Statistics in Spectroscopy


  • Howard Mark, Mark Electronics, Suffern, New York, U.S.A.
  • Jerry Workman, Jr., Argose Incorporated, Waltham, MA, U.S.A

Statistics in Spectroscopy, Second Edition, is an expanded and updated version of the original title. The aim of the book is to bridge the gap between the average chemist/spectroscopist and the study of statistics. The book introduces the novice reader to the ideas and concepts of statistics and uses spectroscopic examples to show how these concepts are applied. Several key statistical concepts are introduced through the use of computer programs.
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All spectroscopists and those involved in statistics and analysis of data, both chemical and biological, especially those in chemistry, statistics, computer science and biology departments. Also relevant to the manufacturing, pharmaceutical, agricultural and textile industries, and all large corporations with analytical chemistry and chemical engineering departments.


Book information

  • Published: November 2003
  • ISBN: 978-0-12-472531-7

Table of Contents


Chapter 1 Introduction: Why this Book?

Chapter 2 Important Concepts from Probability Theory

Chapter 3 Populations and Samples: The Meaning of "Statistics"

Chapter 4 Degrees of Freedom

Chapter 5 Introduction to Distributors and Probability Sampling

Chapter 6 The Normal Distribution

Chapter 7 Alternative Ways to Calculate Standard Deviation

Chapter 8 The Central Limit Theorem

Chapter 9 Synthesis of Variance

Chapter 10 Where are we and Where are we Going?

Chapter 11 More and Different Statistics

Chapter 12 The T Statistic

Chapter 13 Distribution of Means

Chapter 14 One-and Two-Tailed Tests

Chapter 15 Philosophical Interlude

Chapter 16 Biased and Unbiased Estimators

Chapter 17 The Variance of Variance

Chapter 18 Hypothesis Testing of Chi-Square

Chapter 19 More Hypothesis Testing

Chapter 20 Statistical Inferences

Chapter 21 How to Count

Chapter 22 And Still Counting

Chapter 23 Contingency Tables

Chapter 24 What do you Mean: Random?

Chapter 25 The F Statistics

Chapter 26 Precision and Accuracy: Introduction to Analysis of Variance

Chapter 27 Analysis of Variance and Statistical Design of Experiments

Chapter 28 Crossed and Nested Experiments

Chapter 29 Miscellaneous Considerations Regarding Analysis of Variance

Chapter 30 Pitfalls of Statistic

Chapter 31 Pitfalls of Statistic Continued

Chapter 32 Calibration in Spectroscopy

Chapter 33 Calibration: Linear Regression as a Statistical Technique

Chapter 34 Calibration: Error Sources in Calibration

Chapter 35 Calibration: Selecting the Calibration Samples

Chapter 36 Calibration: Developing the Calibration Model

Chapter 37 Calibration: Auxiliary Statistics for the Calibration Model

Chapter 38 The Beginning