In the field of social sciences and economics,management,and market research,it is sometimes necessary to deal with multiple causes,relationships of multiple outcomes,or to encounter variables that are not directly observable(ie,latent variables).These are traditional statistical methods solved problem.Since the 1980s,structural equation analysis has developed rapidly,which makes up the deficiency of traditional statistical methods and becomes an important tool for multivariate statistical analysis.Almost all of the variables involved in mental,educational,and social studies(such as intelligence,motivation,and socioeconomic status)are difficult to measure directly(latent variable),we had to second,with some explicit indicators(observable indicators)To indirectly measure these latent variables.The structural equation model can deal with latent variables and their indexes simultaneously.SEM provides a method to measure the measurement error.It uses multiple indicators to reflect the latent variables,and also estimates the relationship between the whole model factor,which is more accurate and reasonable than the traditional regression method.The structural equation model can be used to compare different models(goodness of fit).Structural Equation Modeling(SEM)is a statistical methodology based on statistical analysis techniques to deal with the exploration and analysis of complex multivariate data.Unlike traditional regression analysis,structural equation analysis can handle multiple dependent variables simultaneously.At the same time,the regression analysis assumes that the independent variables are deterministic and nonrandom,ie,the independent variables have no measurement error,whereas the SEM does not have such strict assumptions.If each factor can be directly measured(the factor itself is an indicator),then the structural equation model is the regression analysis.Simultaneous processing of multiple dependent variables.SEM allows the independent variables and dependent variables with measurement error,can simultaneously estimate the factor structure and factor relationship,allowing greater elasticity of the measurement model.Therefore,this paper selects different latent variables to construct the new structural equation model,and illustrates the application of structural equation model and Bayesian method in pedagogy with the example of student achievement in a university in Laos.Analyzes the variables and path coefficient and other indicators for the development of higher education in Laos to provide reference and recommendations.The main work of this paper is as follows:(1)The evolution of the structural equation model and its application fields are described.(2)The concept of structural equation model is discussed,and its theory and principle are introduced.(3)The theory of Bayesian method is summarized,and compared with other statistical methods,it points out its advantages and characteristics.Selecting different latent variables to construct a new structural equation model,using Lao University student achievement example to illustrate the application of structural equation model and Bayesian method in pedagogy.Analyzes the variables and path coefficient and other indicators for the development of higher education in Laos to provide reference and recommendations.Summarize the shortcomings of the application of the model in pedagogy,and put forward the corresponding improvement suggestions. |