Preface 7
前言

Chapter 1 Introduction 11
第1章 簡(jiǎn)介
1.1 Why Study Statistics? 11
1.1 學(xué)習(xí)數(shù)理統(tǒng)計(jì)的意義
1.2 Modern Statistics 12
1.2 現(xiàn)代數(shù)理統(tǒng)計(jì)
1.3 Statistics and Engineering 12
1.3 數(shù)理統(tǒng)計(jì)與工程
1.4 The Role of the Scientist and Engineer in Quality Improvement 13
1.4 科研人員和工程技術(shù)人員在質(zhì)量改進(jìn)中的角色
1.5 A Case Study: Visually Inspecting Data to Improve Product Quality 13
1.5 案例分析：視覺(jué)檢查數(shù)據(jù)，改進(jìn)產(chǎn)品質(zhì)量
1.6 Two Basic ConceptsPopulation and Sample 15
1.6 兩個(gè)基本概念：總體與樣本
Review Exercises 20
復(fù)習(xí)題
Key Terms 21
重點(diǎn)術(shù)語(yǔ)

Chapter 2 Organization and Description of Data 22
第2章 數(shù)據(jù)的組織與描述
2.1 Pareto Diagrams and Dot Diagrams 22
2.1 帕累托圖和點(diǎn)圖
2.2 Frequency Distributions 24
2.2 頻數(shù)分布
2.3 Graphs of Frequency Distributions 27
2.3 頻數(shù)分布圖
2.4 Stem-and-Leaf Displays 31
2.4 莖葉圖
2.5 Descriptive Measures 34
2.5 描述統(tǒng)計(jì)
2.6 Quartiles and Percentiles 39
2.6 四分位數(shù)和百分位數(shù)
2.7 The Calculation of x and s 44
2.7 和s的計(jì)算
2.8 A Case Study: Problems with Aggregating Data 49
2.8 案例分析：聚合數(shù)據(jù)問(wèn)題
Review Exercises 52
復(fù)習(xí)題
Key Terms 54
重點(diǎn)術(shù)語(yǔ)

Chapter 3 Probability 56
第3章 概率
3.1 Sample Spaces and Events 56
3.1 樣本空間和事件
3.2 Counting 60
3.2 統(tǒng)計(jì)
3.3 Probability 67
3.3 概率
3.4 The Axioms of Probability 69
3.4 概率公理
3.5 Some Elementary Theorems 72
3.5 一些基本的定理
3.6 Conditional Probability 78
3.6 條件概率
3.7 Bayes Theorem 84
3.7 貝葉斯定理
Review Exercises 91
復(fù)習(xí)題
Key Terms 93
重點(diǎn)術(shù)語(yǔ)

Chapter 4 Probability Distributions 94
第4章 概率分布
4.1 Random Variables 94
4.1 隨機(jī)變量
4.2 The Binomial Distribution 98
4.2 二項(xiàng)分布
4.3 The Hypergeometric Distribution 103
4.3 超幾何分布
4.4 The Mean and the Variance of a Probability Distribution 107
4.4 概率分布的均值和方差
4.5 Chebyshevs Theorem 114
4.5 切比雪夫定理
4.6 The Poisson Distribution and Rare Events 118
4.6 泊松分布和稀有事件
4.7 Poisson Processes 122
4.7 泊松過(guò)程
4.8 The Geometric and Negative Binomial Distribution 124
4.8 幾何和負(fù)二項(xiàng)分布
4.9 The Multinomial Distribution 127
4.9 多項(xiàng)分布
4.10 Simulation 128
4.10 仿真
Review Exercises 132
復(fù)習(xí)題
Key Terms 133
重點(diǎn)術(shù)語(yǔ)

