SINRELADD-LD

Implements an approach aimed at assessing the accuracy, fidelity, relative efficiency and added-value of subscale and total scale sum scores derived from measures that contain locally dependent items. The program is intended to be used with scores derived from correlated-factor solutions that are also compatible with a single second-order general-factor solution. As input, SINRELADD-LD uses the structural item estimates obtained from fitting a second-order factor-analytic solution in which the existing local dependencies are modeled. Measures of reliability (Omega), fidelity, and relative efficiency are provided: (a) on a subscale-by-subscale score basis (i.e. scores derived from the primary factor solution), and (b) for the total scale scores (i.e. scores derived from the second-order general factor solution). In addition, SINRELADD-LD provides added-value results in which the local dependencies have been taken into account. These results are useful for deciding which scoring schema: subscale or total score is more appropriate for the data under study. All the implemented procedures can be obtained from: (a) linear factor-analytic solutions in which the item scores are treated as approximately continuous, and (b) non-linear solutions in which the item scores are treated as ordered-categorical.

References

Ferrando, P. J., & Morales-Vives, F. (2023). Is it quality, is it redundancy, or is model inadequacy? Some strategies for judging the appropriateness of high-discrimination items. Annals of Psychology, 39(3), 517. doi: 10.6018/analesps.535781.
https://doi.org/10.6018/analesps.535781

Ferrando, P. J., Navarro-Gonzalez, D., Morales-Vives, F. (in press). Linear and Nonlinear Indices of Score Accuracy and Item Effectiveness for Measures that Contain Locally Dependent Items. Educational and Psychological Measurement.
https://doi.org/10.1177/00131644241257602

Ferrando, P. J., Navarro-Gonzalez, D., Morales-Vives, F. (sumitted). Assessing the properties and functioning of model-based sum scores in multidimensional measures with local item dependencies: A comprehensive proposal. Educational and Psychological Measurement.

Raykov, T. (2001). Estimation of congeneric scale reliability using covariance structure analysis with nonlinear constraints. British Journal of Mathematical and Statistical Psychology, 54(2), 315-323. doi: 10.1348/000711001159582.
https://doi.org/10.1348/000711001159582