Engineering statistics : an introduction / Edward B. Magrab.

This book presents a concise and focused introduction to engineering statistics, emphasizing topics and concepts that a practicing engineer is mostly likely to use: the display of data, confidence intervals, hypothesis testing, fitting straight lines to data, and designing experiments to find the im...

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Bibliographic Details
Main Author: Magrab, Edward B.
Format: eBook
Language:English
Published: Cham, Switzerland : Springer, 2022.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Intro
  • Preface
  • Contents
  • Chapter 1: Descriptive Statistics and Discrete Probability Distributions
  • 1.1 Introduction
  • 1.2 Definitions
  • 1.3 Statistical Measures and the Display of Data
  • 1.3.1 Histograms
  • 1.3.2 Sample Median and Quartiles
  • 1.3.3 Sample Mean and the Expected Value
  • 1.3.4 Sample Variance
  • 1.3.5 Probability Mass Function
  • 1.3.6 Independent Random Variables
  • 1.3.7 Unbiased Variance
  • 1.4 Binomial and Poisson Distributions
  • 1.4.1 Binomial Distribution
  • 1.4.2 Poisson Distribution
  • 1.5 Definitions Regarding Measurements
  • 1.6 Exercises
  • Chapter 2: Continuous Probability Distributions, Confidence Intervals, and Hypothesis Testing
  • 2.1 Introduction
  • 2.2 Continuous Probability Distributions
  • 2.2.1 Introduction
  • 2.2.2 Definitions Using Continuous Probability Distributions
  • 2.3 Normal Distribution
  • 2.3.1 Normal Distribution
  • 2.3.2 Combining Independent Normally Distributed Random Variables
  • 2.3.3 Probability Plots for the Normal Distribution
  • 2.3.4 Central Limit Theorem
  • 2.3.5 Lognormal Distribution
  • 2.4 Chi Square Distribution
  • 2.5 Student t Distribution
  • 2.6 Differences in the Means
  • 2.6.1 Paired Samples
  • 2.7 f Distribution
  • 2.8 Weibull Distribution
  • 2.9 Hypothesis Testing
  • 2.9.1 Introduction
  • 2.9.2 p-Value
  • 2.9.3 Examples of Hypothesis Testing
  • 2.9.4 Type I and Type II Errors
  • 2.10 Exercises
  • Reference
  • Chapter 3: Regression Analysis and the Analysis of Variance
  • 3.1 Introduction
  • 3.2 Simple Linear Regression and the Analysis of Variance
  • 3.2.1 Simple Linear Regression
  • 3.2.2 Analysis of Variance (ANOVA)
  • 3.2.3 Analysis of Residuals
  • 3.3 Multiple Linear Regression
  • 3.4 Exercises
  • Chapter 4: Experimental Design
  • 4.1 Introduction
  • 4.2 One-Factor Analysis of Variance
  • 4.3 Randomized Complete Block Design
  • 4.4 Two Factor Experiment
  • 4.5 2k-Factorial Experiments
  • 4.6 Exercises
  • Appendix A: Moment Generating Function
  • A.1 Moment Generating Function
  • A.2 Moment Generating Function of the Chi Square Distribution
  • A.3 Independence of Mean and Variance for Normally Distributed Independent Random Variables
  • Bibliography
  • Internet
  • Index