This article briefly describes the research (Botta, 2021) that led to the construction and field administration of the first multilevel adaptive test (MST Test) in Italy and reports the results of a new research project that aimed at verifying ex-post the measurement properties of the constructed test. The test was designed for the estimation of students' abilities in mathematics in grade 10 and was administered to a sample of 4,132 students. In the paper, we analyze with two paired-samples t-tests the changes in the mean of the students' ability estimation and the changes in the relative standard error of the mean as they move from the first to the last level of the test. The results demonstrate the validity of the adaptive algorithm underlying the implementation of the test. The results obtained are also a further empirical verification that in an MST test the calculation of the true score is sufficiently accurate for the purpose of selecting the next testlet, as stated by Luecht and Nungester (1998).
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