This paper is a review of the Computerized Adaptive Testing Process. Unlike conventional tests, these assessments propose a test adapted to every examinee’s needs and capabilities, which results in a better experience for those assessed and a more accurate score. Adaptive assessments are based on item response theory, which defines the guidelines and conditions for such tests to be carried out. From this theory, different models that allow the repositioning of different traits of the examinees and their relationship with the probability to succeed in a given item, arise. To complete the assessment process, an adaptive test should consist of a set of items, a method which allows the selection of these and a termination criterion. All the aforementioned components articulate the test and help to properly materialize it.