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Fully Incremental Analysis

A method comparing more than two mutually exclusive interventions by ranking them by effectiveness and calculating each option's ICER against the next best alternative.

Last reviewedDarrin Baines IP Ltd

Concept Architecture

Concept

Theoretically, Fully Incremental Analysis is the systematic procedure used in cost-effectiveness analysis to compare multiple competing healthcare interventions by evaluating their incremental costs and incremental health outcomes sequentially. It is based on the principles of opportunity cost, economic efficiency and marginal analysis, ensuring that each intervention is compared with the next most effective non-dominated alternative. The method identifies the efficient set of interventions and forms the basis of evidence-based resource allocation in health technology assessment.

Mathematically, Fully Incremental Analysis is performed by ranking interventions in ascending order of effectiveness, eliminating strongly dominated alternatives, calculating incremental cost-effectiveness ratios (ICERs), removing interventions subject to extended dominance and recalculating ICERs iteratively until the efficient cost-effectiveness frontier is established. The remaining ICERs are then compared with the decision-maker's willingness-to-pay threshold.

In practice, Fully Incremental Analysis is routinely undertaken within health economic evaluations involving three or more interventions. Decision analysts construct incremental cost and effectiveness tables, identify dominated and extendedly dominated alternatives, recalculate ICERs where necessary and present the final efficient frontier for reimbursement or policy decisions. The approach is recommended in major health technology assessment guidelines, including those of NICE.


Purpose

Used to identify the economically efficient set of healthcare interventions by sequentially comparing incremental costs and health outcomes, removing dominated alternatives and constructing the cost-effectiveness frontier for decision-making.


Mathematical Formulae

Primary Formula

Incremental Cost-Effectiveness Ratio:

ICER = ?C / ?E

where:

  • ?C = incremental cost
  • ?E = incremental effectiveness

Supporting Formulae

Incremental cost:

?C = C? ? C???

Incremental effectiveness:

?E = E? ? E???

Extended dominance criterion:

ICER???,? > ICER?,???

Related Mathematical Methods

  • Incremental cost-effectiveness analysis
  • Dominance analysis
  • Extended dominance analysis
  • Cost-effectiveness frontier construction
  • Decision-analytic modelling
  • Probabilistic sensitivity analysis

Example

Four interventions are ordered by increasing effectiveness.

InterventionCost (�)QALYs
A10,0004.0
B14,0004.3
C18,0004.5
D20,0004.8

Sequential ICERs are calculated:

  • A ? B = �13,333/QALY
  • B ? C = �20,000/QALY
  • C ? D = �10,000/QALY

Because the ICER for B ? C exceeds that for C ? D, intervention C is eliminated through extended dominance. ICERs are recalculated using the remaining interventions to produce the efficient cost-effectiveness frontier, which is then compared with the relevant willingness-to-pay threshold.


Excel Implementation

FunctionExample FormulaHealth Economics Application
SORT=SORT(A2:C6,3,1)Orders interventions by effectiveness before incremental analysis.
INDEX=B3-B2Calculates incremental costs between adjacent interventions.
INDEX=C3-C2Calculates incremental effectiveness between adjacent interventions.
IF=(B3-B2)/(C3-C2)Calculates incremental cost-effectiveness ratios.
FILTER=FILTER(A2:E6,E2:E6<>""Dominated"")Removes dominated interventions before recalculating ICERs.

VBA (Optional)

Automate the complete fully incremental analysis by ordering interventions, identifying dominated and extendedly dominated alternatives, recalculating ICERs and generating the final cost-effectiveness frontier.


Sources

  • Drummond MF, Sculpher MJ, Claxton K, Stoddart GL, Torrance GW. Methods for the Economic Evaluation of Health Care Programmes. 4th ed. Oxford University Press; 2015.
  • Briggs A, Claxton K, Sculpher M. Decision Modelling for Health Economic Evaluation. Oxford University Press; 2006.
  • Gold MR, Siegel JE, Russell LB, Weinstein MC, eds. Cost-Effectiveness in Health and Medicine. Oxford University Press; 1996.
  • Fenwick E, Claxton K, Sculpher M. Representing uncertainty: the role of cost-effectiveness acceptability curves. Health Economics. 2001;10(8):779?787.
  • NICE. Health Technology Evaluation Manual. Latest edition.

Library

Publications

4
  • BookFeatured

    Methods for the Economic Evaluation of Health Care Programmes — Drummond, Sculpher, Claxton, Stoddart & Torrance, 4th Edition ed., 2015 (Oxford University Press)

    The standard international reference text for economic evaluation methods in health care, covering cost-effectiveness, cost-utility and cost-benefit analysis, measurement of costs and outcomes, evidence synthesis, and the characterisation of uncertainty.

