Closed Formula of Test Length Required for Adaptive Testing with Medium Probability of Solution

Autor/inn/en	Kárász, Judit T.; Széll, Krisztián; Takács, Szabolcs
Titel	Closed Formula of Test Length Required for Adaptive Testing with Medium Probability of Solution
Quelle	In: Quality Assurance in Education: An International Perspective, 31 (2023) 4, S.637-651 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0968-4883
DOI	10.1108/QAE-03-2023-0042
Schlagwörter	Test Length; Probability; Comparative Analysis; Difficulty Level; Test Items; Adaptive Testing; Mathematical Formulas; Test Format; Guidelines; Student Evaluation; Correlation; Simulation; Computer Assisted Testing; Sample Size + Suchen Sie Ihr Suchwort? Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Schwierigkeitsgrad; Test content; Testaufgabe; Mathematische Formel; Testentwicklung; Richtlinien; Schulnote; Studentische Bewertung; Korrelation; Simulation program; Simulationsprogramm
Abstract	Purpose: Based on the general formula, which depends on the length and difficulty of the test, the number of respondents and the number of ability levels, this study aims to provide a closed formula for the adaptive tests with medium difficulty (probability of solution is p = 1/2) to determine the accuracy of the parameters for each item and in the case of calibrated items, determine the required test length given number of respondents. Design/methodology/approach: Empirical results have been obtained on computerized or multistage adaptive implementation. Simulation studies and classroom/experimental results show that adaptive tests can measure test subjects' ability to the same quality over half the test length compared to linear versions. Due to the complexity of the problem, the authors discuss a closed mathematical formula: the relationship between the length of the tests, the difficulty of solving the items, the number of respondents and the levels of ability. Findings: The authors present a closed formula that provides a lower bound for the minimum test length in the case of adaptive tests. The authors also present example calculations using the formula, based on the assessment framework of some student assessments to show the similarity between the theoretical calculations and the empirical results. Originality/value: With this formula, we can form a connection between theoretical and simulation results. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01