
Applications of Reference Materials in Analytical Chemistry
By: Peter Roper, Vicki J Barwick, Shaun Burke, Ron Walker, Richard Lawn
Hardcover | 1 December 2001
At a Glance
160 Pages
24.77 x 16.51 x 1.91
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| Introduction | p. 1 |
| Certified Reference Materials and the VAM Principles | p. 1 |
| Definitions and Hierarchy of Reference Materials | p. 2 |
| Types of Reference Material | p. 4 |
| Uses of Reference Materials in Analytical Chemistry | p. 5 |
| Interpretation of Results Obtained with CRMs | p. 5 |
| Availability of Reference Materials | p. 6 |
| Quality of Certified Reference Materials | p. 6 |
| References | p. 7 |
| CRM Production | p. 8 |
| Assessment of Priority Needs and Confirmation of Demand | p. 8 |
| Literature Search and Project Plan | p. 8 |
| Raw Material Selection and Processing | p. 9 |
| Homogeneity Testing | p. 10 |
| Stability Testing | p. 10 |
| Characterisation | p. 11 |
| Characterisation Using Gravimetric Preparation Data | p. 11 |
| Characterisation Using a Primary (Definitive) Method | p. 12 |
| Characterisation Using Independent Measurement Methods | p. 12 |
| Characterisation by Inter-laboratory Studies | p. 12 |
| Preparation of the Certification Report and Certificate | p. 13 |
| References | p. 14 |
| Simple Statistics for Users of CRMs | p. 15 |
| Rules for Collecting Data from CRMs | p. 15 |
| Concepts of Trueness, Precision and Accuracy | p. 17 |
| Number of Required Replicates | p. 19 |
| Detection of Outliers | p. 20 |
| Assessment of Precision | p. 23 |
| Assessment of Bias | p. 24 |
| Converting Expanded Uncertainties into Standard Uncertainties | p. 25 |
| Using CRMs to Detect other Forms of Bias | p. 25 |
| Some Assumptions Behind Significance Testing | p. 26 |
| t-Tests | p. 27 |
| The F-test | p. 28 |
| Using Statistical Software (What Is a p-Value?) | p. 31 |
| Concepts of Measurement Uncertainty | p. 31 |
| Principles of Least Squares Linear Regression | p. 32 |
| Least Squares Linear Regression Statistics | p. 33 |
| Confidence Intervals | p. 37 |
| Extrapolation and Interpolation | p. 38 |
| Bias, Leverage and Outliers | p. 39 |
| References | p. 40 |
| The Use of CRMs for Instrument Calibration | p. 41 |
| Instrument Calibration | p. 41 |
| Examples of CRMs Used for Instrument Calibration | p. 42 |
| A Note on Terminology | p. 42 |
| Pure Substance with a Documented Purity Value | p. 43 |
| Pure Substance with a Documented Physical Property | p. 43 |
| A Solution of a Substance with a Documented Concentration Value | p. 44 |
| A Solution of a Substance with a Documented Property Value | p. 44 |
| A Mixture of a Substance in a Solid Matrix with a Documented Concentration Value | p. 45 |
| A Mixture of a Substance in a Gaseous Matrix with a Documented Concentration Value | p. 45 |
| Instrument Calibration as Part of the Analytical Process | p. 46 |
| Sample Matrix Effects | p. 46 |
| The Accuracy Required in the Calibration Procedure | p. 47 |
| Choosing a CRM for Use as a Calibration Standard | p. 49 |
| Documentation for the CRM | p. 49 |
| The Magnitude and Uncertainty of the Property Values | p. 50 |
| How the Property Value Is Characterised | p. 51 |
| The Traceability of the Property Value | p. 52 |
| Physical/Chemical Form--Pure Substance or Matrix Material? | p. 53 |
| Storage Requirements and Shelf Life/Expiry Date | p. 55 |
| The Preparation of a Calibration Solution using a CRM | p. 55 |
| Calibration Models | p. 59 |
| Calibration Model 1 | p. 59 |
| Calibration Model 2 | p. 60 |
| Calibration Model 3 | p. 60 |
| Calibration Model 4 | p. 61 |
| Experimental Investigation of the Linear Calibration Model | p. 63 |
| Experimental Conditions | p. 63 |
| Instrument Stability | p. 64 |
| Choice of CRMs | p. 64 |
| Range of Property Values to be Covered | p. 64 |
| Number of Calibration Points to be Obtained | p. 64 |
| Spacing of the Calibration Points | p. 65 |
| Number of Replicate Measurements | p. 65 |
| Treatment of Results | p. 65 |
| Using Linear Regression to Calculate the Calibration Line | p. 67 |
| Combining Calibration Uncertainty with Analytical Uncertainty | p. 71 |
| Assumptions in the Use of Linear Regression | p. 72 |
