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Marginal models for categorical data

- Wicher Bergsma, T. Rudas
- Mathematics
- 1 February 2002

Statistical models defined by imposing restrictions on marginal distributions of contingency tables have received considerable attention recently. This paper introduces a general definition of… Expand

A consistent test of independence based on a sign covariance related to Kendall's tau

- Wicher Bergsma, A. Dassios
- Mathematics
- 24 July 2010

The most popular ways to test for independence of two ordinal random variables are by means of Kendall's tau and Spearman's rho. However, such tests are not consistent, only having power for… Expand

Marginal models for dependent, clustered, and longitudinal categorical data

- Wicher Bergsma, M. Croon, J. Hagenaars
- Mathematics
- 2009

Loglinear Marginal Models.- Nonloglinear Marginal Models.- Marginal Analysis of Longitudinal Data.- Causal Analyses: Structural Equation Models and (Quasi-)Experimental Designs.- Marginal modeling… Expand

Nonparametric Testing of Conditional Independence by Means of the Partial Copula

- Wicher Bergsma
- Mathematics
- 4 November 2010

We propose a new method to test conditional independence of two real random variables $Y$ and $Z$ conditionally on an arbitrary third random variable $X$. The partial copula is introduced, defined as… Expand

Testing conditional independence for continuous random variables

- Wicher Bergsma
- Mathematics
- 2004

A common statistical problem is the testing of independence of two (response) variables conditionally on a third (control) variable. In the first part of this paper, we extend Hoeding’s concept of… Expand

Polytomous Latent Scales for the Investigation of the Ordering of Items

- R. Ligtvoet, L. A. Ark, Wicher Bergsma, K. Sijtsma
- Mathematics
- 27 January 2011

We propose three latent scales within the framework of nonparametric item response theory for polytomously scored items. Latent scales are models that imply an invariant item ordering, meaning that… Expand

A Kernel Test for Three-Variable Interactions

- D. Sejdinovic, A. Gretton, Wicher Bergsma
- Computer Science, Mathematics
- NIPS
- 10 June 2013

TLDR

Bayesian Posterior Estimation of Logit Parameters with Small Samples

- F. Galindo-Garré, J. Vermunt, Wicher Bergsma
- Mathematics
- 1 August 2004

When the sample size is small compared to the number of cells in a contingency table, maximum likelihood estimates of logit parameters and their associated standard errors may not exist or may be… Expand

Parameterizations and Fitting of Bi-directed Graph Models to Categorical Data

- M. Lupparelli, G. M. Marchetti, Wicher Bergsma
- Mathematics
- 9 January 2008

We discuss two parameterizations of models for marginal independencies for discrete distributions which are representable by bi-directed graph models, under the global Markov property. Such models… Expand

On applications of marginal models for categorical data

- T. Rudas, Wicher Bergsma
- Mathematics
- 2004

Summary - The paper considers marginal models for categorical data and after reviewing the most important theoretical results concerning the definition, estimation and testing of such models,… Expand

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