ggplot2 cheatsheet.pdf
Labs(绘图区外部的各种元素的标题)
labs(..., title = , subtitle = , caption = , tag = )
图形标题、副标题和说明
title, 主标题。使用标题的目的是概括主要成果。尽量不要使用那些只对图形进行描述的标题,如”发动机排量与燃油效率散点图”。
subtitle, 副标题。在标题下以更小的字体添加更多附加信息。
caption, 说明,在图形下方添加文本,常用于描述数据来源。
ggplot (mpg, aes (displ, hwy)) +
geom_point (aes (color = class)) +
geom_smooth (se = FALSE ) +
labs (
title = paste ("Fuel efficiency generally decreases with" , "engine size" ),
subtitle = paste (
"Two seaters (sports cars) are an exception" ,
"because of their light weight"
),
caption = "Data from fueleconomy.gov"
)
坐标轴和图例的标题
简短的变量名称加单位
# 气泡图
ggplot (mtcars, aes (x = wt, y = mpg, size = disp)) +
# 将disp变量映射为图形的size属性,本例中即为散点的大小。同时生成size图例
geom_point (shape = 21 , color = "black" , fill = "cornsilk" ) +
# shape=21表示有框圆形(不同于单一颜色的小圆点)
labs (
x = "Weight (1000 lbs)" , y = "Miles/(US) gallon" ,
title = "Bubble Chart" ,
size = "Engine \n Displacement (cu.in.)"
# size意为对图例添加标签
)
使用数学公式代替字符串文本
quote()
使用?plotmath命令查看可用选项
df <- tibble (
x = runif (10 ),
y = runif (10 )
)
ggplot (df, aes (x, y)) +
geom_point () +
labs (
x = quote (sum (x[i]^ 2 , i == 1 , n)),
y = quote (alpha + beta + frac (delta, theta))
)
绘图区内部的文本标签和说明
geom_label()
和ggrepel::geom_label_repel()
在数据旁添加文本标签
geom_text()
和ggrepel::geom_text_repel()
在图内添加文本说明
数据点旁的标签
# 先选取出每类汽车中效率最高的型号,然后在图形中标记出来
best_in_class <- mpg %>%
group_by (class) %>%
filter (row_number (desc (hwy)) == 1 ) # desc()排序
ggplot (mpg, aes (displ, hwy)) + # 全局映射和全局数据
geom_point (aes (color = class)) +
geom_text (aes (label = model), data = best_in_class) # 用局部数据,将model变量映射为文本标签
ggplot (mpg, aes (displ, hwy)) +
geom_point (aes (color = class)) +
geom_label (aes (label = model),
data = best_in_class,
nudge_y = 2 , alpha = 0.5
) # nudge_y参数可以调整标签相对于数据点的位置
# ggrepel包可以自动调整标签的位置,使它们免于重叠
ggplot (mpg, aes (displ, hwy)) +
geom_point (aes (color = class)) +
geom_point (size = 3 , shape = 1 , data = best_in_class) +
# 添加了一个图层,用较大的空心圆来强调添加了标签的数据点
ggrepel:: geom_label_repel (aes (label = model), data = best_in_class)
# 将标签直接放在图形上,以替代图例
# 分组,对每组取数据分布的中位数,在该处放置组名
class_avg <- mpg %>%
group_by (class) %>%
summarize (displ = median (displ), hwy = median (hwy))
ggplot (mpg, aes (displ, hwy, color = class)) +
ggrepel:: geom_label_repel (
aes (label = class),
data = class_avg, size = 6 ,
label.size = 0 , segment.color = NA
) +
geom_point () +
theme (legend.position = "none" ) # 不显示图例
图中空白处的说明
创建一个数据点,位置在空白处,借这个数据添加标签
# 创建只有一个观测的数据框,用以保存标签的坐标
label <- mpg %>%
summarize (
displ = max (displ), hwy = max (hwy),
label = paste (
"Increasing engine size is \n related to" ,
"decreasing fuel economy."
)
)
ggplot (mpg, aes (displ, hwy)) +
geom_point () +
geom_text (
aes (label = label),
data = label,
vjust = "top" , hjust = "right"
)
# 如果想让标签紧贴着图形的边界,可以使用+Inf和-Inf值(因为坐标轴的实际范围要比数据范围大一些)
label <- tibble (
displ = Inf , hwy = Inf ,
label = paste (
"Increasing engine size is \n related to" ,
"decreasing fuel economy."
)
)
ggplot (mpg, aes (displ, hwy)) +
geom_point () +
