准确度在不变检测与多层模型与三个估计器
W Holmes Finch1, Cihan Demir2, Brian F French2
1Ball State University, Muncie, IN, USA.
Applied psychological measurement
|March 31, 2025
概括
这项研究比较了在多层模型中检测差异项目功能 (DIF) 的估计技术. 一般化估计方程 (GEE) 显示了可比或高于最大概率估计 (MLE) 的强大DIF检测的功率.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 教育测量的教育测量.
背景情况:
- 使用多层模型检测差异物品功能 (DIF) 面临着模型融合和准确性方面的挑战.
- 现有的估计技术可能无法充分解决这些问题,从而影响DIF检测的可靠性.
研究的目的:
- 评估不同估计技术在解决DIF检测中的收性和准确性问题的有效性.
- 为了比较最大概率估计 (MLE),贝叶斯估计和通用估计方程 (GEE) 在多级逻辑回归模型中用于DIF检测的性能.
主要方法:
- 使用具有2级预测器的多层逻辑回归模型进行了模拟研究.
- 这项研究在各种条件下比较了MLE,贝叶斯估计和GEE.
- 评估了I型错误率和DIF检测的统计能力.
主要成果:
- 所有测试的估计方法都保持了对I型错误率的控制.
- 概括估计方程 (GEE) 显示DIF检测的功率与MLE相当或更高,而贝叶斯估计显示了最低功率.
- 包括1级和2级的重要共变量显著增加了所有方法的功率.
结论:
- 一般化估计方程 (GEE) 在许多多层建模环境中为DIF检测提供了MLE的可行替代方案.
- 在所有数据级别中纳入相关的上下文变量对于提高DIF检测方法的性能至关重要.
相关概念视频
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
257
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
257
One-Way ANOVA: Equal Sample Sizes
3.1K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
3.1K
Expected Frequencies in Goodness-of-Fit Tests
2.5K
A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n) to the number of categories (k).
2.5K
Friedman Two-way Analysis of Variance by Ranks
112
Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
112
One-Way ANOVA: Unequal Sample Sizes
5.6K
One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
5.6K
Accuracy and Errors in Hypothesis Testing
163
Hypothesis testing is a fundamental statistical tool that begins with the assumption that the null hypothesis H0 is true. During this process, two types of errors can occur: Type I and Type II. A Type I error refers to the incorrect rejection of a true null hypothesis, while a Type II error involves the failure to reject a false null hypothesis.
In hypothesis testing, the probability of making a Type I error, denoted as α, is commonly set at 0.05. This significance level indicates a 5%...
In hypothesis testing, the probability of making a Type I error, denoted as α, is commonly set at 0.05. This significance level indicates a 5%...
163


