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92<br />

Review <strong>of</strong> <strong>economic</strong> evaluations <strong>of</strong> ADHD drug interventions in children <strong>and</strong> adolescents<br />

TABLE 75 Results <strong>of</strong> amendments to <strong>the</strong> cost–utility <strong>model</strong> submitted by Janssen-Cilag<br />

Amendment Comparison Incremental cost<br />

per QALY (£)<br />

None – base case Concerta XL vs IR-MPH 4,992<br />

Second-line combination <strong>the</strong>rapy with DEX (1) Concerta XL vs IR-MPH 4,903<br />

Including drug costs during titration (2) Concerta XL vs IR-MPH 7,954<br />

Taking BT component out <strong>of</strong> cost <strong>of</strong> discontinuing treatment (3)<br />

Including co-morbidity costs as additional to<br />

Concerta XL vs IR-MPH 19,303<br />

responder/non-responder costs (4) Concerta XL vs IR-MPH 61<br />

All <strong>of</strong> <strong>the</strong> above (1-4) Concerta XL vs IR-MPH 9,253<br />

Model structure<br />

The <strong>model</strong> assumes <strong>the</strong> same response to<br />

combination treatment (i.e. drug treatment<br />

plus BT), regardless <strong>of</strong> <strong>the</strong> accompanying drug<br />

<strong>the</strong>rapy. The <strong>model</strong> allows <strong>the</strong> combination<br />

treatment to include <strong>the</strong> drug to which <strong>the</strong><br />

patient has previously failed to respond, or<br />

experienced adverse events with as first-line<br />

<strong>the</strong>rapy. A more realistic assumption would have<br />

been to have combination treatment with DEX,<br />

according to <strong>the</strong> assumption used for third-line<br />

pharmaco<strong>the</strong>rapy in <strong>the</strong> <strong>model</strong>. This amendment<br />

forms option 1 for <strong>the</strong> re-analyses shown in<br />

Table 75.<br />

Errors in <strong>model</strong><br />

As mentioned earlier in <strong>the</strong> <strong>review</strong>, <strong>the</strong> annual cost<br />

<strong>of</strong> each drug excludes <strong>the</strong> cost during <strong>the</strong> average<br />

titration period [Confidential information<br />

removed]. This appears to have been omitted in<br />

error. Correcting for this error forms option 2 for<br />

<strong>the</strong> re-analyses shown in Table 75. An alternative<br />

method would be to calculate more precisely a<br />

weighted average cost using <strong>the</strong> actual number <strong>of</strong><br />

days spent on each dosage, ra<strong>the</strong>r than <strong>the</strong><br />

average over all doses. The monthly cost <strong>of</strong> a<br />

patient discontinuing all treatments is assumed to<br />

be equal to that for a non-responder to BT, but in<br />

<strong>the</strong> <strong>model</strong> <strong>the</strong> cost also includes <strong>the</strong> total cost <strong>of</strong> a<br />

BT treatment programme divided by 12. The<br />

reasons for this are unclear; such a patient would<br />

not receive <strong>the</strong> BT programme, only <strong>the</strong> follow-up<br />

consultations <strong>and</strong> tests. This extra monthly cost is<br />

fairly high (£86), <strong>and</strong> <strong>the</strong> effect <strong>of</strong> its removal can<br />

be seen in option 3 in Table 75. Ano<strong>the</strong>r error<br />

appears to be present in <strong>the</strong> way that <strong>the</strong> cost <strong>of</strong><br />

co-morbidity is included in <strong>the</strong> <strong>model</strong>. As Table 69<br />

shows, <strong>the</strong> annual medical cost associated with comorbidities<br />

for patients receiving medical<br />

treatment is lower than that for responders <strong>and</strong><br />

non-responders. Hence <strong>the</strong> 50% <strong>of</strong> nonresponders<br />

who are assumed to have co-morbid<br />

conditions cost less than those without comorbidities.<br />

It appears that <strong>the</strong> quoted cost <strong>of</strong> comorbidities<br />

actually refers to <strong>the</strong> additional cost <strong>of</strong><br />

co-morbidities, on top <strong>of</strong> medical costs for<br />

responders <strong>and</strong> non-responders. This forms<br />

option 4 in Table 75.<br />

The assumption that <strong>the</strong> utility for <strong>the</strong> first month<br />

<strong>of</strong> any treatment is equal to [Confidential<br />

information removed] seems ra<strong>the</strong>r arbitrary. An<br />

alternative approach would have been to observe<br />

<strong>the</strong> number <strong>of</strong> patients responding at 1 month for<br />

each treatment, <strong>and</strong> assume that on average <strong>the</strong>se<br />

patients responded half way through <strong>the</strong> first<br />

month.<br />

When re-run, <strong>the</strong> results <strong>of</strong> <strong>the</strong> probabilistic<br />

analysis proved to be fairly variable. This can be<br />

overcome by increasing <strong>the</strong> number <strong>of</strong> simulations<br />

from 1000 to, for example, 10,000.<br />

In <strong>the</strong> probabilistic sensitivity analysis, <strong>the</strong><br />

proportions switching to each second-line <strong>the</strong>rapy<br />

were <strong>model</strong>led independently. This allowed <strong>the</strong><br />

sum <strong>of</strong> those proportions to fall below or exceed<br />

one in nearly all simulations. Clearly, it is not<br />

appropriate in a decision-<strong>model</strong>ling context to<br />

have proportions or probabilities not summing<br />

to one when all possible paths have been<br />

identified. Therefore, for <strong>the</strong> two transitions<br />

possible following first-line BT, this error is<br />

corrected by making one <strong>of</strong> those probabilities (for<br />

example, <strong>the</strong> probability <strong>of</strong> switching to DEX)<br />

equal to one minus <strong>the</strong> o<strong>the</strong>r. For <strong>the</strong> three<br />

transitions possible following first-line<br />

pharmaco<strong>the</strong>rapy, this error is corrected by<br />

dichotomising <strong>the</strong> three-way transition <strong>and</strong><br />

adjusting <strong>the</strong> estimated probabilities appropriately<br />

using Bayes’ revision <strong>the</strong>orem. These adjustments<br />

ensure that <strong>the</strong> number <strong>of</strong> patients in <strong>the</strong> <strong>model</strong><br />

remains constant <strong>and</strong> does not increase or<br />

decrease.

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