee7SzMn7l7ZnY//5xX4SnJfNC2Ogpa9DNL46GAzvdy/lrPnJqsTwWUY5kP2lbjpykfauXiM2eXpOennjUVUI5lPmhbGwGdXZbOBPSZU1PPhwooxzIftK7Gffjqz4Hunpm+TEA5lvmgdTUGdP4F94VnZgEdrzrPz7RVQDmW+aB9NRR0chjTzCGeQ8cdB3r5/pneCijHMh+0r76Aziwup/fhZ4/7HO/Bz/VTQDme+WAjjd7KOX8k/e4v5EvOqTPTyI5OXbn/yb0ZAsqxzAcbafxpTLNvht/N3/B+efrM8+PPsxt9HlP+jk8BZSnzwWYaF/SJNJaj14V2f65YYV6YfJ7dhfEToJN+Xiy+00+OZ0DogMG8dfzI0QozjeWJB7+YfvPFTzwwfoX96vuT4a/u+MLDyQNFVNMd+7F7LEApw4DQtkP1XEtDp38n0sWfytp458/MPMH5hbP3zZw53c/Re5EElOMZEFpV1HJv1joa6vfCUz8TQosW1nO6oSv9bAGlbiaE1hxdz6mGrvDTBZS6mRBasiyfKyd05YLqJ8sYEdpRIp+jhIZvQUCpmRGhFeXyWSQ0fBv6Sb3MCC0oufwcFzQ2plVuZOHNrvlfzeYxIzSvUj9XKuhKAV3zv5oNZEhoXPWVYQsF1U9KMCU0LbJnHSxofCfeDjxlmBIaFotauKDhgK77380mMiY0LNi0Znfi9ZNSzAnNanhN2Oh6l61jTmhU489KNviMK9vHoNCo5l8Xb+41f7aPSaFJbRyZ2dRRp2who0KD2nlvUDPve2IbmRUa1Na705t45z3byLTQnPY+H6n+z35iKxkXmtPiB8zV/umjbCXzQmPa/Yz4ej//nu1kYmhM279ko87fwMR2MjM0pu2A1vk7QNlOpoamrKGfa3iT+uJfQu9xQIjBoSndCOjBgoau/iPZUmaHpswF9FxSOD1/Yu/iw0ly4v5P1hXQOfv7+2v/mWwJAaUhhxegF04mye1PTp24a3hi94kipg82U1ABJUxAaciCPfh03fnQ4RPnTjxyaW/348n0hQJKJwkoDVkc0NOHTlx516PD05fT3fhHBZROE1AaUjag508vulRA6SIBpSFlA/qxp4ozLgsoXSegNKRsQMcu24Wn6wSUhgQC+vZLDQVUQYkRUBpSOaDnmnsVXkCJEVCaseh9SMcG9JlTtz916G8IKJ0ioDRk8Qp0xkxAzy96CUlA6RQBpSEVd+GfObVoB15A6RQBpSHVArp7ZtErSAJKtwgoDakW0PNH9FNA6RIBpSGVAnr5/kUvINUS0H0BJUxAaUiVgB7dz5oCqqCECCgNqRDQK/c/eei6AkoHCSgNKR/Q0ecxpd99sPaA7gsocQJKUw4XdPHngU76eXH8Xd0LUAUlREBpyqGAXpz+RPrxiSsnJ0fW39PUHryAEiKgNKXc70Sa7ueC9yLVtAcvoIQIKI1p//fCH7avoKxAQGmMgLJpBJTGdDugCkp1AkpzVi5oPe/jFFCiBJTmdC+g+/sKygoElAatWNBaF6ACSnUCSoMGKxV0UHNAFZSqBJQmrRjQtd+ffQVlFQJKo1Yo6GCw9sLtCygrEVAaFd+JH2QBXXPj5gOqoFQjoDRrhYCu/cPjD/VTQalGQGlYsKD5E6BrjdyCfgoolQgoDYvtxI9egV9n5RYFVEGpQkBpWqSgkyOY1pi5hQFVUCoQUBpXvaDTR4CuLXOL+ymgVCCgNG9QLaGDmSPo1xa6IwKqoJQnoLSgUkEHc+9AWlPpjuqngFKegNKK8gU9/AbO9bROQFmdgNKOkovQ+eXnUA21000iBJSWDEokdLCwn7OrxzXdHQUlQEBpzbKEHpXPgzo+hk5ACRBQWjQ4uqGDY/J5UMfHgCgo1QkorRosbOhgST7reBumgFKdgNK2wWJL/tbaX0EXUKoTUDqgaj0P6jgKSUGpTEDpKQGlfQJKTwko7RNQ+sqzoLROQOmrdfdTQKlMQOmrdfdTQKlMQOmtNfdTQalMQOkvAaVlAkp/rbmfCkpVAkqPrbmfAkpFAkqPrXsFqqBUI6D02XQ97cPTOAGlz2ZWn+tYhCooVQgovTaz976G/XgBpQoBpdfmnv30biQaJaD02qGXj1YsqIBShYDSb4fXnOt5PR5KEFD6bUEu13RIEywloPTbwlauclho4NPx2Vqmg40UTGjs9zOxtYwGm6pyQYta3pyloRzNXLC5KiV0YT2nG1rjHaWvTAUbrPx+/NH1nGpozfeW/jETbLRyz4Uuy6eEspiJYMOVSGiJfI4S2tCdpicMBJtvSUPL5bNIaIN3m+4zD2yDYxJacvlpEcoCpoEtcURDK/VTQZllGNgaixJaLZ9245llFtgm8wWt3k8FZYpRYLvMJDTSTwVlwiSwZaZ35EP9zAra7j+BzjAJbJ1xQYP9VFBGDAJbK7YDnwfUA4eMOWBrhftpCUrBHLCtVuingpIzBmyp+A58HlAPHQSUrbVSPy1BGTIFbKcV+6mgZAwB20lAWQNDwFZauZ8KyoGAsqUElHUwA2wlAWUdzADbaA39VFAElO0koKyFEWDjXEtmvOX3D19FQFkLI8AGen4nSd6Xf/vXv5p89NDla+mngiKgbKRr44AevPFYDQH9xu8JKAcCyma6PgnowbX1B/T7vySgZEwAm2g6oC+tP6DfvE1AyZgANtF0QBdYMaCv7AgoQyaATVRrQJ/bSQSUIRPAJhoH9I3/ODrr+V9LkuRHf3f4/ZvevPP4zW/s3Pafbt58+TN3vPDqn+wkb/t69n2S/LOvF5n89ofT6//zzw2/z6407OZHbt589beLw6PemwV0+qfe+tOdjx58a+ct/zn99rNJ8u5n//IvWvin0yQBZRONA/rSvfkZt/7ox55N/xie/Xpat+Txr6Z/3PY/0kre8d3s2+SOF17Zyb9myXz1K2lJX/1KlsmbL0+ulDyeXfjN0Qr0TfM/9aPXhgeevvHYvS8ePL/zVgHddALKJhoF9PXHioBee+eLwy9p4259Oivhv39vuu5824fTZt7xmY+88OqnkuS//LvP3cy+Dhv51byjaTUff/W3h1f6yRdufiNJ7p4JaDL9U38k/an/4X3pMvSdL14fHrz/koBuPAFlE10fvw8pD+hLxdH0LyXD5u6SIEAAAA+OSURBVN1WlPDmze8/lscwXX0Ok/m94Zoz/TLMaHYyPTu70uP5lYdXGgX0zbM/9fro1tKiZhfc+h0B3XQCyiYarUBvXcuTNvXuzmxZeFuxzryZLTmHTUzbeHf+AvswoF+dXP/Nfza+Uvo1PTUJaDL7U9MbLY6Yupa849n0i+dAN56AsonGz4G+9p7sz1tPz76fc1lA03Mfn3rZ/YiAvprM/tRJQLMF8Hv+ppF/Ka0SUDbR3KvwbzxWLaDpqRIB/f6RAU2DnSX0xUb+rbRIQNlEc8eBpgG9d/riEgG9u1RA75270XFQv7VT7Nez0QSUTXQ4oOMPtfvjF0sFNH+WM/W/XzgmoDM/dTqg2UGhSfEiPZtLQNlE8+9EujaO2fBJ0TIvIuXHMd185cePXIFmLyJN/9RJQL+WLT1f/9WFH0XKJhFQNtF8QF/Kjm/P3i/0/E7WuKUB/V52lP3n0m++vfP40QF98+xPnXoV/qP5jQrophNQNtG1uYDmr+okoyXj9eMCend+diG7dBTOSUDTyr78y4M3Hfqpo4AOT7+2Yxd+0wkoGyj7RPq3/s/pc0YFfcdw5/qx8YH0zyX5avIbxde0jW/++lRB35YF8+/SH/eRvK7jr+nVB4NDP3V8IP07nj14/WkL0I0noGyc8VHzM4vQ7/xIur/9Gy9OLs/WlvkB83cXuXxvug4dv+H9uR9OI/nrL4yPqr/ju58a/7Xnhh8+kn0Y06GfOlx0fu3Ps/Pf/Wwr/3waJKBspbX8XvgbN260/e+gXQLKVlpXQCV0uwkoW2l9AZXQbSagbKeVCzr8OPobGrrdBJTttJ6AjgsqodtJQNlSKxZ09PuQbkjoNhNQttRgpYIOJr9Q7saMNv9JNE5A2VYrBnTyg24s1N4/jOYIKFtrhYLO/kLjxQWV0i0goGyt+E78YP43wjdY0MG8tf50qrH12V4rBHT+RzUU0EP11NB22fRssWBBFxWrgX4WtdybpaFtst3ZYrGd+MW5qjugC+s53dD13AyV2Opss0hBj2xVnf08up5TDV3LLVGFbc5Wq17QY0JVW0CX5VNC22KLs90G1RJ6fKVq7OeSfI4SuoZbowIbnC1XqaBLGlVbP0vks0joGm6P8mxvtl75gi4NVA0BLbn8tAhtha0NJRehZeq09oBW6qeCNs3GhvxFmhL5LPFwWfNefLV82o1vmm0NB8sTWv417tl2rpjQ6v1U0EbZ1DA0OLqh1Q5Un197rpDQSD8VtEm2NBQGCxta/a2Sh3bewwkN9TMraOTGCLClYWItH9ax4MnP2NOhwX4qaHNsaJixYj0zi3IZeEkptgOfB9QDuxm2M6zdUams1tBwPy1BG2M7w9odk8nyhzet0E8FbYrNDOt3bB/LHSYa34HPA+qh3QRbGWbt76/+M8rspy+J6Er9tARtiK0Ms5oK6OSqiyK6Yj8VtBk2MsxZR0GrWbBPL6C9YCPDnOYDmpkt6Mr9VNBG2MYwp52AzhLQfrCNYY6AUpZtDHM6ENA19FNBm2ATw5x+BfTLT5x4VEDbYhPDnD4F9OrZJBHQ9tjEMKf9gJbu5+6H7js6oApaP1sY5vQooKlzAtoiWxjmCChl2cIwp18BPS+gLbKFYY6AUpYtDHMElLJsYSjsZw46FNCrZ08myf1P5jW8+HCSJHd+4NLwxO4nTp7e+/zJEx/MA5qeTE48+KX8orNJ8sCT/+spAW2CLQwj+yNt35E8oE+ceGRv70KSnM4Xmm+/tHfxZPbn8ODP5PS5ZHgEUxrQf3MmSZLicKZnTt2TXe92AW2ELQwj+x0paN7P88Ny7p4ZhvFynsfzWU6HB38mP/1Quu5Mc3o+X5defX+SZNU8P7zeZQFthi0MI/szWrwjWUGvZHXcyw5TykJaPNN5ebweTe6ZPAc6PCstbfJQdvVhdn9WQBthC8PI/ry27kgW0HNFInfP3P7oOKeXh5EsVqJzLyJdGe7fn0vuyp409RxoM2xhGDkU0LYamgY0XVA+NP+q+pefOHlMQNO/ke64p5ckxctJAlo/WxhGFgW0lYamAX3m1HgnvXDx/Xc+cuGYgKaLzzSgu8MXlB68JKCNsIVhpGMBzZ8DTf1W9sr7+0/84vG78HlA9/Y+ny5TEy8iNcMWhrFuBXTUyCsPZk9wDpO4JKB5crOjQoffCmjtbGEY60g/ixeRRkvQ8w9lO+bDHfrjApomN73sY1lnr75/eKaA1s4WhrGO9HMY0LSVyV2f3Nv78sfTtedoh/64gF4e7refO51/L6CNsIVhrCP9HC9Bcw8NV5fpl90n7ku/7P7CpUUB3T0z/HpuGNrhUU/6WT+bGMa60s9hQPPX05PkwWLJmaX0ysnhOzavnpocSP+HJ5MTw3ciDY//zI8DvXrGArQZNjGMdaWfxZs5L6QLzrt+Me/k508Ov30i62OxNh29Sj/8mJH7i+t97L9mf+uBJ70I3wibGMa60k+/F74vbGMY60w/BbQnbGMY60w/BbQnbGMY60w/11BQ/WyCjQxjAko1NjKMdaefKxdUPxthK8NYh/qZBnSVgg4EtBG2Mox1qJ8rLkH1sxk2M4x1KqCrFFQ/G2I7w1in+rnCTrwd+KbYzjDWqX6usATVz6bY0DDWsYBGC6qfjbGlYaxj/QzuxNuBb44tDWNdC2iooPrZIJsaxrrWz0hB9bNJtjWMdS+gWUGrJHSgn42ysWGse/2sWFD9bJitDWNdDGiV3Xj5bJrtDWOd7GfpRajlZ/NscBjp5gL0IC/osoQO9LMFtjiMdLWfB8sTKp/tsM1hpMMBLRK6uKED+WyLrQ4jXe7nwSih8w0dyGeLbHcY6XhAD8YNndf23dpeNj2MdL6fGfXsElsfRnoRULpEQKGgn1QloGw1O8Sswrywvbwkw4oMC1vKQUGszqSwlRyWzjqYE7aQN0ayHqaEreOjOVgXM8K2KZHPUULbvqt0nRFhy5TLZ5HQtu8sHWdC2Coll58WoZRiPtgmlfqpoCxjPNgi1fJpN55lTAfbo3o/FZRjGQ62RqSfCspxzAZbI9TPrKBt33E6y2ywLYL9VFCOZjTYErEd+DygHiYsZjLYEuF+WoJyJJPBdlihnwrKUQwGWyG+A58H1AOFRcwFW2GlflqCcgRzwTZYsZ8KymLGgm0goNTCWLAFVu6ngrKQqWALCCj1MBVsAQGlHqaCzbeGfiooixgKNt+xAb169u2XBJQYQ8HmOyagVx9OEgElylCw8Y7p5+6HTpYNqIJymJlg4x0R0M8/mv35zCkBJcxMsPEWB/SZfzUM6O4ZASXMTLDxFgf0/AkBZVVmgo23MKBXTgooKzMTbLxFAb1wMhFQVmYm2HhFQL/8xMkkufPBL2XV/FCSe6gIaNrTO3+xCOXFh9ML7s9P7X7i5Om9z5888UEBZREzwcbLA3rh5ANf2vvy2eTEI8M0np9agf7BuSymxekn/tGT6R9ZW/eunk3PPn2uuExAOcRMsOnyfl4u9tTTHJ6eD+jZf3wpPZ3cM7x8crXdD92XtvOnH0qXodmZAsohZoKNlxX0mVN5N7Nvbn9qNqAnTk+eC71cXO1yfnz9KKueA2UhM8HGywI66uVwbfnQ3Ar00uTruWQs6+z5Yr0qoCxkJth4aUDTPA7Xnfna8p7FAU2vkf45Dma+oy+gHMNMsPHSgI523Kd3zhcFdLynL6CUYSbYeHlAR7vwV04eH9B7BJTSzAQbL9+FH5UwDejRu/BTod37rUsCyhJmgo2XvYhUvHSU78KfPjKg2fWKNyZdedAKlGXMBBsvC2i67iyeBD2fF/KIgF7OjprP3oV08eRpAWUZM8Hmy49jyp/d3D2Th/N8tiS9+q8vjV6fL75m+/q5IrPjgOonhxkKNt/wvUhpCx+8tHe16Ge2JB2+Q/NC+vWR4vQje5OC3pVV9eqpyYH0AsphhoLNl7+Z8+rZ7MNEPjD66KW0nHc9WRw4//Y/ODNZdV64Ly3r8GrnptaiAsoChoIt4PfCUw9TwRYQUOphKtgCAko9TAXbYOWC6ieLGAu2gYBSC2PBVlixoPrJQuaCrTBYqaADAWUhc8F2WDGgbd99uslgsCVWKKh+cgSTwZaI78TbgecoJoNtsUJA277rdJXRYGsEC6qfHMlssDViO/F24Dma2WB7RAqqnxzDcLBFqhdUPzmO6WCbDKoldKCfHMt4sFUqFVQ/WcJ8sGXKF1Q+WcaEsG1KLkItP1nOiLB1BiUSOtBPSjAjbKFlCZVPyjElbKXB0Q0dyCdlmRO21GBhQwfySQUmhe01WKztu0V/GBa2mnqyCvMCECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEH/H37Zas/RX+uhAAAAAElFTkSuQmCC)
#Density ridgeline plots
library(ggridges)
ggplot(iris, aes(x = Sepal.Length, y = Species)) + geom_density_ridges()
## Picking joint bandwidth of 0.181
![](data:image/png;base64,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)
#We can also specify quantiles by cut points rather than number. E.g., we can indicate the 2.5% and 97.5% tails
ggplot(iris, aes(x = Sepal.Length, y = Species)) + stat_density_ridges(quantile_lines = TRUE, quantiles = c(0.025, 0.975), alpha = 0.7)
