This article shows that the recently proposed latent D-scoring model of Dimitrov is statistically equivalent to the two-parameter logistic item response model. An analytical derivation and a numerical illustration are employed for demonstrating this finding. Hence, estimation techniques for the two-parameter logistic model can be used for estimating the latent D-scoring model. In an empirical example using PISA data, differences of country ranks are investigated when using different metrics for the latent trait. In the example, the choice of the latent trait metric matters for the ranking of countries. Finally, it is argued that an item response model with bounded latent trait values like the latent D-scoring model might have advantages for reporting results in terms of interpretation.

中文翻译：

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关于潜在 D 评分模型和双参数 Logistic 项目响应模型的等价性

这篇文章表明，最近提出的 Dimitrov 的潜在 D 评分模型在统计上等效于双参数逻辑项目响应模型。分析推导和数值说明被用来证明这一发现。因此，二参数逻辑模型的估计技术可用于估计潜在 D 评分模型。在使用 PISA 数据的实证示例中，当对潜在特征使用不同的度量时，研究了国家排名的差异。在这个例子中，潜在特征度量的选择对国家的排名很重要。最后，有人认为具有有限潜在特征值的项目响应模型（如潜在 D 评分模型）可能在解释方面具有报告结果的优势。