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Uncertainty, Variability and Weight of Evidence:
How Well Do We Know Environmental Risks?
Glenn Suter
U.S. Environmental Protection Agency
EFSA Scientific Conference, Milan, Italy
The views expressed in this presentation are those of the author and do not necessarily represent the views or policies of the U.S. Environmental Protection Agency
What do decision makers & stakeholders need? • Qualitative information
• Does this chemical cause cancer?
• Is this ecosystem impaired?
• What is the cause of observed effects?
• Quantitative information • What concentration is protective?
• How much salmon habitat would be lost?
• How long will natural remediation require?
• Confidence in both
What is Confidence?
What is Scatter? Anything expressed as a numerical distribution • Variability
• natural variation in some quantity • Cannot be reduced
• Uncertainty • Incomplete or imprecise data • Can be reduced
• Degree of belief • Subsumes variability and uncertainty for subjectivists • If you were betting on the teratogenicity of a chemical in use,
What odds would you accept?
This is statistics—controversial but familiar
What is weight of evidence?
• Metaphor based on the scales of justice
• The influence evidence should have on an inference • The weight of a piece of evidence dropped in a pan
• A summary interpretation of multiple pieces of evidence • The weight of the body of evidence in one pan relative to the other
• An inferential approach that uses this concept • Often simply an expert narrative
• We are trying to make it more formal, transparent and defensible
How do we weigh evidence?
Assemble Evidence
Evaluate and Weight Evidence
Integrate and Weigh Body of
Evidence
Assembling evidence
Assemble Evidence
Screen
Design and Conduct Studies
Search Literature
Extract and Analyze
Categorize
Weight Evidence
Weigh Body of Evidence
Assembling evidence
Assemble Evidence
Screen
Design and Conduct Studies
Search Literature
Extract and Analyze
Categorize
Weight Evidence
Weigh Body of Evidence
Systematic Review thorough and unbiased
Assembling evidence
Assemble Evidence
Screen
Design and Conduct Studies
Search Literature
Extract and Analyze
Categorize
Weight Evidence
Weigh Body of Evidence
Systematic Review Complement existing evidence to create a coherent body of evidence
Assembling evidence
Assemble Evidence
Screen
Design and Conduct Studies
Search Literature
Extract and Analyze
Categorize
Weight Evidence
Weigh Body of Evidence
Systematic Review Complement existing Evidence to create a coherent body of evidence
Eliminate irrelevant and unacceptable studies
Assembling evidence
Assemble Evidence
Screen
Design and Conduct Studies
Search Literature
Extract and Analyze
Categorize
Weight Evidence
Weigh Body of Evidence
Systematic Review Complement existing Evidence to create a coherent body of evidence
Eliminate irrelevant and unacceptable studies Put the studies in bins
that may be treated as a type of evidence
Assembling evidence
Assemble Evidence
Screen
Design and Conduct Studies
Search Literature
Extract and Analyze
Categorize
Weight Evidence
Weigh Body of Evidence
Systematic Review Complement existing evidence to create a coherent body of evidence
Eliminate irrelevant and unacceptable studies Put the studies in bins
that may be treated as a type of evidence Extract the data,
reanalyze, and combine with other information to create evidence
Weighting evidence
Weight Evidence
Combine Weights
Weight Reliability
Weight Relevance
Weight Strength
Assemble Evidence
Weigh Body of Evidence
Evaluate with respect to 3 attributes and assign scores
Weighting evidence
Weight Evidence
Combine Weights
Weight Reliability
Weight Relevance
Weight Strength
Assemble Evidence
Weigh Body of Evidence
Evaluate with respect to 3 attributes and assign scores
Combine into weight of piece or type of evidence
Weighing bodies of evidence
Weigh Body of Evidence
Interpret Bodies of Evidence
Explain Ambiguities & Discrepancies
Integrate Pieces or Categories of Evidence
Weight Evidence
Assemble Evidence
Determine the overall weight of the body of evidence based on the weights of pieces, or types of evidence and consistency
Weighing bodies of evidence
Weigh Body of Evidence
Interpret Bodies of Evidence
Explain Ambiguities & Discrepancies
Integrate Pieces or Categories of Evidence
Weight Evidence
Assemble Evidence
Which, if any, hypothesis is supported by the weight of evidence and with how much weight?
Determine the overall weight of the body of evidence based on the weights of pieces, or types of evidence and consistency
Weighing bodies of evidence
Weigh Body of Evidence
Interpret Bodies of Evidence
Explain Ambiguities & Discrepancies
Integrate Pieces or Categories of Evidence
Weight Evidence
Assemble Evidence
Which, if any, hypothesis is supported by the weight of evidence and with how much weight?
Determine the overall weight of the body of evidence based on the weights of pieces, or types of evidence and consistency
Deal with cases in which the evidence does not support any hypothesis
Expressing qualitative results
• Example Conclusion The chemical is a vertebrate teratogen
• Example Weight High relevance
Moderate strength
Moderate reliability
High consistency
Linking qualitative to quantitative results
Summary of previous multicolored boxes
Weigh Evidence for the
Quality to be Quantified
Merge Quantitative
Evidence
Choose Best Quantitative
Evidence
Define Confidence in Quantitative
Evidence
Linking qualitative to quantitative results
Weighted mean or other meta-analysis
Summary of previous multicolored boxes
Weigh Evidence for the
Quality to be Quantified
Merge Quantitative
Evidence
Choose Best Quantitative
Evidence
Define Confidence in Quantitative
Evidence
Linking qualitative to quantitative results
Weighted mean or other meta-analysis
Weigh evidence to choose best source of the quantity
Summary of previous multicolored boxes
Weigh Evidence for the
Quality to be Quantified
Merge Quantitative
Evidence
Choose Best Quantitative
Evidence
Define Confidence in Quantitative
Evidence
Linking qualitative to quantitative results
Weighted mean or other meta-analysis
Weigh evidence to choose best source of the quantity
Integrate results
Summary of previous multicolored boxes
Weigh Evidence for the
Quality to be Quantified
Merge Quantitative
Evidence
Choose Best Quantitative
Evidence
Define Confidence in Quantitative
Evidence
Expressing quantitative results
• Quality Protection from deformities
• Number 22
• Units mg/L
• Scatter ± 3
• Weight Moderate
Each has supporting information and detail, but this is the basic information
(tip of the hat to Ravetz and Funtowicz’s NUSAP system)
Summary
• Formal weighing of evidence can • Provide greater utility of results
• Increase defensibility
• Increase transparency
• With flexibility and adaption to purpose,
• WoE need not be onerous
• In combination with conventional statistics
• WoE can convey confidence in results
The views expressed in this presentation are those of the author and do not necessarily represent the views or policies of the U.S. Environmental Protection Agency