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Transforming the cost-effectiveness
threshold into a ‘value threshold’
Initial findings from a simulation model
Mike Paulden and Christopher McCabe
Problem
• The conventional cost-effectiveness (CE) threshold represents
“an estimate of health forgone as other [services] are displaced to
accommodate the additional costs of new technologies”
(Claxton et al. 2013)
• Plotted as a straight line on the CE plane (Drummond et al. 2005)
• Numerous limitations and assumptions:
• Assumes constant marginal returns and divisibility of technologies
• No account for aspects of ‘value’ beyond those considered by the QALY
• Impact of imperfect information is not explicitly considered, nor the
possibility that new interventions represent net disinvestments
• No account for multiple decision makers with conflicting objectives
• Recently, NICE has applied ‘modifiers’ to its baseline threshold to
account for aspects of ‘value’ beyond the QALY (NICE 2009, 2014)
• Resulted in inconsistencies in NICE’s methodology (Paulden et al. 2014)
Objective
• Our objective is to transform the conventional CE threshold
into a ‘value threshold’ of greater use to decision makers
• In doing so we aim to address the limitations previously described
• As a first step we have developed a simulation model in order to
understand how a ‘value threshold’ may differ from a CE threshold
• Of key interest are the implications of:
i. Relaxing conventional assumptions such as constant marginal
returns to scale and perfect divisibility of technologies
ii. Incorporating imperfect information and ‘value’ considerations within
a complex health system with multiple decision makers
iii. Extending the threshold so that it may be used for net disinvestments
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Model schematic
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial
allocator
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
New intervention
Each new intervention represents either
a net investment or net disinvestment
Net investments impose costs on the
health system, requiring that resources
be released from other technologies
Net disinvestments release resources,
allowing these to be spend on other
technologies from the pool
Initial
allocator
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial
allocator
Agent
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Value threshold
Used by the agent to determine
whether or not to recommend
the new intervention
2. The agent recommends
the new intervention if its
expected value exceeds the
agent’s value threshold
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
New intervention
Each new intervention represents either
a net investment or net disinvestment
Net investments impose costs on the
health system, requiring that resources
be released from other technologies
Net disinvestments release resources,
allowing these to be spend on other
technologies from the pool
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial
allocator
Reallocator Agent
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Value threshold
Used by the agent to determine
whether or not to recommend
the new intervention
2. The agent recommends
the new intervention if its
expected value exceeds the
agent’s value threshold
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
New intervention
Each new intervention represents either
a net investment or net disinvestment
Net investments impose costs on the
health system, requiring that resources
be released from other technologies
Net disinvestments release resources,
allowing these to be spend on other
technologies from the pool
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial
allocator
Reallocator Agent
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Value threshold
Used by the agent to determine
whether or not to recommend
the new intervention
3. If the agent recommends a net investment, the reallocator must contract
adopted NE/NW technologies and/or expand non-exhausted SE/SW technologies.
Alternatively, if the agent recommends a net disinvestment, the reallocator may
expand non-exhausted NE technologies and/or contract adopted SW technologies
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Model schematic
2. The agent recommends
the new intervention if its
expected value exceeds the
agent’s value threshold
New intervention
Each new intervention represents either
a net investment or net disinvestment
Net investments impose costs on the
health system, requiring that resources
be released from other technologies
Net disinvestments release resources,
allowing these to be spend on other
technologies from the pool
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial
allocator
Reallocator Agent
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Value threshold
Used by the agent to determine
whether or not to recommend
the new intervention
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Agent’s authority
Agent may have mandate to
consider reallocation and/or an
alternative to the intervention
Model schematic
3. If the agent recommends a net investment, the reallocator must contract
adopted NE/NW technologies and/or expand non-exhausted SE/SW technologies.
