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. Author manuscript; available in PMC: 2011 Nov 1.
Published in final edited form as: Am J Drug Alcohol Abuse. 2010 Oct 14;36(6):342–349. doi: 10.3109/00952990.2010.500437

TABLE 3.

Fundamental and advanced MI skills, and MI inconsistent strategies adherence and competence ratings by treatment condition, program site, and therapist (nested in condition): univariate and multivariate ANOVAs.

ANOVA MIA CAU Treatment Condition Program Site Treatment by Site Therapist (in condition)
Univariate
Fundamental MI Skills
 Adherence M = 4.43 2.83 F = 125.98 9.64 1.34 9.52
SD = 1.03 1.13 df = 1,232 3,232 3,232 2,232
N = 154 150 p < .001 p < .001 p=.26 p < .001
 Competence M = 4.84 4.05 F = 22.00 10.93 1.70 9.91
SD = .79 .83 df = 1,196 3,196 3,196 2,196
N =154 145 p < .001 p < .001 p = .39 p < .001
Advanced MI Skills
 Adherence M = 3.32 1.90 F = 196.96 6.92 5.47 1.74
SD = .95 .60 df = 1,232 3,232 3,232 2,232
N = 154 150 p < .001 p < .001 p < .001 p =.18
 Competence M = 4.69 4.05 F = 14.80 7.93 5.66 7.84
SD = .75 .88 df = 1,196 3,196 3,196 2,196
N = 153 143 p < .001 p < .001 p = .01 p < .001
MI Inconsistent Strategies
 Adherence M = 2.26 2.52 F = 3.43 8.33 1.58 1.14
SD = 1.26 1.35 df =1,232 3,232 3,232 2,232
N = 154 150 p = .07 p < .001 p = .20 p = .32
 Competence M = 4.19 4.00 F = 1.99 3.29 1.66 2.41
SD = .75 .76 df = 1,196 3,196 3,196 2,196
N = 126 134 p = .06 p=.11 p=.38 p=.11
Multivariate
 Adherence i = .48 .19 .09 .09
F = 70.62 18.39 8.00 8.03
df = 3,230 3,232 3,232 3,231
p < .001 p < .001 p < .001 p < .001
 Competence i = .18 .09 .06 .09
F = 14.60 6.70 4.28 6.31
df = 3,194 3,196 3,196 3,195
p < .001 p < .001 p < .001 p < .001

Note: For univariate ANOVAs, p-values ≤.0084 (Bonferroni-correction of .05/6) are significant. MIA = motivational interviewing assessment; CAU =counseling-as-usual. Univariate ANOVAs (for tests of adherence and competence differences) and multivariate ANOVAs (for deriving Roy's theta) included two MIA and CAU therapists from each site who had five or more unique client sessions that had been independently rated (MI =242/315). Roy's theta θ provides an estimate of the amount of variance accounted for by each effect involving adherence and competence ratings, with each set of ratings entered simultaneously in separate multivariate models (21).