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

Summary


From this chapter we learned that the bootstrap can be applied to almost any complex problem, but we also learned that the bootstrap must be adapted for each complex problem. For regression analysis this was done by sampling from residuals instead of the whole data matrix. For times series analysis, the modification of the bootstrap was done by splitting the time series in blocks and resampling within blocks.

We also saw that uncertainty and proper variances can be estimated for data including missing values. This has huge advantages whenever multiple imputation cannot be applied for logistic reasons in a company or organization.

The bootstrap was also applied to complex survey samples drawn with complex survey designs. Here we defined the calibrated bootstrap to adequately estimate the variance of a statistic.

Monte Carlo tests served as a very general tool for hypothesis testing. Data scientists can make use of them for any statistical test. We did not use any theoretical knowledge...