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. 2022 Nov 14;12:19491. doi: 10.1038/s41598-022-23797-3

Table 3.

Descriptive statistics by group, tests of improvement over time, and group effects.

T1 T2 Test statistic Estimated mean difference (95% CI)
N; M (SD) N; M (SD) t/F (df; p)
Cancellation
Range − 18 to 30 − 18 to 29
Sample 251; 9.44 (7.44) 234; 11.76 (6.78) − 4.38a (233; < 0.001) − 2.26 [− 3.28, − 1.24]
Probiotic 74; 9.26 (6.18) 65; 11.82 (5.45) 2.55b (2, 230; 0.081)
Placebo 79; 7.42 (8.04) 75; 9.85 (6.74)
DAU 98; 11.21 (7.45) 94; 13.24 (7.31)
Numeracy—dots
Range 0–33
Sample 245; 12.75 (7.55)
Probiotic 74; 12.39 (6.73) 4.34b (2, 242; 0.014)
Placebo 77; 11.08 (7.75)
DAU 94; 14.40 (7.73)
Numeracy—numbers
Range 0–32
Sample 245; 9.40 (6.58)
Probiotic 74; 9.12 (6.56) 1.13b (2, 242; 0.324)
Placebo 77; 8.73 (6.02)
DAU 94; 10.18 (7.01)
Flanker
Range 1.05–7.71 1.67–7.86
Sample 82; 4.57 (1.55) 113; 4.76 (1.54) − 2.33a (51; 0.024) − 0.54 [− 1.01, − 0.07]
Probiotic 26; 4.34 (1.53) 33; 4.65 (1.43) 0.20b (2, 48; 0.818)
Placebo 21; 4.56 (1.43) 29; 5.09 (1.46)
DAU 35; 4.74 (1.65) 51; 4.64 (1.66)
Set shifting
Range 3.03–7.21 3.38–7.75
Sample 67; 5.06 (0.80) 100; 5.37 (0.91) − 2.18a (48; 0.034) − 0.33 [− 0.64, − 0.03]
Probiotic 21; 5.12 (0.89) 32; 5.30 (0.85) 0.23b (2, 45; 0.796)
Placebo 15; 5.10 (0.86) 23; 5.39 (0.94)
DAU 31; 4.99 (0.74) 45; 5.40 (0.94)
Go/no go
Range 18–95 35–98
Sample 109; 76.06 (13.16) 140; 77.39 (14.51) − 2.89a (90; 0.005) − 4.62 [− 7.79, − 1.45]
Probiotic 29; 74.90 (12.80) 44; 74.32 (17.18) 0.21b (2, 87; 0.811)
Placebo 25; 77.00 (16.37) 33; 79.30 (12.91)
DAU 55; 76.24 (11.87) 63; 78.52 (13.09)

aPaired samples t-test comparing scores at T2 with those of T1 for the group as a whole; bANCOVA examining group difference in T2 scores with T1 scores included as covariate (except Numeracy).