Skip to main content
. Author manuscript; available in PMC: 2026 Aug 24.
Published in final edited form as: Psychother Res. 2025 Aug 24;36(4):760–773. doi: 10.1080/10503307.2025.2523479

Table 2.

Fixed Effects from Mixed Effects Models Examining Long-term Treatment Outcomes

Predictors Estimate 95% CI SE t(df) Std Est 95% CI p

Hope Model (1a)
 Intercept 34.19 32.10, 36.27 1.06 32.27 (69.67) <.001
 Time 0.20 −0.14, 0.54 0.17 1.14 (65.66) 0.04 −0.03, 0.12 .26
Hope Model (1b)
 Intercept 32.40 29.40, 35.39 1.52 21.28 (68.90) <.001
 Time 0.37 −0.12, 0.86 0.25 1.49 (62.33) 0.04 −0.03, 0.12 .14
 Treatment 3.35 −0.74, 7.45 2.08 1.61 (69.47) 0.13 −0.07, 0.34 .11
 Time × Treatment −0.33 −1.01, 0.35 0.34 −0.96 (65.01) −0.04 −0.11 – 0.04 .34
Well-being Model (2a)
 Intercept 45.73 42.50, 48.96 1.64 27.84 (69.23) <.001
 Time −0.19 −0.67, 0.29 0.24 −0.76 (59.67) −0.03 −0.09, 0.04 .45
Well-being Model (2b)
 Intercept 43.92 39.23, 48.61 2.39 18.41 (68.52) <.001
 Time 0.06 −0.63, 0.75 0.35 0.17 (56.67) −0.03 −0.09, 0.04 .86
 Treatment 3.41 −3.00, 9.83 3.26 1.05 (69.03) 0.07 −0.14, 0.29 .30
 Time × Treatment −0.48 1.43, 0.48 0.49 −0.98 (59.31) −0.03 −0.10, 0.03 .33
Well-being Model (3)
 Intercept −12.02 −22.19, −1.84 5.16 −2.32 (66.36) .02
 Within-person Hope 0.88 0.73, 1.03 0.08 11.70 (246.88) 0.26 0.22, 0.30 <.001
 Between-person Hope 0.75 0.49, 1.01 0.13 5.69 (64.46) 0.42 0.28, 0.57 <.001
 PT Well-being 0.59 0.43, 0.74 0.08 7.50 (65.01) 0.58 0.43, 0.73 <.001
 PT Anxiety 0.57 −0.09 – 1.24 0.34 1.70 (64.40) 0.12 −0.02, 0.26 .09
 PT Depression 0.44 −0.10 – 0.99 0.28 1.60 (63.03) 0.11 −0.02, 0.24 .11

Note. PT = post-treatment, Std Est = standardized estimate. Bolded p-values indicate statistical significance at p < .05. Time is modeled as a continuous predictor. Between-Person Hope reflects each individual’s average hope across the long-term follow-up period (i.e., person-mean hope). Within-Person Hope represents fluctuations in an individual’s hope at a given timepoint relative to their own average (i.e., person-centered hope). Model 1a marginal R2 = 0.00, conditional R2 = 0.76; Model 1b marginal R2 = .02, conditional R2 = 0.76; For Model 2a marginal R2 = 0.00, conditional R2 = 0.79; Model 2b marginal R2 = .01, conditional R2 = 0.79; Model 3 marginal R2 = 0.70, conditional R2 = 0.85.