Sequential incremental cost-effectiveness ratio

Calculates the additional cost per additional unit of effect between each remaining alternative and the next less effective alternative.

Signature

ICER_i = (C_i - C_(i-1)) / (E_i - E_(i-1))
Inputs
InputsDefinitionUnit
C_iTotal relevant cost of alternative icurrency per defined population or person
C_(i-1)Total relevant cost of the next less effective non-dominated alternativethe same currency basis as C_i
E_iExpected outcome for alternative ithe shared natural outcome measure
E_(i-1)Expected outcome for the next less effective non-dominated alternativethe same natural outcome measure as E_i
Output
ICER_iAdditional cost per additional unit of effect for alternative i relative to the next less effective alternativecurrency per outcome unit

Function

Fully incremental cost-effectiveness function

Maps an effectiveness-ordered set of non-dominated alternatives to sequential incremental cost-effectiveness ratios.

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Implementations

  • Excel

    Calculate a sequential ICER

    Excel divides sequential incremental cost by sequential incremental effect using named ranges and returns #N/A when the effect difference is not greater than zero.

    =IF(CurrentEffect-PreviousEffect>0,(CurrentCost-PreviousCost)/(CurrentEffect-PreviousEffect),NA())

Assumptions

  • Ordered by effectiveness

    Alternatives are ordered from least to most effective before sequential comparisons are calculated.

  • Common outcome measure

    Every alternative uses the same natural outcome definition and unit.

  • Strict dominance removed

    Any alternative that costs no less and produces no more effect than another alternative, and is strictly worse on at least one of the two, is removed before sequential ICERs are calculated. This includes ties, such as equal cost with lower effect.

  • Extended dominance addressed

    After strict dominance is removed, any alternative whose sequential ICER exceeds the sequential ICER of the next more effective alternative is removed as extendedly dominated. Sequential ICERs are then recalculated against the new adjacent alternatives, and the check is repeated until they increase with effectiveness.

  • Positive incremental effect

    The denominator E_i minus E_(i-1) is greater than zero for every calculated sequential ICER.

Worked examples

  • Sequential comparison of three alternatives

    Current care costs £10,000 and produces 8.0 life-years. Intervention A costs £12,500 and produces 8.5 life-years. Intervention B costs £16,000 and produces 8.8 life-years. Neither intervention is dominated and the ratios increase with effectiveness, so no option is removed. The sequential ICERs are £5,000 and approximately £11,667 per life-year gained. The calculation shows the first step, Intervention A against current care.

    C_i = 12500; C_(i-1) = 10000; E_i = 8.5; E_(i-1) = 8.0; ICER_i = 5000
  • Removing strict and extended dominance

    Five illustrative alternatives are measured in life-years. A costs £10,000 for 4.0, B costs £13,000 for 4.3, X costs £20,000 for 4.4, C costs £18,000 for 4.5 and D costs £22,000 for 4.8. Ordered by effect, X is strictly dominated by C, which costs less and produces more, so X is removed. The sequential ICERs are then £10,000 for B, £25,000 for C and approximately £13,333 for D per life-year gained. Because the ICER for C exceeds the ICER for D, C is extendedly dominated and removed. Recalculation gives £10,000 for B and £18,000 for D, which increase with effectiveness, so A, B and D form the frontier.

    C_A = 10000; E_A = 4.0; C_B = 13000; E_B = 4.3; C_X = 20000; E_X = 4.4; C_C = 18000; E_C = 4.5; C_D = 22000; E_D = 4.8; ICER_B = 10000; ICER_D = 18000; frontier = A, B, D

Common errors

  • Comparing every alternative with a common baseline

    Using the same baseline for every ratio can retain dominated strategies and fails to construct the cost-effectiveness frontier.

Sources

  • NICE manual for cost-effectiveness analysis

    National Institute for Health and Care Excellence. NICE technology appraisal and highly specialised technologies guidance: the manual (PMG36). Published 2022; last updated 13 October 2026. Chapter 4 Economic evaluation, sections 4.2.16 and 4.10.8 (fully incremental analysis with dominated and extendedly dominated technologies removed).

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