小弟因为没钱，所以……Probability and Statistics for Engineers and Scientists, Eighth Edition 作者：~ Ronald E. Walpole , Raymond H. Myers出版社：Prentice Hall; 8 edition (March 5, 2006) Preface xv1 Introduction to Statistics and Data Analysis 11.1 Overview: Statistical Inference, Samples, Populations and ExperimentalDesign 11.2 The Hole of Probability 41.3 Sampling Procedures; Collection of Data 71.4 Measures of Location: The Sample Mean and Median 111.5 Measures of Variability 1 •!1.0 Discrete and Continuous Data 171.7 Statistical Modeling, Scientific Inspection, and Graphical Diagnostics1 .8 Graphical Methods and Data Description 201.9 General Types of Statistical Studies: Designed Experiment,Observational Study, and Retrospective Study 252 Probability 312.1 Sample Space 312.2 Events 342.3 Counting Sample Points 402.4 Probability of an Event 482.5 Additive Rules 522.6 Conditional Probability 582.7 Multiplicative Rules 612.8 Bayes' Rule 683 Random Variables and ProbabilityDistributions 773.1 Concept of a Random Variable 773.2 Discrete Probability Distributions 803.3 Continuous Probability Distributions 843.4 Joint Probability Distributions 913.5 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 1064 Mathematical Expectation 1074.1 Mean of a Random Variable 1074.2 Variance and Covariance of Random Variables 1154.3 Means and Variances of Linear Combinations of Random Variables 1234.4 Chebyshov's Theorem 1314.5 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 1385 Some Discrete Probability Distributions 1415.1 Introduction and Motivation 1415.2 Discrete Uniform Distribution 1415.3 Binomial and Multinomial Distributions 1435.4 Hypergeometric Distribution 1525.5 Negative Binomial and Geometric Distributions 1585.6 Poisson Distribution and the Poisson Process 1615.7 Potential Misconceptions and Hazards: Relationship to Materialin Other Chapters 1696 Some Continuous Probability Distributions 1716.1 Continuous Uniform Distribution 1716.2 Normal Distribution 1726.3 Areas under the Normal Curve 1766.4 Applications of the Normal Distribution 1826.5 Normal Approximation to the Binomial 1876.6 Gamma and Exponential Distributions 1946.7 Applications of the Exponential and Gamma Distributions 1976.8 Chi-Squared Distribution 2006.9 Lognormal Distribution 2016.10 VVeibull Distribution (Optional) 2026.1 1 Potential Misconceptions and Hazards: Relationship to Materialin Other Chapters 2097 Functions of Random Variables (Optional).. 2117.1 Introduction 2117.2 Transformations of Variables 2117.3 Moments and Moment-Generating Functions 2198 Fundamental Sampling Distributions andData Descriptions 2298.1 Random Sampling 2298.2 Some Important Statistics 2318.3 Data Displays and Graphical Methods 2368.4 Sampling Distributions 2438.5 Sampling Distribution of Means 2448.6 Sampling Distribution of S 2518.7 ^-Distribution 2578.8 F-Distribution 2618.9 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 2689 One- and Two-Sample Estimation Problems 2699.1 Introduction 2699.2 Statistical Inference 2699.3 Classical Methods of Estimation 2709.4 Single Sample: Estimating the Mean 2749.5 Standard Error of a Point Estimate 2809.6 Prediction Intervals 2819.7 Tolerance Limits 2839.8 Two Samples: Estimating the Difference between Two Means . . . 2889.9 Paired Observations 2949.10 Single Sample: Estimating a Proportion 2999.11 Two Samples: Estimating the Difference between Two Proportions 3029.12 Single Sample: Estimating the Variance 3069.13 Two Samples: Estimating the Ratio of Two Variances 3089.14 Maximum Likelihood Estimation (Optional) 3109.15 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 31910 One- and Two-Sample Tests of Hypotheses 32110.1 Statistical Hypotheses: General Concepts 32110.2 Testing a Statistical Hypothesis 32310.3 One- and Two-Tailed Tests 33210.4 The Use of P-Values for Decision Making in Testing Hypotheses. 33410.5 Single Sample: Tests Concerning a Single Mean (Variance Known) 33810.6 Relationship to Confidence Interval Estimation 34110.7 Single Sample: Tests on a Single Mean (Variance Unknown) 34210.8 Two Samples: Tests on Two Means 34510.9 Choice of Sample Size for Testing Means 35010.10 Graphical Methods for Comparing Means 35510.11 One Sample: Test on a Single Proportion 36110.12 Two Samples: Tests on Two Proportions 36410.13 One- and Two-Sample Tests Concerning Variances 36710.14 Goodness-of-Fit Test 37110.15 Test for Independence (Categorical Data) 37410.16 Test for Homogeneity 37710.17 Testing for Several Proportions 37810.18 Two-Sample Case Study 38010.19 Potential Misconceptions and Hazards; Relationship to Material11 Simple Linear Regression and Correlation.. 