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Table 1 Experimental groups of the fractional factorial design

From: Implementing multifactorial psychotherapy research in online virtual environments (IMPROVE-2): study protocol for a phase III trial of the MOST randomized component selection method for internet cognitive-behavioural therapy for depression

Condition Functional Analysis Concrete training Compassion Absorption Relaxation Activity Scheduling Thought Challenging
1 no no no no no yes yes
2 yes no no no no no no
3 no no yes no no no no
4 yes no yes no no yes yes
5 no no no yes no yes no
6 yes no no yes no no yes
7 no no yes yes no no yes
8 yes no yes yes no yes no
9 no yes no no no no no
10 yes yes no no no yes yes
11 no yes yes no no yes yes
12 yes yes yes no no no no
13 no yes no yes no no yes
14 yes yes no yes no yes no
15 no yes yes yes no yes no
16 yes yes yes yes no no yes
17 no no no no yes no yes
18 yes no no no yes yes no
19 no no yes no yes yes no
20 yes no yes no yes no yes
21 no no no yes yes no no
22 yes no no yes yes yes yes
23 no no yes yes yes yes yes
24 yes no yes yes yes no no
25 no yes no no yes yes no
26 yes yes no no yes no yes
27 no yes yes no yes no yes
28 yes yes yes no yes yes no
29 no yes no yes yes yes yes
30 yes yes no yes yes no no
31 no yes yes yes yes no no
32 yes yes yes yes yes yes yes
  1. Note: Every factor occurs an equal number of times at high and low levels (i.e. balanced) and all factors are orthogonal to each other. Each effect estimate involves all 32 of the conditions in Table 1, thereby maintaining the power associated with all participants. This Resolution IV design means that all main effects are aliased with 3-way and higher interactions, and all 2-way interactions are aliased with 2-way and higher interactions, on assumption that non-negligible 3-way interactions are unlikely. In contrast, a standard RCT is aliased for all main effects and interactions of treatment components