Statistical aspects of the microbiological examination of foods / Basil Jarvis. — 2nd ed. — Amsterdam ; Oxford : Academic, c2008. – (83.036/J38/2nd ed.) |
Contents
CONTENTS
LIST OF TABLES
LIST OF FIGURES
LIST OF EXAMPLES
PREFACE
1 Introduction
2 Some Basic Statistical Concepts
Populations
Lots and Samples
Average Sample Populations
Statistics and Parameters
Variance and Error
The Central Limit Theorem
References
3 Frequency Distributions
Types of Frequency Distribution
Statistical Probability
The Binomial Distribution
The Normal Distribution
The Poisson Distribution
The Negative Binomial Distribution
Relationship Between the Frequency Distributions
Transformations
References
4 The Distribution of Microorganisms in Foods in Relation to Sampling
Random Distribution
Regular Distribution
Contagious (Heterogeneous) Distributions
Effects of Sample Size
References
5 Statistical Aspects of Sampling for Microbiological Analysis
Attributes and Variables Sampling
Binomial and Trinomial Distributions
Accuracy of the Sample Estimate
Acceptance Sampling by Attributes
Acceptance Sampling by Variables
References
6 Errors in the Preparation of Laboratory Samples for Analysis
Laboratory Sampling Errors
Diluent Volume Errors
Pipette Volume Errors
Other Sources of Error
Calculation of the Relative Dilution Error
Effects of Gross Dilution Series Errors on the Derived Colony Count
References
7 Errors Associated with Colony Count Procedures
Specific Technical Errors
Pipetting and Distribution Errors
Limiting Precision and Confidence Limits of the Colony Count
General Technical Errors
Comparability of Colony Count Methods
Overall Error of Colony Count Methods
References
8 Errors Associated with Quantal Response Methods
Dilution Series and Most Probable Number counts
Multiple Test Dilution Series
Quantification Based on Relative Prevalence of Defectives
Some Statistical Aspects of Multi-stage Tests
References
9 Statistical Considerations of Other Methods in Quantitative Microbiology
Direct Microscopic Methods
Indirect Methods
References
10 Measurement Uncertainty in Microbiological Analysis
Accuracy and Precision
Measurement Uncertainty
How is Uncertainty Estimated?
Reporting of Uncertainty
Sampling Uncertainty
The Use of Uncertainty Measures in Assessing Compliance
References
11 Estimation of Measurement Uncertainty
The 'Generalized Uncertainty Method' (GUM) or Bottom-Up Procedure
The Top-Down Approach to Estimation of Uncertainty
Analysis of Variance (ANOVA)
Robust methods of ANOVA
Measurement of Intermediate Reproducibility
Estimation of Uncertainty Associated with Quantal Methods
References
12 Statistical Process Control (SPC) using Microbiological Data
What is SPC?
Trend Analysis
Tools for SPC
Setting Control Limits
Shewhart's Control Charts for Variables Data
Conclusion
References
13 Validation of Microbiological Methods For Food (Dr Sharon Brunelle, Brunelle Biotech Consulting, Technical Consultant to AOAC International and AOAC Research Institute, Woodinville, WA, USA)
The Stages of Method Development
What is Validation?
Future Directions
References
14 Risk Assessment, Food Safety Objectives and Microbiological Criteria for Foods
Food Safety Objectives and Risk Assessment
Microbiological Criteria
The Relevance of Microbial Measurement Uncertainty to Microbiological Criteria
Conclusion
References
INDEX