Functions & Formulae

Each applied formula has its own function page, with a signature, implementations, and tests.

Extended dominance function

x(C_j,E_j) = EXD_j

Maps the expected costs and effects of options that survive the dominance screen, ordered by effect, to a flag for each intermediate option that a blend of its neighbours would beat.

  • Extended dominance condition for three ordered options

    D_M = (C_M - C_L) / (E_M - E_L) - (C_H - C_M) / (E_H - E_M)

    Subtracts the sequential ICER of the next more effective option from the sequential ICER of the middle of three consecutive options, ordered by expected effect. The middle option is extendedly dominated when the difference is greater than zero.

  • Cost of the blend that matches the middle option

    p = (E_M - E_L) / (E_H - E_L); C_mix = C_L + p * (C_H - C_L); S_mix = C_M - C_mix

    Finds the share p of the population given the more effective neighbour H, with the remainder given L, so that the blend matches the expected effect of M, then the saving of that blend against M. A positive saving means M lies above the frontier and is extendedly dominated.