Latent scale linear models for multivariate ordinal responses and analysis by the method of weighted least squares (Q1822868)

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scientific article; zbMATH DE number 4113771
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Latent scale linear models for multivariate ordinal responses and analysis by the method of weighted least squares
scientific article; zbMATH DE number 4113771

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    Latent scale linear models for multivariate ordinal responses and analysis by the method of weighted least squares (English)
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    1987
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    A multivariate latent scale linear model is defined for multivariate ordered categorical responses. A procedure of parameter estimation based on a weighted least squares method is developed. Asymptotic properties are examined, and assessing validity of the model and testing linear hypotheses are discussed. Several applications are illustrated, and an analysis of real data is given.
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    multivariate latent scale linear model
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    multivariate ordered categorical responses
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    weighted least squares method
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    Asymptotic properties
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    validity
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    testing linear hypotheses
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