Alternatively, if the agent recommends a net disinvestment, the reallocator may
expand non-exhausted NE technologies and/or contract adopted SW technologies
2. The agent recommends
the new intervention if its
expected value exceeds the
agent’s value threshold
New intervention
Each new intervention represents either
a net investment or net disinvestment
Net investments impose costs on the
health system, requiring that resources
be released from other technologies
Net disinvestments release resources,
allowing these to be spend on other
technologies from the pool
Pool of initial technologies
The cost and effectiveness of each
technology is drawn from a distribution
Each technology is randomly assigned a
‘value’ attribute and a specific health
production function ‘shape’ (applies
only if marginal returns are diminishing)
Initial
allocator
Reallocator Agent
Imperfect information
Each decision maker has one of
four levels of information regarding
the effectiveness of technologies:
none, poor, good, or perfect
Other value considerations
Each decision maker assigns one
of four possible weights to ‘value’
considerations beyond the QALY:
none, small, medium, or large
Initial budget
Upon the establishment of the
health system, an initial budget
is assigned for purchasing
technologies from the pool
1. The initial allocator
purchases technologies
from the pool until the
initial budget is exhausted
Value threshold
Used by the agent to determine
whether or not to recommend
the new intervention
4. Prior to making its recommendation, the agent places its own valuations on both the new
intervention and the reallocator’s preferred reallocation. If the agent has the authority to
mandate a reallocation and/or propose an alternative to the new intervention then it also
places a valuation upon this. The optimal value threshold is that which ensures that a new
intervention is only recommended if doing so maximizes the expected value to the agent
Divisibility of technologies
Technologies in the pool are either
all divisible or all indivisible
Marginal returns to scale
Technologies in the pool either all
have constant marginal returns to
scale or all have diminishing
marginal returns to scale
Agent’s authority
Agent may have mandate to
consider reallocation and/or an
alternative to the intervention
Model schematic
3. If the agent recommends a net investment, the reallocator must contract
adopted NE/NW technologies and/or expand non-exhausted SE/SW technologies.
Alternatively, if the agent recommends a net disinvestment, the reallocator may
expand non-exhausted NE technologies and/or contract adopted SW technologies
2. The agent recommends
the new intervention if its
expected value exceeds the
agent’s value threshold
New intervention
Each new intervention represents either
a net investment or net disinvestment
Net investments impose costs on the
health system, requiring that resources
be released from other technologies
Net disinvestments release resources,
allowing these to be spend on other
technologies from the pool
Conventional Assumptions
-$50m
-$40m
-$30m
-$20m
-$10m
$0m
$10m
$20m
$30m
$40m
$50m
-2,000 -1,000 0 1,000 2,000
Expenditureonnewtechnology
Value of new technology (QALY equivalents)
Lower
budget
Higher
budget
Lower
budget
Higher
budget
Threshold
'kinks'
All decision makers have
perfect information
All decision makers place
no weight on other
‘value’ considerations
Technologies are divisible
Technologies exhibit
constant returns to scale
Agent cannot reallocate
-$50m
-$40m
-$30m
-$20m
-$10m
$0m
$10m
$20m
$30m
$40m
$50m
-2,000 -1,000 0 1,000 2,000
Expenditureonnewtechnology
Value of new technology (QALY equivalents)
Lower
budget
Higher
budget
Lower
budget
Higher
budget
All decision makers have
perfect information
All decision makers place
no weight on other
‘value’ considerations
Technologies are divisible
Technologies exhibit
diminishing returns to scale
Agent cannot reallocate
Diminishing Returns to Scale
-$50m
-$40m
-$30m
-$20m
-$10m
$0m
$10m
$20m
$30m
$40m
$50m
-2,000 -1,000 0 1,000 2,000
Expenditureonnewtechnology
Value of new technology (QALY equivalents)
Lower
budget
Higher
budget
Lower
budget
Higher
budget
(overlap)
All decision makers have
perfect information
All decision makers place
no weight on other
‘value’ considerations
Technologies are indivisible
Returns to scale irrelevant if
technologies are indivisible
Agent cannot reallocate
Indivisible Technologies
-$50m
-$40m
-$30m
-$20m
-$10m
$0m
$10m
$20m
$30m
$40m
$50m
-2,000 -1,000 0 1,000 2,000
Expenditureonnewtechnology
Value of new technology (QALY equivalents)
Lower
budget
Higher
budget
Lower
budget Higher
budget
Threshold
'kinks'
Reallocator and agent have
perfect information
and initial allocator has
poor information
Reallocator and agent
place small weight and
initial allocator places
large weight on other
‘value’ considerations
Technologies are divisible
Technologies exhibit
diminishing returns to scale
Agent cannot reallocate
Imperfect Information and
Other ‘Value’ Considerations
-$50m
-$40m
-$30m
-$20m
-$10m
$0m
$10m
$20m
$30m
$40m
$50m
-2,000 -1,000 0 1,000 2,000
Expenditureonnewtechnology
Value of new technology (QALY equivalents)
Lower
budget
Higher
budget
Lower
budget
Higher
budget
Threshold
'kinks'
Initial allocator and agent
have perfect information
and reallocator has
poor information
Initial allocator and agent
place small weight and
reallocator places
large weight on other
‘value’ considerations
Technologies are divisible
Technologies exhibit
diminishing returns to scale
Agent cannot reallocate
-$50m
-$40m
-$30m
-$20m
-$10m
$0m
$10m
$20m
$30m
$40m
$50m
-2,000 -1,000 0 1,000 2,000
Expenditureonnewtechnology
Value of new technology (QALY equivalents)
Lower
budget
Higher
budget
Lower
budget
Higher
budget
Threshold
'kink'
Initial allocator and agent
have perfect information
and reallocator has
poor information
Initial allocator and agent
place small weight and
reallocator places
large weight on other
‘value’ considerations
Technologies are divisible
Technologies exhibit
diminishing returns to scale
Agent can reallocate
Agent Has Authority to Reallocate
Conclusions
• The conventional ‘CE threshold’ model is merely a special case
among many approaches for determining a value threshold
• Departing from this special case allows for consideration of:
• Differences in the information available to, the values held by, and the
objectives pursued by, multiple interacting decision makers
• The specific value characteristics of each technology
• This has potentially significant implications for the appropriate
specification of value thresholds used for decision making
• Our findings provide insights for future theoretical work, as well
as a rich source of potential hypotheses for researchers
conducting empirical research in this area
Questions
1. Why should value considerations be accounted for within the
threshold used for CE analysis? Isn’t it sufficient to simply apply
weights to new technologies or to consider ‘values’ separately?
