Table 2.
Causality testing for each participant
| Participant | Condition | Null hypothesis | Parameter(s) constrained | χ2 | df | p |
|---|---|---|---|---|---|---|
| 1 | CBT | Worry −/→ anxiety | φ421=0 | 9.66 | 1 | .002 |
| Anxiety −/→ worry | φ412=0 | 4.81 | 1 | .030 | ||
| 2 | CBT | Worry −/→ anxiety | θ821=0 | 7.63 | 1 | .010 |
| Anxiety −/→ worry | θ812=0 | 13.32 | 1 | .000 | ||
| 3 | CBT | Worry −/→ anxiety | φ121=0 | 10.30 | 1 | .001 |
| Anxiety −/→ worry | θ312=0 | 11.92 | 1 | .000 | ||
| 4 | CBT | Worry −/→ anxiety | φ421=0 | 18.61 | 1 | .000 |
| Anxiety −/→ worry | φ312=0 | 6.31 | 1 | .010 | ||
| 5 | CBT | Worry −/→ anxiety | φ1021=0 | 24.67 | 1 | .000 |
| Anxiety −/→ worry | φ1012=0 | 14.28 | 1 | .000 | ||
| 6 | CBT | Worry −/→ anxiety | φ121=0 | 15.78 | 1 | .000 |
| Anxiety −/→ worry | φ612=0 | 16.13 | 1 | .000 | ||
| 7 | CBT | Worry −/→ anxiety | ns | |||
| Anxiety −/→ worry | ns | |||||
| 8 | CBT | Worry −/→ anxiety | θ421=0 | 20.83 | 1 | .000 |
| Anxiety −/→ worry | ns | |||||
| 9 | CBT | Worry −/→ anxiety | φ921=0 | 5.98 | 1 | .020 |
| Anxiety −/→ worry | θ112=0 | 13.84 | 1 | .000 | ||
| 10 | CBT | Worry −/→ anxiety | θ121=0 | 8.05 | 1 | .004 |
| Anxiety −/→ worry | θ112=0 | 10.96 | 1 | .000 | ||
| 11 | AR | Worry −/→ anxiety | θ121=0 | 16.65 | 1 | .000 |
| Anxiety −/→ worry | ns | |||||
| 12 | AR | Worry −/→ anxiety | ns | |||
| Anxiety −/→ worry | φ112=0 | 9.59 | 1 | .002 | ||
| 13 | AR | Worry −/→ anxiety | φ821=0 | 4.53 | 1 | .030 |
| Anxiety −/→ worry | φ812=0 | 4.80 | 1 | .030 | ||
| 14 | AR | Worry −/→ anxiety | φ121=0 | 20.83 | 1 | .000 |
| Anxiety −/→ worry | φ112=0 | 56.45 | 1 | .000 | ||
| 15 | AR | Worry −/→ anxiety | φ221=0 | 31.54 | 1 | .000 |
| Anxiety −/→ worry | φ112=0 | 12.55 | 1 | .000 | ||
| 16 | AR | Worry −/→ anxiety | θ321=0 | 10.81 | 1 | .001 |
| Anxiety −/→ worry | φ312=0 | 12.57 | 1 | .000 | ||
| 17 | AR | Worry −/→ anxiety | ns | |||
| Anxiety −/→ worry | ns | |||||
| 18 | AR | Worry −/→ anxiety | θ121=0 | 7.87 | 1 | .005 |
| Anxiety −/→ worry | θ112=0 | 16.86 | 1 | .000 | ||
| 19 | AR | Worry −/→ anxiety | θ121=0 | 132.81 | 1 | .000 |
| Anxiety −/→ worry | θ112=0 | 4.94 | 1 | .030 | ||
| 20 | AR | Worry −/→ anxiety | φ221=0 | 6.60 | 1 | .010 |
| Anxiety −/→ worry | φ212=0 | 43.33 | 1 | .000 |
Note. CBT=cognitive behavioural therapy; AR=applied relaxation; −/→=does not predict; φ=autoregressive parameter; θ=moving parameter; ns=a parameter that was not significant at any lag (a test was not carried out because causality was not demonstrated).