geom_text (aes (label = label), data = label, vjust = "top" , hjust = "right" )
# 自动为标签断行的方法
"Increasing engine size related to decreasing fuel economy." %>%
stringr:: str_wrap (width = 40 ) %>%
writeLines ()
#> Increasing engine size related to
#> decreasing fuel economy.
vjust和hjust参数
设置标签相对于坐标的对齐方式
参考线、箭头和方框
可以使用geom_hline(yintercept = 0)
和geom_vline(xintercept = 0)
添加参考线。我们经常使用加粗(size = 2)和白色(color = white)的直线作为参考线,并将它们绘制在基本数据层的下面。这样的参考线既清晰可见,又不至于喧宾夺主,影响我们查看数据。
可以使用geom_rect()
在我们感兴趣的数据点周围绘制一个矩形。矩形的边界由图形属性 xmin、 xmax、 ymin 和 ymax 确定。
可以使用geom_segment()
及arrow
参数绘制箭头,指向需要关注的数据点。使用 x 和 y 属性来定义开始位置,使用 xend 和 yend 属性来定义结束位置。
geom_segment (
x = 6 , y = 4 , xend = 3 , yend = 1 , colour = "blue" ,
arrow = arrow (angle = 30 , length = unit (0.5 , "cm" ), type = "open" )
)
# angle为箭头所张角度,type决定箭头是空心还是实心
图例 Legends
guides()
要想控制单个图例的显示,可以配合guide_legend()(负责离散型图例)或guide_colorbar()(负责连续型图例)来使用guides()
ggplot (mpg, aes (displ, hwy)) +
geom_point (aes (color = class)) +
geom_smooth (se = FALSE ) +
theme (legend.position = "bottom" ) +
guides (color = guide_legend (nrow = 1 , override.aes = list (size = 4 )))
# nrow使图例排列为1行,size = 4使图例中的数据点更大一些
图例的位置
theme()中的legend.position参数可以控制图例的整体位置:
base <- ggplot (mpg, aes (displ, hwy)) +
geom_point (aes (color = class))
base + theme (legend.position = "left" )
base + theme (legend.position = "top" )
base + theme (legend.position = "bottom" )
base + theme (legend.position = "right" ) # 默认设置
base + theme (legend.position = "none" )
也可以指定一个二元素向量,表示图例的中心相对于整张图左下角的距离(都用比例表示)
data (Salaries, package = "car" )
Salaries %>%
ggplot (aes (x = rank, y = salary, fill = sex)) +
geom_boxplot () +
scale_x_discrete (
breaks = c ("AsstProf" , "AssocProf" , "Prof" ),
labels = c (
"Assistant \n Professor" ,
"Associate \n Professor" ,
"Full \n Professor"
)
) +
scale_y_continuous (
breaks = c (50000 , 100000 , 150000 , 200000 ),
labels = c ("$50K" , "$100K" , "$150K" , "$200K" )
) +
labs (
title = "Faculty Salary by Rank and Gender" ,
x = "" , y = "" , fill = "Gender"
) +
theme (legend.position = c (0.1 , 0.8 ))
# 图例中心相对于整张图左下角的距离,0.1和0.8都是相对于整个画面的比例
主题
theme()可以定制图形中的非数据元素,使图表有自己的风格,在做图表时不考虑格式,最后一次性应用主题。
ggplot2内置的八种主题
默认主题使用灰色背景,这样可以在网格线可见的情况下更加突出数据。白色网格线既是可见的(这非常重要,因为它们非常有助于位置判定),又对视觉没有什么严重影响,我们完全可以对其视而不见。图表的灰色背景不像白色背景那么突兀,与文本印刷颜色非常相近,保证了图形与文档其他部分浑然一体。最后,灰色背景可以创建一片连续的颜色区域,使图形成为形象鲜明的一个独立视觉实体。
自定义主题
所有可定义的参数可查询ggplot2::theme()
的帮助文档
plot.title
图标题
plot.caption
图标注(一般是资料来源)
axis.title
轴标题
axis.text
轴须标签
panel.background
画图区域(fill填充,color边框)
panel.grid.major.y
y轴(水平)主要网格线
panel.grid.minor.y
y轴(水平)次要网格线
panel.grid.major.x
x轴(竖直)主要网格线
panel.grid.minor.x
x轴(竖直)次要网格线
legend.position
图例的位置
legend.title
图例的标题
legend.text
图例各项的文字
data (Salaries, package = "car" )
# 定义自己的主题mytheme
mytheme <-
theme (
plot.title = element_text (
face = "bold.italic" ,
size = 14 , color = "brown"
),
axis.title = element_text (
face = "bold.italic" , size = 10 ,
color = "brown"
),
axis.text = element_text (
