前辅文
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 Concerning 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 b1
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 The Analysis of Categorical Data
Introduction
14.1 Goodness-of-Fit Tests When Category Probabilities Are Completely Specified
14.2 Goodness of Fit for Composite Hypotheses
14.3 Two-Way Contingency Tables
Supplementary Exercises
Bibliography
15 Distribution-Free Procedures
Introduction
15.1 The Wilcoxon Signed-Rank Test
15.2 The Wilcoxon Rank-Sum Test
15.3 Distribution-Free Confidence Intervals
15.4 Distribution-Free ANOVA
Supplementary Exercises
Bibliography
16 Quality Control Methods
Introduction
16.1 General Comments on Control Charts
16.2 Control Charts for Process Location
16.3 Control Charts for Process Variation
16.4 Control Charts for Attributes
16.5 CUSUM Procedures
16.6 Acceptance Sampling
Supplementary Exercises
Bibliography
Appendix Tables
Table A.1 Cumulative Binomial Probabilities
Table A.2 Cumulative Poisson Probabilities
Table A.3 Standard Normal Curve Areas
Table A.4 The Incomplete Gamma Function
Table A.5 Critical values for t Distributions
Table A.6 Tolerance Critical Values for Normal Population Distributions
Table A.7 Critical Values for Chi-Squared Distributions
Table A.8 t Curve Tail Areas
Table A.9 Critical Values for F Distributions
Table A.10 Critical Values for Studentized Range Distributions
Table A.11 Chi-Squared Curve Tail Areas
Table A.12 Critical Values for the Ryan–Joiner Test of Normality
Table A.13 Critical Values for the Wilcoxon Signed-Rank Test
Table A.14 Critical Values for the Wilcoxon Rank-Sum Test
Table A.15 Critical Values for the Wilcoxon Signed-Rank Interval
Table A.16 Critical Values for the Wilcoxon Rank-Sum Interval
Table A.17 β Curves for t Tests
Answers to Odd-Numbered Exercises
Index
