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. Author manuscript; available in PMC: 2017 Jul 1.
Published in final edited form as: J Clin Child Adolesc Psychol. 2016 Mar 8;45(4):442–456. doi: 10.1080/15374416.2016.1138407

Table 4.

Differences in slopes at each stage and AUC between the three embedded adaptive interventions.

Difference / Effect Size
(95% CI for Difference)
(SGD, SGD) vs
(No SGD, No SGD)
(SGD, SGD) vs
(No SGD, SGD)
(No SGD, SGD) vs
(No SGD, No SGD)

Stage 1
Slope*
Stage 2
Slope
AUC Stage 2
Slope
AUC Stage 2
Slope**
AUC
Natural
Language
Sample
    TSCU 1.94 / 0.8
(0.7,3.2)
−0.13 / −0.05
(−0.9,0.6)
18.6 / 0.67
(8,29)
−0.46 / −0.18
(−1.2,0.3)
15.7 / 0.58
(6,25)
0.33 / 0.13
(−0.05,0.8)
2.6 / 0.1
(−0.4,5.6)
    NDWR 0.79 / 0.46
(−0.1,1.7)
0.01 / 0.01
(−0.33,0.37)
8.1 / 0.37
(−0.2,16.3)
−0.18 / −0.13
(−0.62,0.27)
6.5 / 0.30
(−1.7,14.8)
0.19 / 0.13
(−0.05,0.43)
1.5 / 0.07
(−0.4,3.4)
Early Social
Communication
Scale
    IJA 0.36 / 0.43
(0.02,0.7)
−0.08 / −0.1
(−0.28,0.13)
2.9 / 0.43
(0.39,5.5)
−0.15 / −0.18
(−0.36,0.06)
2.4 / 0.35
(−0.1,4.8)
0.07 / 0.08
(0.004,0.13)
0.54 / 0.08
(0.03,1.0)
    IBR 0.17 / 0.21
(−0.2,0.6)
0.03 / 0.03
(−0.21,0.27)
1.9 / 0.24
(−0.7,4.5)
−0.03 / −0.03
(−0.28,0.22)
1.5 / 0.19
(−1.3,4.3)
0.05 / 0.06
(−0.05,0.15)
0.4 / 0.05
(−0.4,1.1)
Structured Play
Assessment
    UPA −0.11 / −0.16
(−0.4,0.2)
0.14 / 0.24
(−0.05,0.3)
0.03 / 0
(−2.1,2.1)
0.13 / 0.23
(−0.07,0.33)
−0.03 / 0
(−2.2,2.2)
0.01 / 0.01
(−0.07,0.09)
0.06 / 0.01
(−0.6,0.7)

Notes.

Abbreviations: SGD—Speech generating device; TSCU—Total socially communicative utterances; NDWR— Number of direct word roots; IJA—Initiating joint attention; IBR—Initiating behavioral regulation; UPA— Unique play acts; AUC—the average area under the estimated longitudinal curve from baseline to week 36 (has the interpretation as the average outcome over the course of the study).

Comparisons with a 95% confidence interval that does not include zero are boldfaced.

*

The stage 1 slopes comparison for (SGD, SGD) vs (No SGD, No SGD) and (SGD, SGD) vs (No SGD, SGD) are identical; hence we report it only once in the (SGD, SGD) vs (No SGD, No SGD) column.

**

The two adaptive interventions beginning with No SGD have identical stage 1 slopes; hence, for the (No SGD, SGD) vs (No SGD, No SGD) comparison, we only report a stage 2 pair-wise comparison.