R語言數據分析與挖掘實戰手冊

程靜

畢業於重慶大學，目前就職於西部估值最高的互聯網公司豬八戒網，
擔任高級數據分析工程師，負責行業數據蒐集、整理、分析，
並依據數據做出行業研究、評估和預測，
擅長大數據分析及數據挖掘的各種算法熟練使用R語言及Python語言。

第1 章R 語言簡介

1.1 R 語言軟件的安裝與運行.......................................... .................................................. .....1

1.1.1 R 語言軟件的安裝、啟動與關閉...................................... .....................................1

1.1.2 R 語言程輯包的安裝和使用...................................... ............................................4

1.2 R 語言的數據結構............................................ .................................................. ...............6

1.2.1 R 語言對象和類型.......................................... .................................................. .....6

1.2.2 向量.............................................. .................................................. ........................7

1.2.3 數組和矩陣............................................ .................................................. .............12

1.2.4 列表.............................................. .................................................. ......................17

1.2.5 數據框............................................. .................................................. ...................20

第2 章數據的讀取與保存

2.1 數據的讀取............................................. .................................................. .......................24

2.1.1 讀取內置數據集和文本文件....................................... .........................................24

2.1.2 讀取Excel 數據和CSV 格式的數據...................................... ..............................30

2.1.3 讀取R 語言格式數據和網頁數據...................................... ..................................33

2.1.4 讀取其他格式的數據......................................... .................................................. 34

2.2 數據保存............................................... .................................................. .........................36

2.2.1 寫出數據............................................ .................................................. ................36

2.2.2 使用函數cat().......................................... .................................................. ..........37

2.2.3 保存為R 語言格式文件......................................... ..............................................38

2.2.4 保存為其他類型文件.......................................... .................................................39

第3 章數據預處理

3.1 缺失值處理.............................................. .................................................. ......................40

3.1.1 缺失值判斷............................................ .................................................. .............40

3.1.2 缺失模型判斷............................................ .................................................. .........44

3.1.3 常用處理方法............................................ .................................................. .........48

3.2 數據整理............................................... .................................................. .........................53

3.2.1 數據合併............................................. .................................................. ...............53

3.2.2 選取子集............................................ .................................................. ................56

3.2.3 數據轉換............................................. .................................................. ...............59

第4 章數據的探索性分析

4.1 基本繪圖函數.............................................. .................................................. ..................66

4.2 探索單個變量.............................................. .................................................. ..................74

4.2.1 單組數據的圖形描述......................................... .................................................. 74

4.2.2 單組數據的描述性分析........................................ ...............................................79

4.3 探索多個變量............................................. .................................................. ...................81

4.3.1 兩組數據的圖形描述......................................... .................................................. 81

4.3.2 多組數據的圖形描述......................................... .................................................. 85

4.3.3 多組數據的描述性統計........................................ ...............................................88

4.4 其他圖像探索.............................................. .................................................. ..................90

第5 章回歸分析

5.1 一元線性回歸.............................................. .................................................. ..................94

5.1.1 模型簡介............................................. .................................................. ...............94

5.1.2 函數介紹............................................. .................................................. ...............96

5.1.3 綜合案例：iris 數據集的一元回歸建模.................................... ..........................97

5.2 多元線性回歸.............................................. .................................................. ..................99

5.2.1 模型簡介............................................. .................................................. ...............99

5.2.2 綜合案例：iris 數據集的多元回歸建模.................................... ........................100

5.3 變量的選擇.............................................. .................................................. ....................105

5.3.1 逐步回歸方法簡介及函數介紹........................................ ..................................105

5.3.2 綜合案例：swiss 數據集的逐步回歸建模.................................... .....................106

5.3.3 嶺回歸的方法簡介及函數介紹....................................... ...................................109

5.3.4 綜合案例：longley 數據集的嶺回歸探索..................................... .....................110

5.3.5 lasso 回歸方法簡介及函數介紹........................................ .................................114

5.3.6 綜合案例：longley 數據集的lasso 回歸建模.................................... ................115

5.4 Logistic 回歸............................................... .................................................. .................117

5.4.1 模型簡介............................................. .................................................. .............117

5.4.2 函數介紹............................................. .................................................. .............119

5.4.3 綜合案例：iris 數據集的邏輯回歸建模.................................... ........................120

第6 章方差分析

6.1 單因素方差分析............................................. .................................................. .............124

6.1.1 模型介紹............................................. .................................................. .............124

6.1.2 函數介紹............................................. .................................................. .............126

6.1.3 綜合案例：不同治療方法下膽固醇降低效果的差異性分析............................ 127

6.2 雙因素方差分析............................................. .................................................. .............130

6.2.1 模型介紹............................................. .................................................. .............130

6.2.2 綜合案例：不同劑量下老鼠妊娠重量的差異性分析.................................. ...... 132

6.3 協方差分析.............................................. .................................................. ....................136

6.3.1 模型簡介............................................. .................................................. .............136

6.3.2 函數介紹............................................. .................................................. .............136

6.3.3 綜合案例：hotdog 數據集的協方差分析..................................... ......................137

