Statistics and Data Analysis for Engineers and Scientists

✍ Scribed by Tanvir Mustafy, Md. Tauhid Ur Rahman

• Publisher: Springer
• Year: 2024
• Tongue: English
• Leaves: 192
• Series: Transactions on Computer Systems and Networks
• Category: Library

✦ Table of Contents

Contents
About the Authors
1 Introduction
1.1 General Overview
1.1.1 Use of Scientific Data
1.1.2 Importance of Statistics
1.1.3 Statistics and Engineering
1.1.4 Two Basic Concepts—Population and Sample
1.1.5 Variable of Interest, Statistical Population, and Sample
1.1.6 Variability in Scientific Data
1.2 Collection of Data
1.2.1 Experimental Design
1.2.2 Why Assign Experimental Units Randomly
1.3 Measures of Location: The Sample Mean and Median
1.4 Other Measures of Locations
1.5 Exercises
1.6 Measures of Variability
1.6.1 Sample Standard Deviation and Sample Range
1.6.2 Units of Standard Deviation and Variance
1.7 Exercises
1.8 Discrete and Continuous Data
1.9 Statistical Modeling, Scientific Inspection, and Graphical Diagnostics
1.9.1 Scatter Plot
1.9.2 Stem-and-Leaf Plot
1.9.3 Histogram
1.9.4 Box-and-Whisker Plot or Box Plot
1.9.5 Other Distinguishing Features of a Sample
1.10 Exercises
References
2 MATLAB
2.1 MATLAB
2.1.1 Introduction to MATLAB
2.1.2 Some Basic Commands in MATLAB
2.2 Script Files
2.3 Function Files
2.4 Arrays and Matrices
2.5 Homework Problems
2.6 Mathematical Operations
2.6.1 Relational Operations
2.6.2 Trigonometric Functions
2.6.3 Other Trigonometric Functions
2.7 Algebraic Functions
2.7.1 Solving a Linear Equation
2.7.2 Polynomial Curve Fitting
2.8 Data Analysis and Statistics
2.9 Two-Dimensional Plots
2.9.1 Basic 2D Plots
2.9.2 Modifying Plots with the Plot Editor
2.9.3 Specialized 2D Plots
2.10 Three-Dimensional Plots
2.10.1 Mesh and Surface Plot Examples
2.10.2 Modifying an Existing Plot
2.10.3 Loops
2.11 Numerical Analysis
2.11.1 Roots of Polynomials
2.12 Exercises
3 Excel
3.1 Introduction to Excel
3.2 The Fundamentals of Microsoft Excel
3.2.1 Worksheets and Workbooks
3.2.2 Rows, Columns, Cells
3.2.3 Data Formatting
3.3 Inputting Functions and Formulas
3.3.1 Directly in the Cells
3.3.2 Using the Formula Bar
3.4 Some Important Mathematical Operations
3.4.1 SUM
3.4.2 MIN and MAX
3.4.3 SUMPRODUCT
3.4.4 Homework Problem
3.5 Trigonometric Functions
3.5.1 Units: Radians and Degrees
3.5.2 SIN, COS, TAN
3.6 Measures of Location and Variation
3.6.1 Mean, Median, Mode
3.6.2 Variance and Standard Deviation
3.6.3 Quartiles and Percentiles
3.6.4 Box-and-Whisker Diagram
3.6.5 Homework Problem
3.7 Correlation and Regression Modeling
3.7.1 Pearson’s Correlation Coefficient
3.7.2 Scatter Diagrams and Trendlines
3.7.3 Linear Models
3.7.4 Nonlinear Models
3.7.5 Homework Problem
3.8 Graphs and Charts
3.8.1 Pie Charts
3.8.2 Bar Charts
3.8.3 Histograms
3.8.4 Homework Problems
3.9 Financial Data Analysis
3.9.1 Currency Formatting
3.9.2 Simple and Compound Interest
3.9.3 Number of Payments (NPER & PDURATION)
3.9.4 Depreciation Using the Straight-Line Method
3.9.5 Homework Problems
3.10 Exercises
4 SPSS
4.1 Introduction to SPSS
4.1.1 Creating and Defining Variables
4.1.2 Entering and Sorting Data
4.2 Measures of Dispersion
4.2.1 Central Tendency and Dispersion
4.2.2 Quartiles and Percentiles
4.2.3 Box-and-Whisker Plot
4.2.4 Frequency Distribution
4.2.5 Homework Problem
4.3 Correlation
4.3.1 Scatter Plots
4.3.2 Pearson’s Correlation Coefficient
4.3.3 Homework Problem
4.4 Regression Analysis
4.4.1 Simple Linear Regression
4.4.2 Homework Problems
4.5 Graphs and Charts
4.5.1 Line Graphs
4.5.2 Coding the Data
4.5.3 Bar Charts
4.5.4 Pie Charts
4.5.5 Histogram
4.5.6 Homework Problems
4.6 Inferential Statistics
4.6.1 Analysis of Variance (ANOVA)
4.6.2 Homework Problem
4.6.3 Exercises