Descriptive statistics
Mean scores and standard deviations for the BFS and BPM total scale and subscales are presented in Appendix 1.
Tests of Reliability
Internal reliability was good for the BFS youth (Cronbach’s α = .84), and for subscales of internalizing (Cronbach’s α = .89) and externalizing problems (Cronbach’s α = .84). For the BFS caregiver version, internal reliability was equally good (Cronbach’s α = .85), and excellent for subscales of internalizing (Cronbach’s α = .90) and externalizing (Cronbach’s α = .91) problems. Internal reliability was good for both the BPM-P (total Cronbach’s α = .84; internalizing Cronbach’s α = .81; externalizing Cronbach’s α = .85; attention problems Cronbach’s α = .84) and the BPM-Y (total Cronbach’s α = .85; internalizing Cronbach’s α = .84; externalizing Cronbach’s α = .74; attention problems Cronbach’s α = .78).
Inter-rater reliability, between patient and caregiver reports, was indicated by an interclass correlation coefficient of 0.64 (p = .000) for the BFS total score, 0.73 (p = .000) for the BFS internalizing subscale, and 0.69 (p = .000) for the BFS externalizing subscale. For the BPM, the inter-rater reliability was lower, with an interclass correlation coefficients of 0.52 (p = .000) for the BPM total, 0.65 (p = .000) for the internalizing scale, 0.67 (p = .000) for the externalizing scale, and 0.64 (p = .000) for the attention problems scale.
Factor structure
BPM factor structure. The three-factor model previously shown for the BPM was not confirmed in the current sample for neither the caregiver nor the youth report. For the BPM-P, chi square test for model fit was significant and none of the indices for approximate model fit were acceptable (χ2 = 766.67, df =149, RMSEA = .10, TLI = .88, CFI = .90, SRMR = .11). BPM-Y was only on par with two of the four model fit indices in our analysis plan (χ2 = 386.18, df =149, RMSEA = .06 and SRMR = .08, but with CFI = .94 and TLI = .93). Introducing a new factor by splitting internalizing into depression and anxiety items significantly increased model fit. This resulted in a four-factor model that performed well on all four investigated model fit indices for youth reports (χ2 = 302.99, df = 146, RMSEA = .05, CFI = .96, TLI = .95, SRMR = .07); however, model fit was still inadequate for the caregiver report data (χ2 = 701.74, df = 146, RMSEA = .10, CFI = .91, TLI = .89, SRMR = .10).
In this four-factor model, four items loaded on depression (in BPM-Y .67–.83, in BPM-P .61–.77), two items loaded on anxiety (in BPM-Y .87–.88, in BPM-P .80–.95), seven loaded on externalizing (in BPM-Y .50–.79, in BPM-P .64–.87) and six loaded on attention problems (in BPM-Y .50–.89, in in BPM-P .53–.92).
All BPM subscales were highly correlated with the total score in both caregiver and youth reports (r = .70 – .80), except caregiver reports for internalizing, which were moderately correlated with total problems (r = .52). In the BPM subscales, there was a substantial correlation between externalizing and attention problems (caregiver r = .53, youth r = .53) but weak correlation between internalizing and externalizing (caregiver r = .09, youth r = .33), and internalizing and attention problems (caregiver r = .03, youth r = .32).
BFS factor structure. We attempted to reproduce Weisz et al.'s (2019) two-factor structure for both the caregiver and youth report versions of BFS through using CFA. Model fit for the two-factor model of the BFS was unsatisfactory (caregiver report: χ2 = 544.88, df = 53, RMSEA = .14, CFI = .96, TLI = .95, SRMR = .07, and youth report: χ2 = 291.45, df = 53, RMSEA = .10, CFI = .97, TLI = .96, SRMR = .06). As for the BPM, splitting the internalizing factor into a depression factor and an anxiety factor significantly improved model fit for both the caregiver and youth report data. In the BFS Youth, with a 3-factor model, the model fit was acceptable on all the fit indices considered (χ2 = 192.39, df = 51, RMSEA = .08, CFI = .98, TLI = .97, SRMR = .05). For the caregiver version, the three-factor model of externalizing, anxiety and depression obtained adequate model fit on three of the five fit indices (χ2 = 347.33, df = 51, RMSEA = .11, CFI = .98, TLI = .97, SRMR = .05).
