PMID- 32879536 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20210702 IS - 1552-3497 (Electronic) IS - 0146-6216 (Print) IS - 0146-6216 (Linking) VI - 44 IP - 5 DP - 2020 Jul TI - Robustness of Projective IRT to Misspecification of the Underlying Multidimensional Model. PG - 362-375 LID - 10.1177/0146621620909894 [doi] AB - As a method to derive a "purified" measure along a dimension of interest from response data that are potentially multidimensional in nature, the projective item response theory (PIRT) approach requires first fitting a multidimensional item response theory (MIRT) model to the data before projecting onto a dimension of interest. This study aims to explore how accurate the PIRT results are when the estimated MIRT model is misspecified. Specifically, we focus on using a (potentially misspecified) two-dimensional (2D)-MIRT for projection because of its advantages, including interpretability, identifiability, and computational stability, over higher dimensional models. Two large simulation studies (I and II) were conducted. Both studies examined whether the fitting of a 2D-MIRT is sufficient to recover the PIRT parameters when multiple nuisance dimensions exist in the test items, which were generated, respectively, under compensatory MIRT and bifactor models. Various factors were manipulated, including sample size, test length, latent factor correlation, and number of nuisance dimensions. The results from simulation studies I and II showed that the PIRT was overall robust to a misspecified 2D-MIRT. Smaller third and fourth simulation studies were done to evaluate recovery of the PIRT model parameters when the correctly specified higher dimensional MIRT or bifactor model was fitted with the response data. In addition, a real data set was used to illustrate the robustness of PIRT. CI - (c) The Author(s) 2020. FAU - Strachan, Tyler AU - Strachan T AUID- ORCID: 0000-0002-3319-6332 AD - The University of North Carolina at Greensboro, USA. FAU - Ip, Edward AU - Ip E AD - Wake Forest School of Medicine, Winston-Salem, NC, USA. FAU - Fu, Yanyan AU - Fu Y AD - Graduate Management Admission Council, Reston, VA, USA. FAU - Ackerman, Terry AU - Ackerman T AD - The University of Iowa, Iowa City, USA. FAU - Chen, Shyh-Huei AU - Chen SH AD - Wake Forest School of Medicine, Winston-Salem, NC, USA. FAU - Willse, John AU - Willse J AD - The University of North Carolina at Greensboro, USA. LA - eng GR - P30 CA012197/CA/NCI NIH HHS/United States PT - Journal Article DEP - 20200310 PL - United States TA - Appl Psychol Meas JT - Applied psychological measurement JID - 7905715 PMC - PMC7433385 OTO - NOTNLM OT - misspecification OT - multidimensional item response theory OT - projective item response theory OT - robustness COIS- Declaration of Conflicting Interests: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article. EDAT- 2020/09/04 06:00 MHDA- 2020/09/04 06:01 PMCR- 2021/07/01 CRDT- 2020/09/04 06:00 PHST- 2020/09/04 06:00 [entrez] PHST- 2020/09/04 06:00 [pubmed] PHST- 2020/09/04 06:01 [medline] PHST- 2021/07/01 00:00 [pmc-release] AID - 10.1177_0146621620909894 [pii] AID - 10.1177/0146621620909894 [doi] PST - ppublish SO - Appl Psychol Meas. 2020 Jul;44(5):362-375. doi: 10.1177/0146621620909894. Epub 2020 Mar 10.