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Mplus建模框架
建模数据的目的是以简单的方式描述数据结构,便于理解和解释。本质上,数据建模相当于变量之间的一组关系。下图表示了在Mplus建模中的关系类型。矩形表示观测变量,观测变量可以是结果变量或背景变量。背景变量为X,连续和截尾结果变量为y,二元、有序范畴(序数),无序分类(名词)和计数结果变量为u。圆圈代表潜变量。允许连续变量和类别变量,连续潜变量为f,分类潜变量为c。
![mplus软件安装](//l.b2b168.com/2021/04/30/15/202104301515035157724.jpg)
Mplus has several options for the estimation of models with missing data. Mplus provides maximum likelihood estimation under MCAR (missing completely at random), MAR (missing at random), and NMAR (not missing at random) for continuous, censored, binary, ordered categorical (ordinal), unordered categorical (nominal), counts, or combinations of these variable types (Little & Rubin, 2002). MAR means that missingness can be a function of observed covariates and observed outcomes. For censored and categorical outcomes using weighted least squares estimation, missingness is allowed to be a function of the observed covariates but not the observed outcomes. When there are no covariates in the model, this is analogous to pairwise present analysis. Non-ignorable missing data (NMAR) modeling is possible using maximum likelihood estimation where categorical outcomes are indicators of missingness and where missingness can be predicted by continuous and categorical latent variables (Muthén, Jo, & Brown, 2003; Muthén et al., 2010 ).
![mplus软件安装](//l.b2b168.com/2021/04/30/15/202104301515333488344.jpg)
Mplus provides both Bayesian and frequentist inference. Bayesian analysis uses Markov chain Monte Carlo (MCMC) algorithms. Posterior distributions can be monitored by trace and autocorrelation plots. Convergence can be monitored by the Gelman-Rubin potential scaling reduction using parallel computing in multiple MCMC chains. Posterior predictive checks are provided.
![mplus软件安装](//l.b2b168.com/2021/04/30/15/202104301515331086224.jpg)
New Mplus paper: A better way to do LTA - Latent transition analysis with random intercepts (RI-LTA). Revised version under review. Scripts are available on our RI-LTA page.
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