face = "bold" , size = 9 ,
color = "darkblue"
),
panel.background = element_rect (
fill = "white" ,
color = "darkblue"
),
panel.grid.major.y = element_line (color = "grey" , linetype = 1 ),
panel.grid.minor.y = element_line (color = "grey" , linetype = 2 ),
panel.grid.major.x = element_blank (),
panel.grid.minor.x = element_blank (),
legend.position = "top"
)
# 在画图时,应用自己的主题mytheme
ggplot (Salaries, aes (x = rank, y = salary, fill = sex)) +
geom_boxplot () +
labs (title = "Salary by Rank and Sex" , x = "Rank" , y = "Salary" ) +
mytheme
套用现成主题:ggthemes包
ggplot (Salaries, aes (x = rank, y = salary, fill = sex)) +
geom_boxplot () +
labs (title = "Salary by Rank and Sex" , x = "Rank" , y = "Salary" ) +
theme_wsj () +
scale_fill_wsj ()
ggplot (Salaries, aes (x = rank, y = salary, fill = sex)) +
geom_boxplot () +
labs (title = "Salary by Rank and Sex" , x = "Rank" , y = "Salary" ) +
theme_wsj () +
scale_fill_wsj ("rgby" , "" ) +
theme (axis.ticks.length = unit (0.5 , "cm" )) +
guides (fill = guide_legend (title = NULL ))
ggplot (Salaries, aes (x = rank, y = salary, fill = sex)) +
geom_boxplot () +
labs (title = "Salary by Rank and Sex" , x = "Rank" , y = "Salary" ) +
theme_economist (base_size = 14 ) +
scale_fill_economist () +
theme (axis.ticks.length = unit (0.5 , "cm" )) +
guides (fill = guide_legend (title = NULL ))
多图拼接
ggplot2包认为它提供的刻面功能已经足够了。为了组合ggplot图形,需要使用其他包。
patchwork 包
(p1/p2)|p3
表示p1和p2居左,分别上下;p3居右,合并成一幅图
---
title: "ggplot2-2"
subtitle: '样式美化'
author: "Humoon"
date: "`r Sys.Date()`"
output:
  html_document:
    code_download: yes
    css: ../css/style.css
    fig_caption: yes
    theme: united
    highlight: haddock
    number_sections: no
    toc: yes
    toc_depth: 4
    toc_float:
      collapsed: yes
      smooth_scroll: yes
documentclass: ctexart
classoption: hyperref,
---

```{r setup, include = FALSE}
source("../Rmarkdown-template/Rmarkdown_config.R")

## global options ===================================
knitr::opts_chunk$set(
  width = config$width,
  fig.width = config$fig.width,
  fig.asp = config$fig.asp,
  out.width = config$out.width,
  fig.align = config$fig.align,
  fig.path = config$fig.path,
  fig.show = config$fig.show,
  warn = config$warn,
  warning = config$warning,
  message = config$message,
  echo = config$echo, 
  eval = config$eval, 
  tidy = config$tidy, 
  comment = config$comment, 
  collapse = config$collapse, 
  cache = config$cache,
  cache.comments = config$cache.comments,
  autodep = config$autodep
)

## use necessary packages ==============================
library(tidyverse)
library(data.table)
library(magrittr)
library(plotly)
library(htmlwidgets)

pacman::p_load(
  lubridate,
  showtext,
  DT,
  jsonlite,
  reticulate,
  car, 
  readxl, 
  reshape2, 
  RColorBrewer
)

data(car::Salaries)

## plotting =============================================

# 包含图的代码块需要fig.showtext = TRUE选项
showtext_auto(enable = TRUE)
windowsFonts(H = windowsFont("Microsoft YaHei"))
```

