Buch, Englisch, 896 Seiten, Format (B × H): 203 mm x 257 mm, Gewicht: 2018 g
ISBN: 978-1-118-46404-5
Verlag: WILEY
Introducing the tools of statistics and probability from the ground up
An understanding of statistical tools is essential for engineers and scientists who often need to deal with data analysis over the course of their work. Statistics and Probability with Applications for Engineers and Scientists walks readers through a wide range of popular statistical techniques, explaining step-by-step how to generate, analyze, and interpret data for diverse applications in engineering and the natural sciences.
Unique among books of this kind, Statistics and Probability with Applications for Engineers and Scientists covers descriptive statistics first, then goes on to discuss the fundamentals of probability theory. Along with case studies, examples, and real-world data sets, the book incorporates clear instructions on how to use the statistical packages Minitab(r) and Microsoft(r) Office Excel(r) to analyze various data sets. The book also features:
* Detailed discussions on sampling distributions, statistical estimation of population parameters, hypothesis testing, reliability theory, statistical quality control including Phase I and Phase II control charts, and process capability indices
* A clear presentation of nonparametric methods and simple and multiple linear regression methods, as well as a brief discussion on logistic regression method
* Comprehensive guidance on the design of experiments, including randomized block designs, one- and two-way layout designs, Latin square designs, random effects and mixed effects models, factorial and fractional factorial designs, and response surface methodology
* A companion website containing data sets for Minitab and Microsoft Office Excel, as well as JMP (r) routines and results
Assuming no background in probability and statistics, Statistics and Probability with Applications for Engineers and Scientists features a unique, yet tried-and-true, approach that is ideal for all undergraduate students as well as statistical practitioners who analyze and illustrate real-world data in engineering and the natural sciences.
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
Weitere Infos & Material
Preface xvii
Chapter 1 Introduction 1
1.1 Designed Experiment 2
1.2 A Survey 5
1.3 An Observational Study 6
1.4 A Set of Historical Data 6
1.5 A Brief Description of What is Covered in This Book 6
PART I
Chapter 2 Describing Data Graphically and Numerically 11
2.1 Getting Started with Statistics 12
2.2 Classification of Various Types of Data 15
2.3 Frequency Distribution Tables for Qualitative and Quantitative Data 17
2.4 Graphical Description of Qualitative and Quantitative Data 25
2.5 Numerical Measures of Quantitative Data 41
2.6 Numerical Measures of Grouped Data 55
2.7 Measures of Relative Position 59
2.8 Box-Whisker Plot 62
2.9 Measures of Association 68
2.10 Case Studies 71
2.11 Using JMP1 73
Review Practice Problems 73
Chapter 3 Elements of Probability 83
3.1 Introduction 84
3.2 Random Experiments, Sample Spaces, and Events 84
3.3 Concepts of Probability 88
3.4 Techniques of Counting Sample Points 93
3.5 Conditional Probability 98
3.6 Bayes's Theorem 100
3.7 Introducing Random Variables 104
Review Practice Problems 105
Chapter 4 Discrete Random Variables and Some Important Discrete
Probability Distributions 111
4.1 Graphical Descriptions of Discrete Distributions 112
4.2 Mean and Variance of a Discrete Random Variable 113
4.3 The Discrete Uniform Distribution 117
4.4 The Hypergeometric Distribution 119
4.5 The Bernoulli Distribution 122
4.6 The Binomial Distribution 123
4.7 The Multinomial Distribution 126
4.8 The Poisson Distribution 128
4.9 The Negative Binomial Distribution 132
4.10 Some Derivations and Proofs (Optional) 135
4.11 A Case Study 135
4.12 Using JMP 135
Review Practice Problems 136
Chapter 5 Continuous Random Variables and Some Important Continuous Probability Distributions 143
5.1 Continuous Random Variables 144
5.2 Mean and Variance of Continuous Random Variables 146
5.3 Chebychev's Inequality 151
5.4 The Uniform Distribution 152
5.5 The Normal Distribution 157
5.6 Distribution of Linear Combination of Independent Normal Variables 165
5.7 Approximation of the Binomial and Poisson Distribution by the Normal Distribution 169
5.8 A Test of Normality 171
5.9 Probability Models Commonly Used in Reliability Theory 175
5.10 A Case Study 191
5.11 Using JMP 192
Review Practice Problems 192
Chapter 6 Distribution of Functions of Random Variables 199
6.1 Introduction 200
6.2 Distribution Functions of Two Random Variables 200
6.3 Extension to Several Random Variables 214
6.4 The Moment-Generating Function Revisited 214
Review Practice Problems 218
Chapter 7 Sampling Distributions 223
7.1 Random Sampling 224
7.2 The Sampling Distribution of the Mean 228
7.3 Sampling from a Normal Population 234
7.4 Order Statistics 247
7.5 Using JMP 247
Review Practice Problems 247
Chapter 8 Estimation of Population Parameters 251
8.1 Introduction 252
