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Data Analysis

Statistical and Computational Methods for Scientists and Engineers

  • Siegmund Brandt

Table of contents

  1. Front Matter
    Pages i-xxxiv
  2. Siegmund Brandt
    Pages 1-6
  3. Siegmund Brandt
    Pages 7-16
  4. Siegmund Brandt
    Pages 17-48
  5. Siegmund Brandt
    Pages 87-132
  6. Siegmund Brandt
    Pages 133-186
  7. Siegmund Brandt
    Pages 187-211
  8. Siegmund Brandt
    Pages 212-247
  9. Siegmund Brandt
    Pages 248-331
  10. Siegmund Brandt
    Pages 332-395
  11. Siegmund Brandt
    Pages 396-412
  12. Siegmund Brandt
    Pages 413-426
  13. Siegmund Brandt
    Pages 427-440
  14. Back Matter
    Pages 441-652

About this book

Introduction

1. 1 Typical Problems of Data Analysis Every branch of experimental science, after passing through an early stage of qualitative description, concerns itself with quantitative studies of the phe­ nomena of interest, i. e. , measurements. In addition to designing and carrying out the experiment, an importal1t task is the accurate evaluation and complete exploitation of the data obtained. Let us list a few typical problems. 1. A study is made of the weight of laboratory animals under the influence of various drugs. After the application of drug A to 25 animals, an average increase of 5 % is observed. Drug B, used on 10 animals, yields a 3 % increase. Is drug A more effective? The averages 5 % and 3 % give practically no answer to this question, since the lower value may have been caused by a single animal that lost weight for some unrelated reason. One must therefore study the distribution of individual weights and their spread around the average value. Moreover, one has to decide whether the number of test animals used will enable one to differentiate with a certain accuracy between the effects of the two drugs. 2. In experiments on crystal growth it is essential to maintain exactly the ratios of the different components. From a total of 500 crystals, a sample of 20 is selected and analyzed.

Keywords

Analysis of variance Experiment Monte Carlo method Normal distribution Random variable algorithms data analysis

Authors and affiliations

  • Siegmund Brandt
    • 1
  1. 1.Physics DepartmentUniversity of SiegenSiegenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1446-5
  • Copyright Information Springer-Verlag New York Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7147-5
  • Online ISBN 978-1-4612-1446-5
  • Buy this book on publisher's site