What is one purpose of the standard error of measurement?

The standard error of measurement serves a critical role in understanding the relationship between observed scores and true scores. Specifically, it quantifies the extent to which an observed score can deviate from the true score due to measurement error. This statistical measure helps in establishing a range wherein the true score is likely to fall given the observed score, thereby providing insight into the accuracy of the assessment.

When considering the purpose of the standard error of measurement, it's essential to recognize its foundation in the concept of reliability in testing. By indicating potential variability, the standard error of measurement helps assess how consistently a test measures what it is intended to measure, ultimately allowing evaluators to appreciate the precision of the observed scores.