About: Nonlinear Trend Modeling in the Analysis of Categorical Data

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://msed.vse.cz/files/2012/Kalina_2012.pdf
Description	This paper studies various approaches to testing trend in the context of categorical data. While the linear trend is far more popular in econometric applications, a nonlinear modeling of the trend allows a more subtle information extraction from real data, especially if the linearity of the trend cannot be expected and verified by hypothesis testing. We exploit the exact unconditional approach to propose alternative versions of some trend tests. One of them is the test of relaxed trend (Liu, 1998), who proposed a generalization of the classical Cochran- Armitage test of linear trend. A numerical example on real data reveals the advantages of the test of relaxed trend compared to the classical test of linear trend. Further, we propose an exact unconditional test also for modeling association between an ordinal response and nominal regressor. Further, we propose a robust estimator of parameters in the logistic regression model, which is based on implicit weighting of individual observations. We assess the breakdown point of the newly proposed robust estimator. This paper studies various approaches to testing trend in the context of categorical data. While the linear trend is far more popular in econometric applications, a nonlinear modeling of the trend allows a more subtle information extraction from real data, especially if the linearity of the trend cannot be expected and verified by hypothesis testing. We exploit the exact unconditional approach to propose alternative versions of some trend tests. One of them is the test of relaxed trend (Liu, 1998), who proposed a generalization of the classical Cochran- Armitage test of linear trend. A numerical example on real data reveals the advantages of the test of relaxed trend compared to the classical test of linear trend. Further, we propose an exact unconditional test also for modeling association between an ordinal response and nominal regressor. Further, we propose a robust estimator of parameters in the logistic regression model, which is based on implicit weighting of individual observations. We assess the breakdown point of the newly proposed robust estimator. (en)
Title	Nonlinear Trend Modeling in the Analysis of Categorical Data Nonlinear Trend Modeling in the Analysis of Categorical Data (en)
skos:prefLabel	Nonlinear Trend Modeling in the Analysis of Categorical Data Nonlinear Trend Modeling in the Analysis of Categorical Data (en)
skos:notation	RIV/67985807:_____/12:00389627!RIV13-AV0-67985807
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Kalina, Jan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	154406
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/12:00389627
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	contingency tables; exact unconditional test; log-linear model; logistic regression; robust estimation (en)
http://linked.open.../riv/klicoveSlovo	robust estimation contingency tables logistic regression exact unconditional test log-linear model
http://linked.open...ontrolniKodProRIV	[65C1D7D56CD6]
http://linked.open...v/mistoKonaniAkce	Prague
http://linked.open...i/riv/mistoVydani	Slaný
http://linked.open...i/riv/nazevZdroje	International Days of Statistics and Economics
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Kalina, Jan
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000320722500048
http://linked.open.../riv/zahajeniAkce	2012-09-13 (xsd:date)
number of pages	11 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Melandrium
https://schema.org/isbn	978-80-86175-86-7

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