Latent Variable Models of Dichotomous Data

This issue of Sociological Methods & Research contains four excellent illustrations of current methods for analyzing dichotomous data: dichotomous factor analysis (Muthén, 1989), latent trait analysis (Eaton et al., 1989), and grade of membership analysis (Woodbury and Manton, 1989). These methods are now sufficiently developed for use by researchers, though a lack of available software for the grade of membership model renders that method mostly theoretical. Of these methods the factor analysis model succeds in carrying out the tasks set by the editors with the fewest problems. Researchers would do well, however, to look over all the methods to find the best approach for their particular problem

Data mining · Data science · Data set · Econometrics · Latent variable · Machine learning · Set (abstract data type · Statistics · Advanced Statistical Modeling Techniques · Artificial Intelligence · Computer Science · Mathematics

• Naturally Occurring Mentoring in Japan and the United States

  Open Access•Nancy Darling, Stephen Hamilton et al.•American Journal of Community…•2002

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• Homeless Youths' Descriptions of their Parents' Child-Rearing Practices

  Open Access•Michele D Kipke, Raymond F Palmer et al.•Youth & Society•1997

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• Is there a menopausal syndrome? Menopausal status and symptoms across racial/ethnic groups

  Open Access•Nancy E Avis, Rebecca Stellato et al.•Social Science & Medicine•2001

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• Sociological Methodology 1978

  Karl F Schuessler•Sociological Methodology 1978•1977

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• Structural Equation Models in the Social Sciences

  Arthur S & Otis Duncan Goldberger•Structural Equation Models in the…•1973

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• A General Structural Equation Model with Dichotomous, Ordered Categorical, and Continuous Latent Variable Indicators

  Open Access•Bengt Muthén•Psychometrika•1984

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• Consistent Estimates Based on Partially Consistent Observations

  Jerzy Neyman, Elizabeth L Scott•Econometrica•1948

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• On Structural Equation Modeling with Data that are not Missing Completely at Random

  Open Access•Bengt Muthén, D M Kaplan et al.•Psychometrika•1987

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• Contributions to Factor Analysis of Dichotomous Variables

  Open Access•Bengt Muthén•Psychometrika•1978

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• Robust Estimation of a Location Parameter

  Open Access•Peter J Huber•The Annals of Mathematical…•1964

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• A General Approach to Confirmatory Maximum Likelihood Factor Analysis

  Open Access•Karl G Jöreskog•Psychometrika•1969

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• Marginal Maximum Likelihood Estimation of Item Parameters

  Open Access•R Darrell Bock, Murray Aitkin•Psychometrika•1981

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• On the Relationship between iTem Response Theory and Factor Analysis of Discretized Variables

  Open Access•YOSHIO TAKANE, Jan De Leeuw•Psychometrika•1987

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• Latent Trait and Latent Class Models

  Open Access•Rolf Langeheine, Jürgen Rost•Latent Trait and Latent Class…•1988

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• Pattern Clustering by Multivariate Mixture Analysis

  J H Wolfe•Multivariate Behavioral Research•1970

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• The Analysis of Systems of Qualitative Variables When Some of the Variables Are Unobservable. Part I-A Modified Latent Structure Approach

  Leo A Goodman•American Journal of Sociology•1974

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• New Light on the 16-Fold Table

  Otis Dudley Duncan•American Journal of Sociology•1985

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