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. Author manuscript; available in PMC: 2016 Jun 1.
Published in final edited form as: J Consult Clin Psychol. 2015 Jun;83(3):655–661. doi: 10.1037/ccp0000024

Table 2. Lagged Multilevel Moderated Mediation Analysis.

c a b c′ ab

Treatment Change in Y Change in M M→Y controlling for time Change in Y controlling for M Indirect effect [95% CI] Percent mediation (%)
Model 1: time → negative cognitions (M) → PTSD (Y)
PE + NAL -2.33*** -8.22***a 0.09*** -1.60*** -0.73 [-0.32, -1.21] 31.5
PE + PBO -2.56*** -5.65***a 0.10*** -1.97*** -0.59 [-0.26, -0.99] 22.9
SC + NAL -1.56*** -5.42***a 0.09*** -1.09** -0.47 [-0.20, -0.82] 30.1
SC + PBO -1.60*** -1.77b 0.10*** -1.43*** -0.17 [0.05, -0.45] 10.8
Reverse model:time → PTSD (M) → negative cognitions (Y)
PE + NAL -6.58*** -3.33***a 1.06*** -3.03 -3.55 [-5.71, -1.55] 53.9
PE + PBO -4.82** -2.68***a 0.92** -2.36 -2.46 [-4.36, -0.75] 51.1
SC + NAL -4.04** -1.97***b 0.71* -2.63 -1.41 [-2.82, -0.17] 34.9
SC + PBO -1.86 -1.80***b 0.52 -0.91 -0.94 [-2.27, 0.25] 50.9

Model 2: time → craving (M) → drinking (Y)
PE + NAL -2.30* -2.06***a 0.81** -0.65 -1.65 [-0.48, -2.92] 71.7
PE + PBO -1.40 -1.60*** 0.75** -0.20 -1.21 [-0.38, -2.14] 86.1
SC + NAL 0.96 -1.39***b 0.17 1.21a -0.23 [0.49, -0.97] a
SC + PBO -2.83*** -1.48***b 0.71** -1.80**b -1.01 [-0.25,-1.87] 35.8
Reverse model: time → drinking (M) → craving (Y)
PE + NAL -0.87** -8.44*** 0.032 -0.61* -0.27 [-0.61, 0.06] 30.6
PE + PBO -0.81** -7.75*** 0.034* -0.55 -0.26 [-0.51, -0.00] 32.5
SC + NAL -0.75** -7.23*** 0.00 -0.72** -0.03 [-0.28, 0.21] 4.1
SC + PBO -1.04*** -8.22*** 0.035 -0.75** -0.29 [-0.60, 0.01] 27.8

Model 3a: time → PTSD (M) → craving (Y)
PE + NAL -1.33*** -3.33***a 0.10 -1.01*** -0.33 [0.05, -0.72] 24.5
PE + PBO -1.25*** -2.68***a 0.21*** -0.67* -0.57 [-0.25, -0.93] 45.9
SC + NAL -0.97*** -1.97***b 0.07 -0.83** -0.14 [0.10, -0.41] 14.8
SC + PBO -1.17*** -1.80***b 0.04 -1.10*** -0.07 [0.16, -0.31] 5.8
Reverse model: time → craving (M) → PTSD (Y)
PE + NAL -2.48*** -2.06***a 0.35** -1.74*** -0.73 [-1.28, -0.23] 29.5
PE + PBO -2.16*** -1.60*** 0.10 -2.00*** -0.16 [-0.48, 0.15] 7.4
SC + NAL -1.73*** -1.39***b 0.15 -1.52*** -0.21 [-0.51, 0.06] 12.1
SC + PBO -1.21** -1.48***b 0.07 -1.11** -0.10 [-0.43, 0.22] 8.1

Model 3b: time → PTSD (M) → drinking (Y)
PE + NAL -2.67* -3.33***a 0.39* -1.38 -1.29 [-0.08, -2.56] 48.2
PE + PBO -1.57 -2.68***a 0.11 -1.28 -0.29 [0.72, -1.32] 18.5
SC + NAL 0.31 -1.95***b 0.17 0.60a -0.33 [0.44, -1.15] a
SC + PBO -2.53** -1.80***b 0.25 -2.08**b -0.46 [0.25, -1.21] 17.7
Reverse model: time → drinking (M) → PTSD (Y)
PE + NAL -1.96*** -8.44*** 0.036 -1.65***a -0.30 [-0.69, 0.73] 15.4
PE + PBO -1.72*** -7.75*** 0.037a -1.44** -0.28 [-0.59, 0.01] 16.5
SC + NAL -1.46*** -7.23*** -0.017b -1.58***a 0.12 [-0.14, 0.39] a
SC + PBO -0.76 -8.22*** 0.042*a -0.42b -0.34 [-0.70, -0.01] 45.1

Note. c, a, b, c′ represent the paths of the lagged mediation model as depicted in Figure 2. Bold type for ab (indirect effect) column indicates p < .05. Y = outcome variable; M = mediator; 95% CI = 95 percent confidence interval. Superscripts a and b denote significant difference between two treatment conditions (p < .05). PTSD = posttraumatic stress disorder. PE = prolonged exposure; NAL = Naltrexone; PBO = placebo; SC = supportive counseling.

a

The percent mediation did not apply because the sign of the indirect effect and the total effect was opposite in both cases.

*

p < .05.

**

p < .01.

***

p < .001.