Probability & statistics for engineers & scientists, global edition

Content: Preface1. Introduction to Statistics and Data Analysis1.1 Overview: Statistical Inference, Samples, Populations, and the Role of Probability1.2 Sampling Procedures
Collection of Data1.3 Measures of Location: The Sample Mean and Median Exercises1.4 Measures of Variability Exercises1.5 Discrete and Continuous Data1.6 Statistical Modeling, Scientific Inspection, and Graphical Methods 191.7 General Types of Statistical Studies: Designed Experiment,Observational Study, and Retrospective Study Exercises2. Probability2.1 Sample Space2.2 Events Exercises2.3 Counting Sample Points Exercises2.4 Probability of an Event2.5 Additive Rules Exercises2.6 Conditional Probability, Independence and Product Rules Exercises2.7 Bayes' Rule Exercises Review Exercises2.8 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters3. Random Variables and Probability Distributions3.1 Concept of a Random Variable3.2 Discrete Probability Distributions3.3 Continuous Probability Distributions Exercises3.4 Joint Probability Distributions Exercises Review Exercises3.5 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters4. Mathematical Expectation4.1 Mean of a Random Variable Exercises4.2 Variance and Covariance of Random Variables Exercises4.3 Means and Variances of Linear Combinations of Random Variables 1274.4 Chebyshev's Theorem Exercises Review Exercises4.5 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters5. Some Discrete Probability Distributions5.1 Introduction and Motivation5.2 Binomial and Multinomial Distributions Exercises5.3 Hypergeometric Distribution Exercises5.4 Negative Binomial and Geometric Distributions5.5 Poisson Distribution and the Poisson Process Exercises Review Exercises5.6 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters6. Some Continuous Probability Distributions6.1 Continuous Uniform Distribution6.2 Normal Distribution6.3 Areas under the Normal Curve6.4 Applications of the Normal Distribution Exercises6.5 Normal Approximation to the Binomial Exercises6.6 Gamma and Exponential Distributions6.7 Chi-Squared Distribution6.8 Beta Distribution6.9 Lognormal Distribution (Optional)6.10 Weibull Distribution (Optional) Exercises Review Exercises6.11 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters7. Functions of Random Variables (Optional)7.1 Introduction7.2 Transformations of Variables7.3 Moments and Moment-Generating Functions Exercises8. Sampling Distributions and More Graphical Tools8.1 Random Sampling and Sampling Distributions8.2 Some Important Statistics Exercises8.3 Sampling Distributions8.4 Sampling Distribution of Means and the Central Limit Theorem Exercises8.5 Sampling Distribution of S28.6 t-Distribution8.7 F-Distribution8.8 Quantile and Probability Plots Exercises Review Exercises8.9 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters9. One- and Two-Sample Estimation Problems9.1 Introduction9.2 Statistical Inference9.3 Classical Methods of Estimation9.4 Single Sample: Estimating the Mean9.5 Standard Error of a Point Estimate9.6 Prediction Intervals9.7 Tolerance Limits Exercises9.8 Two Samples: Estimating the Difference Between Two Means9.9 Paired Observations Exercises9.10 Single Sample: Estimating a Proportion9.11 Two Samples: Estimating the Difference between Two Proportions Exercises9.12 Single Sample: Estimating the Variance9.13 Two Samples: Estimating the Ratio of Two Variances Exercises9.14 Maximum Likelihood Estimation (Optional) Exercises Review Exercises9.15 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters10. One- and Two-Sample Tests of Hypotheses10.1 Statistical Hypotheses: General Concepts10.2 Testing a Statistical Hypothesis10.3 The Use of P-Values for Decision Making in Testing Hypotheses Exercises10.4 Single Sample: Tests Concerning a Single Mean10.5 Two Samples: Tests on Two Means10.6 Choice of Sample Size for Testing Means10.7 Graphical Methods for Comparing Means Exercises10.8 One Sample: Test on a Single Proportion10.9 Two Samples: