The book excels in explaining mathematical and statistical techniques, establishing itself as a vital resource for both undergraduate and graduate courses in applied system analysis. Beyond just programming and computation, it offers insights into a variety of problem domains and methodologies relevant to these areas. Its unique combination of theoretical principles and real-world applications, bolstered by empirical examples, equips readers from diverse backgrounds to effectively utilize systems analysis in practical scenarios. In doing so, it equips young scientists and empowers educational institutions around the globe, playing a critical role in shaping curricula and fostering a comprehensive understanding of applied systems analysis.

### Chulwook Park

A Research Professor at Seoul National University in South Korea, earned his Ph.D. in 2016, focusing on elementary coordination dynamics in ecological contexts. His academic journey included a significant period from 2014 to 2015 at the Center for the Ecological Study of Perception and Action, University of Connecticut (CESPA, USA). In 2017, he joined the International

Institute for Applied Systems Analysis (IIASA, Austria) as a postdoctoral research scholar,

a position he held until 2019. Since 2022, Dr. Park has been a part of the Okinawa Institute of

Science and Technology (OIST, Japan), contributing to the Complexity Science and Evolution Unit.

He has made notable contributions to applied systems analysis, publishing various influential

papers and employing dynamic systems-based approaches in his research.###

Institute for Applied Systems Analysis (IIASA, Austria) as a postdoctoral research scholar,

a position he held until 2019. Since 2022, Dr. Park has been a part of the Okinawa Institute of

Science and Technology (OIST, Japan), contributing to the Complexity Science and Evolution Unit.

He has made notable contributions to applied systems analysis, publishing various influential

papers and employing dynamic systems-based approaches in his research.

Acknowledgements

Foreword

Preface

Part 1. Applied Statistics Analysis

1.1. Fundamentals of Statistics - Overview of Statistics, Terminology, Data

1.2. Descriptive Statistics - A Guide to the Concepts of Descriptive Statistics, Distribution, Central Tendency, Variability

1.3. Bell Curve - A Guide to the Concepts of Bell Curve, Empirical Measure of Central Tendency,

Empirical Measure of Dispersion, Central Limit Theorem, Outlier

1.4. Inferential Statistics - A Guide to the Concepts of Inferential Statistics, Sampling for Inference, Hypothesis Testing

- Supplemental Information 1.1: Understanding Research

1.5. Statistical Model, Part 1 - Identification of the t Test, Independent t Test, Independent t Test

Unequal n Two-Tailed, Paired t Test, Factors Affecting the t Test

1.6. Statistical Model, Part 2 - Identification of ANOVA, Two-Way ANOVA, Comparison of One-Way and Two-Way ANOVA

- Supplemental Information 1.2: Experimental Research

- Supplemental Information 1.3: Quasi-Experimental Research

- Supplemental Information 1.4: Qualitative Research

1.7. Statistical Model, Part 3 - Overview of Correlation, Basic Assumptions about Correlation, Facts about Correlation

1.8. Statistical Model, Part 4 - Overview of Simple Regression, Multiple Regression, Logistic Regression

1.9. Statistical Model, Part 5 - Overview of Chi-Square, Chi-Square in Statistics, Chi-Square Test of Independence

- Supplemental Information 1.5: Writing a Research Paper

1.10. Concluding Remarks

- Reading List 1.1: Applied Statistical (Variance-Based) Research Example with Perceptual Accuracy

- Reading List 1.2: Applied Statistical (Regression-Based) Research Example with Executive Function

Part 2. Applied Time Series Analysis

2.1. Fundamentals of Time Series Analysis - Overview of Time Series, A Guide to Stochastic Concepts (4 ways)

2.2. Probability Theory, Part 1 - System Variables, Relative Frequency, Frequency Based Approaches, Probability State Spaces

2.3. Probability Theory, Part 2 - Random Variables, Distributions and Densities, Various Discrete and Continuous Distributions

2.4. Probability Theory, Part 3 - Empirical Probability, Empirical Probability Densities, Moment and Expectation Values

2.5. Probability Theory, Part 4 - Exponential Probability Density, Information Theory, Maximum Likelihood Estimation

- Supplemental Information 2.1: Theoretical Functions of Various Distributions

- Supplemental Information 2.2: Preliminary Requisites for Stochastic Processes

2.6. Stochastic Processes, Part 1 - Definition and Trajectory, Time-Dependent Moments, Joint Probability

2.7. Stochastic Processes, Part 2 - Empirical Detail of Joint Probability, Stationarity, Markov Property

2.8. Markov Chain Modeling, Part 1 - Markov Chains, Marginal vs. Conditional Probability, Practical Practice

2.9. Markov Chain Modeling, Part 2 - Markov Components, Random Walks and Monte Carlo Simulation, Practical Practice

2.10. Stochastic Iterative Maps, Part 1 - Moving Average Model, Autoregressive Model, Practical Practice

2.11. Stochastic Iterative Maps, Part 2 - Autoregressive Moving Average Model, Function and Simulation, Practical Practice

