Statistics in Spectroscopy

Mark, Howard; Workman, Jr., Jerry

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Table of contents
  • Cover
  • Contentsvii
  • Prefacexi
  • Chapter 1. Introduction: Why This Book?1
  • Chapter 2. Important Concepts from Probability Theory7
  • Chapter 3. Populations and Samples: The Meaning of "Statistics"17
  • Chapter 4. Degrees of Freedom25
  • Chapter 5. Introduction to Distributions and Probability Sampling35
  • Chapter 6. The Normal Distribution47
  • Chapter 7. Alternative Ways to Calculate Standard Deviation59
  • Chapter 8. The Central Limit Theorem71
  • Chapter 9. Synthesis of Variance81
  • Chapter 10. Where Are We and Where Are We Going?91
  • Chapter 11. More and Different Statistics97
  • Chapter 12. The T Statistic107
  • Chapter 13. Distribution of Means117
  • Chapter 14. One- and Two-Tailed Tests125
  • Chapter 15. Philosophical Interlude135
  • Chapter 16. Biased and Unbiased Estimators141
  • Chapter 17. The Variance of Variance147
  • Chapter 18. Hypothesis Testing of Chi-Square155
  • Chapter 19. More Hypothesis Testing161
  • Chapter 20. Statistical Inferences167
  • Chapter 21. How to Count175
  • Chapter 22. And Still Counting181
  • Chapter 23. Contingency Tables187
  • Chapter 24. What Do You Mean: Random?195
  • Chapter 25. The F Statistic205
  • Chapter 26. Precision and Accuracy: Introduction to Analysis of Variance213
  • Chapter 27. Analysis of Variance and Statistical Design of Experiments223
  • Chapter 28. Crossed and Nested Experiments233
  • Chapter 29. Miscellaneous Considerations Regarding Analysis of Variance247
  • Chapter 30. Pitfalls of Statistics255
  • Chapter 31. Pitfalls of Statistics Continued263
  • Chapter 32. Calibration in Spectroscopy271
  • Chapter 33. Calibration: Linear Regression as a Statistical Technique279
  • Chapter 34. Calibration: Error Sources in Calibration287
  • Chapter 35. Calibration: Selecting the Calibration Samples293
  • Chapter 36. Calibration: Developing the Calibration Model297
  • Chapter 37. Calibration: Auxiliary Statistics for the Calibration Model303
  • Chapter 38. The Beginning313
  • Index319
Book details
  • Vendor Elsevier S & T
  • SKU 9780124725317
  • ISBN-13 9780080541754
  • Author Mark, Howard; Workman, Jr., Jerry
  • Edition 2nd
  • Category Science
  • Subject Analytic

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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