| Abridged Methods of Calibration | p. 75 |
| Single Point Calibration | p. 75 |
| Two Point Calibration | p. 75 |
| Uncertainty of Single Point and Two Point Calibrations | p. 76 |
| Calibration by Bracketing | p. 77 |
| Matrix Effects and Calibration | p. 77 |
| Sample Dilution | p. 78 |
| Matrix Matching | p. 78 |
| Standard Additions | p. 78 |
| Detection of Non-Linearity | p. 80 |
| References | p. 84 |
| Use of CRMs for Assessing the Accuracy of Analytical Data | p. 85 |
| The Importance of CRMs in Routine Analysis | p. 85 |
| The Selection of Matrix CRMs | p. 86 |
| Documentation for the CRM | p. 86 |
| Physical/Chemical Form | p. 86 |
| Documented Property Values | p. 87 |
| Uncertainty of the Documented Property Values | p. 87 |
| Storage Requirements and Shelf Life/Expiry Date | p. 87 |
| Quantity Taken for Analysis | p. 88 |
| The Number of Different Matrix CRMs to be Used | p. 88 |
| Principles Involved in Assessing the Accuracy of Routine Data | p. 88 |
| What Is Accuracy? | p. 88 |
| Procedures for the Assessment of the Precision of a Measured Result on a Matrix CRM | p. 89 |
| The Rationale for Combining s[subscript b] and s[subscript w] | p. 90 |
| Is the Within-laboratory Precision Acceptable? | p. 91 |
| How Is a Value for the Bias Calculated? | p. 92 |
| Issues Involved in Assessing the Accuracy of Routine Data | p. 94 |
| Should a Result Obtained on a Matrix CRM Lie Within the Uncertainty Range of the Documented Reference Value? | p. 94 |
| When Is the Uncertainty of the CRM Important? | p. 95 |
| What is the Uncertainty of the Bias Estimate? | p. 97 |
| What Is the Bias Detection Limit? | p. 98 |
| Why Is the Bias Detection Limit (3.7[sigma]) Greater than the Acceptability Criterion of 2[sigma]? | p. 101 |
| How May a Fitness-for-Purpose Criterion be Used to Calculate Acceptability Limits? | p. 101 |
| Action to Take When a Bias Is Detected | p. 103 |
| Check the Calibration Standards | p. 103 |
| Check Other Possible Sources of Bias | p. 103 |
| Check the Precision of the Measurements | p. 104 |
| Apply a Correction Factor? | p. 105 |
| References | p. 105 |
| Use of CRMs in Method Validation and Assessing Measurement Uncertainty | p. 106 |
| What Is Method Validation? | p. 106 |
| Why Is Method Validation Necessary? | p. 107 |
| When Do You Validate a Method? | p. 108 |
| How Do You Validate a Method? | p. 108 |
| Method Performance Parameters | p. 109 |
| The Tools of Method Validation | p. 110 |
| The Role of CRMs in Method Validation | p. 111 |
| What is Meant by Method Accuracy, Bias and Trueness? | p. 111 |
| Measuring Bias Against CRMs | p. 112 |
| How Bias Is Normally Expressed | p. 113 |
| Measuring Bias Against a Reference Method | p. 113 |
| Statistical Treatment of Results from a Study of Bias: Comparison with a Certified or Reference Value | p. 114 |
| Statistical Treatment of Results from a Study of Bias: Comparison with a Reference Method | p. 116 |
| Using Bias Information | p. 118 |
| Use of CRMs in Estimating Method Recovery and Measurement Uncertainty | p. 118 |
| Outline of Method for the Determination of Vitamin A and Vitamin E in Infant Formula | p. 119 |
| Precision Study | p. 119 |
| Bias (Recovery) Study and its Associated Uncertainty | p. 120 |
| Estimating R[subscript m] and u(R[subscript m]) Using a Representative CRM | p. 121 |
| Estimating the Contribution of R[subscript m] to u(R) | p. 122 |
| Calculation of R[subscript s] and u(R[subscript s]) from Spiking Studies | p. 124 |
| Calculating R and u(R) | p. 125 |
| Calculation of Combined Standard and Expanded Uncertainties | p. 126 |
| Expanded Uncertainty | p. 128 |
| Summary | p. 130 |
| References | p. 130 |
| List of Reference Material Producers | p. 131 |
| Statistical Tables | p. 136 |
| Subject Index | p. 143 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
ISBN: 9780854044481
ISBN-10: 0854044485
Series: Valid Analytical Measurement
Published: 1st December 2001
Format: Hardcover
Language: English
Number of Pages: 160
Audience: Professional and Scholarly
Publisher: ROYAL SOCIETY OF CHEMISTRY
Country of Publication: GB
Dimensions (cm): 24.77 x 16.51 x 1.91
Weight (kg): 0.4
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