Statistics in Spectroscopy

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Academic Press, Dec 2, 2012 - Science - 313 pages
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This tutorial offers a basic hands-on approach to statistical analysis for chemists and spectroscopists. Without involving complicated mathematics, this book is designed to provide the reader with the basic principles underlying the use of common mathematical and statistical tools. Particular emphasis has been given to problem-solving applications and the proper use and interpretation of spectroscopic data. With exercises throughout, this book is also suitable for use as a textbook in analytical chemistry, instrumental analysis, and statistics in chemistry courses.

Key Features
* Serves as a primer for all chemists who need to know more about statistical analysis
* Explains the effect of error on data and how to make the correct interpretation
* Written in a readable style with minimal mathematics
* Developed from the popular series of the same name first published in Spectroscropy magazine
 

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Contents

Chapter 1 INTRODUCTION WHY THIS BOOK?
1
Chapter 2 IMPORTANT CONCEPTS FROM PROBABILITY THEORY
7
THE MEANING OF STATISTICS
17
Chapter 4 DEGREES OF FREEDOM
25
Chapter 5 INTRODUCTION TO DISTRIBUTIONS AND PROBABILITY SAMPLING
35
Chapter 6 THE NORMAL DISTRIBUTION
45
Chapter 7 ALTERNATIVE WAYS TO CALCULATE STANDARD DEVIATION
57
Chapter 8 THE CENTRAL LIMIT THEOREM
69
Chapter 21 HOW TO COUNT
169
Chapter 22 AND STILL COUNTING
175
Chapter 23 CONTINGENCY TABLES
181
Chapter 24 WHAT DO YOU MEAN RANDOM?
189
Chapter 25 THE F STATISTIC
199
INTRODUCTION TO ANALYSIS OF VARIANCE
207
Chapter 27 ANALYSIS OF VARIANCE AND STATISTICAL DESIGN OF EXPERIMENTS
217
Chapter 28 CROSSED AND NESTED EXPERIMENTS
229

Chapter 9 SYNTHESIS OF VARIANCE
79
Chapter 10 WHERE ARE WE AND WHERE ARE WE GOING?
87
Chapter 11 MORE AND DIFFERENT STATISTICS
93
Chapter 12 THE T STATISTIC
103
Chapter 13 DISTRIBUTION OF MEANS
113
Chapter 14 ONE AND TWOTAILED TESTS
121
Chapter 15 PHILOSOPHICAL INTERLUDE
131
Chapter 16 BIASED AND UNBIASED ESTIMATORS
135
Chapter 17 THE VARIANCE OF VARIANCE
141
Chapter 18 HYPOTHESIS TESTING OF CHISQUARE
149
Chapter 19 MORE HYPOTHESIS TESTING
155
Chapter 20 STATISTICAL INFERENCES
161
Chapter 29 MISCELLANEOUS CONSIDERATIONS REGARDING ANALYSIS OF VARIANCE
239
Chapter 30 PITFALLS OF STATISTICS
247
Chapter 31 PITFALLS OF STATISTICS CONTINUED
255
Chapter 32 CALIBRATION IN SPECTROSCOPY
263
LINEAR REGRESSION AS A STATISTICAL TECHNIQUE
271
ERROR SOURCES IN CALIBRATION
277
SELECTING THE CALIBRATION SAMPLES
283
DEVELOPING THE CALIBRATION MODEL
287
AUXILIARY STATISTICS FOR THE CALIBRATION MODEL
293
Chapter 38 THE BEGINNING
303
Index
309
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About the author (2012)

Howard Mark is President of Mark Electronics, Suffern, New York. He was previously affiliated as a Senior Scientist at Technicon Instrument Corp. in Tarry town, New York. He holds a B.S. degree from City College of New York, an M.A. from City University of New York, and a PhD from New York University. His professional interests include instrument development, especially for spectroscopy; statistical and chemometric data analysis; and Custom software development, especially for implementation of data analysis algorithms. He received the 2003 Eastern Analytical Symposium Award for Achievement in Near Infrared Spectroscopy. He holds 6 U.S patents and has published 2 books and numerous book chapters. He has acted as Associate editor for the Handbook of Vibrational Spectroscopy, Wiley (2001). He has served as Past president of Council for Near-Infrared Spectroscopy (CNIRS), Treasurer of the New York section of the Society for Applied Spectroscopy, and as Past Chair of the New York section of the Society for Applied Spectroscopy. In addition he acts as Contributing editor and member of the Editorial Advisory Board of Spectroscopy. He has published over 150 peer-reviewed papers dealing with design and development of scientific instrumentation, new concepts in computerized instrumentation and data analysis.

Jerry Workman, Jr. is Chief Technical Officer and Vice President of Research

& Engineering at Argose Inc., Waltham, MA. In his career, Workman has

focused on molecular and electronic spectroscopy and chemometrics. He has

published over 200 scientific papers, 7 text volumes, and over 20 patents,

patents pending, and trade secrets. He received the B. A. degree in natural

sciences and M. A. degree in biological sciences and genetics from Saint

Mary's University of Minnesota, and the Ph.D. degree in biological chemistry

from Columbia Pacific University. He has completed technical management

certificates from Columbia University and MIT. He is a Fellow of the

American Institute of Chemists, the American Society for Testing and

Materials International, and the Royal Society of Chemistry. In 2002 he was

the recipient of the ASTM International Award of Merit; IBC International

Scientist of the Year; and the Eastern Analytical Symposium Award for

Outstanding Achievements in the Field of Near Infrared Spectroscopy.

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