<a href="../pdf/cheatsheet-ggplot.pdf">*ggplot2 cheatsheet.pdf*</a>

<object data="../pdf/cheatsheet-ggplot.pdf" type="application/pdf" width="100%" height="100%"></object>

## Labs(绘图区外部的各种元素的标题)

`labs(..., title = , subtitle = , caption = , tag = )`

### 图形标题、副标题和说明

title, 主标题。使用标题的目的是概括主要成果。尽量不要使用那些只对图形进行描述的标题，如"发动机排量与燃油效率散点图"。

subtitle, 副标题。在标题下以更小的字体添加更多附加信息。

caption, 说明，在图形下方添加文本，常用于描述数据来源。

```{r}
ggplot(mpg, aes(displ, hwy)) +
  geom_point(aes(color = class)) +
  geom_smooth(se = FALSE) +
  labs(
    title = paste("Fuel efficiency generally decreases with", "engine size"),
    subtitle = paste(
      "Two seaters (sports cars) are an exception",
      "because of their light weight"
    ),
    caption = "Data from fueleconomy.gov"
  )
```

### 坐标轴和图例的标题

简短的变量名称加单位

```{r, fig.show='asis'}
# 气泡图
ggplot(mtcars, aes(x = wt, y = mpg, size = disp)) +
  # 将disp变量映射为图形的size属性，本例中即为散点的大小。同时生成size图例
  geom_point(shape = 21, color = "black", fill = "cornsilk") +
  # shape=21表示有框圆形（不同于单一颜色的小圆点）
  labs(
    x = "Weight (1000 lbs)", y = "Miles/(US) gallon",
    title = "Bubble Chart",
    size = "Engine\nDisplacement (cu.in.)"
    # size意为对图例添加标签
  )
```

### 使用数学公式代替字符串文本

`quote()`

使用?plotmath命令查看可用选项

```{r}
df <- tibble(
  x = runif(10),
  y = runif(10)
)

ggplot(df, aes(x, y)) +
  geom_point() +
  labs(
    x = quote(sum(x[i]^2, i == 1, n)),
    y = quote(alpha + beta + frac(delta, theta))
  )
```

## 绘图区内部的文本标签和说明

`geom_label()`和`ggrepel::geom_label_repel()`在数据旁添加文本标签

`geom_text()`和`ggrepel::geom_text_repel()`在图内添加文本说明

### 数据点旁的标签

```{r, fig.show='asis'}
# 先选取出每类汽车中效率最高的型号，然后在图形中标记出来
best_in_class <- mpg %>%
  group_by(class) %>%
  filter(row_number(desc(hwy)) == 1) # desc()排序


ggplot(mpg, aes(displ, hwy)) + # 全局映射和全局数据
  geom_point(aes(color = class)) +
  geom_text(aes(label = model), data = best_in_class) # 用局部数据，将model变量映射为文本标签

ggplot(mpg, aes(displ, hwy)) +
  geom_point(aes(color = class)) +
  geom_label(aes(label = model),
    data = best_in_class,
    nudge_y = 2, alpha = 0.5
  ) # nudge_y参数可以调整标签相对于数据点的位置

# ggrepel包可以自动调整标签的位置，使它们免于重叠
ggplot(mpg, aes(displ, hwy)) +
  geom_point(aes(color = class)) +
  geom_point(size = 3, shape = 1, data = best_in_class) +
  # 添加了一个图层，用较大的空心圆来强调添加了标签的数据点
  ggrepel::geom_label_repel(aes(label = model), data = best_in_class)

# 将标签直接放在图形上，以替代图例
# 分组，对每组取数据分布的中位数，在该处放置组名
class_avg <- mpg %>%
  group_by(class) %>%
  summarize(displ = median(displ), hwy = median(hwy))

ggplot(mpg, aes(displ, hwy, color = class)) +
  ggrepel::geom_label_repel(
    aes(label = class),
    data = class_avg, size = 6,
    label.size = 0, segment.color = NA
  ) +
  geom_point() +
  theme(legend.position = "none") # 不显示图例
```

