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Examining Parameter Estimation when Treating Semi-Mixed Multidimensional Constructs as Unidimensional

机译:将半混合多维结构视为单向时的参数估计

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摘要

In this study, parameter estimation error was examined when three dimensional tests of a semi-mixed structure were estimated unidimensionally. Since previous studies have generally focused on two-dimensional mixed structured tests or three-dimensional approximately simple structured tests, this study adds to the literature by considering the impact of fitting a unidimensional model to multidimensional data using a test structure that has not previously been considered. Test structure, interdimensional correlation, difficulty of the test, and different underlying distributions of ability were considered. Test length was set at 30 items for all conditions. Although test length was fixed, the number of approximately simple and complex items varied. Under all conditions for both moderately difficult and difficult tests, the lowest error values for all discrimination parameters, with the exception of MDISC, were obtained, surprisingly, with a correlation of 0.00. The lowest RMSE values for the difficulty parameter were obtained for tests of medium difficulty when the underlying ability distribution was simulated as standard normal for all three dimensions. The estimation errors associated with the difficulty parameter were greatly impacted by differences in the underlying ability distributions. Ability estimation errors associated with the unidimensional estimate of ability decreased as the correlation between dimensions, increased.
机译:在该研究中,当估计半混合结构的三维测试时,检查参数估计误差。由于之前的研究通常集中在二维混合结构化测试或三维近似简单的结构测试中,本研究通过考虑使用先前未考虑的测试结构将单维模型与多维数据的影响进行拟合到多维数据的影响来增加文献。测试结构,互补相关,测试难度以及考虑不同的潜在能力分布。所有条件的测试长度设定为30个项目。虽然测试长度是固定的,但近似简单和复杂的物品的数量变化。在适度困难和困难测试的所有条件下,令人惊讶地获得了MDISC的所有辨别参数的最低误差值,其相关性为0.00。当潜在的能力分布被模拟为所有三维的标准正常时,获得难度参数的最低RMSE值。与难度参数相关的估计误差受到底层能力分布的差异的大大影响。随着尺寸之间的相关性,与能力的单向估计相关的能力估计误差增加。

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