Buch, Englisch, 368 Seiten, Format (B × H): 155 mm x 236 mm, Gewicht: 680 g
Buch, Englisch, 368 Seiten, Format (B × H): 155 mm x 236 mm, Gewicht: 680 g
ISBN: 978-1-119-18897-1
Verlag: Wiley
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
Autoren/Hrsg.
Weitere Infos & Material
Preface xv
Acknowledgment xix
About the Companion Website xx
1 Background 1
1.1 Introduction 1
1.2 A Short List of Detection Limit References 2
1.3 An Extremely Brief History of Limits of Detection 2
1.4 An Obstruction 3
1.5 An Even Bigger Obstruction 3
1.6 What Went Wrong? 4
1.7 Chapter Highlights 5
References 5
2 Chemical Measurement Systems and their Errors 9
2.1 Introduction 9
2.2 Chemical Measurement Systems 9
2.3 The Ideal CMS 10
2.4 CMS Output Distributions 12
2.5 Response Function Possibilities 12
2.6 Nonideal CMSs 15
2.7 Systematic Error Types 15
2.7.1 What Is Fundamental Systematic Error? 16
2.7.2 Why Is an Ideal Measurement System Physically Impossible? 16
2.8 Real CMSs, Part 1 17
2.8.1 A Simple Example 18
2.9 Random Error 19
2.10 Real CMSs, Part 2 21
2.11 Measurements and PDFs 22
2.11.1 Several Examples of Compound Measurements 22
2.12 Statistics to the Rescue 23
2.13 Chapter Highlights 24
References 24
3 The Response, Net Response, and Content Domains 25
3.1 Introduction 25
3.2 What is the Blank’s Response Domain Location? 27
3.3 False Positives and False Negatives 28
3.4 Net Response Domain 29
3.5 Blank Subtraction 29
3.6 Why Bother with Net Responses? 31
3.7 Content Domain and Two Fallacies 31
3.8 Can an Absolute Standard Truly Exist? 33
3.9 Chapter Highlights 34
References 34
4 Traditional Limits of Detection 37
4.1 Introduction 37
4.2 The Decision Level 37
4.3 False Positives Again 38
4.4 Do False Negatives Really Matter? 40
4.5 False Negatives Again 40
4.6 Decision Level Determination Without a Calibration Curve 41
4.7 Net Response Domain Again 41
4.8 An Oversimplified Derivation of the Traditional Detection Limit, XDC 42
4.9 Oversimplifications Cause Problems 43
4.10 Chapter Highlights 43
References 43
5 Modern Limits of Detection 45
5.1 Introduction 45
5.2 Currie Detection Limits 46
5.3 Why were p and q Each Arbitrarily Defined as 0.05? 48
5.4 Detection Limit Determination Without Calibration Curves 49
5.5 A Nonparametric Detection Limit Bracketing Experiment 49
5.6 Is There a Parametric Improvement? 51
5.7 Critical Nexus 52
5.8 Chapter Highlights 53
References 53
6 Receiver Operating Characteristics 55
6.1 Introduction 55
6.2 ROC Basics 55
6.3 Constructing ROCs 57
6.4 ROCs for Figs 5.3 and 5.4 59
6.5 A Few Experimental ROC Results 60
6.6 Since ROCs may Work Well, Why Bother with Anything Else? 64
6.7 Chapter Highlights 65
References 65
7 Statistics of an Ideal Model CMS 67
7.1 Introduction 67
7.2 The Ideal CMS 67
7.3 Currie Decision Levels in all Three Domains 70
7.4 Currie Detection Limits in all Three Domains 71
7.5 Graphical Illustrations of eqns 7.3–7.8 72
7.6 An Example: are Negative Content Domain Values Legitimate? 74
7.7 Tabular Summary of the Equations 76
7.8 Monte Carlo Computer Simulations 77
7.9 Simulation Corroboration of the Equations in Table 7.2 78
7.10 Central Confidence Intervals for Predicted x Values 80
7.11 Chapter Highlights 81
References 81
8 If Only the True Intercept is Unknown 83
8.1 Introduction 83
8.2 Assumptions 83
8.3 Noise Effect of Estimating the True Intercept 83
8.4 A Simple Simulation in the Response and NET Response Domains 84
8.5 Response Domain Effects of Replacing the True Intercept by an Estimate 86
8.6 Response Domain Currie Decision Level and Detection Limit 88
8.7 NET Response Domain Currie Decision Level and Detection Limit 88
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