Cochlear Implant Atlas
CI Atlas · Was It Worth It? Measuring Quality of Life and the Cost of an Implant · Module 07

7The Economist's Toolkit: QALYs, ICERs and Thresholds

Deciding whether an implant is worth it is an economic question, and economists have a small, precise vocabulary for it. This module builds that toolkit: the QALY as utility times time, the ICER as cost per QALY, and the discount rate, perspective and threshold that turn a cost-per-QALY into a funding decision. By the end you should be able to read a cost-utility paper and judge whether its bottom line is robust.

FUtility and the QALY: putting a number on a year of life

Health utility is a single number anchored at 0.00 (death) and 1.00 (perfect health), letting health states be both ranked and given cardinal value. A QALY is utility multiplied by time: 20 years at utility 0.2 yields 4 QALYs, and the same 20 years at 0.6 yields 12. Profound deafness in adulthood carries a mean utility decrement of roughly -0.46, with losses spanning -0.36 to -0.63 by instrument.[1986][1989][1996][1999]

What a QALY is: utility × time = area

0.000.250.500.751.005.2 QALYs040 yryears the gain is sustained →

A cochlear implant lifts health utility by roughly +0.26 on a 0–1 scale. Multiply that lift by the number of years it lasts and you get QALYs gained — the green area. Divide the implant’s cost by this area and you get the cost per QALY that decides whether it is judged good value. The longer the gain is sustained, the larger the area and the cheaper each QALY becomes — which is why a child gains far more than an adult. Illustrative.

TEliciting utility: direct methods and off-the-shelf instruments

Utility is elicited directly by visual analogue scale, time trade-off (forgoing healthy time to escape the state) or standard gamble (certain impairment versus a risky chance of perfect health). Generic preference-based instruments use population tariffs: EQ-5D scores five dimensions, SF-6D six, and HUI3 eight attributes including an explicit hearing item. Generic tools register implant benefit mainly through non-hearing domains and may underestimate hearing-specific gain; disease-specific tools like the CIQOL are more sensitive. Adult recipients show HUI3 utility gains of roughly +0.19 to +0.26 after implantation.[1996][2001][2019][2009]

The cost-effectiveness plane

$0k$23k$45k$68k$90kNICE 20-30kUS $50kincremental costincremental QALYs gained →0246
ICER$12,692/QALYVerdictCost-effective

Every point is a cost divided by a QALY gain — its ICER, the slope of the line from the origin. The flatter the slope, the cheaper each QALY and the better the value. A unilateral adult implant lands near $12,847/QALY, far below the NICE GBP 20-30k band and the US $50,000 line, so it falls inside the cost-effective wedge. Push the cost up or the QALY gain down and the same device tilts past the threshold into the not-cost-effective zone. Illustrative.

TThe ICER: the price of an extra QALY

The ICER divides net cost (evaluation, surgery, rehabilitation, lifelong maintenance) by net QALYs, giving a cost per QALY gained. Pooled adult CI analyses yield about +0.26 QALYs and a weighted-average cost-utility near $12,847 per QALY, individual studies spanning $9,000 to $31,177. A complete reckoning includes follow-up, complications, replacements and warranties, with surgical morbidity counted as a temporary utility dip.[2009][1999][1999][1996]

TDiscounting and perspective: whose costs, and when

Future costs and benefits are discounted (commonly about 5% per year) to a present value before the ICER is computed. A health-system perspective counts only direct medical costs; a societal perspective adds indirect costs such as lost productivity, caregiver burden and education. The societal view sharply improves the paediatric case, where mainstream schooling offsets special-education costs of $30,000 to $200,000 per child per year and can drive net savings.[2006][2000][2000][2006]

Perspective changes the verdict

$0k$9k$18k$27k$36k$ per QALYthreshold $30k/QALY$21k/QALYHealth-system
Medical cost$95kNet / QALY$21k

Cost-effectiveness depends on whose costs you count. A narrow health-system view sees only the $95k of medical spend, leaving the ICER near the threshold. A broader societal view also credits the implant with special-education savings and lifetime productivity the recipient regains, subtracting them from the numerator and pulling the ICER comfortably below the willingness-to-pay line. The same intervention can look unaffordable or excellent value depending only on where you draw the boundary. Illustrative.

FThresholds and sensitivity analysis: turning a ratio into a decision

NICE treats roughly GBP 20,000 to 30,000 per QALY as the threshold; UK unilateral CI analyses fall within it, some near GBP 10,000 per QALY. WHO-CHOICE calls an intervention cost-effective under 1 to 3 times GDP per capita per QALY, easily cleared in high-income countries but often failed where the ceiling is only $1,500 to $4,500. Sensitivity analysis varies discount rate, device longevity and utility estimates; the spread of published cost-per-QALY figures reflects these assumptions.[2009][2002][2021][2006]

Case 20.7 · The Economist's Toolkit
A health ministry in a middle-income country weighs a paediatric cochlear implant programme. Economists present lifetime direct costs of device, surgery and maintenance, discounted at 5% per year, divided by an estimated lifetime utility gain. The base-case ICER is $28,000 per QALY from a health-system perspective; GDP per capita is $4,500. One advisor says it fails the WHO benchmark; another says the analysis ignores children who will attend mainstream rather than special schools.

Which single change is most likely to move this programme from not cost-effective to cost-effective, and why?

Self-assessment — Module 72 questions
Question 1

A patient is expected to live 25 more years. Without an implant her utility is 0.45; with one it rises to 0.70 for life. Ignoring discounting and costs, how many QALYs does the implant gain her?

Question 2

In a cost-utility analysis, what does the incremental cost-effectiveness ratio (ICER) represent?

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