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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?
โ€ข Qualitative information
โ€ข Does this chemical cause cancer?
โ€ข Is this ecosystem impaired?
โ€ข What is the cause of observed effects?
โ€ข Quantitative information
โ€ข What concentration is protective?
โ€ข How much salmon habitat would be lost?
โ€ข How long will natural remediation require?
โ€ข Confidence in both
What is Confidence?
What is Scatter?
Anything expressed as a numerical distribution
โ€ข Variability
โ€ข natural variation in some quantity
โ€ข Cannot be reduced
โ€ข Uncertainty
โ€ข Incomplete or imprecise data
โ€ข Can be reduced
โ€ข Degree of belief
โ€ข Subsumes variability and uncertainty for subjectivists
โ€ข If you were betting on the teratogenicity of a chemical in use,
What odds would you accept?
This is statisticsโ€”controversial but familiar
What is weight of evidence?
โ€ข Metaphor based on the scales of justice
โ€ข The influence evidence should have on an inference
โ€ข The weight of a piece of evidence dropped in a pan
โ€ข A summary interpretation of multiple pieces of evidence
โ€ข The weight of the body of evidence in one pan relative to the other
โ€ข An inferential approach that uses this concept
โ€ข Often simply an expert narrative
โ€ข 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 evidenceExtract 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
โ€ข Example Conclusion The chemical is a vertebrate teratogen
โ€ข 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
โ€ข Quality Protection from deformities
โ€ข Number 22
โ€ข Units mg/L
โ€ข Scatter ยฑ 3
โ€ข Weight Moderate
Each has supporting information and detail, but this is the basic information
(tip of the hat to Ravetz and Funtowiczโ€™s NUSAP system)
Summary
โ€ข Formal weighing of evidence can
โ€ข Provide greater utility of results
โ€ข Increase defensibility
โ€ข Increase transparency
โ€ข With flexibility and adaption to purpose,
โ€ข WoE need not be onerous
โ€ข In combination with conventional statistics
โ€ข 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

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Uncertainty, variability and weight of evidence

  • 1. 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
  • 2. What do decision makers & stakeholders need? โ€ข Qualitative information โ€ข Does this chemical cause cancer? โ€ข Is this ecosystem impaired? โ€ข What is the cause of observed effects? โ€ข Quantitative information โ€ข What concentration is protective? โ€ข How much salmon habitat would be lost? โ€ข How long will natural remediation require? โ€ข Confidence in both
  • 4. What is Scatter? Anything expressed as a numerical distribution โ€ข Variability โ€ข natural variation in some quantity โ€ข Cannot be reduced โ€ข Uncertainty โ€ข Incomplete or imprecise data โ€ข Can be reduced โ€ข Degree of belief โ€ข Subsumes variability and uncertainty for subjectivists โ€ข If you were betting on the teratogenicity of a chemical in use, What odds would you accept? This is statisticsโ€”controversial but familiar
  • 5. What is weight of evidence? โ€ข Metaphor based on the scales of justice โ€ข The influence evidence should have on an inference โ€ข The weight of a piece of evidence dropped in a pan โ€ข A summary interpretation of multiple pieces of evidence โ€ข The weight of the body of evidence in one pan relative to the other โ€ข An inferential approach that uses this concept โ€ข Often simply an expert narrative โ€ข We are trying to make it more formal, transparent and defensible
  • 6. How do we weigh evidence? Assemble Evidence Evaluate and Weight Evidence Integrate and Weigh Body of Evidence
  • 7. Assembling evidence Assemble Evidence Screen Design and Conduct Studies Search Literature Extract and Analyze Categorize Weight Evidence Weigh Body of Evidence
  • 8. 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
  • 9. 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
  • 10. 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
  • 11. 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
  • 12. 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 evidenceExtract the data, reanalyze, and combine with other information to create evidence
  • 13. 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
  • 14. 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
  • 15. 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
  • 16. 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
  • 17. 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
  • 18. Expressing qualitative results โ€ข Example Conclusion The chemical is a vertebrate teratogen โ€ข Example Weight High relevance Moderate strength Moderate reliability High consistency
  • 19. 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
  • 20. 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
  • 21. 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
  • 22. 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
  • 23. Expressing quantitative results โ€ข Quality Protection from deformities โ€ข Number 22 โ€ข Units mg/L โ€ข Scatter ยฑ 3 โ€ข Weight Moderate Each has supporting information and detail, but this is the basic information (tip of the hat to Ravetz and Funtowiczโ€™s NUSAP system)
  • 24. Summary โ€ข Formal weighing of evidence can โ€ข Provide greater utility of results โ€ข Increase defensibility โ€ข Increase transparency โ€ข With flexibility and adaption to purpose, โ€ข WoE need not be onerous โ€ข In combination with conventional statistics โ€ข 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