Statistics in Spectroscopy

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.

Serves as a primer for all chemists who

1. Introduction: Why this Book?
2. Important Concepts from Probability Theory
3. Populations and Samples: The Meaning of "Statistics"
4. Degrees of Freedom
5. Introduction to Distributors and Probability Sampling
6. The Normal Distribution
7. Alternative Ways to Calculate Standard Deviation
8. The Central Limit Theorem
9. Synthesis of Variance
10. Where are we and Where are we Going?
11. More and Different Statistics
12. The T Statistic
13. Distribution of Means
14. One-and Two-Tailed Tests
15. Philosophical Interlude
16. Biased and Unbiased Estimators
17. The Variance of Variance
18. Hypothesis Testing of Chi-Square
19. More Hypothesis Testing
20. Statistical Inferences
21. How to Count
22. And Still Counting
23. Contingency Tables
24. What do you Mean: Random?
25. The F Statistics
26. Precision and Accuracy: Introduction to Analysis of Variance
27. Analysis of Variance and Statistical Design of Experiments
28. Crossed and Nested Experiments
29. Miscellaneous Considerations Regarding Analysis of Variance
30. Pitfalls of Statistic
31. Pitfalls of Statistic Continued
32. Calibration in Spectroscopy
33. Calibration: Linear Regression as a Statistical Technique
34. Calibration: Error Sources in Calibration
35. Calibration: Selecting the Calibration Samples
36. Calibration: Developing the Calibration Model
37. Calibration: Auxiliary Statistics for the Calibration Model
38. The Beginning