### 图中空白处的说明

创建一个数据点，位置在空白处，借这个数据添加标签

```{r, fig.show='asis'}
# 创建只有一个观测的数据框，用以保存标签的坐标
label <- mpg %>%
  summarize(
    displ = max(displ), hwy = max(hwy),
    label = paste(
      "Increasing engine size is \nrelated to",
      "decreasing fuel economy."
    )
  )

ggplot(mpg, aes(displ, hwy)) +
  geom_point() +
  geom_text(
    aes(label = label),
    data = label,
    vjust = "top", hjust = "right"
  )

# 如果想让标签紧贴着图形的边界，可以使用+Inf和-Inf值（因为坐标轴的实际范围要比数据范围大一些）
label <- tibble(
  displ = Inf, hwy = Inf,
  label = paste(
    "Increasing engine size is \nrelated to",
    "decreasing fuel economy."
  )
)

ggplot(mpg, aes(displ, hwy)) +
  geom_point() +
  geom_text(aes(label = label), data = label, vjust = "top", hjust = "right")

# 自动为标签断行的方法
"Increasing engine size related to decreasing fuel economy." %>%
  stringr::str_wrap(width = 40) %>%
  writeLines()
```

### vjust和hjust参数

设置标签相对于坐标的对齐方式

![20220323-标签相对于坐标的对齐方式](http://humoon-image-hosting-service.oss-cn-beijing.aliyuncs.com/img/typora/2022/20220323-标签相对于坐标的对齐方式.png)

## 参考线、箭头和方框

-   可以使`用geom_hline(yintercept = 0)`和`geom_vline(xintercept = 0)`添加参考线。我们经常使用加粗（size = 2）和白色（color = white）的直线作为参考线，并将它们绘制在基本数据层的下面。这样的参考线既清晰可见，又不至于喧宾夺主，影响我们查看数据。

-   可以使用`geom_rect()`在我们感兴趣的数据点周围绘制一个矩形。矩形的边界由图形属性 xmin、 xmax、 ymin 和 ymax 确定。

-   可以使用`geom_segment()`及`arrow`参数绘制箭头，指向需要关注的数据点。使用 x 和 y 属性来定义开始位置，使用 xend 和 yend 属性来定义结束位置。

```{r, eval=FALSE}
geom_segment(
  x = 6, y = 4, xend = 3, yend = 1, colour = "blue",
  arrow = arrow(angle = 30, length = unit(0.5, "cm"), type = "open")
)
# angle为箭头所张角度，type决定箭头是空心还是实心
```

## 图例 Legends

### guides()

要想控制单个图例的显示，可以配合guide_legend()（负责离散型图例）或guide_colorbar()（负责连续型图例）来使用guides()

```{r}
ggplot(mpg, aes(displ, hwy)) +
  geom_point(aes(color = class)) +
  geom_smooth(se = FALSE) +
  theme(legend.position = "bottom") +
  guides(color = guide_legend(nrow = 1, override.aes = list(size = 4)))
# nrow使图例排列为1行，size = 4使图例中的数据点更大一些
```

### 图例的位置

theme()中的legend.position参数可以控制图例的整体位置：

```{r, fig.show='asis'}
base <- ggplot(mpg, aes(displ, hwy)) +
  geom_point(aes(color = class))

base + theme(legend.position = "left")
base + theme(legend.position = "top")
base + theme(legend.position = "bottom")
base + theme(legend.position = "right") # 默认设置
base + theme(legend.position = "none")
```

也可以指定一个二元素向量，表示图例的中心相对于整张图左下角的距离（都用比例表示）

```{r}
data(Salaries, package = "car")

Salaries %>%
  ggplot(aes(x = rank, y = salary, fill = sex)) +
  geom_boxplot() +
  scale_x_discrete(
    breaks = c("AsstProf", "AssocProf", "Prof"),
    labels = c(
      "Assistant\nProfessor",
      "Associate\nProfessor",
      "Full\nProfessor"
    )
  ) +
  scale_y_continuous(
    breaks = c(50000, 100000, 150000, 200000),
    labels = c("$50K", "$100K", "$150K", "$200K")
  ) +
  labs(
    title = "Faculty Salary by Rank and Gender",
    x = "", y = "", fill = "Gender"
  ) +
  theme(legend.position = c(0.1, 0.8))
# 图例中心相对于整张图左下角的距离，0.1和0.8都是相对于整个画面的比例
```

## 主题

theme()可以定制图形中的非数据元素，使图表有自己的风格，在做图表时不考虑格式，最后一次性应用主题。

### ggplot2内置的八种主题

![20220323-内置主题](http://humoon-image-hosting-service.oss-cn-beijing.aliyuncs.com/img/typora/2022/20220323-内置主题.png) 

