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Probability & Statistics for Engineers & Scientists, 9th edition

Published by Pearson (April 22, 2021) © 2022

  • Ronald E. Walpole Roanoke College , Virginia Polytechnic Institute
  • Raymond H. Myers Virginia Polytechnic Institute
  • Sharon L. Myers
  • Keying E. Ye University of Texas at San Antonio , Virginia Polytechnic Institute & State University
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Probability and Statistics for Engineers and Scientists applies probability and statistics to engineering, science and computer science. It introduces basic probability theory and statistical inference, with a unique balance of theory and methodology, and helps you learn to use concepts to solve problems that occur in many real-life scientific and engineering situations. Interesting, relevant applications use real data from actual studies, showing how the concepts and methods can be used to solve problems in the fields of biomedical, bioengineering, business, computing, and more. The 9th Edition focuses on improved clarity and deeper understanding, and offers an embedded version of StatCrunch® that enables you to analyze data sets while reading.  It assumes 1 semester of differential and integral calculus as a prerequisite. 

1. Introduction to Statistics and Data Analysis

  • 1.1 Overview: Statistical Inference, Samples, Populations, and the Role of Probability
  • 1.2 Sampling Procedures; Collection of Data
  • 1.3 Measures of Location: The Sample Mean and Median
  • Exercises
  • 1.4 Measures of Variability
  • Exercises
  • 1.5 Discrete and Continuous Data
  • 1.6 Statistical Modeling, Scientific Inspection, and Graphical Methods 19
  • 1.7 General Types of Statistical Studies: Designed Experiment,
  • Observational Study, and Retrospective Study
  • Exercises

2. Probability

  • 2.1 Sample Space
  • 2.2 Events
  • Exercises
  • 2.3 Counting Sample Points
  • Exercises
  • 2.4 Probability of an Event
  • 2.5 Additive Rules
  • Exercises
  • 2.6 Conditional Probability, Independence and Product Rules
  • Exercises
  • 2.7 Bayes' Rule
  • Exercises
  • Review Exercises
  • 2.8 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

3. Random Variables and Probability Distributions

  • 3.1 Concept of a Random Variable
  • 3.2 Discrete Probability Distributions
  • 3.3 Continuous Probability Distributions
  • Exercises
  • 3.4 Joint Probability Distributions
  • Exercises
  • Review Exercises
  • 3.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

4. Mathematical Expectation

  • 4.1 Mean of a Random Variable
  • Exercises
  • 4.2 Variance and Covariance of Random Variables
  • Exercises
  • 4.3 Means and Variances of Linear Combinations of Random Variables
  • 4.4 Chebyshev's Theorem
  • Exercises
  • Review Exercises
  • 4.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

5. Some Discrete Probability Distributions

  • 5.1 Introduction and Motivation
  • 5.2 Binomial and Multinomial Distributions
  • Exercises
  • 5.3 Hypergeometric Distribution
  • Exercises
  • 5.4 Negative Binomial and Geometric Distributions
  • 5.5 Poisson Distribution and the Poisson Process
  • Exercises
  • Review Exercises
  • 5.6 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

6. Some Continuous Probability Distributions

  • 6.1 Continuous Uniform Distribution
  • 6.2 Normal Distribution
  • 6.3 Areas under the Normal Curve
  • 6.4 Applications of the Normal Distribution
  • Exercises
  • 6.5 Normal Approximation to the Binomial
  • Exercises
  • 6.6 Gamma and Exponential Distributions
  • 6.7 Chi-Squared Distribution
  • 6.8 Beta Distribution
  • 6.9 Lognormal Distribution (Optional)
  • 6.10 Weibull Distribution (Optional)
  • Exercises
  • Review Exercises
  • 6.11 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

7. Functions of Random Variables (Optional)

  • 7.1 Introduction
  • 7.2 Transformations of Variables
  • 7.3 Moments and Moment-Generating Functions
  • Exercises

8. Sampling Distributions and More Graphical Tools

  • 8.1 Random Sampling and Sampling Distributions
  • 8.2 Some Important Statistics
  • Exercises
  • 8.3 Sampling Distributions
  • 8.4 Sampling Distribution of Means and the Central Limit Theorem
  • Exercises
  • 8.5 Sampling Distribution of S2
  • 8.6 t-Distribution
  • 8.7 F-Distribution
  • 8.8 Quantile and Probability Plots
  • Exercises
  • Review Exercises
  • 8.9 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

9. One- and Two-Sample Estimation Problems

  • 9.1 Introduction
  • 9.2 Statistical Inference
  • 9.3 Classical Methods of Estimation
  • 9.4 Single Sample: Estimating the Mean
  • 9.5 Standard Error of a Point Estimate
  • 9.6 Prediction Intervals
  • 9.7 Tolerance Limits
  • Exercises
  • 9.8 Two Samples: Estimating the Difference Between Two Means
  • 9.9 Paired Observations
  • Exercises
  • 9.10 Single Sample: Estimating a Proportion
  • 9.11 Two Samples: Estimating the Difference between Two Proportions
  • Exercises
  • 9.12 Single Sample: Estimating the Variance
  • 9.13 Two Samples: Estimating the Ratio of Two Variances
  • Exercises
  • 9.14 Maximum Likelihood Estimation (Optional)
  • Exercises
  • Review Exercises
  • 9.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

