Statistical Methods for Engineers and Scientists, Third Edition

✍ Scribed by Bethea, Robert M

• Publisher: Routledge
• Year: 2018
• Tongue: English
• Leaves: 681
• Series: Statistics textbooks and monographs
• Edition: 3rd ed
• Category: Library

✦ Table of Contents

Content: Cover
Half Title
Title Page
Copyright Page
Preface
Contents
List of Worked Examples
List of Tables
1. lntroduction
2.2 Definition of Probability
2.3 Possible Ways for Events to Occur
2.3.1 Permutations
2.3.2 Combinations
2.4 Probability Computation Rules
2.4.1 Applications
2.5 A Posteriori Probability
Problems
References
3. Distributions
3.1 Introduction
3.2 Definitions
3.3 Theoretical Distributions
3.4 Discrete Distributions
3.4.1 Binomial Distribution
3.4.2 Poisson Distribution
3.4.3 Negative Binomial Distribution
3.4.4 Hypergeometric Distribution 3.5 Continuous Distributions3.5.1 Normal Distribution
3.5.2 Exponential Distribution
3.5.3 Chi-Square Distribution
3.5.4 Student's I-Distribution
3.5.5 F-Distribulion
3.5.6 Weibull Distribution
3.5.7 Gamma Distribution
3.5.8 Log-Normal Distribution
3.6 Experimental Distributions
Problems
4. Descriptive Statistics
4.1 Introduction
4.2 Measures of Location
4.3 Measures of Variability
Problems
5. Expected Values and Moments
5.1 Introduction
5.2 Discrete Distributions
5.3 Continuous Distributions
5.4 Joint Distributions and Independence of Random Variables
5.5 Moments 5.6 ExamplesProblems
6. Statistical Inference: Estimation
6.1 Introduction
6.2 Statistical Estimation
6.3 Point Estimates
6.4 Interval Estimates
6.5 Chi-Square Distributions
6.6 The t-Distribution
6.7 The F-Distribution
6.8 Estimation of the Mean
6.9 Comparison of Two Means
6.10 Estimation Involving Paired Observations
6.11 Variance
6.12 Estimation of a Variance
6.13 Comparison of Two Variances
6.14 Estimation of a Proportion P
6.15 Comparison of Two Proportions
Problems
Reference
7. Statistical Inference: Hypothesis Testing
7.1 Introduction
7.2 Types of Errors 7.3 Testing of Hypotheses7.4 One-Tailed and Two-Tailed Tests
7.5 Tests Concerning the Mean
7.5.1 Parametric Methods for the Mean (Variance Is Known)
7.5.2 Parametric Methods for the Mean (Variance Is Unknown)
7.5.3 Nonparametric Methods for the Mean
7.6 Parametric Tests on the Difference of Two Means
7.6.1 Wilcoxon Rank-Sum Test
7.7 Paired t-Test
7.7.1 Parametric Test for Paired Observations
7.7.2 Wilcoxon Signed-Ranks Test for Paired Data
7.8 Testing a Proportion P
7.9 Testing the Difference of Two Proportions
7.10 Tests Concerning the Variance
7.11 Goodness-of-Fit Tests 7.12 Contingency Tests7.13 Bartlett's Test for Equality of Variances
7.14 Testing the Equality of Variances
Problems
References
8. Analysis of Variance
8.1 Introduction
8.2 General Linear Model
8.3 One-Way Analysis of Variance
8.3.1 Pooled Variance Estimates
8.3.2 Variance of Group Means
8.3.3 Model for One-Way Analysis of Variance
8.3.4 Unequal Observations in One-Way Analysis of Variance
8.3.5 Subsampling in One-Way Analysis of Variance
8.4 Two-Way and Three-Way Analysis of Variance
8.4.1 Model for Two-Way Analysis of Variance
8.4.2 Interaction