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