Efnisyfirlit

• Title Page
• Copyright Page
• Contents
• Preface
• Chapter 1 Introduction
  • 1.1 Why Study Statistics?
  • 1.2 Modern Statistics
  • 1.3 Statistics and Engineering
  • 1.4 The Role of the Scientist and Engineer in Quality Improvement
  • 1.5 A Case Study: Visually Inspecting Data to Improve Product Quality
  • 1.6 Two Basic Concepts—Population and Sample
  • Review Exercises
  • Key Terms
• Chapter 2 Organization and Description of Data
  • 2.1 Pareto Diagrams and Dot Diagrams
  • 2.2 Frequency Distributions
  • 2.3 Graphs of Frequency Distributions
  • 2.4 Stem-and-Leaf Displays
  • 2.5 Descriptive Measures
  • 2.6 Quartiles and Percentiles
  • 2.7 The Calculation of x and s
  • 2.8 A Case Study: Problems with Aggregating Data
  • Review Exercises
  • Key Terms
• Chapter 3 Probability
  • 3.1 Sample Spaces and Events
  • 3.2 Counting
  • 3.3 Probability
  • 3.4 The Axioms of Probability
  • 3.5 Some Elementary Theorems
  • 3.6 Conditional Probability
  • 3.7 Bayes’ Theorem
  • Review Exercises
  • Key Terms
• Chapter 4 Probability Distributions
  • 4.1 Random Variables
  • 4.2 The Binomial Distribution
  • 4.3 The Hypergeometric Distribution
  • 4.4 The Mean and the Variance of a Probability Distribution
  • 4.5 Chebyshev’s Theorem
  • 4.6 The Poisson Distribution and Rare Events
  • 4.7 Poisson Processes
  • 4.8 The Geometric and Negative Binomial Distribution
  • 4.9 The Multinomial Distribution
  • 4.10 Simulation
  • Review Exercises
  • Key Terms
• Chapter 5 Probability Densities
  • 5.1 Continuous Random Variables
  • 5.2 The Normal Distribution
  • 5.3 The Normal Approximation to the Binomial Distribution
  • 5.4 Other Probability Densities
  • 5.5 The Uniform Distribution
  • 5.6 The Log-Normal Distribution
  • 5.7 The Gamma Distribution
  • 5.8 The Beta Distribution
  • 5.9 TheWeibull Distribution
  • 5.10 Joint Distributions—Discrete and Continuous
  • 5.11 Moment Generating Functions
  • 5.12 Checking If the Data Are Normal
  • 5.13 Transforming Observations to Near Normality
  • 5.14 Simulation
  • Review Exercises
  • Key Terms
• Chapter 6 Sampling Distributions
  • 6.1 Populations and Samples
  • 6.2 The Sampling Distribution of the Mean (σ known)
  • 6.3 The Sampling Distribution of the Mean (σ unknown)
  • 6.4 The Sampling Distribution of the Variance
  • 6.5 Representations of the Normal Theory Distributions
  • 6.6 The Moment Generating Function Method to Obtain Distributions
  • 6.7 Transformation Methods to Obtain Distributions
  • Review Exercises
  • Key Terms
• Chapter 7 Inferences Concerning a Mean
  • 7.1 Statistical Approaches to Making Generalizations
  • 7.2 Point Estimation
  • 7.3 Interval Estimation
  • 7.4 Maximum Likelihood Estimation
  • 7.5 Tests of Hypotheses
  • 7.6 Null Hypotheses and Tests of Hypotheses
  • 7.7 Hypotheses Concerning One Mean
  • 7.8 The Relation between Tests and Confidence Intervals
  • 7.9 Power, Sample Size, and Operating Characteristic Curves
  • Review Exercises
  • Key Terms
• Chapter 8 Comparing Two Treatments
  • 8.1 Experimental Designs for Comparing Two Treatments
  • 8.2 Comparisons—Two Independent Large Samples
  • 8.3 Comparisons—Two Independent Small Samples
  • 8.4 Matched Pairs Comparisons
  • 8.5 Design Issues—Randomization and Pairing
  • Review Exercises
  • Key Terms
• Chapter 9 Inferences Concerning Variances
  • 9.1 The Estimation of Variances
  • 9.2 Hypotheses Concerning One Variance
  • 9.3 Hypotheses Concerning Two Variances
  • Review Exercises
  • Key Terms
• Chapter 10 Inferences Concerning Proportions
  • 10.1 Estimation of Proportions
  • 10.2 Hypotheses Concerning One Proportion
  • 10.3 Hypotheses Concerning Several Proportions
  • 10.4 Analysis of r x c Tables
  • 10.5 Goodness of Fit
  • Review Exercises
  • Key Terms
• Chapter 11 Regression Analysis
  • 11.1 The Method of Least Squares
  • 11.2 Inferences Based on the Least Squares Estimators
  • 11.3 Curvilinear Regression
  • 11.4 Multiple Regression
  • 11.5 Checking the Adequacy of the Model
  • 11.6 Correlation
  • 11.7 Multiple Linear Regression (Matrix Notation)
  • Review Exercises
  • Key Terms
• Chapter 12 Analysis of Variance
  • 12.1 Some General Principles
  • 12.2 Completely Randomized Designs
  • 12.3 Randomized-Block Designs
  • 12.4 Multiple Comparisons
  • 12.5 Analysis of Covariance
  • Review Exercises
  • Key Terms
• Chapter 13 Factorial Experimentation
  • 13.1 Two-Factor Experiments
  • 13.2 Multifactor Experiments
  • 13.3 The Graphic Presentation of 22 and 23 Experiments
  • 13.4 Response Surface Analysis
  • Review Exercises
  • Key Terms
• Chapter 14 Nonparametric Tests
  • 14.1 Introduction
  • 14.2 The Sign Test
  • 14.3 Rank-Sum Tests
  • 14.4 Correlation Based on Ranks
  • 14.5 Tests of Randomness
  • 14.6 The Kolmogorov-Smirnov and Anderson-Darling Tests
  • Review Exercises
  • Key Terms
• Chapter 15 The Statistical Content of Quality-Improvement Programs
  • 15.1 Quality-Improvement Programs
  • 15.2 Starting a Quality-Improvement Program
  • 15.3 Experimental Designs for Quality
  • 15.4 Quality Control
  • 15.5 Control Charts for Measurements
  • 15.6 Control Charts for Attributes
  • 15.7 Tolerance Limits
  • Review Exercises
  • Key Terms
• Chapter 16 Application to Reliability and Life Testing
  • 16.1 Reliability
  • 16.2 Failure-Time Distribution
  • 16.3 The Exponential Model in Life Testing
  • 16.4 The Weibull Model in Life Testing
  • Review Exercises
  • Key Terms
• Appendix A Bibliography
• Appendix B Statistical Tables
• Appendix C Using the R Software Program
  • Introduction to R
  • Entering Data
  • Arithmetic Operations
  • Descriptive Statistics
  • Probability Distributions
  • Normal Probability Calculations
  • Sampling Distributions
  • Confidence Intervals and Tests of Means
  • Inference about Proportions
  • Regression
  • One-Way Analysis of Variance (ANOVA)
• Appendix D Answers to Odd-Numbered Exercises
• Index
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • K
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • U
  • V
  • W
  • X
  • Z

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