# Data Analysis

## Statistical and Computational Methods for Scientists and Engineers

• Siegmund Brandt
Textbook

1. Front Matter
Pages i-xxxiv
2. Siegmund Brandt
Pages 1-6
3. Siegmund Brandt
Pages 7-16
4. Siegmund Brandt
Pages 17-48
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Pages 49-86
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Pages 87-132
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Pages 396-412
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Pages 413-426
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Pages 427-440
15. Back Matter
Pages 441-652

### 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
• Print ISBN 978-1-4612-7147-5
• Online ISBN 978-1-4612-1446-5
• Buy this book on publisher's site