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Table 5 Simulation statistics of the analyses of the indirect effects in the mediation tests, testing mediation effects of EF on the intervention effects on TEC (TEC-by-EF), Language (Language-by-EF), Math (Math-by-EF), the mediation effect of Language on the intervention effect on EF (EF-by-Language), and the mediation effect of Math on the intervention effect of EF (EF-by-Math)

From: A protocol for a three-arm cluster randomized controlled superiority trial investigating the effects of two pedagogical methodologies in Swedish preschool settings on language and communication, executive functions, auditive selective attention, socioemotional skills and early maths skills

Statistics TEC-by-EF Language-by-EF Math-by-EF EF-by-Language EF-by-Math
DIL SEMLA DIL SEMLA DIL SEMLA DIL SEMLA DIL SEMLA
Mean Beta 0.54 0.20 0.51 0.31 0.08 0.05 0.37 0.68 0.36 −0.59
Beta.lower 0.24 0.04 0.24 0.06 0.03 0.01 0.20 0.48 0.22 −0.90
Beta.upper 0.88 0.41 0.76 0.55 0.12 0.09 0.55 0.89 0.51 −0.31
boot.p .000 .008 .000 .008 .000 .008 .000 .000 .000 .000
mean.p .004 .064 .003 .052 .003 .052 .004 .000 .001 .001
p.upper .000 .000 .000 .000 .000 .000 .000 .000 .000 .000
p.lower .025 .533 .020 .525 .022 .525 .032 .000 .007 .001
Power 0.51 0.75 0.97 0.81 0.99 0.81 0.97 0.82 0.99 0.82
adjusted.p mean .006 .082 .005 .067 .005 .067 .006 .000 .002 .001
adjusted.p.upper .000 .000 .000 .000 .000 .000 .000 .000 .000 .000
adjusted.p.lower .048 .620 .042 .620 .042 .620 .056 .000 .014 .003
adjusted.power 0.51 0.67 0.96 0.77 0.97 0.77 0.96 0.82 0.99 0.81