  • Book

    Applied Methods of Cost-Effectiveness Analysis in Healthcare — Gray, Clarke, Wolstenholme & Wordsworth, 1st Edition ed., 2011 (Oxford University Press)

    A practical, worked-example guide to conducting cost-effectiveness analysis, structured around outcomes, costs, modelling with decision trees and Markov models, and presenting results. Volume 3 in the Handbooks in Health Economic Evaluation series, developed from the University of Oxford course.

  • GuidanceFeatured

    NICE Health Technology Evaluations: The Manual (PMG36) — National Institute for Health and Care Excellence, PMG36 ed., 2022 (NICE)

    NICE’s consolidated methods and processes manual for health technology evaluation, defining the reference case for economic evaluation (perspective, comparators, time horizon, discounting, EQ-5D, cost-effectiveness thresholds and the severity modifier) — the authoritative HTA methods reference for the English NHS.

  • Guidance

    Guidelines for the Economic Evaluation of Health Technologies: Canada, 4th Edition — Canadian Agency for Drugs and Technologies in Health (CADTH), 4th Edition ed., 2017 (CADTH / CDA-AMC)

    CADTH’s national methods guidelines for the economic evaluation of health technologies in Canada — reference case, comparators, modelling, effectiveness, discounting and uncertainty — a major national HTA methods reference (co-authored with Sculpher and other leading health economists).

Frequently Asked Questions (6)

  • What is fully incremental analysis?

    A method comparing more than two mutually exclusive interventions by ranking them by effectiveness and calculating each option's ICER against the next best alternative.

    Source: Drummond MF, Sculpher MJ, Claxton K, Stoddart GL, Torrance GW. Methods for the Economic Evaluation of Health Care Programmes. 4th ed. Oxford University Press; 2015.

  • How is a fully incremental analysis carried out?

    All mutually exclusive options are listed in order of increasing effect with their costs. Options that cost more and achieve less than another are removed, then those beaten by a combination of two others. Incremental ratios are calculated between each surviving option and the next less effective one, producing a sequence of ratios rather than a set of comparisons against a common baseline. The most effective option whose incremental ratio remains below the threshold is selected. Presenting the full table, including the options removed and the reason for each, is what allows a reader to verify the sequence rather than accepting the final ratio on trust.

    Source: Drummond et al. 2015

  • Why does a fully incremental analysis compare against the next best option?

    Because the decision at each step is whether to move up from the option below, and the relevant question is what that step costs per unit of additional health. Comparing every option against a common baseline answers a different question and produces ratios that cannot be used sequentially. An option can appear acceptable against the baseline while the step from the option immediately beneath it is poor value, and only the incremental comparison reveals that. The distinction becomes visible only when the options are laid out in order, which is why the tabular presentation is part of the method rather than a formatting preference.

    Source: Drummond et al. 2015

  • What does a fully incremental analysis require of the option set?

    That the options are mutually exclusive, so choosing one precludes the others, and that the set is complete, since an option omitted at the start cannot enter later and its absence may change which of the others sits on the frontier. It also requires costs and effects estimated on a consistent basis across all options, since a difference in method between two of them will appear as a difference in performance. Where an option was excluded before analysis on clinical or practical grounds, that should be stated, since the exclusion affects the frontier as much as any calculation.

    Source: Gold, Siegel, Russell & Weinstein 1996

  • What is the commonest error in a fully incremental analysis?

    Calculating each option's ratio against a fixed comparator such as usual care and then reading them as a ranking. This omits both the ordering and the extended dominance check, so options are compared against something other than the alternative they would actually displace. The resulting figures look like incremental ratios and cannot be used with a threshold, and the error is not visible from the output alone. A ranking produced this way frequently recommends a different option from the correct procedure, and the discrepancy is largest where the options are closely spaced.

    Source: Drummond et al. 2015

  • How does a fully incremental analysis handle uncertainty?

    Sequential removal based on point estimates can be reversed once distributions are considered, so options discarded as dominated may be optimal in some simulations. Probabilistic analysis therefore compares expected net benefit across the whole option set rather than working through the sequence, and reports acceptability for each option across a range of thresholds. The deterministic sequence retains its value for structuring and presenting the comparison. Reporting both the deterministic sequence and the probabilistic comparison is now common practice, since each communicates something the other does not. The two also serve different audiences, since the deterministic table shows what was compared and the probabilistic result shows how confidently the recommendation can be made.

    Source: Briggs, Claxton & Sculpher 2006

Trust Record

Verified by Dr Darrin Baines

British health economist

Professional identity: darrinbaines.org

Verification date: 6 Aug 2025

Content version: 1.0.0

Canonical Identity

Term code
HE-EE-CEA-031

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