Lectures 9 - 13 for Final Flashcards
Value of a statistical life (VSL):
Threshold current = $7M
■ If intervention costs more → reject
■ If intervention costs less → accept
How are VSL’s determined?
Juries
● Revealed preference (willingness to pay)
● Revealed preference in occupation (ex. window washer wage differs depending on the height at which they wash; coal miners)
● Survey
Cost-Benefit Analysis (CBA)
- Convert Everything to Dollars
- Do the costs outweigh the benefits?
- Assumes a constant VSL
- Used more in regulation than in medicine/PH
Cost-Effectiveness Analysis (CEA)
Cost-effective
Incremental Cost Effectiveness Ratio/Cost-Effectiveness Ratio
Difference in costs / Difference in Effectiveness;
[Cv-Co]/[Ev-Eo]
Cost-Utility Analysis
Same as cost-effectiveness but units is QALYs or DALYs
What is considered a QALY threshold for cost-utility analysis?
$50k-$100k per QALY; in LIC use per capita GDP
Discuounting
PV = FV/[(1+r)^t]
You often need to compare stuff over time (i.e. chronic disease - cheaper to prevent or treat later)?
Need to use this to compare the future vs today
3% is seen as the starting discount rate for medical decision making
If you have 10mm people and the cost of a vaccine is $2; what is your cost to vaccinate all?
2*10mm = $20mm
If you have 10mm people and 99.5% of the people who are vaccinated live, how many people will live?
.995*10mm= 9.95 milliion lives saved
If you have 10mm people and vaccinate none of them, and 99% get no small pox, and of the 1% that do, 10% live, how may people are alive at the end?
.9910mm=9.9 million lives
plus
(0.010.10)*10mmm = 0.01mm
= 9.91mm lives
If total cost of vaccination = 20,000,000 and total cost of not = 0, and effectiveness for vaccination (aka lives saved) is 9.95mm and effectiveness for non-vaccination is 9.91mm, then what is the value per life saved?
(20,000,000-0)/(9.95-9.91) = 20,000,000,/.04= $500/lives saved.
Reminder to look at Heparin Decision Tree Example
Look at example
Sensitivity
P(T+|D+)
Specificity
P(T-|D-)
PPV:
P(D+|T+) = [sensprevalence]/[(sensprev)+(1-spec)*(1-prev)]
Where is the prevalence located on a 2x2?
bottom of the D+ column (“e” cell)
What is cell a as a calcuation?
prevalence*sensitivity
what is d cell as a calucation?
F cell*specificity
What is the calculation for PPV also?
a cell divided by total test positive.
What do we fear in testing?
false positivies
When does it make sense to screen?
When the A cell is way more heavily populated than the b cell.
When can we expect more false positives?
when the disease is very rare
review HIV example
review HIV example
Preventive Care Spectrum
1) saves lives and money
2) cost-effective
3) cost-ineffective
4) increases cost and worsens health
Calculation for cost WITH prevention
of peiople * cost of prevention
Calucation for cost WITHOUT prevention
of people * cost of event * incidence without prevention
When does prevention save money?
when the cost WITH prevention is less than the cost WITHOUT prevention.
Six Criticisms of Cost-Effectiveness
1) Ethics
2) Heterogeneity in patient benfit
3) Heterogeneity in provider skill
4) Some thresholds can be arbitrary
5) Normal people don’t think like this
6) Incentives Matter
Problem with Cost-Effectiveness: ethics
are we comfortable putting money on human lives?
Heterogeneity in patient benefit as a problem with cost-effectiveness
cost-effectiveness may be too crude/simple, bc for certain groups the treatment may be effective/worth it
Heterogeneity in provider skill as a problem with cost-effectiveness
volume-outcome relationship; providers who do the same procedure all the time have better outcomes; in high volume centers, outcomes are usually better and cost effectiveness will look better
Some thresholds are arbitrary as a problem with cost-effectiveness
why do we draw the line where we do?
Normal people don’t think like this as a problem with cost-effectiveness
we dont think in terms of monetary value with lives but economists do
Incentives Matter (as a problem with cost-effectiveness)
Problem is when providers make money from providing cost-ineffective care; these doctors are poorly incentivized
An agency problem is what?
its a transaction with two key issues:
- information assymetry
- misaligned incentives
Capitated payment
an alternative to fee-for-service
providers are paid a lump sum for all treatment and must allocate care accordingly
therefore it is more profitable to provide less care
Target Earnings Hypothesis
Physicians have target earnings in mind; if you decrease the price, physicians will increase the quantity to meet that benchmark.
what does the mcguire model do?
shows why fee-for-service model induces demand because physicians do not determine price but they do determine quantity.
Net surplus
utility gained by paying less than you would normally
total difference between willingness to pay and the price
Minimum Net Surplus
the minimum quantity of care a patient will accept (or the minimum net surplus required) from a physician before they’d move physicians.
surplus maximizing level of medicine on mcguire model
maximizes are abetween price and demand
Review McGuire Model
Review McGuire Model
What are the assumptions of the mcguire model?
fee for service
patients understand the dynamics of cost and quantity
patients pay so they care about the thigns they buy
What is the conclusion of the mcguire model
physician will induce demand because its profitable under the FFS model and the patient is willing to accept more care than they want.
How can you make the mcguire model worse?
By removing assumption that patients understand price/qty dynamics, and when there is a third party payer!
Goals of malpractice system
compensate and deter negligence
Does our system of malpractice insurance meet the two goals?
no:
- not necessarily compensating patients well or quickly
- not even addressing negligence
- if anything leads to defensive medicine