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CostUtilityAnalysis*
Introduction
CUAvs.CEA
MeasuringUtility
Applications
1
2
And in the end, it's not the years in your
life that count. It's the life in your years.
(Abraham Lincoln)
3
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SubsetofCEA
OutcomeisQualityAdjustedLifeYear(QALY)Allowscomparisonsofdifferentprograms(unlike
CEA)acrossdiseasesandconditions
StandardCEAcannotbeusedforcomparisonsacross
diseasegroups
StandardCEAcannotshowanoverallassessmentofa
treatment(e.g.impactofsideeffects)
CUAwasdevelopedasaresponsetothe
humancapital(HK)approach
CostUtilityAnalysis4
1. Somemedicalinterventionsmaybeassociatedwithsignificantincreasesinthenumberoflifeyearssavedbutreducedqualityoflife
2. Conversely,amedicalinterventionmayresultinfewlifeyearssavedbutenhancedqualityoflife
forexamplecoronarybypassoperationsinelderlymen
OnceUponaQALY
Klarman et al. (1968), who introduced theconcept of a QALY in that year, noticed that
the quality of life with a kidney transplant
was better than with dialysis. Theyestimated that the improvement was 25%
5
1yearoffullfunctionisafullQALY
DisabilityreducestheQALYbysome
proportiona,and
(1 a)=brepresentstheproportionofquality
ofliferemaining
QALY
10 b
0 = death full quality of life
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EndStageRenalDisease(ESRD)
1. dialysisthreetimesaweeksaveslivesbutdoesnotgetonebacktob1=1,soitisusefultoknow
thelevelofb1inthiscase,andcompareitto
2. kidneytransplantationwhichdoesrestorea
patienttonearfullfunction,sob2 1 andb2>b1.
But,byhowmuch?
QALY Anexample7
Problems1. Itlackssensitivitytopopulationswithgenerallygood
health. Activitiesaresobasiconlythequitefrailhavesignificantnumbersoflimitations.
2. Anequalweightforeachactivitymaynotbeappropriate
3. Allscaleincrementsareweightedequally
4. Theassumption thatanaveragecanbecalculatedasthesumofindividualscoresdividedbythenumberofindividualsisproblematic
ConstructionofindicesbasedonLikerttypescales
8
o TheeconomiststakeonQALYs
1. Quantifyingutilityisproblematicatbest
2. Aggregatingutilityacrossanentire
populationisevenworse Preferencesdifferacrossindividualsandtime(TTO)
QALYSomeconceptualproblems
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durationmaximum
1QALY
t
t
tt
r
qF
CalculationofQALY
Ifonedismissestheconcernsvoicedby
economists,
and
weights
have
been
agreed
upon,
measuresofqualityoflifemaybecomputedas
Ft = probability of survival at time t; qt is the weight
Ft : probability of survival at time t
qt = weight
10
WhentouseCUAasopposedtoCEA
1. Qualityoflifeisanimportantoutcome
2. Healthrelatedqualityoflifeisanimportantoutcome
3. Bothmortalityandmorbidityareinvolved
4. Programshaveawiderangeofoutcomes
5. Newanalysisofprogramstobecomparedwiththosealreadyanalyzed
CUAvs.CEA11
1. Outcomesareequallyeffective
2. Thereisevidenceonlyofintermediate,asopposedtofinal,effectivenessoftreatment
3. If
effectiveness
data
indicates
an
obviously
dominantprogram
4. Whentheprocessofobtainingthedataisitselfdeemednotcosteffective
WhennottouseCUA12
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Twobasicmethodsofconstructingthisindex
(more
on
this
later)a. Individualswiththehealthconditionbeingassessedb. Professionalswithknowledgeoftheconditionbeing
assessed
Factorsconsideredincludesensation,mobility,emotion,cognition,selfcare,pain,fertility
Alternatively,Likert pointscalesmaybeusedtohelpinterviewees (seenextslide)
UtilityIndices13
A=improvementinquality
B=increaseinlifeyears
Discounting offuture
Potentialcrossingofinterventionandnoninterventionpaths
QALYdiagrams14
QALYdiagrams15
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NeteffectsQWB=QualityofWellBeing
ANEXAMPLEOFCALCULATING&USINGQALYEddy,D.M.(1991) OregonsMethods. DidCostEffectivenessAnalysis Fail,?Journal oftheAmericanMedicalAssociation, 116:
21352141
durationQWBQWB 01
With treatment Without treatment
16
ANEXAMPLEOFCALCULATING&USINGQALY
continued
Each of the alternatives may consist of multiple different states. For example, thetreatment alternative may be associated with several possible outcomes, each having acertain probability, i.e. (see Table)
Treatment or not for appendicitis
Alternative and possible outcomes Probability Weight
Treatment
Death 0.01 0.00Symptoms of abdominal pain 0.01 0.747Survival with symptoms such as vomiting, fever, chills, etc 0.01 0.630No adverse effects 0.97 1.00
No treatment
Death 0.99 0.00No adverse effects 0.01 1.00
17
Evaluationoftreatment
ANEXAMPLEOFCALCULATING&USINGQALY
continued
N
i
ii WQWB 1,1 Pr
98377.000.197.0630.001.0747.001.000.001.0
N
i
ii WQWB 0,0 Pr
01.000.101.000.099.0
The difference is
0.98377 0.01 = 0.974
(continued on next slide)
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Multiplybyduration
Assumeanaverageremaininglifetimeof47years,thentheneteffectis
Thecostcomponent
TheMedicaidcostofappendicitisis$5744,so,the
cost/QALYratiois
ANEXAMPLEOFCALCULATING&USINGQALY
continued
778.45974.047
125$778.45
5744
QALY
Cost compare to ratiosfrom other treatmentsto prioritize
Questions/Comments
19
Note: not discounted!