默认主题使用灰色背景，这样可以在网格线可见的情况下更加突出数据。白色网格线既是可见的（这非常重要，因为它们非常有助于位置判定)，又对视觉没有什么严重影响，我们完全可以对其视而不见。图表的灰色背景不像白色背景那么突兀，与文本印刷颜色非常相近，保证了图形与文档其他部分浑然一体。最后，灰色背景可以创建一片连续的颜色区域，使图形成为形象鲜明的一个独立视觉实体。

### 自定义主题

所有可定义的参数可查询`ggplot2::theme()`的帮助文档

| 参数               | 设置的对象                      |
|--------------------|---------------------------------|
| plot.title         | 图标题                          |
| plot.caption       | 图标注（一般是资料来源）        |
| axis.title         | 轴标题                          |
| axis.text          | 轴须标签                          |
| panel.background   | 画图区域（fill填充，color边框） |
| panel.grid.major.y | y轴（水平）主要网格线           |
| panel.grid.minor.y | y轴（水平）次要网格线               |
| panel.grid.major.x | x轴（竖直）主要网格线               |
| panel.grid.minor.x | x轴（竖直）次要网格线               |
| legend.position    | 图例的位置                      |
| legend.title       | 图例的标题                      |
| legend.text        | 图例各项的文字                  |

```{r}
data(Salaries, package = "car")

# 定义自己的主题mytheme
mytheme <-
  theme(
    plot.title = element_text(
      face = "bold.italic",
      size = 14, color = "brown"
    ),
    axis.title = element_text(
      face = "bold.italic", size = 10,
      color = "brown"
    ),
    axis.text = element_text(
      face = "bold", size = 9,
      color = "darkblue"
    ),
    panel.background = element_rect(
      fill = "white",
      color = "darkblue"
    ),
    panel.grid.major.y = element_line(color = "grey", linetype = 1),
    panel.grid.minor.y = element_line(color = "grey", linetype = 2),
    panel.grid.major.x = element_blank(),
    panel.grid.minor.x = element_blank(),
    legend.position = "top"
  )

# 在画图时，应用自己的主题mytheme
ggplot(Salaries, aes(x = rank, y = salary, fill = sex)) +
  geom_boxplot() +
  labs(title = "Salary by Rank and Sex", x = "Rank", y = "Salary") +
  mytheme
```

### 套用现成主题：ggthemes包

```{r, fig.show='asis'}
ggplot(Salaries, aes(x = rank, y = salary, fill = sex)) +
  geom_boxplot() +
  labs(title = "Salary by Rank and Sex", x = "Rank", y = "Salary") +
  theme_wsj() +
  scale_fill_wsj()

ggplot(Salaries, aes(x = rank, y = salary, fill = sex)) +
  geom_boxplot() +
  labs(title = "Salary by Rank and Sex", x = "Rank", y = "Salary") +
  theme_wsj() +
  scale_fill_wsj("rgby", "") +
  theme(axis.ticks.length = unit(0.5, "cm")) +
  guides(fill = guide_legend(title = NULL))

ggplot(Salaries, aes(x = rank, y = salary, fill = sex)) +
  geom_boxplot() +
  labs(title = "Salary by Rank and Sex", x = "Rank", y = "Salary") +
  theme_economist(base_size = 14) +
  scale_fill_economist() +
  theme(axis.ticks.length = unit(0.5, "cm")) +
  guides(fill = guide_legend(title = NULL))
```

## 多图拼接

ggplot2包认为它提供的刻面功能已经足够了。为了组合ggplot图形，需要使用其他包。

### patchwork 包

`(p1/p2)|p3` 表示p1和p2居左，分别上下；p3居右，合并成一幅图

### gridExtra 包

`gridExtra::grid.arrange()`可以组合多幅图

```{r}
data(Salaries, package = "car")
# ggplot()画的图可以保存为一个对象！
p1 <- ggplot(data = Salaries, aes(x = rank)) +
  geom_bar()
p2 <- ggplot(data = Salaries, aes(x = sex)) +
  geom_bar()
p3 <- ggplot(data = Salaries, aes(x = yrs.since.phd, y = salary)) +
  geom_point()

library(gridExtra)
grid.arrange(p1, p2, p3, ncol = 3)
```

`arrangeGrob()`则可以处理一个由图对象组成的列表（循环作图时很有用）

```{r}
p <- list(p1, p2, p3)
graph <- arrangeGrob(grobs = p, ncol = 3)
grid.arrange(graph)
```