Chapter 5 Probability Densities 134
第5章 概率密度
5.1 Continuous Random Variables 134
5.1 連續(xù)隨機(jī)變量
5.2 The Normal Distribution 140
5.2 正態(tài)分布
5.3 The Normal Approximation to the Binomial Distribution 148
5.3 二項(xiàng)分布的正態(tài)近似
5.4 Other Probability Densities 151
5.4 其他概率密度
5.5 The Uniform Distribution 151
5.5 均勻分布
5.6 The Log-Normal Distribution 152
5.6 對(duì)數(shù)正態(tài)分布
5.7 The Gamma Distribution 155
5.7 伽馬分布
5.8 The Beta Distribution 157
5.8 貝塔分布
5.9 TheWeibull Distribution 158
5.9 威布爾分布
5.10 Joint DistributionsDiscrete and Continuous 161
5.10 聯(lián)合分布離散與連續(xù)
5.11 Moment Generating Functions 174
5.11 矩量母函數(shù)
5.12 Checking If the Data Are Normal 180
5.12 數(shù)據(jù)正態(tài)性檢驗(yàn)
5.13 Transforming Observations to Near Normality 182
5.13 觀測(cè)數(shù)據(jù)的近正態(tài)性轉(zhuǎn)換
5.14 Simulation 184
5.14 仿真
Review Exercises 188
復(fù)習(xí)題
Key Terms 190
重點(diǎn)術(shù)語(yǔ)

Chapter 6 Sampling Distributions 193
第6章 抽樣分布
6.1 Populations and Samples 193
6.1 總體和樣本
6.2 The Sampling Distribution of the Mean ( known) 197
6.2 均值（已知）的抽樣分布
6.3 The Sampling Distribution of the Mean ( unknown) 205
6.3 均值（未知）的抽樣分布
6.4 The Sampling Distribution of the Variance 207
6.4 方差的抽樣分布
6.5 Representations of the Normal Theory Distributions 210
6.5 正態(tài)理論分布的表示
6.6 The Moment Generating Function Method to Obtain Distributions 213
6.6 獲得分布的矩量母函數(shù)方法
6.7 Transformation Methods to Obtain Distributions 215
6.7 獲得分布的轉(zhuǎn)換方法
Review Exercises 221
復(fù)習(xí)題
Key Terms 222
重點(diǎn)術(shù)語(yǔ)
Chapter 7 Inferences Concerning a Mean 223

第7章 關(guān)于均值的推論
7.1 Statistical Approaches to Making Generalizations 223
7.1 歸納的統(tǒng)計(jì)方法
7.2 Point Estimation 224
7.2 點(diǎn)估計(jì)
7.3 Interval Estimation 229
7.3 區(qū)間估計(jì)
7.4 Maximum Likelihood Estimation 236
7.4 最大似然估計(jì)
7.5 Tests of Hypotheses 242
7.5 假設(shè)檢驗(yàn)
7.6 Null Hypotheses and Tests of Hypotheses 244
7.6 空假設(shè)和假設(shè)檢驗(yàn)
7.7 Hypotheses Concerning One Mean 249
7.7 關(guān)于一個(gè)均值的假設(shè)
7.8 The Relation between Tests and Confidence Intervals 256
7.8 檢驗(yàn)和置信區(qū)間的關(guān)系
7.9 Power, Sample Size, and Operating Characteristic Curves 257
7.9 效能、樣本大小和操作特性曲線
Review Exercises 263
復(fù)習(xí)題
Key Terms 265
重點(diǎn)術(shù)語(yǔ)

Chapter 8 Comparing Two Treatments 266
第8章 兩種處理的比較
8.1 Experimental Designs for Comparing Two Treatments 266
8.1 兩種處理的試驗(yàn)設(shè)計(jì)
8.2 ComparisonsTwo Independent Large Samples 267
8.2 兩個(gè)獨(dú)立大樣本的比較
8.3 ComparisonsTwo Independent Small Samples 272
8.3 兩個(gè)獨(dú)立小樣本的比較
8.4 Matched Pairs Comparisons 280
8.4 配對(duì)比較
8.5 Design IssuesRandomization and Pairing 285
8.5 設(shè)計(jì)問(wèn)題：隨機(jī)配對(duì)
Review Exercises 287
復(fù)習(xí)題
Key Terms 288
重點(diǎn)術(shù)語(yǔ)