MeasuringUtilities20
1. Identifyrelevanthealthstates
2. Describingthestages Duration(T)isofparticularimportance
Problem:UbarisafunctionofT.
3. Selectionofindividualstobeinterviewed(i.e.whose
preferences?)a. C UAperspective thosedirectlyaffectedorthegeneralpublic
b. C BAperspective allaffectedparties(societys)
4. Selectamethod(referstotypes&structureofquestionsasked)formeasurement (nextfewslides)
a. Categoryratingscale(RS)
b. Standardgamble(SG)
c . T imetradeoffmodel(TTO)
MeasuringUtilities:Stages21
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thethermometermethod
Themethodsformeasurement1.TheCategoryratingscale(RS)
22
Assumetwostatesofutility
Allotherhealthstatesareassumedtooccurwithcertainty
Theindividualthenmakespairwisecomparisonsbetweeneachstate
andoneoftheextremes
Example(acasewithjusttheextremes)
Theprobabilityofenjoyingtheutilityofthehealthystate:
Expectedutility:
So,iftheprobabilityis0.80thentheexpectedutilityis0.80
Seediagramonnextslide
Themethodsformeasurement2.StandardGamble(SG)
0DeathU and 1HealthU
HU DUHUUE ).1(.
23
Lettheexpectedremaininglifetimeforapersonwitharthritis
bet(knownbyassumption)
Howmanyyears(sayx)inthehealthystatewouldmakethe
individualindifferentbetweenthetwostates? Inother
words:
Themethodsformeasurement3.TimeTradeOffModel(TTO)
AUtHUx
Equals 1
t
xAU Expression reduces to
Continued if next slide
Since t is known (say a
person with arthritis lives
another 40 years), then, if
the individual cannot
decide between living 20
healthy years or 40
arthritic years, the utility of
a year with arthritis is
(20/40 = 0.5).
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Arthritisexamplediagram
Themethodsformeasurement3.TimeTradeOffModel(TTO)
25
Preferencesfortemporaryhealthstates(reductions)canbemeasuredrelativetoeachotherwiththeTTOapproach. Thefigurebelowshowstwointermediatestates.
Alternative1isassociatedwithasmallerbutrelativelylongerreductioninhealth
Themethodsformeasurement3.TimeTradeOffModel(TTO)
26
1. Whatisbeingaskedinaquestion?a. IntheRSmethod,peopleareaskedtoapplyanumericscaledirectlytoa
condition.
b. IntheSGmethod,peopleareaskedtogamblewiththeirhealth
c. IntheTTOmodel,timepreferenceswillbeaffectedbythenumberofyears.
2. Howisitasked? Howisthequestionframed Whatbenchmarksoranchorsareusedtoexpress
onespreferences?
Considerationsthataffectindicesderivedbythethree
methods
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Selectedresultsfromcomparativevaluationstudies
Author N Kind of subjects SG RS TTO State
Torrance(1976) 43 Students 0.75 0.61 0.76 Not indicated0.73 0.58 0.700.60 0.44 0.630.44 0.26 0.38
Bombardier et al. (1982) 52 Health care personnel 0.85 0.65 0.78 Walking stickPatient s 0.81 0.47 0.58 Walking frame
F am ily 0 .6 4 0 .2 9 0 .4 1 N eeds s up er vision w hen w alking0.55 0.18 0.28 Needs oneassistant for walking0.38 0.08 0.11 Needs two assista nts
Llewellyn-Thomaset al. (1984) 64 Patients 0.92 0.74 Tired, Sleepless0.84 0.68 Unable to work. Somepain0.75 0.53 Limited walking.
Unable to work. Tired0.66 0.47 In house. Unable to work. Vomiting0.30 0.30 In bed in hospital. Needs help with
self-care. Trouble remembering
Read et al. (1984) 60 Doctors 0.90 0.72 0.83 Moderate angina0.71 0.35 0.53 Severe angina
Breast cancer:Richardson et al. (1989) 46 Health care personnel 0.86 0.75 0.80 Removed breast unconcerned
0.44 0.48 0.41 Removed breast. Stiff arm. Tired.Anxious. Difficulties with sex. Cancerspread. Constant pain.
0.19 0.24 0.16 Tired. Expecting not tolive long.
Source: Nord 91992) Methods for QualityAdjustment ofLife Years, Social Science and Medicine, 34: 559-569
28
AnApplication:UtilitieswithHIVInfection
Bayoumi, A.M. and Redelmeier, D.A. (1999) Economic Methods for Measuring the Quality of Life Associated with HIV Infection, Quality ofLife Research8: 471-480
Table: Ratings of standardized health states
Elicitation Method Symptomatic HIVa Minor ADIb Major ADIc
Standard GambleMean 0.80 0.65 0.42
Median 0.90 0.75 0.40
Range 0.005-1.00 0.00-1.00 0.00-1.00
Time Trade-offMean 0.81 0.65 0.44
Median 0.96 0.75 0.50
Range 0.004-1.00 0.00-1.00 0.00-1.00
Visual AnalogMean 0.70 0.46 0.25Median 0.70 0.49 0.21
Range 0.32-0.95 0.00-0.81 0.00-0.70a.
Symptomatic HIV with no AIDS Defining Illnesses (ADI)b. Examples: pneumonia and TB
c.
Examples: wasting syndrome
29