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Journal ArticleDOI

Estimating latent correlations between repeated testings

Erling B. Andersen
- 01 Mar 1985 - 
- Vol. 50, Iss: 1, pp 3-16
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TLDR
In this article, a model for longitudinal latent structure analysis is proposed, where test scores for a given mental or attitudinal test are observed for the same individuals at two different points in time.
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.

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Citations
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Journal ArticleDOI

The Multidimensional Random Coefficients Multinomial Logit Model

TL;DR: The multidimensional random coefficients multinomial logit model as mentioned in this paper is an extension to the Adams & Wilson (1996) random coefficients multiinomial lit model, which was developed in a form that permits generalization to a wide class of Rasch models.
Journal ArticleDOI

A multidimensional latent trait model for measuring learning and change.

TL;DR: In this paper, a latent trait model is presented for the repeated measurement of ability based on a multidimensional conceptualization of the change process, and an example provided that shows good recovery of both item and ability parameters.
Book ChapterDOI

31A Review of Cognitively Diagnostic Assessment and a Summary of Psychometric Models

TL;DR: This paper is divided into two main sections, providing a general organizing scheme for a diagnostic assessment implementation process, from design to scoring, and the specification of an appropriate psychometric model.
Journal ArticleDOI

Bootstrapping Goodness-of-Fit Measures in Categorical Data Analysis:

TL;DR: An algorithm is presented for estimating the distribution of a fit measure by drawing bootstrap samples from the model-expected proportions, the so-called nonnaive bootstrap method, from five different data sets, and results show that the asymptotic chi-square distribution is not at all valid for sparse data.
References
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Journal ArticleDOI

A goodness of fit test for the Rasch model.

Erling B. Andersen
- 01 Mar 1973 - 
TL;DR: The Rasch model as discussed by the authors is an item analysis model with logistic item characteristic curves of equal slope, i.e. with constant item discriminating powers, and the proposed goodness of fit test is based on a comparison between difficulties estimated from different scoregroups and over-all estimates.
Journal ArticleDOI

Analysis of Survival Data under the Proportional Hazards Model

TL;DR: In this paper, a general methodology for the statistical analysis of survival or response time data such as accrue from the long-term follow-up of patients with chronic disease is presented, based on the assumption that prognostic or treatment factors under investigation have multiplicative effects on the hazard (instantaneous death rate) function of an underlying survival distribution.
Book

Discrete statistical models with social science applications

TL;DR: The main subjects of the present book are based on three developments: (1) the theory of exponential families, (2) log-linear models, and (3) logistic models in psychometrics as mentioned in this paper.