For the caregiver report, three items loaded on a depression factor, with loadings between .80 and .96, three items loaded on an anxiety factor, with loadings between .85 and .92, and the remaining six items loaded between .81 and .90 on an externalizing latent factor. The same items in BFS youth loaded on similar latent factors, with loadings of .80– .95, .73–.90, and .69–.86, respectively.
Caregiver-reported internalizing and externalizing through the BFS were weakly correlated (r = .15, p < .001), but each of the subscales was highly correlated with BFS total problems, with internalizing-total r = .78, p < .001 and externalizing-total r = .73, p < .001. A similar pattern emerged in the youth-reported BFS, with internalizing-externalizing r = .22, p < .001, internalizing-total r = .87, p < .001, and externalizing-total r = .67, p < .001.
Convergent validity
Convergent validity analysis was performed by exploring the relationship between BFS and BPM scores. The correlations between the BFS subscales and the BPM subscales is presented in Table 1 (caregiver-report) and in Table 2 (youth-report).
The BFS total problem score was highly correlated with BPM total scores for both caregiver (r = .69, p < .000) and youth reports (r = .77 p < .000). Scores for BFS internalizing were highly correlated with BPM internalizing for both caregiver (r = .74, p < .01) and youth reports (r = .83, p < .01). Moreover, high correlations were obtained between BFS externalizing and BPM externalizing for caregiver (r = .83, p < 0.01) and youth reports (r = .76, p < 0.01). Smaller correlations were seen between measures of internalizing and externalizing problems, and moderate associations were obtained between all measures of externalizing problems and BPM attention problems.
Table 1
Sum score correlations - caregiver report
|
|
BFS int
|
BFS ext
|
BPM int
|
BPM ext
|
BPM att
|
BFS int
|
1.000
|
.148**
|
.744**
|
.117*
|
.013
|
BFS ext
|
.148**
|
1.000
|
-.016
|
.828**
|
.502**
|
BPM int
|
.744**
|
-.016
|
1.000
|
.087
|
.031
|
BPM ext
|
.117*
|
.828**
|
.087
|
1.000
|
.530**
|
BPM att
|
.013
|
.502**
|
.031
|
.530**
|
1.000
|
Correlations between measures of similar constructs in bold.
**. Significant at the 0.01 level (2-tailed).
*. Significant at the 0.05 level (2-tailed).
|
Table 2
Sum score correlations - youth report
|
|
BFS int
|
BFS ext
|
BPM int
|
BPM ext
|
BPM att
|
BFS int
|
1.000
|
.215**
|
.834**
|
.171**
|
.250**
|
BFS ext
|
.215**
|
1.000
|
.193**
|
.763**
|
.496**
|
BPM int
|
.834**
|
.193**
|
1.000
|
.204**
|
.325**
|
BPM ext
|
.171**
|
.763**
|
.204**
|
1.000
|
.532**
|
BPM att
|
.250**
|
.496**
|
.325**
|
.532**
|
1.000
|
Correlations between measures of similar constructs in bold
**. Significant at the 0.01 level (2-tailed).
|
Relations between subscales and diagnostic groups
Overall, 256 participants had one or more internalizing diagnoses and 131 participants had one or more externalizing diagnoses. Fifty-six participants only had diagnoses that we did not code into internalizing or externalizing problems, while 126 were missing diagnoses due to early drop out, early termination of therapy, or administrative errors.
Patients that were given diagnoses with either predominantly internalizing or externalizing difficulties had higher scores on the respective internalizing and externalizing subscales of BFS/BPM. The patients with an internalizing diagnosis reported a 1.9 times higher score on BFS internalizing self-report than the patients without such a diagnosis. Likewise, BFS internalizing caregiver-reported scores were 1.7 times higher for the patients with an internalizing diagnosis. BPM-Y internalizing scores were 1.8 times higher and BPM-P internalizing scores 1.5 times higher for patients with internalizing diagnoses than for those without. For patients with externalizing diagnoses, higher scores were obtained on BFS youth externalizing (1.7 times), on BFS caregiver externalizing (1.7 times), on BPM-Y externalizing (1.7 times) and on BPM-P externalizing (1.5 times) than for those without such diagnoses.