2. Why might differences in information, values and objectives
across multiple interacting decision makers result in:
a) Different thresholds for net investments and net disinvestments?
b) Thresholds that cross into the SE and NW quadrants of the CE plane?
3. Why is the threshold dependent upon the agent’s authority?
Are there any implications for the recommendations made by
CADTH or for the decisions of Canadian policy makers who
depend upon CADTH’s guidance?
References
• Claxton et al. (2013). Methods for the Estimation of the NICE Cost
Effectiveness Threshold. CHE Research Paper 81. York: University of York.
• Drummond et al. (2005). Methods for the Economic Evaluation of Health
Care Programmes. Third Edition. Oxford: Oxford University Press.
• Sendi et al. (2002). Opportunity costs and uncertainty in the economic
evaluation of health care interventions. Health Economics, 11(1), 23–31.
• National Institute for Health and Care Excellence (2009). Appraising life-
extending, end of life treatments. London: NICE.
• National Institute for Health and Care Excellence (2014). Consultation
Paper: Value Based Assessment of Health Technologies. London: NICE.
• Paulden et al. (2014). Some Inconsistencies in NICE’s Consideration of
Social Values. PharmacoEconomics. November 2014, 32(11), 1043-1053.

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Cadth 2015 a4 15.04.04 workshop mike paulden

  • 1. Transforming the cost-effectiveness threshold into a ‘value threshold’ Initial findings from a simulation model Mike Paulden and Christopher McCabe
  • 2. Problem • The conventional cost-effectiveness (CE) threshold represents “an estimate of health forgone as other [services] are displaced to accommodate the additional costs of new technologies” (Claxton et al. 2013) • Plotted as a straight line on the CE plane (Drummond et al. 2005) • Numerous limitations and assumptions: • Assumes constant marginal returns and divisibility of technologies • No account for aspects of ‘value’ beyond those considered by the QALY • Impact of imperfect information is not explicitly considered, nor the possibility that new interventions represent net disinvestments • No account for multiple decision makers with conflicting objectives • Recently, NICE has applied ‘modifiers’ to its baseline threshold to account for aspects of ‘value’ beyond the QALY (NICE 2009, 2014) • Resulted in inconsistencies in NICE’s methodology (Paulden et al. 2014)
  • 3. Objective • Our objective is to transform the conventional CE threshold into a ‘value threshold’ of greater use to decision makers • In doing so we aim to address the limitations previously described • As a first step we have developed a simulation model in order to understand how a ‘value threshold’ may differ from a CE threshold • Of key interest are the implications of: i. Relaxing conventional assumptions such as constant marginal returns to scale and perfect divisibility of technologies ii. Incorporating imperfect information and ‘value’ considerations within a complex health system with multiple decision makers iii. Extending the threshold so that it may be used for net disinvestments
  • 4. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Model schematic
  • 5. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic
  • 6. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic
  • 7. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial allocator Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic
  • 8. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) New intervention Each new intervention represents either a net investment or net disinvestment Net investments impose costs on the health system, requiring that resources be released from other technologies Net disinvestments release resources, allowing these to be spend on other technologies from the pool Initial allocator Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic
  • 9. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial allocator Agent Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Value threshold Used by the agent to determine whether or not to recommend the new intervention 2. The agent recommends the new intervention if its expected value exceeds the agent’s value threshold Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic New intervention Each new intervention represents either a net investment or net disinvestment Net investments impose costs on the health system, requiring that resources be released from other technologies Net disinvestments release resources, allowing these to be spend on other technologies from the pool
  • 10. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial allocator Reallocator Agent Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Value threshold Used by the agent to determine whether or not to recommend the new intervention 2. The agent recommends the new intervention if its expected value exceeds the agent’s value threshold Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic New intervention Each new intervention represents either a net investment or net disinvestment Net investments impose costs on the health system, requiring that resources be released from other technologies Net disinvestments release resources, allowing these to be spend on other technologies from the pool