Chapter 9 Inferences Concerning Variances 290
第9章 關(guān)于方差的推論
9.1 The Estimation of Variances 290
9.1 方差估計(jì)
9.2 Hypotheses Concerning One Variance 293
9.2 關(guān)于一個(gè)方差的假設(shè)
9.3 Hypotheses Concerning Two Variances 295
9.3 關(guān)于兩個(gè)方差的假設(shè)
Review Exercises 299
復(fù)習(xí)題
Key Terms 310
重點(diǎn)術(shù)語(yǔ)

Chapter 10 Inferences Concerning Proportions 301
第10章 關(guān)于比例的推論
10.1 Estimation of Proportions 301
10.1 比例估計(jì)
10.2 Hypotheses Concerning One Proportion 308
10.2 關(guān)于一個(gè)比例的假設(shè)
10.3 Hypotheses Concerning Several Proportions 310
10.3 關(guān)于幾個(gè)比例的假設(shè)
10.4 Analysis of r c Tables 318
10.4 r c個(gè)表的分析
10.5 Goodness of Fit 322
10.5 擬合度
Review Exercises 325
復(fù)習(xí)題
Key Terms 326
重點(diǎn)術(shù)語(yǔ)

Chapter 11 Regression Analysis 327
第11章 回歸分析
11.1 The Method of Least Squares 327
11.1 最小二乘法
11.2 Inferences Based on the Least Squares Estimators 336
11.2 基于最小二乘估計(jì)的推論
11.3 Curvilinear Regression 350
11.3 曲線回歸
11.4 Multiple Regression 356
11.4 多元回歸
11.5 Checking the Adequacy of the Model 361
11.5 模型充分性檢測(cè)
11.6 Correlation 366
11.6 相關(guān)
11.7 Multiple Linear Regression (Matrix Notation) 377
11.7 多元線性回歸（矩陣符號(hào)）
Review Exercises 382
復(fù)習(xí)題
Key Terms 385
重點(diǎn)術(shù)語(yǔ)

Chapter 12 Analysis of Variance 386
第12章 方差分析
12.1 Some General Principles 386
12.1 一些基本原理
12.2 Completely Randomized Designs 389
12.2 完全隨機(jī)的設(shè)計(jì)
12.3 Randomized-Block Designs 402
12.3 隨機(jī)區(qū)組設(shè)計(jì)
12.4 Multiple Comparisons 410
12.4 多重比較
12.5 Analysis of Covariance 415
12.5 協(xié)方差分析
Review Exercises 422
復(fù)習(xí)題
Key Terms 424
重點(diǎn)術(shù)語(yǔ)

Chapter 13 Factorial Experimentation 425
第13章 析因?qū)嶒?yàn)
13.1 Two-Factor Experiments 425
13.1 兩因素實(shí)驗(yàn)
13.2 Multifactor Experiments 432
13.2 多因素實(shí)驗(yàn)
13.3 The Graphic Presentation of 22 and 23 Experiments 441
13.3 22和23個(gè)實(shí)驗(yàn)的圖形表示
13.4 Response Surface Analysis 456
13.4 響應(yīng)面分析
Review Exercises 459
復(fù)習(xí)題
Key Terms 463
重點(diǎn)術(shù)語(yǔ)

Chapter 14 Nonparametric Tests 464
第14章 非參數(shù)檢驗(yàn)
14.1 Introduction 464
14.1 簡(jiǎn)介
14.2 The Sign Test 464
14.2 符號(hào)檢驗(yàn)
14.3 Rank-Sum Tests 466
14.3 秩和檢驗(yàn)
14.4 Correlation Based on Ranks 469
14.4 基于秩的相關(guān)
14.5 Tests of Randomness 472
14.5 隨機(jī)性檢驗(yàn)
14.6 The Kolmogorov-Smirnov and Anderson-Darling Tests 475
14.6 柯?tīng)柲�可洛�?斯米洛夫檢驗(yàn)和安德森-達(dá)林檢驗(yàn)
Review Exercises 478
復(fù)習(xí)題
Key Terms 4