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Continuous norming of psychometric tests: A simulation study of parametric and semi-parametric approaches

机译:心理测验的连续规范:参数和半参数方法的模拟研究

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摘要

Continuous norming methods have seldom been subjected to scientific review. In this simulation study, we compared parametric with semi-parametric continuous norming methods in psychometric tests by constructing a fictitious population model within which a latent ability increases with age across seven age groups. We drew samples of different sizes (n = 50, 75, 100, 150, 250, 500 and 1,000 per age group) and simulated the results of an easy, medium, and difficult test scale based on Item Response Theory (IRT). We subjected the resulting data to different continuous norming methods and compared the data fit under the different test conditions with a representative cross-validation dataset of n = 10,000 per age group. The most significant differences were found in suboptimal (i.e., too easy or too difficult) test scales and in ability levels that were far from the population mean. We discuss the results with regard to the selection of the appropriate modeling techniques in psychometric test construction, the required sample sizes, and the requirement to report appropriate quantitative and qualitative test quality criteria for continuous norming methods in test manuals.
机译:连续规范方法很少受到科学审查。在此模拟研究中,我们通过构建虚拟人口模型将心理能力测试中的参数与半参数连续规范方法进行了比较,该模型中七个年龄组的潜在能力都随着年龄的增长而增加。我们抽取了不同大小的样本(每个年龄组分别为n = 50、75、100、150、250、500和1,000),并根据项目响应理论(IRT)模拟了简单,中等和困难的测试量表的结果。我们对所得数据进行了不同的连续归一化方法处理,并将数据在不同测试条件下的拟合度与每个年龄组的n = 10,000的代表性交叉验证数据集进行了比较。发现最显着的差异是在次优(即太容易或太难)测试量表和与总体平均值相差甚远的能力水平上。我们讨论有关在心理测验测试构建中选择适当的建模技术,所需样本量以及在测试手册中报告连续定额方法的适当定量和定性测试质量标准的要求的结果。

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