  • 11. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial allocator Reallocator Agent Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Value threshold Used by the agent to determine whether or not to recommend the new intervention 3. If the agent recommends a net investment, the reallocator must contract adopted NE/NW technologies and/or expand non-exhausted SE/SW technologies. Alternatively, if the agent recommends a net disinvestment, the reallocator may expand non-exhausted NE technologies and/or contract adopted SW technologies Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Model schematic 2. The agent recommends the new intervention if its expected value exceeds the agent’s value threshold New intervention Each new intervention represents either a net investment or net disinvestment Net investments impose costs on the health system, requiring that resources be released from other technologies Net disinvestments release resources, allowing these to be spend on other technologies from the pool
  • 12. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial allocator Reallocator Agent Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Value threshold Used by the agent to determine whether or not to recommend the new intervention Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Agent’s authority Agent may have mandate to consider reallocation and/or an alternative to the intervention Model schematic 3. If the agent recommends a net investment, the reallocator must contract adopted NE/NW technologies and/or expand non-exhausted SE/SW technologies. Alternatively, if the agent recommends a net disinvestment, the reallocator may expand non-exhausted NE technologies and/or contract adopted SW technologies 2. The agent recommends the new intervention if its expected value exceeds the agent’s value threshold New intervention Each new intervention represents either a net investment or net disinvestment Net investments impose costs on the health system, requiring that resources be released from other technologies Net disinvestments release resources, allowing these to be spend on other technologies from the pool
  • 13. Pool of initial technologies The cost and effectiveness of each technology is drawn from a distribution Each technology is randomly assigned a ‘value’ attribute and a specific health production function ‘shape’ (applies only if marginal returns are diminishing) Initial allocator Reallocator Agent Imperfect information Each decision maker has one of four levels of information regarding the effectiveness of technologies: none, poor, good, or perfect Other value considerations Each decision maker assigns one of four possible weights to ‘value’ considerations beyond the QALY: none, small, medium, or large Initial budget Upon the establishment of the health system, an initial budget is assigned for purchasing technologies from the pool 1. The initial allocator purchases technologies from the pool until the initial budget is exhausted Value threshold Used by the agent to determine whether or not to recommend the new intervention 4. Prior to making its recommendation, the agent places its own valuations on both the new intervention and the reallocator’s preferred reallocation. If the agent has the authority to mandate a reallocation and/or propose an alternative to the new intervention then it also places a valuation upon this. The optimal value threshold is that which ensures that a new intervention is only recommended if doing so maximizes the expected value to the agent Divisibility of technologies Technologies in the pool are either all divisible or all indivisible Marginal returns to scale Technologies in the pool either all have constant marginal returns to scale or all have diminishing marginal returns to scale Agent’s authority Agent may have mandate to consider reallocation and/or an alternative to the intervention Model schematic 3. If the agent recommends a net investment, the reallocator must contract adopted NE/NW technologies and/or expand non-exhausted SE/SW technologies. Alternatively, if the agent recommends a net disinvestment, the reallocator may expand non-exhausted NE technologies and/or contract adopted SW technologies 2. The agent recommends the new intervention if its expected value exceeds the agent’s value threshold New intervention Each new intervention represents either a net investment or net disinvestment Net investments impose costs on the health system, requiring that resources be released from other technologies Net disinvestments release resources, allowing these to be spend on other technologies from the pool
  • 14. Conventional Assumptions -$50m -$40m -$30m -$20m -$10m $0m $10m $20m $30m $40m $50m -2,000 -1,000 0 1,000 2,000 Expenditureonnewtechnology Value of new technology (QALY equivalents) Lower budget Higher budget Lower budget Higher budget Threshold 'kinks' All decision makers have perfect information All decision makers place no weight on other ‘value’ considerations Technologies are divisible Technologies exhibit constant returns to scale Agent cannot reallocate
