EXPLORATORY LATENT STRUCTURE-ANALYSIS USING BOTH IDENTIFIABLE AND UNIDENTIFIABLE MODELS
EXPLORATORY LATENT STRUCTURE-ANALYSIS USING BOTH IDENTIFIABLE AND UNIDENTIFIABLE MODELS
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DOI：
10.1093/biomet/61.2.215
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发表时间：
1974-01-01
期刊：
影响因子：
2.7
通讯作者：
GOODMAN, LA
中科院分区：
文献类型：
--
作者：
GOODMAN, LA
本文研究了一类广泛的潜在结构模型。这些模型可以作为一组不明显的多变量之间观察到的关系的可能解释。这里考虑的模型类别既包括参数可识别的模型，也包括参数不可识别的模型。对于这里考虑的每个模型，提出了一种相对简单的方法来计算模型下期望的它们的方式列联表中频率的最大似然估计，并确定估计模型中的参数是否可识别。此外，还提出了检验模型是否与观测数据拟合的方法，以及用拟合的可识别模型替换拟合的不可识别模型的方法。还包括对数据的一些说明性应用。
This paper considers a wide class of latent structure models. These models can serve as possible explanations of the observed relationships among a set ofmmanifest polytomous variables. The class of models considered here includes both models in which the parameters are identifiable and also models in which the parameters are not. For each of the models considered here, a relatively simple method is presented for calculating the maximum likelihood estimate of the frequencies in them-way contingency table expected under the model, and for determining whether the parameters in the estimated model are identifiable. In addition, methods are presented for testing whether the model fits the observed data, and for replacing unidentifiable models that fit by identifiable models that fit. Some illustrative applications to data are also included.