8.2 Point Estimators for the Population Mean and Variance 252
8.3 Interval Estimators for the Mean m of a Normal Population 262
8.4 Interval Estimators for the Difference of Means of Two Normal Populations 272
8.5 Interval Estimators for the Variance of a Normal Population 280
8.6 Interval Estimator for the Ratio of Variances of Two Normal Populations 284
8.7 Point and Interval Estimators for the Parameters of Binomial Populations 288
8.8 Determination of Sample Size 294
8.9 Some Supplemental Information 298
8.10 A Case Study 298
8.11 Using JMP 299
Review Practice Problems 299
Chapter 9 Hypothesis Testing 307
9.1 Introduction 308
9.2 Basic Concepts of Testing a Statistical Hypothesis 308
9.3 Tests Concerning the Mean of a Normal Population Having Known Variance 312
9.4 Tests Concerning the Mean of a Normal Population Having Unknown Variance 324
9.5 Large Sample Theory 330
9.6 Tests Concerning the Difference of Means of Two Populations Having Distributions with Known Variances 332
9.7 Tests Concerning the Difference of Means of Two Populations Having Normal Distributions with Unknown Variances 339
9.8 Testing Population Proportions 349
9.9 Tests Concerning the Variance of a Normal Population 355
9.10 Tests Concerning the Ratio of Variances of Two Normal Populations 358
9.11 Testing of Statistical Hypotheses Using Confidence Intervals 362
9.12 Sequential Tests of Hypotheses 367
9.13 Case Studies 374
9.14 Using JMP 375
Review Practice Problems 375
PART II
Chapter 10 Elements of Reliability Theory 389
10.1 The Reliability Function 390
10.2 Estimation: Exponential Distribution 399
10.3 Hypothesis Testing: Exponential Distribution 406
10.4 Estimation: Weibull Distribution 407
10.5 Case Studies 414
10.6 Using JMP 416
Review Practice Problems 416
Chapter 11 Statistical Quality Control--Phase I Control Charts 419
11.1 Basic Concepts of Quality and Its Benefits 420
11.2 What a Process Is and Some Valuable Tools 420
11.3 Common and Assignable Causes 427
11.4 Control Charts 429
11.5 Control Charts for Variables 434
11.6 Control Charts for Attributes 448
11.7 Process Capability 468
11.8 Case Studies 470
11.9 Using JMP 472
Review Practice Problems 472
Chapter 12 Statistical Quality Control--Phase II Control Charts 479
12.1 Introduction 480
12.2 Basic Concepts of CUSUM Control Chart 480
12.3 Designing a CUSUM Control Chart 483
12.4 The Moving Average (MA) Control Chart 495
12.5 The Exponentially Weighted Moving Average (EWMA) Control Chart 499
12.6 Case Studies 504
12.7 Using JMP 505
Review Practice Problems 506
Chapter 13 Analysis of Categorical Data 509
13.1 Introduction 509
13.2 The Chi-Square Goodness-of-Fit Test 510
13.3 Contingency Tables 517
13.4 Chi-Square Test for Homogeneity 525
13.5 Comments on the Distribution of the Lack-of-Fit Statistics 528
13.6 Case Studies 529
Review Practice Problems 531
Chapter 14 Nonparametric Tests 537
14.1 Introduction 537
14.2 The Sign Test 538
14.3 Mann-Whitney (Wilcoxon) W Test for Two Samples 548
14.4 Runs Test 551
14.5 Spearman Rank Correlation 556
14.6 Using JMP 559
Review Practice Problems 559
Chapter 15 Simple Linear Regression Analysis 565
15.1 Introduction 566
15.2 Fitting the Simple Linear Regression Model 567
15.3 Unbiased Estimator of s2 578
15.4 Further Inferences Concerning Regression Coefficients (b0, b1), E(Y), and Y 580
15.5 Tests of Hypotheses for b0 and b1 590
15.6 Analysis of Variance Approach to Simple Linear Regression Analysis 596
15.7 Residual Analysis 601
15.8 Transformations 609
15.9 Inference About r 615
15.10 A Case Study 618
15.11 Using JMP 619
Review Practice Problems 619
Chapter 16 Multiple Linear Regression Analysis 627
16.1 Introduction 628
16.2 Multiple Linear Regression Models 628
16.3 Estimation of Regression Coefficients 632
16.4 Multiple Linear Regression Model Using Quantitative and Qualitative Predictor Variables 646
16.5 Standardized Regression Coefficients 658
16.6 Building Regression Type Prediction Models 662
16.7 Residual Analysis and Certain Criteria for Model Selection 665
16.8 Logistic Regression 672
16.9 Case Studies 676
16.10 Using JMP 677
Review Practice Problems 678
Chapter 17 Analysis of Variance 685
17.1 Introduction 686
17.2 The Design Models 686
17.3 One-Way Experimental Layouts 689
17.4 Randomized Complete Block Designs 710
17.5 Two-Way Experimental Layouts 722
17.6 Latin Square Designs 736
17.7 Random-Effects and Mixed-Effects Models 742
17.8 A Case Study 752
17.9 Using JMP 753
Review Practice Problems 753
Chapter 18 The 2k Factorial Designs 765
18.1 Introduction 766
18.2 The Factorial Designs 766
18.3 The 2k Factorial Design 768
18.4 Unreplicated 2k Factorial Designs 776
18.5 Blocking in the 2k Factorial Design 782
18.6 The 2k Fractional Factorial Designs 790
18.7 Case Studies 799
18.8 Using JMP 801
Review Practice Problems 801
Chapter 19 Response Surfaces
This chapter is not included in text, but is available for download via the book's website: www.wiley.com/go/statsforengineers
Appendices 807
Appendix A Statistical Tables 809
Appendix B Answers to Selected Problems 845
Appendix C Bibliography 863
Index 867
