Limits of Detection in Chemical Analysis
Chemical Analysis: A Series of Monographs on Analytical Chemistry and Its Applications
1. Edition May 2017
368 Pages, Hardcover
Wiley & Sons Ltd
ISBN:
978-1-119-18897-1
John Wiley & Sons
Details methods for computing valid limits of detection.
* Clearly explains analytical detection limit theory, thereby mitigating incorrect detection limit concepts, methodologies and results
* Extensive use of computer simulations that are freely available to readers
* Curated short-list of important references for limits of detection
* Videos, screencasts, and animations are provided at an associated website, to enhance understanding
* Illustrated, with many detailed examples and cogent explanations
Chapter 1: Background
Chapter 2: Chemical measurement systems and their errors
Chapter 3: The response, net response and content domains
Chapter 4: Traditional limits of detection
Chapter 5: Modern limits of detection
Chapter 6: Receiver operating characteristics
Chapter 7: Statistics of an ideal model CMS
Chapter 8: If only the true intercept is unknown
Chapter 9: If only the true slope is unknown
Chapter 10: If the true intercept and true slope are both unknown
Chapter 11: If only the population standard deviation is unknown
Chapter 12: If only the true slope is known
Chapter 13: If only the true intercept is known
Chapter 14: If all three parameters are unknown
Chapter 15: Bootstrapped detection limits in a real CMS
Chapter 16: Four relevant considerations
Chapter 17: Neyman-Pearson hypothesis testing
Chapter 18: Heteroscedastic noises
Chapter 19: Limits of quantitation
Chapter 20: The sampled step function
Chapter 21: The sampled rectangular pulse
Chapter 22: The sampled triangular pulse
Chapter 23: The sampled Gaussian pulse
Chapter 24: Parting considerations
Appendix A: Statistical bare necessities
Appendix B: An extremely short LightStone® simulation tutorial
Appendix C: Blank referencing and the 1/2 factor
Appendix D: Probability density functions for detection limits
Appendix E: The Hubaux and Vos method
Index
Chapter 2: Chemical measurement systems and their errors
Chapter 3: The response, net response and content domains
Chapter 4: Traditional limits of detection
Chapter 5: Modern limits of detection
Chapter 6: Receiver operating characteristics
Chapter 7: Statistics of an ideal model CMS
Chapter 8: If only the true intercept is unknown
Chapter 9: If only the true slope is unknown
Chapter 10: If the true intercept and true slope are both unknown
Chapter 11: If only the population standard deviation is unknown
Chapter 12: If only the true slope is known
Chapter 13: If only the true intercept is known
Chapter 14: If all three parameters are unknown
Chapter 15: Bootstrapped detection limits in a real CMS
Chapter 16: Four relevant considerations
Chapter 17: Neyman-Pearson hypothesis testing
Chapter 18: Heteroscedastic noises
Chapter 19: Limits of quantitation
Chapter 20: The sampled step function
Chapter 21: The sampled rectangular pulse
Chapter 22: The sampled triangular pulse
Chapter 23: The sampled Gaussian pulse
Chapter 24: Parting considerations
Appendix A: Statistical bare necessities
Appendix B: An extremely short LightStone® simulation tutorial
Appendix C: Blank referencing and the 1/2 factor
Appendix D: Probability density functions for detection limits
Appendix E: The Hubaux and Vos method
Index
Edward Voigtman is emeritus professor of chemistry at the University of Massachusetts - Amherst, having retired after 29 years as a faculty member. His interests include ultrasensitive detection techniques, applications of signal/noise theory, optical calculus-based computer simulation of spectrometric systems and analytical detection limit theory and practice.
