Engineering Statistics, SI Version - Douglas C. Montgomery

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Résumé :
Montgomery, Runger, and Hubele provide modern coverage of engineering statistics, focusing on how statistical tools are integrated into the engineering problem-solving process. All major aspects of engineering statistics are covered, including descriptive statistics, probability and probability distributions, statistical test and confidence intervals for one and two samples, building regression models, designing and analyzing engineering experiments, and statistical process control. Developed with sponsorship from the National Science Foundation, this revision incorporates many insights from the authors' teaching experience along with feedback from numerous adopters of previous editions....

Biographie:

Chapter 1 The Role of Statistics in Engineering 1

1-1 The Engineering Method and Statistical Thinking 2

1-2 Collecting Engineering Data 6

1-2.1 Retrospective Study 7

1-2.2 Observational Study 8

1-2.3 Designed Experiments 9

1-2.4 Random Samples 12

1-3 Mechanistic and Empirical Models 15

1-4 Observing Processes Over Time 17

Chapter 2 Data Summary and Presentation 23

2-1 Data Summary and Display 24

2-2 Stem-and-Leaf Diagram 29

2-3 Histograms 34

2-4 Box Plot 39

2-5 Time Series Plots 41

2-6 Multivariate Data 46

Chapter 3 Random Variables and Probability Distributions 57

3-1 Introduction 58

3-2 Random Variables 60

3-3 Probability 62

3-4 Continuous Random Variables 66

3-4.1 Probability Density Function 66

3-4.2 Cumulative Distribution Function 68

3-4.3 Mean and Variance 70

3-5 Important Continuous Distributions 74

3-5.1 Normal Distribution 74

3-5.2 Lognormal Distribution 84

3-5.3 Gamma Distribution 86

3-5.4 Weibull Distribution 86

3-5.5 Beta Distribution 88

3-6 Probability Plots 92

3-6.1 Normal Probability Plots 92

3-6.2 Other Probability Plots 94

3-7 Discrete Random Variables 97

3-7.1 Probability Mass Function 97

3-7.2 Cumulative Distribution Function 98

3-7.3 Mean and Variance 99

3-8 Binomial Distribution 102

3-9 Poisson Process 109

3-9.1 Poisson Distribution 109

3-9.2 Exponential Distribution 113

3-10 Normal Approximation to the Binomial and Poisson Distributions 119

3-11 More than One Random Variable and Independence 123

3-11.1 Joint Distributions 123

3-11.2 Independence 124

3-12 Functions of Random Variables 129

3-12.1 Linear Functions of Independent Random Variables 130

3-12.2 Linear Functions of Random Variables That are Not Independent 131

3-12.3 Nonlinear Functions of Independent Random Variables 133

3-13 Random Samples, Statistics, and the Central Limit Theorem 136

Chapter 4 Decision Making for a Single Sample 148

4-1 Statistical Inference 149

4-2 Point Estimation 150

4-3 Hypothesis Testing 156

4-3.1 Statistical Hypotheses 156

4-3.2 Testing Statistical Hypotheses 158

4-3.3 P-Values in Hypothesis Testing 164

4-3.4 One-Sided and Two-Sided Hypotheses 166

4-3.5 General Procedure for Hypothesis Testing 167

4-4 Inference on the Mean of a Population, Variance Known 169

4-4.1 Hypothesis Testing on the Mean 169

4-4.2 Type II Error and Choice of Sample Size 173

4-4.3 Large-Sample Test 177

4-4.4 Some Practical Comments on Hypothesis Testing 177

4-4.5 Confidence Interval on the Mean 178

4-4.6 General Method for Deriving a Confidence Interval 184

4-5 Inference on the Mean of a Population, Variance Unknown 186

4-5.1 Hypothesis Testing on the Mean 187

4-5.2 Type II Error and Choice of Sample Size 193

4-5.3 Confidence Interval on the Mean 195

4-6 Inference on the Variance of a Normal Population 199

4-6.1 Hypothesis Testing on the Variance of a Normal Population 199

4-6.2 Confidence Interval on the Variance of a Normal Population 203

4-7 Inference on a Population Proportion 205

4-7.1 Hypothesis Testing on a Binomial Proportion 205

4-7.2 Type II Error and Choice of Sample Size 208

4-7.3 Confidence Interval on a Binomial Proportion 210

4-8 Other Interval Estimates for a Single Sample 216

4-8.1 Prediction Interval 216

4-8.2 Tolerance Intervals for a Normal Distributio...

