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. 2019 Jun 4;14(6):e0204189. doi: 10.1371/journal.pone.0204189

Table 2. Effect estimates of temperament reactivity, approach, and persistence at ages 2 to 3 years on child outcomes at ages 6 to 7 years (n = 5107)a.

Model 1b, total effect Model 2b, conventional regression Model 3b, controlled direct effect
βc (95% CI) SD units βc (95% CI) SD units βc (95% CI) SD units
Reactivity
    PPVT -0.38 (-0.59, -0.17) -0.07 -0.36 (-0.56, -0.15) -0.07 -0.37 (-0.59, -0.14) -0.07
    Matrix reasoning -0.09 (-0.18, 0.01) -0.03 -0.09 (-0.19, 0.002) -0.03 -0.11 (-0.21, -0.01) -0.04
    ARS-Literacy -0.07 (-0.10, -0.04) -0.09 -0.07 (-0.10, -0.04) -0.09 -0.08 (-0.11, -0.05) -0.10
    ARS-Numeracy -0.06 (-0.09, -0.03) -0.08 -0.06 (-0.09, -0.03) -0.08 -0.07 (-0.10, -0.04) -0.09
Approach
    PPVT 0.46 (0.28, 0.65) 0.09 0.40 (0.21, 0.59) 0.08 0.45 (0.22, 0.67) 0.09
    Matrix reasoning 0.10 (0.01, 0.19) 0.03 0.08 (-0.01, 0.18) 0.03 0.11 (0.01, 0.21) 0.04
    ARS-Literacy 0.03 (-0.01, 0.06) 0.04 0.02 (-0.01, 0.06) 0.03 0.03 (-0.01, 0.07) 0.04
    ARS-Numeracy 0.02 (-0.02, 0.05) 0.03 0.01 (-0.03, 0.05) 0.01 0.01 (-0.02, 0.05) 0.01
Persistence
    PPVT 0.61 (0.38, 0.84) 0.12 0.55 (0.32, 0.79) 0.11 0.58 (0.27, 0.89) 0.11
    Matrix reasoning 0.16 (0.04, 0.29) 0.05 0.17 (0.05, 0.30) 0.06 0.19 (0.02, 0.34) 0.06
    ARS-Literacy 0.08 (0.04, 0.12) 0.10 0.08 (0.04, 0.12) 0.10 0.08 (0.03, 0.13) 0.10
    ARS-Numeracy 0.08 (0.04, 0.12) 0.10 0.09 (0.05, 0.13) 0.11 0.08 (0.03, 0.13) 0.10

a Abbreviations: CI, confidence interval; SD, standard deviation units; PPVT, Peabody Picture Vocabulary Test; ARS, Academic Rating Scale

b Model 1 is adjusted for confounders, C. Model 2 is the conventional regression model including X, M, and all confounders C and L. Model 3 is a marginal structural model including M and weighted for all confounders C and L.

c β are unstandardized coefficients