Book Image

Simulation for Data Science with R

By : Matthias Templ
Book Image

Simulation for Data Science with R

By: Matthias Templ

Overview of this book

Data Science with R aims to teach you how to begin performing data science tasks by taking advantage of Rs powerful ecosystem of packages. R being the most widely used programming language when used with data science can be a powerful combination to solve complexities involved with varied data sets in the real world. The book will provide a computational and methodological framework for statistical simulation to the users. Through this book, you will get in grips with the software environment R. After getting to know the background of popular methods in the area of computational statistics, you will see some applications in R to better understand the methods as well as gaining experience of working with real-world data and real-world problems. This book helps uncover the large-scale patterns in complex systems where interdependencies and variation are critical. An effective simulation is driven by data generating processes that accurately reflect real physical populations. You will learn how to plan and structure a simulation project to aid in the decision-making process as well as the presentation of results. By the end of this book, you reader will get in touch with the software environment R. After getting background on popular methods in the area, you will see applications in R to better understand the methods as well as to gain experience when working on real-world data and real-world problems.
Table of Contents (18 chapters)
Simulation for Data Science with R
Credits
About the Author
About the Reviewer
www.PacktPub.com
Preface
Index

Chapter 10. Simulation with Complex Data

Is an estimator biased in finite samples? Is an estimator consistent under departures from assumptions? Is the sampling variance under/overestimated under different assumptions? Does method A provide better properties than method B in terms of bias, precision, and so on? Is the size of a test correct (achieving nominal level of coverage under the null hypothesis)? Is the power of a test larger than for other tests?

All these questions can be answered by statistical simulation. Some of these questions have already been answered in Chapter 6, Probability Theory Shown by Simulation where the concept of bias, large numbers, and the central limit theorem was shown by simulation. We also saw Monte Carlo-based estimation of confidence intervals in Chapter 7, Resampling Methods (with the bootstrap, for example), and we have already discussed in detail the Monte-Carlo approach to testing in Chapter 8.

This chapter enhances previous chapters by introducing more...