Data analytics : handbook of formulas and techniques /
Good data analytics is the basis for effective decisions. Whoever has the data, has the ability to extract information promptly and effectively to make pertinent decisions. The premise of this handbook is to empower users and tool developers with the appropriate collection of formulas and techniques...
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press,
2020.
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| Edition: | First edition. |
| Series: | Systems innovation series.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Cover
- Half Title
- Series Page
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Preface
- Acknowledgments
- Author
- Chapter 1 Essentials of Data Analytics
- Introduction to COVID-19 Data Analytics
- Systems View of Data Analytics
- Global Growth of Data Analytics
- Background in Predictive Analytics
- Data Modeling Approaches
- Data Fanaticism
- Data and Measurements for Data Analytics
- What is Measurement?
- Data Measurement Systems
- Fundamental Scientific Equations
- Einstein's Equation
- Einstein's Field Equation
- Heisenberg's Uncertainty Principle
- Schrödinger Equation
- Dirac Equation
- Maxwell's Equations
- Boltzmann's Equation for Entropy
- Planck-Einstein Equation
- Planck's Blackbody Radiation Formula
- Hawking Equation for Black Hole Temperature
- Navier-Stokes Equation for a Fluid
- Lagrangian for Quantum Chromodynamics
- Bardeen-Cooper-Schrieffer Equation for Superconductivity
- Josephson Effect
- Fermat's Last Theorem
- Methods for Data Measurement and Comparison
- Direct Comparison
- Indirect Comparison
- Data Measurement Scales
- Nominal Scale of Measurement
- Ordinal Scale of Measurement
- Interval Scale of Measurement
- Ratio Scale Measurement
- Reference Units of Measurements
- Common Constants
- Numeric Data Representation
- The Language of Data Analytics
- Quick Reference for Mathematical Equations
- Reference
- Chapter 2 Empirical Model Building
- Introduction to the Model Environment
- State-Space Modeling
- Calculus Reference for Data Analytics
- Integration Rules
- Solving Integrals with Variable Substitution
- Riemann Integral
- Integration by Parts
- Compound Functions Where the Inner Function is ax
- Integration by Parts
- Systems Modeling for Data Analytics
- Triple C Questions
- Communication
- Cooperation
- Coordination.
- Conflict Resolution in Data Analytics
- References
- Chapter 3 Data Visualization Methods
- Introduction to Data Visualization
- Case Example of "Covidvisualizer" Website
- Dynamism and Volatility of Data
- Data Determination and Collection
- Choosing the Data
- Collecting the Data
- Relevance Check
- Limit Check
- Critical Value
- Coding the Data
- Processing the Data
- Control Total
- Consistency Check
- Scales of Measurement
- Using the Information
- Data Exploitation
- Raw Data
- Total Revenue
- Average Revenue
- Median Revenue
- Quartiles and Percentiles
- The Mode
- Range of Revenue
- Average Deviation
- Sample Variance
- Standard Deviation
- Chapter 4 Basic Mathematical Calculations for Data Analytics
- Introduction to Calculation for Data Analytics
- Quadratic Equation
- Overall Mean
- Chebyshev's Theorem
- Permutations
- Combinations
- Failure
- Probability Distribution
- Probability
- Distribution Function
- Expected Value
- Variance
- Binomial Distribution
- Poisson Distribution
- Mean of a Binomial Distribution
- Variance
- Normal Distribution
- Cumulative Distribution Function
- Population Mean
- Standard Error of the Mean
- t-Distribution
- Chi-Squared Distribution
- Definition of Set and Notation
- Set Terms and Symbols
- Venn Diagrams
- Operations on Sets
- De Morgan's Laws
- Probability Terminology
- Basic Probability Principles
- Random Variable
- Mean Value xˆ or Expected Value
- Series Expansions
- Mathematical Signs and Symbols
- Greek Alphabet
- Algebra
- Laws of Algebraic Operations
- Special Products and Factors
- Powers and Roots
- Proportion
- Arithmetic Mean of n Quantities A
- Geometric Mean of n Quantities G
- Harmonic Mean of n Quantities H
- Generalized Mean
- Solution of Quadratic Equations
- Solution of Cubic Equations.
- Trigonometric Solution of the Cubic Equation
- Solution of Quadratic Equations
- Partial Fractions
- Non-repeated Linear Factors
- Repeated Linear Factors
- General Terms
- Repeated Linear Factors
- Factors of Higher Degree
- Geometry
- Triangles
- Right Triangle
- Equilateral Triangle
- General Triangle
- Menelaus's Theorem
- Ceva's Theorem
- Quadrilaterals
- Rectangle
- Parallelogram
- Rhombus
- Trapezoid
- General Quadrilateral
- Regular Polygon of n Sides Each of Length b
- Regular Polygon of n Sides Inscribed in a Circle of Radius r
- Regular Polygon of n Sides Circumscribing a Circle of Radius r
- Cyclic Quadrilateral
- Prolemy's Theorem
- Cyclic-Inscriptable Quadrilateral
- Planar Areas by Approximation
- Trapezoidal Rule
- Durand's Rule
- Simpson's Rule (n even)
- Weddle's Rule (n = 6)
- Solids Bounded by Planes
- Cube
- Rectangular Parallelepiped (or Box)
- Prism
- Pyramid
- Prismatoid
- Regular Polyhedra
- Sphere of Radius r
- Right Circular Cylinder of Radius r and Height h
- Circular Cylinder of Radius r and Slant Height l
- Cylinder of Cross-Sectional Area A and Slant Height l
- Right Circular Cone of Radius r and Height h
- Spherical Cap of Radius rand Height h
- Frustum of Right Circular Cone of Radii a, b and Height h
- Zone and Segment of Two Bases
- Lune
- Spherical Sector
- Spherical Triangle and Polygon
- Spheroids
- Ellipsoid
- Oblate Spheroid
- Prolate Spheroid
- Circular Torus
- Formulas from Plane Analytic Geometry
- Distance d between Two Points
- Slope m of Line Joining Two Points
- Equation of Line Joining Two Points
- Equation of Line in Terms of x Intercept a ≠ 0 and y intercept b ≠ 0
- Normal Form for Equation of Line
- General Equation of Line
- Distance from Point (x[sub(1)], y[sub(1)]) to Line Ax + By + C = 0.