which one has either complete data or data with some missing values, assuming these are missing at random. In order to investigate local independence, latent scores for a particular item set (say, item scores for NEO-PI-R) were estimated and compared based on different calibrations: one based on the calibration of several inventories combined (e.g., NEO-PI-R and EPQ-R Neuroticism) and one based on only one inventory (NEO-PI-R items). The resulting scores were then correlated. A correlation of 1 indicates that the estimated scores are completely independent of what inventory was used for assessment (see also Supplementary Materials Online).