Tests on Two Proportions Exercises10.10 One- and Two-Sample Tests Concerning Variances Exercises10.11 Goodness-of-Fit Test10.12 Test for Independence (Categorical Data)10.13 Test for Homogeneity10.14 Two-Sample Case Study Exercises Review Exercises10.15 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters11. Simple Linear Regression and Correlation11.1 Introduction to Linear Regression11.2 The Simple Linear Regression Model11.3 Least Squares and the Fitted Model Exercises11.4 Properties of the Least Squares Estimators11.5 Inferences Concerning the Regression Coefficients11.6 Prediction Exercises11.7 Choice of a Regression Model11.8 Analysis-of-Variance Approach11.9 Test for Linearity of Regression: Data with Repeated Observations 416 Exercises11.10 Data Plots and Transformations11.11 Simple Linear Regression Case Study11.12 Correlation Exercises Review Exercises11.13 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters12. Multiple Linear Regression and Certain Nonlinear Regression Models12.1 Introduction12.2 Estimating the Coefficients12.3 Linear Regression Model Using Matrices Exercises12.4 Properties of the Least Squares Estimators12.5 Inferences in Multiple Linear Regression Exercises12.6 Choice of a Fitted Model through Hypothesis Testing12.7 Special Case of Orthogonality (Optional) Exercises12.8 Categorical or Indicator Variables Exercises12.9 Sequential Methods for Model Selection12.10 Study of Residuals and Violation of Assumptions12.11 Cross Validation, Cp, and Other Criteria for Model Selection Exercises12.12 Special Nonlinear Models for Nonideal Conditions Exercises Review Exercises12.13 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters13. One-Factor Experiments: General13.1 Analysis-of-Variance Technique13.2 The Strategy of Experimental Design13.3 One-Way Analysis of Variance: Completely Randomized Design (One-Way ANOVA)13.4 Tests for the Equality of Several Variances Exercises13.5 Multiple Comparisons Exercises13.6 Comparing a Set of Treatments in Blocks13.7 Randomized Complete Block Designs13.8 Graphical Methods and Model Checking13.9 Data Transformations In Analysis of Variance) Exercises13.10 Random Effects Models13.11 Case Study Exercises Review Exercises13.12 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters14. Factorial Experiments (Two or More Factors)14.1 Introduction14.2 Interaction in the Two-Factor Experiment14.3 Two-Factor Analysis of Variance Exercises14.4 Three-Factor Experiments Exercises14.5 Factorial Experiments for Random Effects and Mixed Models Exercises Review Exercises14.6 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters15. 2k Factorial Experiments and Fractions15.1 Introduction15.2 The 2k Factorial: Calculation of Effects and Analysis of Variance 59815.3 Nonreplicated 2k Factorial Experiment Exercises15.4 Factorial Experiments in a Regression Setting15.5 The Orthogonal Design Exercises15.6 Fractional Factorial Experiments15.7 Analysis of Fractional Factorial Experiments Exercises15.8 Higher Fractions and Screening Designs15.9 Construction of Resolution III and IV Designs15.10 Other Two-Level Resolution III Designs
The Plackett-Burman Designs15.11 Introduction to Response Surface Methodology15.12 Robust Parameter Design Exercises Review Exercises15.13 Potential Misconceptions and Hazards
Relationship to Material in Other Chapters16. Nonparametric Statistics16.1 Nonparametric Tests16.2 Signed-Rank Test Exercises16.3 Wilcoxon Rank-Sum Test16.4 Kruskal-Wallis Test Exercises16.5 Runs Test16.6 Tolerance Limits16.7 Rank Correlation Coefficient Exercises Review Exercises17. Statistical Quality Control17.1 Introduction17.2 Nature of the Control Limits17.3 Purposes of the Control Chart17.4 Control Charts for Variables17.5 Control Charts for Attributes17.6 Cusum Control Charts Review Exercises18 Bayesian Statistics18.1 Bayesian Concepts18.2 Bayesian Inferences18.3 Bayes Estimates Using Decision Theory Framework ExercisesBibliographyA. Statistical Tables and ProofsB. Answers to Odd-Numbered Non-Review ExercisesIndex