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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