第7 章主成分分析和因子分析

7.1 降維的基本方法：主成分分析........................................ .............................................139

7.1.1 理論基礎：原始變量的線性組合....................................... ...............................139

7.1.2 模型介紹............................................. .................................................. .............141

7.1.3 函數介紹............................................. .................................................. .............143

7.1.4 綜合案例：longley 數據集的變量降維及回歸................................... ...............144

7.1.5 綜合案例：longley 數據集的變量降維及回歸（主成分回歸）....................... 148

7.2 推廣發展：因子分析............................................ .................................................. ......150

7.2.1 理論基礎：多個變量綜合為少數因子..................................... ..........................150

7.2.2 模型介紹............................................. .................................................. .............151

7.2.3 函數介紹............................................. .................................................. .............153

7.2.4 綜合案例：能力和智商測試的因子分析探索.................................... ...............154

第8 章判別分析

8.1 距離判別法.............................................. .................................................. ....................160

8.1.1 理論基礎：離誰近，就屬於誰..................................... .....................................160

8.1.2 函數介紹............................................. .................................................. .............162

8.1.3 綜合案例：基於距離判別的iris 數據集分類.................................... ................164

8.2 Bayes 判別法.............................................. .................................................. .................168

8.2.1 理論基礎：先驗概率與錯判損失..................................... .................................168

8.2.2 函數介紹............................................. .................................................. .............170

8.2.3 綜合案例：基於iris 數據集的Bayes 判別分析.................................... ............171

8.3 Fisher 判別法.............................................. .................................................. .................171

8.3.1 理論基礎：投影........................................... .................................................. ....171

8.3.2 函數介紹............................................. .................................................. .............173

8.3.3 綜合案例：基於Fisher 判別的iris 數據集分類.................................... ............174

第9 章常規聚類分析

9.1 深入了解聚類分析............................................ .................................................. ..........178

9.1.1 差異與分類............................................ .................................................. ...........178

9.1.2 主流的聚類算法.......................................... .................................................. .....179

9.2 動態聚類.............................................. .................................................. ........................180

9.2.1 聚類的基本過程.......................................... .................................................. .....180

9.2.2 函數介紹............................................. .................................................. .............183

9.2.3 綜合案例：基於隨機生成序列的動態聚類.................................... ...................184

9.3 層次聚類.............................................. .................................................. ........................194

9.3.1 聚類的基本過程.......................................... .................................................. .....194

9.3.2 函數介紹............................................. .................................................. .............197

9.3.3 綜合案例：基於UScitiesD 數據集的層次聚類.................................... .............199

9.4 密度聚類.............................................. .................................................. ........................202

9.4.1 聚類的基本過程.......................................... .................................................. .....202

9.4.2 函數介紹............................................. .................................................. .............202

9.4.3 綜合案例：基於隨機生成序列的密度聚類.................................... ...................203

9.5 EM 聚類.............................................. .................................................. .........................204

9.5.1 聚類的基本過程.......................................... .................................................. .....205

9.5.2 函數介紹............................................. .................................................. .............205

9.5.3 綜合案例：基於iris 數據集的EM 聚類.................................... ........................206

第10 章關聯規則

10.1 簡單關聯規則.............................................. .................................................. ..............210

10.1.1 基本概念與表示形式.......................................... .............................................210

10.1.2 評價簡單關聯規則的有效性和實用性..................................... ........................211

10.2 序列關聯規則.............................................. .................................................. ..............212

10.2.1 差異與基本概念........................................... .................................................. ..212

10.2.2 生成序列關聯規則........................................... ................................................213

10.3 Apriori 算法............................................... .................................................. ................214

10.3.1 算法介紹：挖掘頻繁項集........................................ ........................................214

10.3.2 函數介紹............................................. .................................................. ...........215

10.3.3 綜合案例：基於Titanic 數據集的關聯規則挖掘.................................... ........216

10.4 Eclat 算法............................................... .................................................. ...................224

10.4.1 算法介紹：自底向上的搜索....................................... .....................................224

10.4.2 函數介紹............................................. .................................................. ...........224

10.4.3 綜合案例：基於美國人口調查數據的關聯規則挖掘................................... ... 225

10.5 SPADE 算法............................................... .................................................. ................230

10.5.1 算法介紹：基於序列格的搜索和連接..................................... ........................231

10.5.2 函數介紹............................................. .................................................. ...........232

10.5.3 綜合案例：基於zaki 數據集的序列關聯規則挖掘................................... ......233

第11 章神經網絡

11.1 深入了解人工神經網絡............................................ .................................................. .239

11.1.1 生物神經元............................................ .................................................. .........240

11.1.2 人工神經元模型........................................... .................................................. ..241

11.1.3 人工神經網絡種類........................................... ................................................244

11.1.4 建立模型的一般步驟.......................................... ..............................................247

11.2 BP 反向傳播網絡............................................ .................................................. .........248

11.2.1 BP 反向傳播網絡模型......................................... ...........................................248

11.2.2 算法介紹............................................. .................................................. ............249

11.2.3 函數介紹............................................. .................................................. ............250

11.3 綜合案例：基於Boston 數據的波士頓郊區房價預測建模.................................... .... 252