- Supplemental Information 2.3: Autocorrelation

- Supplemental Information 2.4: Power Spectrum

2.12. Master Equations - Identification, Numerical Simulation for Stochastic Systems, Practical Practice

2.13. Markov Diffusion Processes, Part 1 - Dynamics of Markov Diffusion Processes, Wiener Process, Practical Practice

2.14. Markov Diffusion Processes, Part 2 - The Ornstein-Uhlenbeck Process, (Non)Parametric Analysis, Practical Practice

2.15. Concluding Remarks

- Reading List 2.1: Applied Time Series (Probability-Based) Research Example with Elementary

Coordination

- Reading List 2.2: Applied Time Series (Stochastic) Research Example with Modality Dominance

Part 3. Applied Systems Analysis

3.1. Fundamentals of Systems Analysis - Overview of Systems Analysis, Vectors and Scalars, Vector Operation

3.2. Matrices - A Guide to Concepts, Matrix Applications, Implementing Matrices

- Supplemental Information 3.1: Math Symbols with Code

- Supplemental Information 3.2: Differential, Derivative, and Integral

3.3. Networks, Part 1 - A Guide to Concepts, Network Applications, Network Structures,

Measuring Centralities

3.4. Networks, Part 2 - Practical Aspects of Networks, Simulation of Networks Model

- Supplemental Information 3.3: Modules, Packages, and Libraries in Programming

3.5. Agent-Based Model, Part 1 - A Guide to Concepts, Comparing Agent-Based Model to Other Methods, Implementation

3.6. Agent-Based Model, Part 2 - Practical Aspects of Agent-Based Model, Simulations of Agent-Based Model, Cellular Automata

- Supplemental Information 3.4: High Performance Computing (HPC) via Terminals

3.7. Game Theory, Part 1 - A Guide to Concepts, Famous Games and Payoff Matrices, Nash Equilibrium, Prisoner’s Dilemma

3.8. Game Theory, Part 2 - Practical Aspects of Game Theory, Simulation of Game Theory Model

- Supplemental Information 3.5: Systemic Risk Measurement

3.9. Concluding Remarks

- Reading List 3.1: Applied Systems (Agent-Based Simulation) Research with Behavioral Bias

- Reading List 3.2: Applied Systems (Network-Agent Dynamic) Research with Systemic Risk

References

Appendix 1: Statistical Tables

Appendix 2: Glossary of Terms

Appendix 3: Data File Instructions

Appendix 4: Codebook Instructions

Appendix 5: Tables and Figures

Appendix 6: Index

Foreword

Preface

Part 1. Applied Statistics Analysis

1.1. Fundamentals of Statistics - Overview of Statistics, Terminology, Data

1.2. Descriptive Statistics - A Guide to the Concepts of Descriptive Statistics, Distribution, Central Tendency, Variability

1.3. Bell Curve - A Guide to the Concepts of Bell Curve, Empirical Measure of Central Tendency,

Empirical Measure of Dispersion, Central Limit Theorem, Outlier

1.4. Inferential Statistics - A Guide to the Concepts of Inferential Statistics, Sampling for Inference, Hypothesis Testing

- Supplemental Information 1.1: Understanding Research

1.5. Statistical Model, Part 1 - Identification of the t Test, Independent t Test, Independent t Test

Unequal n Two-Tailed, Paired t Test, Factors Affecting the t Test

1.6. Statistical Model, Part 2 - Identification of ANOVA, Two-Way ANOVA, Comparison of One-Way and Two-Way ANOVA

- Supplemental Information 1.2: Experimental Research

- Supplemental Information 1.3: Quasi-Experimental Research

- Supplemental Information 1.4: Qualitative Research

1.7. Statistical Model, Part 3 - Overview of Correlation, Basic Assumptions about Correlation, Facts about Correlation

1.8. Statistical Model, Part 4 - Overview of Simple Regression, Multiple Regression, Logistic Regression

1.9. Statistical Model, Part 5 - Overview of Chi-Square, Chi-Square in Statistics, Chi-Square Test of Independence

- Supplemental Information 1.5: Writing a Research Paper

1.10. Concluding Remarks

- Reading List 1.1: Applied Statistical (Variance-Based) Research Example with Perceptual Accuracy

