Data Analysis

Statistical and Computational Methods for Scientists and Engineers

  • Siegmund Brandt

Table of contents

  1. Front Matter
    Pages i-xx
  2. Siegmund Brandt
    Pages 1-6
  3. Siegmund Brandt
    Pages 7-13
  4. Siegmund Brandt
    Pages 15-40
  5. Siegmund Brandt
    Pages 69-108
  6. Siegmund Brandt
    Pages 109-152
  7. Siegmund Brandt
    Pages 153-173
  8. Siegmund Brandt
    Pages 175-207
  9. Siegmund Brandt
    Pages 209-265
  10. Siegmund Brandt
    Pages 267-306
  11. Siegmund Brandt
    Pages 307-319
  12. Siegmund Brandt
    Pages 321-329
  13. Siegmund Brandt
    Pages 331-340
  14. Back Matter
    Pages 341-523

About this book

Introduction

The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory and practical problems. The concise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysis and graphical representation as well as many example programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free download from the book’s page at www.springer.com.

Contents

  • Probabilities. Random variables.
  • Random numbers and the Monte Carlo Method.
  • Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests.
  • Maximum Likelihood. Least Squares. Regression. Minimization.
  • Analysis of Variance. Time series analysis.

Audience

The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists and practitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work.

“The book is concise, but gives a sufficiently rigorous mathematical treatment of practical statistical methods for data analysis; it can be of great use to all who are involved with data analysis.” Physicalia

“This lively and erudite treatise covers the theory of the main statistical tools and their practical applications…a first rate university textbook, and good background material for the practicing physicist.” Physics Bulletin

The Author

Siegmund Brandt is Emeritus Professor of Physics at the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in Hamburg and CERN in Geneva in which the analysis of the experimental data plays an important role. He is author or coauthor of textbooks which have appeared in ten languages.

Keywords

Analysis of Variance Computer-generated Random Numbers Data Analysis Textbook Data Analysis using Java Error Propagation Fundamentals of Data Analysis Graduate-Level Data Analysis Introduction to Statistical Methods Java Programs for Data Analysis Least Squares Linear Regression Matrix Algebra Matrix Calculation Monte Carlo Methods Polynomial Regression Singular-Value Analysis Statistical Distributions Statistical Error Testing Statistical Hypotheses Time Series Analysis

Authors and affiliations

  • Siegmund Brandt
    • 1
  1. 1.Department of PhysicsUniversity of SiegenSiegenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03762-2
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-03761-5
  • Online ISBN 978-3-319-03762-2
  • About this book