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 who1. 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