TY - JOUR A1 - Schweizer, Karl A1 - Gold, Andreas A1 - Krampen, Dorothea T1 - Effect of dichotomization on the latent structure of data T2 - Frontiers in applied mathematics and statistics N2 - We investigated whether dichotomous data showed the same latent structure as the interval-level data from which they originated. Given constancy of dimensionality and factor loadings reflecting the latent structure of data, the focus was on the variance of the latent variable of a confirmatory factor model. This variance was shown to summarize the information provided by the factor loadings. The results of a simulation study did not reveal exact correspondence of the variances of the latent variables derived from interval-level and dichotomous data but shrinkage. Since shrinkage occurred systematically, methods for recovering the original variance were fleshed out and evaluated. KW - dichotomous data KW - interval-level data KW - dichotomization KW - confirmatory factor analysis KW - shrinkage correction KW - latent structure Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63391 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-633915 SN - 2297-4687 VL - 7 IS - art. 723258 SP - 1 EP - 9 PB - Frontiers Media CY - Lausanne ER -