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. Author manuscript; available in PMC: 2023 May 10.
Published in final edited form as: Am J Psychiatry. 2022 Nov 9;179(12):947–958. doi: 10.1176/appi.ajp.21100999

Table 1. Clinical and neurocognitive outcome estimated marginal means at post-treatment and follow-up, fixed-effect, and simple-effect statistics.

Measures EMM Post-treatment EMM Follow-up Fixed effects Simple effects
Sham Active Sham Active Group Time Group × Time Post-treatment Follow-up
M (SE) M (SE) M (SE) M (SE) F p F p F p F p F p
A. Primary clinical outcome
ADHD RS Total (P) 28.7 1.48 30.6 1.48 32.7 1.53 33.2 1.48 0.48 .49 8.44 .005* 0.37 .55 0.84 .36 0.06 .80
B. Secondary clinical outcomes
Conners 3P ADHD Index (P) 11.7 0.76 11.8 0.76 12.0 0.78 12.1 0.77 0.01 .93 0.20 .66 0.001 .98 0.004 .95 0.008 .93
ARI (P) 0.63 0.07 0.83 0.07 0.91 0.07 0.81 0.07 0.34 .56 6.50 .013 7.73 .007a* 4.04 .046* 1.03 .31
ARI (C) 0.63 0.06 0.63 0.06 0.63 0.06 0.63 0.06 0.03 .86 0.28 .60 0.031 .86 0.063 .80 <.001 .99
MEWS (C) 16.4 1.01 15.2 1.04 15.2 1.04 13.5 1.02 1.78 .19 2.32 .13 0.06 .82 0.75 .39 1.32 .25
CIS (P) 18.4 1.19 21.0 1.19 -- -- -- -- 2.42 .12 -- -- -- -- -- -- -- --
WREMB-R (P) 17.2 0.95 19.8 0.95 -- -- -- -- 3.66 .06 -- -- -- -- -- -- -- --
Side effects (P) 12.5 1.08 12.5 1.08 -- -- -- -- 0.22 .64 -- -- -- -- -- -- -- --
Adverse effects (P) 16.7 0.56 15.2 0.56 -- -- -- -- 3.75 .06 -- -- -- -- -- -- -- --
C. Secondary cognitive outcomes
Go/no-go probability of inhibition 55.0 2.15 48.5 2.01 50.6 2.1 54.5 2.03 0.12 .73 0.58 .45 8.78 .004b* 4.45 .037* 2.12 .15
Simon incompatibility RT effect 61.1 3.91 62.1 3.66 52.0 3.82 59.6 3.7 1.79 .19 1.89 .17 1.12 .29 0.24 .63 2.76 .10
CPT omission errors 9.46 1.24 10.6 1.16 10.6 1.16 12.1 1.17 0.95 .33 1.76 .19 0.03 .87 0.82 .37 0.43 .51
CPT commission errors 1.37 0.30 1.53 0.28 1.42 0.29 1.76 0.28 0.09 .76 1.96 .17 0.67 .42 0.03 .86 0.46 .50
MCT omission errors 29.5 2.19 32.1 2.07 32.1 2.15 31.2 2.09 0.11 .74 0.28 .60 1.29 .26 0.10 .76 0.72 .40
MCT commission errors 5.99 0.70 5.13 0.66 4.63 0.69 4.36 0.67 0.34 .56 0.10 .76 0.001 .97 0.28 .60 0.22 .64
WCST perseverative errors 6.22 0.54 7.7 0.51 6.07 0.53 7.23 0.52 0.27 .61 8.93 .004c* 0.17 .68 0.03 .86 0.42 .52
WCST non-perseverative errors 7.14 0.81 9.64 0.78 7.72 0.80 8.63 0.78 0.02 .89 8.81 .004d* 0.34 .56 0.05 .83 0.18 .67
Working memory total score 28.2 1.94 26.5 1.83 30.5 1.91 27.5 1.85 0.56 .46 2.47 .12 0.18 .67 0.56 .46 2.47 .12
Composite response prematurity 2.63 0.35 3.5 0.33 2.97 0.34 2.7 0.33 1.34 .25 2.69 .11 5.58 .02 5.65 .019* 0.18 .68
Composite processing speed 375.0 4.88 382.6 4.63 362.5 4.81 381.5 4.68 1.16 .29 16.9 <.001e* 4.25 .04 0.002 .97 3.60 .06
Composite response variability 0.28 0.01 0.29 0.01 0.28 0.01 0.28 0.01 0.49 .48 1.35 .25 3.82 .05 3.00 .09 0.27 .60

Abbreviations. EMM = estimated marginal mean; M = mean; SE = standard error; ADHD-RS = ADHD Rating Scale; ARI = Affective Reactivity Index, MEWS=Mind Excessively Wandering Scale, CIS = Columbia Impairment Scale; WREMB-R = Weekly Rating of Evening and Morning Behavior-Revised; (P/C) = (Parent/Children); CPT=continuous performance task; MCT=Mackworth clock vigilance task; WCST=Wisconsin card sorting task. All p-values are presented uncorrected for multiple comparison. False discovery rate correction for multiple comparison on the fixed effects yielded p FDR = a.028; b.048; c.024; d.016; e.012. Simple-effect p-values were uncorrected.