11.2 Power analyses
Our planned intention to treat analyses will compare APT against SSMC alone, and both
CBT and GET against APT. Assuming a = 5 % and a power of 90 %, we require a
minimum of 135 participants in the SSMC alone and APT groups, 80 participants in the
GET group and 40 in the CBT group.E553 However these last two numbers are insufficient
to study predictors, process, or cost-effectiveness. We will not be able to get a precise
estimate of the difference between CBT and GET, though our estimates will be useful in
planning future trials. As an example, to detect a difference in response rates of 50% and
60%, with 90% power, would require 520 participants per group; numbers beyond a
realistic two-arm trial. Therefore, we will study equal numbers of 135 participants in each
of the four arms, which gives us greater than 90 % power to study differences in efficacy
between APT and both CBT and GET. We will adjust our numbers for dropouts, at the
same time as designing the trial and its management to minimise dropouts. Dropout rates
were 12 and 33 % in the two studies of GETE 23' 243 and 3, 10, and 40 % in the three
studies of rehabilitative CBT. {18' 25' 263 On the basis of our own previous trials, we estimate
a dropout rate of 10 %. We therefore require approximately 150 participants in each
treatment group, or 600 participants in all. Calculation of the sample size required to
detect economic differences between treatment groups requires data of cost per change in
outcome, which is not currently available.