使用混合尺度变量进行路径分析:分类ML,最小平方和贝叶斯估计
Xinya Liang1, Paula Castro1, Chunhua Cao2
1University of Arkansas, Fayetteville, USA.
Educational and psychological measurement
|October 31, 2025
概括
对于预测二进制结果的混合尺度路径分析,加权最小方程 (WLSMV) 和具有弱信息先验的贝叶斯方法 (Bayes-WI) 提供了最准确的估计器,特别是在较小的样本中.
科学领域:
- 统计 统计 统计 统计
- 社会和行为科学 社会和行为科学
- 医学 医学 医学 医学 医学
- 教育教育教育教育教育教育.
背景情况:
- 路径模型通常集成连续和顺序变量来预测应用研究中的二元结果.
- 选择合适的统计估计器对于这些复杂模型的可靠结果至关重要.
研究的目的:
- 评估六种不同的统计估计器的性能,用于预测二进制结果的混合规模数据的路径模型.
- 为选择最准确和最稳定的估计器提供实际指导.
主要方法:
- 蒙特卡洛模拟用于比较六种估计器:强大的最大概率 (MLR-probit,MLR-logit),加权和未加权最小平方 (WLSMV,ULSMV) 和贝叶斯方法 (Bayes-NI,Bayes-WI).
- 模拟的样本大小,可变尺度和效果大小各不相同.
主要成果:
- 具有平均值和差异调整 (WLSMV) 的加权最小方程和具有信息性较弱的先验 (Bayes-WI) 的贝叶斯方法始终表现出低偏差和根平均平方误差 (RMSE).
- 这些首选估计器在小样本中表现特别好,或者当预测变量只有很少的类别时.
- 分类强大的最大概率 (MLR) 估计器显示,适度效应大小的结果不稳定.
结论:
- 由于其稳定性和准确性,建议WLSMV和贝叶斯-WI用于预测二进制结果的混合规模路径分析.
- 估计器的选择显著影响了应用研究发现的可靠性,在各种学科的应用研究.
- 这项研究为寻求在复杂的统计建模中进行强有力的推理的研究人员提供了关键的见解.
相关概念视频
Mechanistic Models: Compartment Models in Individual and Population Analysis
221
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
221
Friedman Two-way Analysis of Variance by Ranks
465
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...
465
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
253
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
253
Regression Analysis
7.7K
Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
7.7K
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
218
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
218
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
1.1K
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...
1.1K


