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  • 1
    Electronic Resource
    Electronic Resource
    Sufficient statistics and latent trait models (1977)
    Springer
    Psychometrika 42 (1977), S. 69-81 
    Details
    ISSN: 1860-0980
    Keywords: logistic latent trait ; minimal sufficient statistic ; Rasch model ; equidistant scoring ; sufficiency
    Source: Springer Online Journal Archives 1860-2000
    Topics: Psychology
    Notes: Abstract For questionnaires with two answer categories, it has been proven in complete generality that if a minimal sufficient statistic exists for the individual parameter and if it is the same statistic for all values of the item parameters, then the raw score (or the number of correct answers) is the minimal sufficient statistic. It follows that the model must by of the Rasch type with logistic item characteristic curves and equal item-discriminating powers. This paper extends these results to multiple choice questionnaires. It is shown that the minimal sufficient statistic for the individual parameter is a function of the so-called score vector. It is also shown that the so-called equidistant scoring is the only scoring of a questionnaire that allows for a real valued sufficient statistic that is independent of the item parameters, if a certain ordering property for the sufficient statistic holds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02293746
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Comparing latent distributions (1980)
    Springer
    Psychometrika 45 (1980), S. 121-134 
    Details
    ISSN: 1860-0980
    Keywords: Latent distribution ; Rasch model ; population distribution ; longitudinal model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Psychology
    Notes: Abstract We consider the problem of comparingm latent population distributions when the observed values are scores on a test battery with binary items. The latent densities are assumed to be normal densities, and we consider a test for equality of the means as well as a test equality of the variances. In addition, we consider a longitudinal model, where the test battery has been applied to the same individuals at different points in time. This model allows for correlations between the latent variable at different time points, and methods are discussed for estimating the correlation coefficient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02293602
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Estimating latent correlations between repeated testings (1985)
    Springer
    Psychometrika 50 (1985), S. 3-16 
    Details
    ISSN: 1860-0980
    Keywords: Latent correlation ; longitudinal model ; Rasch model ; latent structure analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Psychology
    Notes: Abstract A model for longitudinal latent structure analysis is proposed. We assume that test scores for a given mental or attitudinal test are observed for the same individuals at two different points in time. The purpose of the analysis is to fit a model that combines the values of the latent variable at the two time points in a two-dimensional latent density. The correlation coefficient between the two values of the latent variable can then be estimated. The theory and methods are illustrated by a Danish dataset concerning psychic vulnerability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02294143
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    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Estimating the parameters of the latent population distribution (1977)
    Springer
    Psychometrika 42 (1977), S. 357-374 
    Details
    ISSN: 1860-0980
    Keywords: Rasch model ; latent variable ; population likelihood ; normal distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Psychology
    Notes: Abstract Under consideration is a test battery of binary items. The responses ofn individuals are assumed to follow a Rasch model. It is further assumed that the latent individual parameters are distributed within a given population in accordance with a normal distribution. Methods are then considered for estimating the mean and variance of this latent population distribution. Also considered are methods for checking whether a normal population distribution fits the data. The developed methods are applied to data from an achievement test and from an attitude test.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02293656
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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