Structure learning: some testing problems

The work is based on data about the prevalence of congenital anomalies among newborns in Lithuania. The log-linear model is used to assess dependence structure of a subset of categorical variables. It is shown that fitting the log-linear model with just three categorical variables can be a rather c...

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Main Authors: Marijus Radavičius, Jurgita Židanavičiūtė
Format: Article
Language:English
Published: Vilnius University Press 2005-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/27388
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author Marijus Radavičius
Jurgita Židanavičiūtė
author_facet Marijus Radavičius
Jurgita Židanavičiūtė
author_sort Marijus Radavičius
collection DOAJ
description The work is based on data about the prevalence of congenital anomalies among newborns in Lithuania. The log-linear model is used to assess dependence structure of a subset of categorical variables. It is shown that fitting the log-linear model with just three categorical variables can be a rather complicated task due to large number of unknown parameters and cells in the contingency table. The classical chi-squre test and the bootstrap technique are compared for testing goodness-of-fit. The results demonstrate that the number of cells of even nonsparse contingency tables has significant impact on the tail distribution of the likelihood ratio statistics.
format Article
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institution Kabale University
issn 0132-2818
2335-898X
language English
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publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-155d772c4ad041859641e47f26b1e5c82025-01-20T18:15:49ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.27388Structure learning: some testing problemsMarijus Radavičius0Jurgita Židanavičiūtė1Institute of Mathematics and InformaticsVilnius Gediminas Technical University The work is based on data about the prevalence of congenital anomalies among newborns in Lithuania. The log-linear model is used to assess dependence structure of a subset of categorical variables. It is shown that fitting the log-linear model with just three categorical variables can be a rather complicated task due to large number of unknown parameters and cells in the contingency table. The classical chi-squre test and the bootstrap technique are compared for testing goodness-of-fit. The results demonstrate that the number of cells of even nonsparse contingency tables has significant impact on the tail distribution of the likelihood ratio statistics. https://www.journals.vu.lt/LMR/article/view/27388contingency tableslog-linear modelscategorical databootstrap
spellingShingle Marijus Radavičius
Jurgita Židanavičiūtė
Structure learning: some testing problems
Lietuvos Matematikos Rinkinys
contingency tables
log-linear models
categorical data
bootstrap
title Structure learning: some testing problems
title_full Structure learning: some testing problems
title_fullStr Structure learning: some testing problems
title_full_unstemmed Structure learning: some testing problems
title_short Structure learning: some testing problems
title_sort structure learning some testing problems
topic contingency tables
log-linear models
categorical data
bootstrap
url https://www.journals.vu.lt/LMR/article/view/27388
work_keys_str_mv AT marijusradavicius structurelearningsometestingproblems
AT jurgitazidanaviciute structurelearningsometestingproblems