| Preface |
|
ix | |
| About the Authors |
|
xi | |
|
|
|
xiii | |
|
Chapter 1 Basic Notions of Statistics |
|
|
1 | (36) |
|
|
|
1 | (1) |
|
1.2 Distributions of Random Variables |
|
|
1 | (2) |
|
1.2.1 Characterization of Distributions |
|
|
1 | (2) |
|
|
|
3 | (2) |
|
1.4 Measures of Dispersion |
|
|
5 | (2) |
|
1.5 Measures of Asymmetry |
|
|
7 | (1) |
|
1.6 Measures of Concentration |
|
|
8 | (1) |
|
1.7 Statistical Hypothesis Testing |
|
|
9 | (1) |
|
|
|
10 | (22) |
|
1.8.1 Confidence Interval Method |
|
|
10 | (3) |
|
1.8.2 Critical Range Method |
|
|
13 | (1) |
|
|
|
14 | (2) |
|
|
|
16 | (1) |
|
|
|
16 | (1) |
|
1.8.6 Hartley's Fmax Test |
|
|
17 | (1) |
|
|
|
18 | (2) |
|
|
|
20 | (1) |
|
|
|
21 | (2) |
|
1.8.10 Cochran--Cox C Test |
|
|
23 | (1) |
|
|
|
24 | (1) |
|
|
|
25 | (1) |
|
|
|
26 | (2) |
|
|
|
28 | (1) |
|
|
|
29 | (1) |
|
|
|
30 | (1) |
|
|
|
30 | (2) |
|
1.8.18 Kolmogorov--Smirnov Test |
|
|
32 | (1) |
|
|
|
32 | (2) |
|
1.10 Significant Digits: Rules of Rounding |
|
|
34 | (3) |
|
|
|
35 | (2) |
|
Chapter 2 Quality of Analytical Results |
|
|
37 | (8) |
|
|
|
37 | (1) |
|
|
|
37 | (1) |
|
2.3 Quality Assurance System |
|
|
38 | (4) |
|
|
|
42 | (3) |
|
|
|
42 | (3) |
|
Chapter 3 Internal Quality Control |
|
|
45 | (20) |
|
|
|
45 | (1) |
|
|
|
45 | (1) |
|
3.3 Quality Control in the Laboratory |
|
|
45 | (2) |
|
|
|
47 | (16) |
|
|
|
47 | (1) |
|
3.4.2 Shewhart Chart Preparation |
|
|
48 | (1) |
|
3.4.3 Shewhart Chart Analysis |
|
|
49 | (6) |
|
3.4.4 Types of Control Charts |
|
|
55 | (7) |
|
|
|
62 | (1) |
|
|
|
63 | (2) |
|
|
|
64 | (1) |
|
|
|
65 | (8) |
|
|
|
65 | (1) |
|
|
|
65 | (2) |
|
4.3 The Role of Traceability in Quality Assurance/Quality Control Systems |
|
|
67 | (4) |
|
|
|
71 | (2) |
|
|
|
72 | (1) |
|
|
|
73 | (20) |
|
|
|
73 | (1) |
|
|
|
74 | (1) |
|
5.3 Methods of Estimating Measurement Uncertainty |
|
|
75 | (8) |
|
5.3.1 Procedure for Estimating the Measurement Uncertainty According to the Guide to the Expression of Uncertainty in Measurement |
|
|
75 | (8) |
|
5.4 Tools Used for Uncertainty Estimation |
|
|
83 | (1) |
|
5.5 Uncertainty and Confidence Interval |
|
|
84 | (2) |
|
5.6 Calibration Uncertainty |
|
|
86 | (4) |
|
|
|
90 | (3) |
|
|
|
90 | (3) |
|
Chapter 6 Reference Materials |
|
|
93 | (28) |
|
|
|
93 | (1) |
|
|
|
93 | (5) |
|
6.3 Parameters that Characterize RMs |
|
|
98 | (3) |
|
6.3.1 General Information |
|
|
98 | (1) |
|
|
|
98 | (1) |
|
|
|
98 | (1) |
|
|
|
99 | (1) |
|
|
|
100 | (1) |
|
6.4 Practical Application of CRMs |
|
|
101 | (16) |
|
|
|
117 | (4) |
|
|
|
118 | (3) |
|
Chapter 7 Interlaboratory Comparisons |
|
|
121 | (36) |
|
|
|
121 | (1) |
|
|
|
121 | (1) |
|
7.3 Classification of Interlaboratory Studies |
|
|
122 | (3) |
|
7.4 Characteristics and Organization of Interlaboratory Comparisons |
|
|
125 | (1) |
|
7.5 The Presentation of Interlaboratory Comparison Results: Statistical Analysis in Interlaboratory Comparisons |
|
|
126 | (28) |
|
7.5.1 Comparisons of Results Obtained Using Various Procedures |
|
|
144 | (4) |
|
7.5.2 Comparison of the Measurement Results Obtained in a Two-Level Study (for Two Samples with Various Analyte Concentrations) |
|
|
148 | (6) |
|
|
|
154 | (3) |
|
|
|
154 | (3) |
|
Chapter 8 Method Validation |
|
|
157 | (90) |
|
|
|
157 | (3) |
|
8.2 Characterization of Validation Parameters |
|
|
160 | (73) |
|
|
|
160 | (2) |
|
8.2.2 Linearity and Calibration |
|
|
162 | (8) |
|
8.2.3 Limit of Detection and Limit of Quantitation |
|
|
170 | (1) |
|
8.2.3.1 Visual Estimation |
|
|
171 | (1) |
|
8.2.3.2 Calculation of LOD Based on the Numerical Value of the S/N Ratio |
|
|
171 | (1) |
|
8.2.3.3 Calculation of LOD Based on Determinations for Blank Samples |
|
|
171 | (1) |
|
|
|
172 | (1) |
|
8.2.3.5 Calculating LOD Based on the Standard Deviation of Signals and the Slope of the Calibration Curve |
|
|
173 | (1) |
|
8.2.3.6 Calculation of LOD Based on a Given LOQ |
|
|
173 | (1) |
|
8.2.3.7 Testing the Correctness of the Determined LOD |
|
|
174 | (13) |
|
|
|
187 | (3) |
|
|
|
190 | (1) |
|
|
|
191 | (2) |
|
8.2.6.1 Manners of Estimating the Standard Deviation |
|
|
193 | (7) |
|
8.2.7 Accuracy and Trueness |
|
|
200 | (1) |
|
8.2.7.1 Measurement Errors |
|
|
201 | (23) |
|
8.2.8 Robustness and Ruggedness |
|
|
224 | (1) |
|
|
|
225 | (8) |
|
|
|
233 | (14) |
|
|
|
243 | (4) |
|
Chapter 9 Method Equivalence |
|
|
247 | (14) |
|
|
|
247 | (1) |
|
9.2 Ways of Equivalence Demonstration |
|
|
247 | (11) |
|
|
|
247 | (6) |
|
9.2.2 Equivalence Testing |
|
|
253 | (3) |
|
9.2.3 Regression Analysis Testing |
|
|
256 | (2) |
|
|
|
258 | (3) |
|
|
|
258 | (3) |
| Appendix |
|
261 | (12) |
| Index |
|
273 | |