贝叶斯结构方程模型的原理及应用

贝叶斯结构方程模型同时兼容了结构方程模型考虑测量误差以及贝叶斯估计方法可以整合先验信息的优点,在处理传统的结构方程模型针对交叉载荷参数、残差协方差元素严格限制为0等假设时具有一定的优势,且更易处理小样本和复杂模型的情况。但该方法在国内心理学领域的应用仍相对较少。本文主要介绍贝叶斯结构方程模型的原理、先验设置、模型收敛判断和模型评估等问题,并以具体示例展示如何在Mplus软件中使用该模型处理交叉载荷的问题,希望可以帮助更多研究者认识和了解贝叶斯结构方程模型,并使用该模型解决一些实际的研究问题。

Mechanical behaviors of cross roller bearings with raceway roundness error

Taking the raceway roundness error into account,mechanical characteristics of cross roller bearings(CRBs)were investigated.A static analysis model of CRBs considering the raceway roundness error was established.Based on this model,the rotational accuracy and load distribution of CRBs under constraints of geometry and external loads were derived.The fatigue life of CRBs with roundness error was calculated by applying Palmgren-Miner linear cumulative damage theory.The influence of inner and outer raceway roundness error on the performance of the CRBs,such as rotational accuracy,load distribution,and fatigue life,was studied through the analysis of examples.The results indicate that the influence of roundness error on the rotating inner raceway is more significant than that of roundness error on the nonrotating outer raceway.The roundness error on the rotating inner raceway always degrades the performance of CRBs.However,a proper roundness error on the nonrotating outer raceway can reduce the loads acting on the rollers and thus improve the fatigue life of CRBs.The effect of the roundness error amplitude on the bearing performance is ordinal,whereas the effect of the roundness order on the bearing performance is not in order.

贝叶斯结构方程模型在运动与锻炼心理学中的应用

目的:旨在介绍贝叶斯结构方程模型的特点及其使用方法。方法:首先讨论了贝叶斯结构方程模型的优势,然后以运动员训练状态检测量表(32×7)的测评数据,分别采用最大似然估计和贝叶斯估计进行二阶验证性因素分析。结果:纳入交叉载荷和残差相关等小方差先验信息的贝叶斯估计模型拟合良好,而采用最大似然估计的模型拟合不理想。分析造成上述差异的原因,并总结贝叶斯结构方程模型的优势和不足。