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Book Cover
E-book
Author Fox, William P

Title Probability and Statistics for Engineering and the Sciences with Modeling Using R
Published Milton : CRC Press LLC, 2023

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Description 1 online resource (429 p.)
Series Textbooks in Mathematics Ser
Textbooks in Mathematics Ser
Contents Cover -- Half Title -- Series -- Title -- Copyright -- Dedication -- Contents -- Preface -- Acknowledgments -- 1 Introduction to Statistical Modeling and Models and R -- 1.1 What Is Modeling? -- 1.2 Overview and the Modeling Process -- 1.3 The Modeling Process -- 1.3.1 Mathematical Modeling -- 1.3.2 Models and Real-World Systems -- 1.3.3 Model Construction -- 1.4 Making Assumptions -- 1.5 Illustrative Modeling Examples -- 1.6 Technology -- 1.6.1 What Is R? -- 1.6.1.1 Introduction to R -- 1.6.2 The R Environment -- 1.6.3 R, Data, and Manipulating Data
1.6.3.1 Importing Data from EXCEL (as a csv file) to RStudio -- 1.7 Chapter 1 Exercises -- 1.8 Chapter 1 Projects -- 1.9 References and Additional Readings -- 2 Introduction to Data -- 2.1 Finding Basic Statistics -- 2.2 Chapter 2 Exercises -- 2.3 Displaying the Data -- 2.3.1 Data Ambiguity -- 2.3.2 Data Distortion -- 2.3.3 Data Distraction -- 2.3.4 Two Chart Types That Should Always Be Avoided -- 2.3.5 Good Graphical Displays -- 2.4 Chapter 2 Exercises -- 2.5 References and Suggested Readings -- 2.6 Good Displays of Categorical Data -- 2.6.1 Bar Charts -- 2.7 Chapter 2 Exercises
2.8 Displaying Quantitative Data -- 2.8.1 Symmetry -- 2.8.2 Stem and Leaf Plots -- 2.9 Chapter 2 Exercises -- 2.9.1 Displaying Quantitative Data with Histograms -- 2.10 Chapter 2 Exercises -- 2.11 Displaying Quantitative Data Using Boxplots and for Comparisons -- 2.11.1 Unequal Lengths -- 2.11.2 Comparisons -- 2.11.3 R (Retrieving Data) for Obtaining Displays -- 2.12 Chapter 2 Exercises -- 2.13 Summary: Displays of Data -- 2.13.1 Categorical Data Displays -- 2.13.2 Quantitative Displays -- 2.14 Chapter 2 Exercises -- 3 Statistical Measures -- 3.1 Measures of Central Tendency or Location
3.1.1 Describing the Data -- 3.1.2 The Mean -- 3.1.3 The Median -- 3.1.4 The Trimmed Mean -- 3.1.5 The Mode -- 3.2 Measures of Dispersion -- 3.2.1 The Variance and Standard Deviation -- 3.2.2 The Range and Interquartile Range (IQR) -- 3.3 Measures of Symmetry and Skewness -- 3.4 Summary with Descriptive Statistics Using R -- 3.4.1 Measures of Location -- 3.4.2 Measures of Spread -- 3.4.3 Measures of Symmetry and Skewness -- 3.5 Summary of Measures -- 3.5.1 Definition of "Skewness" -- 3.5.2 Definition of "Mean" -- 3.5.3 Statistics and Measures Summary
3.5.4 R (Retrieved Data and Descriptive Statistics) -- 3.6 Chapter 3 Exercises -- 4 Classical Probability -- 4.1 Introduction to Classical Probability -- 4.1.1 The Law of Large Numbers -- 4.2 Counting -- 4.2.1 The Multiplication Rule -- 4.2.2 Permutations and Combinations -- 4.2.3 Combinations -- 4.2.4 Computing Permutations and Combinations in R -- 4.3 Chapter 4 Exercises -- 4.4 Probability from Data -- 4.4.1 Intersections and Unions -- 4.4.2 The Addition Rule -- 4.4.3 Rule for Mutually Exclusive Sets -- 4.4.4 Addition Rule for Mutually Exclusive Events -- 4.4.5 Complement Rule
Notes Description based upon print version of record
4.4.6 Conditional Probability
Form Electronic book
Author Sturdivant, Rodney X
ISBN 9781000825572
1000825574