## Picking joint bandwidth of 0.181
![](data:image/png;base64,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)
#another plot
ggplot(iris, aes(x=Sepal.Length, y=Species, fill = factor(stat(quantile)))) + stat_density_ridges( geom = "density_ridges_gradient", calc_ecdf = TRUE, quantiles = 4, quantile_lines = TRUE ) + scale_fill_viridis_d(name = "Quartiles")
## Picking joint bandwidth of 0.181
![](data:image/png;base64,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)
#We can use the same approach to highlight the tails of the distributions.
ggplot(iris, aes(x = Sepal.Length, y = Species, fill = factor(stat(quantile)))) +
stat_density_ridges(
geom = "density_ridges_gradient",
calc_ecdf = TRUE,
quantiles = c(0.025, 0.975)
) +
scale_fill_manual(
name = "Probability", values = c("#FF0000A0", "#A0A0A0A0", "#0000FFA0"),
labels = c("(0, 0.025]", "(0.025, 0.975]", "(0.975, 1]")
)
## Picking joint bandwidth of 0.181
![](data:image/png;base64,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)
#Data transformation
library("dplyr")
##
## Attaching package: 'dplyr'
##
## The following objects are masked from 'package:igraph':
##
## as_data_frame, groups, union
##
## The following objects are masked from 'package:stats':
##
## filter, lag
##
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
starwars %>% filter(species == "Droid")
## # A tibble: 6 x 14
## name height mass hair_color skin_color eye_color birth_year sex gender
## <chr> <int> <dbl> <chr> <chr> <chr> <dbl> <chr> <chr>
## 1 C-3PO 167 75 <NA> gold yellow 112 none mascu~
## 2 R2-D2 96 32 <NA> white, bl~ red 33 none mascu~
## 3 R5-D4 97 32 <NA> white, red red NA none mascu~
## 4 IG-88 200 140 none metal red 15 none mascu~
## 5 R4-P~ 96 NA none silver, r~ red, blue NA none femin~
## 6 BB8 NA NA none none black NA none mascu~
## # ... with 5 more variables: homeworld <chr>, species <chr>, films <list>,
## # vehicles <list>, starships <list>