Correction: Vispoel et al. Extending Applications of Generalizability Theory-Based Bifactor Model Designs. Psych 2023, 5 , 545–575

In the original publication [...]

the benefits of altered GT-bifactor designs not only in gauging possible improvements in subscale score generalizability and dependability but also in isolating specific conditions that would support added value for any given subscale.
Section 5.3 (Paragraph 3) Scale viability and added value.Results for scale viability and added value for the restricted designs in Table 11 again show that general factor effects exceed group factor effects for all scales and that ECV/EUV ratios are lowest for aesthetic sensitivity and highest for intellectual curiosity.Added value is supported (lower confidence interval limits exceed 1.000) for aesthetic sensitivity and creative imagination in all designs shown and for intellectual curiosity in all designs except within the persons × items design with 4 items per subscale.Overall, these results demonstrate that subscale added value depends both on the construct being measured and the specific source(s) of measurement error being modeled.
Section 6.3 (Paragraph 1) As a result, the denominator of D coefficients takes both relative inter-person and mean differences in item and occasion scores into account when representing overall dependability of scores and levels of agreement in score location when making decisions based on individual cut scores.
Section 6.4 (Paragraph 1) Given the sizable contribution of the group factor effects to universe score variance for aesthetic sensitivity and the negligible contribution for intellectual curiosity, aesthetic sensitivity scores satisfied the criterion for added value with confidence interval lower limits exceeding 1.000 in the baseline and subsequent expanded facet condition designs, but intellectual curiosity did so only when tripling numbers of items and pooling results over 2 or 3 occasions.
Section 7 (Paragraph 1) Scale viability and added-value indices best supported reporting of aesthetic sensitivity and creative imagination subscales in addition to composite scores.

Error in Table and Legend
There were mistakes in Tables 1-4, 9 and 11 as published.Table 1, the table caption was missing the word "estimating".Some equations were incorrectly notated, and hat symbols for estimated parameters were missing.Tables 2-4, some equations were incorrectly notated.Tables 9 and 11, the mistake in Equation ( 19) required some corrections to these indices, and the explanation in the table footer was incomplete.The corrected Tables 1-4, 9 and 11 appear below.

Composite Subscale
pio,e(j) σ2 pio,e(j) = σ2 pio,e(j) (ni(j)−1)×(no−1) Note. n j : number of subscales, n I : number of items in the composite scale, n o : number of occasions, n i(j) : number of items in the j th subscale.
, where U = universe score.
Note.Item-level variance components for composites and subscales from Table 1 are used within these formulas.
Primes appear over ns in the equations to signify that they can be changed in decision studies.Formula , where U = universe score.
Note.Item-level variance components for composites and subscales from Table 1 are used within these formulas.
Primes appear over ns in the equations to signify that they can be changed in decision studies.
, where U = universe score.
Note.Item-level variance components for composites and subscales from Table 1 are used within these formulas.
Primes appear over ns in the equations to signify that they can be changed in decision studies.Note.i(s) = items per subscale, o = occasion(s), CI = 95% confidence interval limits, ECV = explained common variance, EUV = explained unique variance, PRMSE(c) = proportional reduction in mean squared error for composite score, PRMSE(s) = proportional reduction in mean squared error for subscale score, and VAR = value-added ratio.Values for ECV, EUV, and ECV/EUV are the same across designs because loadings for general and group factors remain constant within the prophecy formulas and the number of items is the same across subscales.

Table 1 .
Formulas for estimating item-level variance components for composite and subscale scores.

Table 2 .
Prophecy formulas for key GT-based indices within persons × items × occasions designs.

Table 3 .
Prophecy formulas for key GT-based indices within restricted persons × items designs.

Table 4 .
Prophecy formulas for key GT-based indices within restricted persons × occasions designs.

Table 9 .
Scale viability and added-value indices for BFI-2 open-mindedness composite and subscale scores for persons × items × occasions full designs.