- Reading List 1.2: Applied Statistical (Regression-Based) Research Example with Executive Function

Part 2. Applied Time Series Analysis

2.1. Fundamentals of Time Series Analysis - Overview of Time Series, A Guide to Stochastic Concepts (4 ways)

2.2. Probability Theory, Part 1 - System Variables, Relative Frequency, Frequency Based Approaches, Probability State Spaces

2.3. Probability Theory, Part 2 - Random Variables, Distributions and Densities, Various Discrete and Continuous Distributions

2.4. Probability Theory, Part 3 - Empirical Probability, Empirical Probability Densities, Moment and Expectation Values

2.5. Probability Theory, Part 4 - Exponential Probability Density, Information Theory, Maximum Likelihood Estimation

- Supplemental Information 2.1: Theoretical Functions of Various Distributions

- Supplemental Information 2.2: Preliminary Requisites for Stochastic Processes

2.6. Stochastic Processes, Part 1 - Definition and Trajectory, Time-Dependent Moments, Joint Probability

2.7. Stochastic Processes, Part 2 - Empirical Detail of Joint Probability, Stationarity, Markov Property

2.8. Markov Chain Modeling, Part 1 - Markov Chains, Marginal vs. Conditional Probability, Practical Practice

2.9. Markov Chain Modeling, Part 2 - Markov Components, Random Walks and Monte Carlo Simulation, Practical Practice

2.10. Stochastic Iterative Maps, Part 1 - Moving Average Model, Autoregressive Model, Practical Practice

2.11. Stochastic Iterative Maps, Part 2 - Autoregressive Moving Average Model, Function and Simulation, Practical Practice

- Supplemental Information 2.3: Autocorrelation

- Supplemental Information 2.4: Power Spectrum

2.12. Master Equations - Identification, Numerical Simulation for Stochastic Systems, Practical Practice

2.13. Markov Diffusion Processes, Part 1 - Dynamics of Markov Diffusion Processes, Wiener Process, Practical Practice

2.14. Markov Diffusion Processes, Part 2 - The Ornstein-Uhlenbeck Process, (Non)Parametric Analysis, Practical Practice

2.15. Concluding Remarks

- Reading List 2.1: Applied Time Series (Probability-Based) Research Example with Elementary

Coordination

- Reading List 2.2: Applied Time Series (Stochastic) Research Example with Modality Dominance

Part 3. Applied Systems Analysis

3.1. Fundamentals of Systems Analysis - Overview of Systems Analysis, Vectors and Scalars, Vector Operation

3.2. Matrices - A Guide to Concepts, Matrix Applications, Implementing Matrices

- Supplemental Information 3.1: Math Symbols with Code

- Supplemental Information 3.2: Differential, Derivative, and Integral

3.3. Networks, Part 1 - A Guide to Concepts, Network Applications, Network Structures,

Measuring Centralities

3.4. Networks, Part 2 - Practical Aspects of Networks, Simulation of Networks Model

- Supplemental Information 3.3: Modules, Packages, and Libraries in Programming

3.5. Agent-Based Model, Part 1 - A Guide to Concepts, Comparing Agent-Based Model to Other Methods, Implementation

3.6. Agent-Based Model, Part 2 - Practical Aspects of Agent-Based Model, Simulations of Agent-Based Model, Cellular Automata

- Supplemental Information 3.4: High Performance Computing (HPC) via Terminals

3.7. Game Theory, Part 1 - A Guide to Concepts, Famous Games and Payoff Matrices, Nash Equilibrium, Prisoner’s Dilemma

3.8. Game Theory, Part 2 - Practical Aspects of Game Theory, Simulation of Game Theory Model

- Supplemental Information 3.5: Systemic Risk Measurement

3.9. Concluding Remarks

- Reading List 3.1: Applied Systems (Agent-Based Simulation) Research with Behavioral Bias

- Reading List 3.2: Applied Systems (Network-Agent Dynamic) Research with Systemic Risk

References

Appendix 1: Statistical Tables

Appendix 2: Glossary of Terms

Appendix 3: Data File Instructions

Appendix 4: Codebook Instructions

Appendix 5: Tables and Figures

Appendix 6: Index