本书是为理工科本科生、研究生学习而编写的有关统计推理的理论、思想、方法的教材。内容包括了理工科概率论的入门，又包括了经典统计和现代统计的基础部分。 本书具有以下特点：①目的性明确，其概率部分是完全为统计而设置的，因此比国内的一般教材要少，要求的数学基础较低，只要具备初等微积分的知识即可通览全书；②通过正文与习题旁征博引，引进了一些近代统计处理的新的技术；③配有大量的例子与丰富的练习题；④书中统计部分与国内的一般教材相比，理论上要深一些，论述的模型更多，案例的涉及面更广，实用面更丰富，统计思想的阐述与算法更具体些。

出版说明
序
1 Overview and Descriptive Statistics
Introduction
1.1 Populations, Samples, and Processes
1.2 Pictorial and Tabular Methods in Descriptive Statistics
1.3 Measures of Location
1.4 Measures of Variability
Supplementary Exercises
Bibliography
2 Probability
Introduction
2.1 Sample Spaces and Events
2.2 Axioms, Interpretations, and Properties of Probability
2.3 Counting Techniques
2.4 Conditional Probability
2.5 Independence
Supplementary Exercises
Bibliography
3 Discrete Random Variables
and Probability Distributions
Introduction
3.1 Random Variables
3.2 Probability Distributions for Discrete Random Variables
3.3 Expected Values of Discrete Random Variables
3.4 The Binomial Probability Distribution
3.5 Hypergeometric and Negative Binomial Distributions
3.6 The Poisson Probability Distribution
Supplementary Exercises
Bibliography
4 Continuous Random Variables and Probability Distributions
Introduction
4.1 Continuous Random Variables and Probability Density Functions
4.2 Cumulative Distribution Functions and Expected Values
4.3 The Normal Distribution
4.4 The Gamma Distribution and Its Relatives
4.5 Other Continuous Distributions
4.6 Probability Plots
Supplementary Exercises
Bibliography
5 Joint Probability Distributions and Random Samples
Introduction
5.1 Jointly Distributed Random Variables
5.2 Expected Values, Covariance, and Correlation
5.3 Statistics and Their Distributions
5.4 The Distribution of the Sample Mean
5.5 The Distribution of a Linear Combination
Supplementary Exercises
Bibliography
6 Point Estimation
Introduction
6.1 Some General Concepts of Point Estimation
6.2 Methods of Point Estimation
Supplementary Exercises
Bibliography
7 Statistical Intervals Based on a Single Sample
Introduction
7.1 Basic Properties of Confidence Intervals
7.2 Large-Sample Confidence Intervals for a Population Mean and Proportion
7.3 Intervals Based on a Normal Population Distribution
7.4 Confidence Intervals for the Variance and Standard Deviation of a
Normal Population
Supplementary Exercises
Bibliography
8 Tests of Hypotheses Based on a Single Sample
Introduction
8.1 Hypotheses and Test Procedures
8.2 Tests About a Population Mean
8.3 Tests Concerninq a Population Proportion
8.4 P-Values
8.5 Some Comments on Selecting a Test Procedure
Supplementary Exercises
Bibliography
9 Inferences Based on Two Samples
Introduction
9.1 z Tests and Confidence Intervals for a Difference Between Two Population Means
9.2 The Two-Sample t Test and Confidence Interval
9.3 Analysis of Paired Data
9.4 Inferences Concerning a Difference Between Population Proportions
9.5 Inferences Concerning Two Population Variances
Supplementary Exercises
Bibliography
10 The Analysis of Variance
Introduction
10.1 Single-Factor ANOVA
10.2 Multiple Comparisons in ANOVA
10.3 More on Single-Factor ANOVA
Supplementary Exercises
Bibliography
11 Multifactor Analysis of Variance
Introduction
11.1 Two-Factor ANOVA with Kij=1
11.2 Two-Factor ANOVA with Kij>1
11.3 Three-Factor ANOVA
11.4 2p Factorial Experiments
Supplementary Exercises
Bibliography
12 Simple Linear Regression and Correlation
Introduction
12.1 The Simple Linear Regression Model
12.2 Estimating Model Parameters
12.3 Inferences About the Slope Parameter/3,
12.4 Inferences Concerning μY·x* and the Prediction of Future Y Values
12.5 Correlation
Supplementary Exercises
Bibliography
13 Nonlinear and Multiple Regression
Introduction
13.1 Aptness of the Model and Model Checking
13.2 Regression with Transformed Variables
13.3 Polynomial Regression
13.4 Multiple Regression Analysis
13.5 Other Issues in Multiple Regression
Supplementary Exercises
Bibliography
14 Goodness-of-Fit Tests and Categorical Data Analysis
Introduction
14.1 Goodness-of-Fit Tests When Category Probabilitie Are Completely Specified
14.2 Goodness-of-Fit Tests for Composite Hypothese
14.3 Two-Way Contingency Tables
Supplementary Exercises
Bibliography
Appendix Tables
A.1 Cumulative Binomial Probabilities
A.2 Cumulative Poisson Probabilities
A.3 Standard Normal Curve Areas
A.4 The Incomplete Gamma Function
A.5 Critical Values for t Distributions
A.6 Tolerance Critical Values for Normal Populations
A.7 Critical Values for Chi-Squared Distributions
A.8 t Curve Tail Areas
A.9 Critical Values for F Distributions
A.10 Critical Values for Studentized Range Distributions
A.1 1 Chi-Squared Curve Tail Areas
A.12 Critical Values for the Ryan-Joiner Test of Normality
A.13 Critical Values for the Wilcoxon Signed-Rank Test
A.14 Critical Values for the Wilcoxon Rank-Sum Test
A.15 Critical Values for the Wilcoxon Signed-Rank Interval
A. 16 Critical Values for the Wilcoxon Rank-Sum Interval
A. 17 β Curves for t Tests
Answers to Odd-Numbered Exercises
Index
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