Sommaire:

Chapter 1 The Role of Statistics in Engineering 1

1-1 The Engineering Method and Statistical Thinking 2

1-2 Collecting Engineering Data 6

1-2.1 Retrospective Study 7

1-2.2 Observational Study 8

1-2.3 Designed Experiments 9

1-2.4 Random Samples 12

1-3 Mechanistic and Empirical Models 15

1-4 Observing Processes Over Time 17

Chapter 2 Data Summary and Presentation 23

2-1 Data Summary and Display 24

2-2 Stem-and-Leaf Diagram 29

2-3 Histograms 34

2-4 Box Plot 39

2-5 Time Series Plots 41

2-6 Multivariate Data 46

Chapter 3 Random Variables and Probability Distributions 57

3-1 Introduction 58

3-2 Random Variables 60

3-3 Probability 62

3-4 Continuous Random Variables 66

3-4.1 Probability Density Function 66

3-4.2 Cumulative Distribution Function 68

3-4.3 Mean and Variance 70

3-5 Important Continuous Distributions 74

3-5.1 Normal Distribution 74

3-5.2 Lognormal Distribution 84

3-5.3 Gamma Distribution 86

3-5.4 Weibull Distribution 86

3-5.5 Beta Distribution 88

3-6 Probability Plots 92

3-6.1 Normal Probability Plots 92

3-6.2 Other Probability Plots 94

3-7 Discrete Random Variables 97

3-7.1 Probability Mass Function 97

3-7.2 Cumulative Distribution Function 98

3-7.3 Mean and Variance 99

3-8 Binomial Distribution 102

3-9 Poisson Process 109

3-9.1 Poisson Distribution 109

3-9.2 Exponential Distribution 113

3-10 Normal Approximation to the Binomial and Poisson Distributions 119

3-11 More than One Random Variable and Independence 123

3-11.1 Joint Distributions 123

3-11.2 Independence 124

3-12 Functions of Random Variables 129

3-12.1 Linear Functions of Independent Random Variables 130

3-12.2 Linear Functions of Random Variables That are Not Independent 131

3-12.3 Nonlinear Functions of Independent Random Variables 133

3-13 Random Samples, Statistics, and the Central Limit Theorem 136

Chapter 4 Decision Making for a Single Sample 148

4-1 Statistical Inference 149

4-2 Point Estimation 150

4-3 Hypothesis Testing 156

4-3.1 Statistical Hypotheses 156

4-3.2 Testing Statistical Hypotheses 158

4-3.3 P-Values in Hypothesis Testing 164

4-3.4 One-Sided and Two-Sided Hypotheses 166

4-3.5 General Procedure for Hypothesis Testing 167

4-4 Inference on the Mean of a Population, Variance Known 169

4-4.1 Hypothesis Testing on the Mean 169

4-4.2 Type II Error and Choice of Sample Size 173

4-4.3 Large-Sample Test 177

4-4.4 Some Practical Comments on Hypothesis Testing 177

4-4.5 Confidence Interval on the Mean 178

4-4.6 General Method for Deriving a Confidence Interval 184

4-5 Inference on the Mean of a Population, Variance Unknown 186

4-5.1 Hypothesis Testing on the Mean 187

4-5.2 Type II Error and Choice of Sample Size 193

4-5.3 Confidence Interval on the Mean 195

4-6 Inference on the Variance of a Normal Population 199

4-6.1 Hypothesis Testing on the Variance of a Normal Population 199

4-6.2 Confidence Interval on the Variance of a Normal Population 203

4-7 Inference on a Population Proportion 205

4-7.1 Hypothesis Testing on a Binomial Proportion 205

4-7.2 Type II Error and Choice of Sample Size 208

4-7.3 Confidence Interval on a Binomial Proportion 210

4-8 Other Interval Estimates for a Single Sample 216

4-8.1 Prediction Interval 216

4-8.2 Tolerance Intervals for a Normal Distributio...