Measurement invariance with respect to groups is an essential aspect of the fair use of scores of intelligence tests and other psychological measurements. It is widely believed that equal factor loadings are sufficient to establish measurement invariance in confirmatory factor analysis. Here, it is shown why establishing measurement invariance…

Discusses the effects of schooling on the development of intelligence in children and how the amount of schooling should be considered when developing norms for turning intelligence test performance into IQ scores. Suggests that because of differences in schooling among same-age children, use of age-based norms results in biased deviation IQS.…