This study proposed a recursion-based analytical approach to assess measurement precision of ability estimation and classification accuracy in multistage adaptive tests (MSTs). A simulation study was conducted to compare the proposed recursion-based analytical method with an analytical method proposed by Park, Kim, Chung, and Dodd and with the more commonly used Monte Carlo (MC) simulation approaches. The results from the simulation study indicate that the recursion-based analytical method produced more stable measurement properties in MST than the MC-based simulation method. It also produced more credible measurement performance than the analytical approach of Park, Kim, Chung, and Dodd. We expect that the recursion-based analytical method would be especially efficient in instances when multiple MST designs need to be compared to determine which one has better measurement performance.

中文翻译：

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一种基于递归的分析方法来评估 MST 的性能

本研究提出了一种基于递归的分析方法来评估多阶段自适应测试 (MST) 中能力估计和分类精度的测量精度。进行了一项模拟研究，将所提出的基于递归的分析方法与 Park、Kim、Chung 和 Dodd 提出的分析方法以及更常用的 Monte Carlo (MC) 模拟方法进行比较。模拟研究的结果表明，与基于 MC 的模拟方法相比，基于递归的分析方法在 MST 中产生了更稳定的测量特性。它还产生了比 Park、Kim、Chung 和 Dodd 的分析方法更可靠的测量性能。