
- 313 pages
- English
- PDF
- Available on iOS & Android
Statistics in Spectroscopy
About this book
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.- 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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Information
Table of contents
- Front Cover
- Statistics in Spectroscopy
- Copyright Page
- Table of Contents
- Preface
- 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 DISTRIBUTIONS 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 STATISTIC
- 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 STATISTICS
- Chapter 31. PITFALLS OF STATISTICS 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
- Index