實驗設計和分析(英)（簡體書）

Principles and Techniques、Design: Basic Principles and Techniques、The Art of Experimentation、Replication、Blocking、Randomization、Analysis: Basic Principles and Techniques、Planning Experiments、A Checklist for Planning Experiments、Real Experiment――Cotton-Spinning Experiment等等。本書旨在講述數據調查和統計分析中運用的重要方法，實驗設計和分析。書中詳細介紹了實驗設計過程以及正態分佈數據的分析方法，重點強調需要考慮有實際背景和具體目標的實驗設計和分析。為了保證數據的可靠性和真實性，書中幾乎所有的數據或來自實際數據、或統計專業的學生取得、或應用科學領域、或者科學文獻中已經公佈的。本書從實驗設計和分析的基本原理和技巧出發，繼而講述了一攬子的實驗設計、處理對比估計和方差分析。這些基本知識列舉了大量的應用。每章末都附有大量的學習統計軟件SAS的知識，然而書中的知識可以和任何統計軟件結合。目次：原理和技巧；策劃實驗；單變源設計；檢查模型假設；兩交叉處理因子實驗；多交叉處理因子；多項式回歸；協方差分析；完全分組設計；不完全分組設計；兩水平析因實驗；一般析因實驗的混合；部分因子試驗；響應面法；隨機效應和方差分量；嵌套模型；分割設計。
讀者對象：適用于數學專業的學生、教師以及和統計相關的人員。

Preface
1. Principles and Techniques
　1.1. Design: Basic Principles and Techniques
1.1.1. The Art of Experimentation
1.1.2. Replication
1.1.3. Blocking
1.1.4. Randomization
　1.2. Analysis: Basic Principles and Techniques
2. Planning Experiments
　2.1. Introduction
　2.2. A Checklist for Planning Experiments
　2.3. A Real Experiment——Cotton-Spinning Experiment
　2.4. Some Standard Experimental Designs
2.4.1. Completely Randomized Designs
2.4.2. Block Designs
2.4.3. Designs with Two or More Blocking Factors
2.4.4. Split-Plot Designs
　2.5. More Real Experiments
2.5.1. Soap Experiment
2.5.2. Battery Experiment
2.5.3. Cake-Baking Experiment
　Exercises
3. Designs with One Source of Variation
　3.1. Introduction
　3.2. Randomization
　3.3. Model for a Completely Randomized Design
　3.4. Estimation of Parameters
3.4.1. Estimable Functions of Parameters
3.4.2. Notation
3.4.3. Obtaining Least Squares Estimates
3.4.4. Properties of Least Squares Estimators
3.4.5. Estimation ofo2
3.4.6. Confidence Bound for ~r2
　3.5. One-Way Analysis of Variance
3.5.1. Testing Equality of Treatment Effects
3.5.2. Use of p-Values
　3.6. Sample Sizes
3.6.1. Expected Mean Squares for Treatments
3.6.2. Sample Sizes Using Power of a Test
　3.7. A Real Experiment——-Soap Experiment, Continued
3.7.1. Checklist, Continued
3.7.2. Data Collection and Analysis
3.7.3. Discussion by the Experimenter
3.7.4. Further Observations by the Experimenter
　3.8. Using SAS Software
3.8.1. Randomization
3.8.2. Analysis of Variance
Exercises
4. Inferences for Contrasts and Treatment Means
　4.1. Introduction
　4.2. Contrasts
4.2.1. Pairwise Comparisons
4.2.2. Treatment Versus Control
4.2.3. Difference of Averages
4.2.4. Trends
　4.3. Individual Contrasts and Treatment Means
4.3.1. Confidence Interval for a Single Contrast
4.3.2. Confidence Interval for a Single Treatment Mean
4.3.3. Hypothesis Test for a Single Contrast or Treatment Mean
　4.4. Methods of Multiple Comparisons
4.4.1. Multiple Confidence Intervals
4.4.2. Bonferroni Method for Preplanned Comparisons
4.4.3. Scheff6 Method of Multiple Comparisons
4.4.4. Tukey Method for All Pairwise Comparisons
4.4.5. Dunnett Method for Treatment-Versus-Control Comparisons
4.4.6. Hsu Method for Multiple Comparisons with the Best reatment
4.4.7. Combination of Methods
4.4.8. Methods Not Controlling Experimentwise Error Rate
　4.5. Sample Sizes
　4.6. Using SAS Software
4.6.1. Inferences on Individual Contrasts
4.6.2. Multiple Comparisons
　Exercises
5. Checking Model Assumptions
　5.1. Introduction
　5.2. Strategy for Checking Model Assumptions
5.2.1. Residuals
5.2.2. Residual Plots
　5.3. Checking the Fit of the Model
　5.4. Checking for Outliers
　5.5. Checking Independence of the Error Terms
　5.6. Checking the Equal Variance Assumption
5.6.1. Detection of Unequal Variances
5.6.2. Data Transformations to Equalize Variances
5.6.3. Analysis with Unequal Error Variances
　5.7. Checking the Normality Assumption
　5.8. Using SAS Software
5.8.1. Using SAS to Generate Residual Plots
5.8.2. Transforming the Data
　Exercises
6. Experiments with Two Crossed Treatment Factors
7. Several Crossed Treatment Factors
8. Polynomial Regression
9. Analysis of Covariance
10. Complete Block Designs
11. Incomplete Block Designs
12. Designs with Two Blocking Factors
13. Confounded Two-Level Factorial Experiments
14. Confounding in General Factorial Experiments
15. Fractional Factorial Experiments
16. esponse Surface Methodology
17. andom Effects and Variance Components
18. estde Models
19. plit-Plot Designs
A. ables
Bibliography
Index of Authors
Index of Experiments
Index of Subjects