  • 15. -$50m -$40m -$30m -$20m -$10m $0m $10m $20m $30m $40m $50m -2,000 -1,000 0 1,000 2,000 Expenditureonnewtechnology Value of new technology (QALY equivalents) Lower budget Higher budget Lower budget Higher budget All decision makers have perfect information All decision makers place no weight on other ‘value’ considerations Technologies are divisible Technologies exhibit diminishing returns to scale Agent cannot reallocate Diminishing Returns to Scale
  • 16. -$50m -$40m -$30m -$20m -$10m $0m $10m $20m $30m $40m $50m -2,000 -1,000 0 1,000 2,000 Expenditureonnewtechnology Value of new technology (QALY equivalents) Lower budget Higher budget Lower budget Higher budget (overlap) All decision makers have perfect information All decision makers place no weight on other ‘value’ considerations Technologies are indivisible Returns to scale irrelevant if technologies are indivisible Agent cannot reallocate Indivisible Technologies
  • 17. -$50m -$40m -$30m -$20m -$10m $0m $10m $20m $30m $40m $50m -2,000 -1,000 0 1,000 2,000 Expenditureonnewtechnology Value of new technology (QALY equivalents) Lower budget Higher budget Lower budget Higher budget Threshold 'kinks' Reallocator and agent have perfect information and initial allocator has poor information Reallocator and agent place small weight and initial allocator places large weight on other ‘value’ considerations Technologies are divisible Technologies exhibit diminishing returns to scale Agent cannot reallocate Imperfect Information and Other ‘Value’ Considerations -$50m -$40m -$30m -$20m -$10m $0m $10m $20m $30m $40m $50m -2,000 -1,000 0 1,000 2,000 Expenditureonnewtechnology Value of new technology (QALY equivalents) Lower budget Higher budget Lower budget Higher budget Threshold 'kinks' Initial allocator and agent have perfect information and reallocator has poor information Initial allocator and agent place small weight and reallocator places large weight on other ‘value’ considerations Technologies are divisible Technologies exhibit diminishing returns to scale Agent cannot reallocate
  • 18. -$50m -$40m -$30m -$20m -$10m $0m $10m $20m $30m $40m $50m -2,000 -1,000 0 1,000 2,000 Expenditureonnewtechnology Value of new technology (QALY equivalents) Lower budget Higher budget Lower budget Higher budget Threshold 'kink' Initial allocator and agent have perfect information and reallocator has poor information Initial allocator and agent place small weight and reallocator places large weight on other ‘value’ considerations Technologies are divisible Technologies exhibit diminishing returns to scale Agent can reallocate Agent Has Authority to Reallocate
  • 19. Conclusions • The conventional ‘CE threshold’ model is merely a special case among many approaches for determining a value threshold • Departing from this special case allows for consideration of: • Differences in the information available to, the values held by, and the objectives pursued by, multiple interacting decision makers • The specific value characteristics of each technology • This has potentially significant implications for the appropriate specification of value thresholds used for decision making • Our findings provide insights for future theoretical work, as well as a rich source of potential hypotheses for researchers conducting empirical research in this area
  • 20. Questions 1. Why should value considerations be accounted for within the threshold used for CE analysis? Isn’t it sufficient to simply apply weights to new technologies or to consider ‘values’ separately? 2. Why might differences in information, values and objectives across multiple interacting decision makers result in: a) Different thresholds for net investments and net disinvestments? b) Thresholds that cross into the SE and NW quadrants of the CE plane? 3. Why is the threshold dependent upon the agent’s authority? Are there any implications for the recommendations made by CADTH or for the decisions of Canadian policy makers who depend upon CADTH’s guidance?
  • 21. References • Claxton et al. (2013). Methods for the Estimation of the NICE Cost Effectiveness Threshold. CHE Research Paper 81. York: University of York. • Drummond et al. (2005). Methods for the Economic Evaluation of Health Care Programmes. Third Edition. Oxford: Oxford University Press. • Sendi et al. (2002). Opportunity costs and uncertainty in the economic evaluation of health care interventions. Health Economics, 11(1), 23–31. • National Institute for Health and Care Excellence (2009). Appraising life- extending, end of life treatments. London: NICE. • National Institute for Health and Care Excellence (2014). Consultation Paper: Value Based Assessment of Health Technologies. London: NICE. • Paulden et al. (2014). Some Inconsistencies in NICE’s Consideration of Social Values. PharmacoEconomics. November 2014, 32(11), 1043-1053.