Exploratory latent structure analysis using both identifiable and unidentifiable models

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ID: 291950
1974
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Abstract
This paper considers a wide class of latent structure models. These models can serve as possible explanations of the observed relationships among a set of m manifest 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 the m-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.
Reference Key
openalex_W2115881827 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Leo A. Goodman
Journal jurnal biometrika dan kependudukan
Year 1974
DOI
10.1093/biomet/61.2.215
URL
https://doi.org/10.1093/biomet/61.2.215
Keywords Keywords not found

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