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11-Nov-2004
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Arch Hellen Med, 21(3), May-June 2004, 289-306 APPLIED MEDICAL RESEARCH The treatment threshold probability A.G. KΑLLIAKMANIS |
The treatment threshold probability after clinical examination
is by definition the disease probability when the expected value of treatment
is equal to the expected value of no treatment-“attentive waiting”. The outcomes
are distinguished proportionately by the number and the content into dichotomous
and polytomous. In dichotomous outcomes with zero value (i.e. death) the treatment
threshold after clinical examination (P*) will be: P*=1/ (B/C+1), while in dichotomous
outcomes with a value other than or in polytomous outcomes, the treatment threshold
after clinical examination is connected with the expected benefit (EB) and expected
harm (EC) as follows: P*=1/(EB/EC+1). In a clinical problem with diagnostic
uncertainty the following formulae apply: (a) If P(D+)>P* and EV(Rx+)>EV(Rx–),
then the treatment is certain. (b) If P(D+)< P* and EV(Rx+) >EV(Rx–),
then no treatment or “attentive waiting” is the preferable solution. (c) If
P(D+)< P* and EV(Rx+)>EV(Rx–), then treatment
is not given, but an attempt is made with diagnostic test or tests to increase
the probability of disease presence (the positive predictive value of test to
approach a). (d) If P(D+)>P* and EV(Rx+)< EV(Rx–),
then treatment is not given, but reinvestigation of literature is indicated
for the existence of random error in the “predominance” treatment choice, and
(e) if P(D+)=P* and EV(Rx+EV(Rx–),
then the principle of indifference applies. If treatment is applied, for each
patient who is correctly treated, P(D+)/P(D–) non-patients
will be treated mistakenly.>
Key words: Clinical, Decision, Probability, Threshold, Treatment.