38911.1 Introduction to Linear Regression 38911.2 The Simple Linear Regression Model 39011.3 Least Squares and the Fitted Model 39411.4 Properties of the Least Squares Estimators 40011.5 Inferences Concerning the Regression Coefficients 40211.6 Prediction 40911.7 Choice of a Regression Model 41411.8 Analysis-of-Variance Approach 41511.9 Test for Linearity of Regression: Data with Repeated Observations 41711.10 Data Plots and Transformations 42511.11 Simple Linear Regression Case Study 43011.12 Correlation 43211.13 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 44312 Multiple Linear Regression and CertainNonlinear Regression Models 44512.1 Introduction 44512.2 Estimating the Coefficients 44612.3 Linear Regression Model Using Matrices (Optional) 44912.4 Properties of the Least Squares Estimators 45612.5 Inferences in Multiple Linear Regression 45812.6 Choice of a Fitted Model through Hypothesis Testing 46512.7 Special Case of Orthogonality (Optional) 46912.8 Categorical or Indicator Variables 47412.9 Sequential Methods for Model Selection 47912.10 Study of Residuals and Violation of Assumptions 48512.11 Cross Validation, C;), and Other Criteria for Model Selection 49012.12 Special Nonlinear Models for Nonideal Conditions 49912.13 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 50813 One-Factor Experiments: General 51113.1 Analysis-of-Variance Technique 51113.2 The Strategy of Experimental Design 51213.3 One-Way Analysis of Variance: Completely Randomized Design(One-Way ANOVA) 51313.4 Tests for the Equality of Several Variances 51813.5 Single-Dcgree-of-Freedom Comparisons 52313.6 Multiple Comparisons 52713.7 Comparing Treatments with a Control 53113.8 Comparing a Set of Treatments in Blocks 53513.9 Randomized Complete Block Designs 53713.10 Graphical Methods and Model Checking 54413.11 Data Transformations In Analysis of Variance) 54713.12 Latin Squares (Optional) 54913.13 Random Effects Models 55513.14 Power of Analysis-of-Variance Tests 55913.15 Case Study 56313.16 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 57114 Factorial Experiments (Two or More14.1 Introduction 57314.2 Interaction in the Two-Factor Experiment 57414.3 Two-Factor Analysis of Variance 577Exercises 58714.4 Three-Factor Experiments 590Exercises 59714.5 Model II and III Factorial Experiments 60014.6 Choice of Sample Size 603Exercises 605Review Exercises 60714.7 Potential Misconceptions and Hazards; Relationship to Materialin Other Chapters 60915 2k Factorial Experiments and Fractions 61115.1 Introduction 61115.2 The 2fc Factorial: Calculation of Effects and Analysis of Variance 61215.3 Nonreplicated 2k Factorial Experiment 61815.4 Injection Molding Case Study 619Exercises 62215.5 Factorial Experiments in a Regression Setting 62515.6 The Orthogonal Design 63115.7 Factorial Experiments in Incomplete Blocks 639Exercises 64515.8 Fractional Factorial Experiments 64715.9 Analysis of Fractional Factorial Experiments 653Exercises 65615.10 Higher Fractions and Screening Designs 65715.11 Construction of Resolution III and IV Designs 65815.12 Other Two-Level Resolution III Designs; The Plackett-BurmanDesigns 66015.13 Robust Parameter Design 661Review Exercises 66715.14 Potential Misconceptions and Hazards: Relationship to Materialin Other Chapters 66916 Nonparametric Statistics 67116.1 Nonparametric Tests 67116.2 Signed-Rank Test 67616.3 Wilcoxon Rank-Sum Test 68116.4 Kruskal-Wallis Test 6841G.5 Runs Test. 68716.6 Tolerance Limits 69016.7 Rank Correlation Coefficient 69017 Statistical Quality Control 69717.1 Introduction 69717.2 Nature of the Control Limits 69917.3 Purposes of the Control Chart 69917.4 Control Charts for Variables 70017.5 Control Charts for Attributes 71317.6 Cusum Control Charts 72118 Bayesian Statistics (Optional) 72518.1 Bayesian Concepts 72518.2 Bayesian Inferences 72618.3 Bayes Estimates Using Decision Theory Framework 732
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