10. One- and Two-Sample Tests of Hypotheses

  • 10.1 Statistical Hypotheses: General Concepts
  • 10.2 Testing a Statistical Hypothesis
  • 10.3 The Use of P-Values for Decision Making in Testing Hypotheses
  • Exercises
  • 10.4 Single Sample: Tests Concerning a Single Mean
  • 10.5 Two Samples: Tests on Two Means
  • 10.6 Choice of Sample Size for Testing Means
  • 10.7 Graphical Methods for Comparing Means
  • Exercises
  • 10.8 One Sample: Test on a Single Proportion
  • 10.9 Two Samples: Tests on Two Proportions
  • Exercises
  • 10.10 One- and Two-Sample Tests Concerning Variances
  • 10.11 Goodness-of-Fit Test
  • 10.12 Test for Independence (Categorical Data)
  • 10.13 Test for Homogeneity
  • 10.14 Two-Sample Case Study Exercises Review Exercises
  • 10.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

11. Simple Linear Regression and Correlation

  • 11.1 Introduction to Linear Regression
  • 11.2 The Simple Linear Regression Model
  • 11.3 Least Squares and the Fitted Model
  • Exercises
  • 11.4 Properties of the Least Squares Estimators
  • 11.5 Inferences Concerning the Regression Coefficients
  • 11.6 Prediction
  • Exercises
  • 11.7 Choice of a Regression Model
  • 11.8 Analysis-of-Variance Approach
  • 11.9 Test for Linearity of Regression: Data with Repeated Observations 416
  • Exercises
  • 11.10 Data Plots and Transformations
  • 11.11 Simple Linear Regression Case Study
  • 11.12 Correlation
  • Exercises
  • Review Exercises
  • 11.13 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

12. Multiple Linear Regression and Certain Nonlinear Regression Models

  • 12.1 Introduction
  • 12.2 Estimating the Coefficients
  • 12.3 Linear Regression Model Using Matrices
  • Exercises
  • 12.4 Properties of the Least Squares Estimators
  • 12.5 Inferences in Multiple Linear Regression
  • Exercises
  • 12.6 Choice of a Fitted Model through Hypothesis Testing
  • 12.7 Special Case of Orthogonality (Optional)
  • Exercises
  • 12.8 Categorical or Indicator Variables
  • Exercises
  • 12.9 Sequential Methods for Model Selection
  • 12.10 Study of Residuals and Violation of Assumptions
  • 12.11 Cross Validation, Cp, and Other Criteria for Model Selection
  • Exercises
  • 12.12 Special Nonlinear Models for Nonideal Conditions
  • Exercises
  • Review Exercises
  • 12.13 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

13. One-Factor Experiments: General

  • 13.1 Analysis-of-Variance Technique
  • 13.2 The Strategy of Experimental Design
  • 13.3 One-Way Analysis of Variance: Completely Randomized Design (One-Way ANOVA)
  • 13.4 Tests for the Equality of Several Variances
  • Exercises
  • 13.5 Multiple Comparisons
  • Exercises
  • 13.6 Comparing a Set of Treatments in Blocks
  • 13.7 Randomized Complete Block Designs
  • 13.8 Graphical Methods and Model Checking
  • 13.9 Data Transformations In Analysis of Variance)
  • Exercises
  • 13.10 Random Effects Models
  • 13.11 Case Study
  • Exercises
  • Review Exercises
  • 13.12 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

14. Factorial Experiments (Two or More Factors)

  • 14.1 Introduction
  • 14.2 Interaction in the Two-Factor Experiment
  • 14.3 Two-Factor Analysis of Variance
  • Exercises
  • 14.4 Three-Factor Experiments
  • Exercises
  • 14.5 Factorial Experiments for Random Effects and Mixed Models
  • Exercises
  • Review Exercises
  • 14.6 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

15. 2k Factorial Experiments and Fractions

  • 15.1 Introduction
  • 15.2 The 2k Factorial: Calculation of Effects and Analysis of Variance
  • 15.3 Nonreplicated 2k Factorial Experiment
  • Exercises
  • 15.4 Factorial Experiments in a Regression Setting
  • 15.5 The Orthogonal Design
  • Exercises
  • 15.6 Fractional Factorial Experiments
  • 15.7 Analysis of Fractional Factorial Experiments
  • Exercises
  • 15.8 Higher Fractions and Screening Designs
  • 15.9 Construction of Resolution III and IV Designs
  • 15.10 Other Two-Level Resolution III Designs; The Plackett-Burman Designs
  • 15.11 Introduction to Response Surface Methodology
  • 15.12 Robust Parameter Design
  • Exercises
  • Review Exercises
  • 15.13 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

16. Nonparametric Statistics

  • 16.1 Nonparametric Tests
  • 16.2 Signed-Rank Test
  • Exercises
  • 16.3 Wilcoxon Rank-Sum Test
  • 16.4 Kruskal-Wallis Test
  • Exercises
  • 16.5 Runs Test
  • 16.6 Tolerance Limits
  • 16.7 Rank Correlation Coefficient
  • Exercises
  • Review Exercises

17. Statistical Quality Control

  • 17.1 Introduction
  • 17.2 Nature of the Control Limits
  • 17.3 Purposes of the Control Chart
  • 17.4 Control Charts for Variables
  • 17.5 Control Charts for Attributes
  • 17.6 Cusum Control Charts
  • Review Exercises

18. Bayesian Statistics

  • 18.1 Bayesian Concepts
  • 18.2 Bayesian Inferences
  • 18.3 Bayes Estimates Using Decision Theory Framework
  • Exercises
  • Bibliography

A. Statistical Tables and Proofs

B. Answers to Odd-Numbered Non-Review Exercises

Index

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