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. Author manuscript; available in PMC: 2023 Oct 1.
Published in final edited form as: Dev Psychol. 2022 Jun 30;58(10):1962–1973. doi: 10.1037/dev0001396

Table 2.

Estimates and Model Fit of Digit Span Functional Form in the Full PSID-CDS Sample

PSID-CDS, Forward Digit Span PSID-CDS, Backward Digit Span

Functional Form Model 1 Model 2 Model 3 Model 4 Model 1 Model 2 Model 3 Model 4

Linear b 0.355 1.214 2.121 0.405 1.166 1.701
SE 0.009 0.048 0.168 0.008 0.036 0.115
Lower CI 0.337 1.119 1.792 0.390 1.096 1.475
Upper CI 0.373 1.309 2.451 0.420 1.237 1.927
p-value <.001 <.001 <.001 <.001 <.001 <.001
AIC 512736363 473110830
BIC 512736391 473110858
Quadratic b −0.038 −0.128 −0.034 −0.087
SE 0.002 0.016 0.002 0.012
Lower CI −0.043 −0.159 −0.037 −0.110
Upper CI −0.034 −0.097 −0.031 −0.064
p-value <.001 <.001 <.001 <.001
AIC 503916653 463232157
BIC 503916689 463232196
Cubic b 0.003 0.002
SE 0.000 0.000
Lower CI 0.002 0.001
Upper CI 0.004 0.002
p-value <.001 <.001
AIC 503165648 462856581
BIC 503165692 462856628
Logarithmic b 3.738 4.154
SE 0.087 0.064
Lower CI 3.567 4.028
Upper CI 3.908 4.280
p-value <.001 <.001
AIC 505770650 464665537
BIC 505770679 464665565

Note: Missing data were handled using multiple imputation, and baseline cross-sectional sampling weights were used. PSID-CDS child age range: 3–19 years. Bolded values indicate best fitting models.