Markov models of dependence in longitudinal paired comparisons: an application to course design

Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison d...
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Autor*in:	Grand, Alexandra [verfasserIn] Dittrich, Regina [verfasserIn] Francis, Brian [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Schlagwörter:	Bradley–Terry model Log-linear model Longitudinal paired comparison data Markov chain Temporal change of preference parameters Missing data

Übergeordnetes Werk:	Enthalten in: Allgemeines statistisches Archiv - Berlin : Springer, 1891, 99(2014), 2 vom: 21. Okt., Seite 237-257
Übergeordnetes Werk:	volume:99 ; year:2014 ; number:2 ; day:21 ; month:10 ; pages:237-257

Links:	Volltext

DOI / URN:	10.1007/s10182-014-0239-z

Katalog-ID:	SPR009031626

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allfields	10.1007/s10182-014-0239-z doi (DE-627)SPR009031626 (SPR)s10182-014-0239-z-e DE-627 ger DE-627 rakwb eng 510 ASE 31.73 bkl 83.03 bkl Grand, Alexandra verfasserin aut Markov models of dependence in longitudinal paired comparisons: an application to course design 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points. Bradley–Terry model (dpeaa)DE-He213 Log-linear model (dpeaa)DE-He213 Longitudinal paired comparison data (dpeaa)DE-He213 Markov chain (dpeaa)DE-He213 Temporal change of preference parameters (dpeaa)DE-He213 Missing data (dpeaa)DE-He213 Dittrich, Regina verfasserin aut Francis, Brian verfasserin aut Enthalten in Allgemeines statistisches Archiv Berlin : Springer, 1891 99(2014), 2 vom: 21. Okt., Seite 237-257 (DE-627)320627594 (DE-600)2023511-2 1614-0176 nnns volume:99 year:2014 number:2 day:21 month:10 pages:237-257 https://dx.doi.org/10.1007/s10182-014-0239-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 31.73 ASE 83.03 ASE AR 99 2014 2 21 10 237-257
spelling	10.1007/s10182-014-0239-z doi (DE-627)SPR009031626 (SPR)s10182-014-0239-z-e DE-627 ger DE-627 rakwb eng 510 ASE 31.73 bkl 83.03 bkl Grand, Alexandra verfasserin aut Markov models of dependence in longitudinal paired comparisons: an application to course design 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points. Bradley–Terry model (dpeaa)DE-He213 Log-linear model (dpeaa)DE-He213 Longitudinal paired comparison data (dpeaa)DE-He213 Markov chain (dpeaa)DE-He213 Temporal change of preference parameters (dpeaa)DE-He213 Missing data (dpeaa)DE-He213 Dittrich, Regina verfasserin aut Francis, Brian verfasserin aut Enthalten in Allgemeines statistisches Archiv Berlin : Springer, 1891 99(2014), 2 vom: 21. Okt., Seite 237-257 (DE-627)320627594 (DE-600)2023511-2 1614-0176 nnns volume:99 year:2014 number:2 day:21 month:10 pages:237-257 https://dx.doi.org/10.1007/s10182-014-0239-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 31.73 ASE 83.03 ASE AR 99 2014 2 21 10 237-257
allfields_unstemmed	10.1007/s10182-014-0239-z doi (DE-627)SPR009031626 (SPR)s10182-014-0239-z-e DE-627 ger DE-627 rakwb eng 510 ASE 31.73 bkl 83.03 bkl Grand, Alexandra verfasserin aut Markov models of dependence in longitudinal paired comparisons: an application to course design 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points. Bradley–Terry model (dpeaa)DE-He213 Log-linear model (dpeaa)DE-He213 Longitudinal paired comparison data (dpeaa)DE-He213 Markov chain (dpeaa)DE-He213 Temporal change of preference parameters (dpeaa)DE-He213 Missing data (dpeaa)DE-He213 Dittrich, Regina verfasserin aut Francis, Brian verfasserin aut Enthalten in Allgemeines statistisches Archiv Berlin : Springer, 1891 99(2014), 2 vom: 21. Okt., Seite 237-257 (DE-627)320627594 (DE-600)2023511-2 1614-0176 nnns volume:99 year:2014 number:2 day:21 month:10 pages:237-257 https://dx.doi.org/10.1007/s10182-014-0239-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 31.73 ASE 83.03 ASE AR 99 2014 2 21 10 237-257
allfieldsGer	10.1007/s10182-014-0239-z doi (DE-627)SPR009031626 (SPR)s10182-014-0239-z-e DE-627 ger DE-627 rakwb eng 510 ASE 31.73 bkl 83.03 bkl Grand, Alexandra verfasserin aut Markov models of dependence in longitudinal paired comparisons: an application to course design 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points. Bradley–Terry model (dpeaa)DE-He213 Log-linear model (dpeaa)DE-He213 Longitudinal paired comparison data (dpeaa)DE-He213 Markov chain (dpeaa)DE-He213 Temporal change of preference parameters (dpeaa)DE-He213 Missing data (dpeaa)DE-He213 Dittrich, Regina verfasserin aut Francis, Brian verfasserin aut Enthalten in Allgemeines statistisches Archiv Berlin : Springer, 1891 99(2014), 2 vom: 21. Okt., Seite 237-257 (DE-627)320627594 (DE-600)2023511-2 1614-0176 nnns volume:99 year:2014 number:2 day:21 month:10 pages:237-257 https://dx.doi.org/10.1007/s10182-014-0239-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 31.73 ASE 83.03 ASE AR 99 2014 2 21 10 237-257
allfieldsSound	10.1007/s10182-014-0239-z doi (DE-627)SPR009031626 (SPR)s10182-014-0239-z-e DE-627 ger DE-627 rakwb eng 510 ASE 31.73 bkl 83.03 bkl Grand, Alexandra verfasserin aut Markov models of dependence in longitudinal paired comparisons: an application to course design 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points. Bradley–Terry model (dpeaa)DE-He213 Log-linear model (dpeaa)DE-He213 Longitudinal paired comparison data (dpeaa)DE-He213 Markov chain (dpeaa)DE-He213 Temporal change of preference parameters (dpeaa)DE-He213 Missing data (dpeaa)DE-He213 Dittrich, Regina verfasserin aut Francis, Brian verfasserin aut Enthalten in Allgemeines statistisches Archiv Berlin : Springer, 1891 99(2014), 2 vom: 21. Okt., Seite 237-257 (DE-627)320627594 (DE-600)2023511-2 1614-0176 nnns volume:99 year:2014 number:2 day:21 month:10 pages:237-257 https://dx.doi.org/10.1007/s10182-014-0239-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 31.73 ASE 83.03 ASE AR 99 2014 2 21 10 237-257
language	English
source	Enthalten in Allgemeines statistisches Archiv 99(2014), 2 vom: 21. Okt., Seite 237-257 volume:99 year:2014 number:2 day:21 month:10 pages:237-257
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author	Grand, Alexandra
spellingShingle	Grand, Alexandra ddc 510 bkl 31.73 bkl 83.03 misc Bradley–Terry model misc Log-linear model misc Longitudinal paired comparison data misc Markov chain misc Temporal change of preference parameters misc Missing data Markov models of dependence in longitudinal paired comparisons: an application to course design
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topic_title	510 ASE 31.73 bkl 83.03 bkl Markov models of dependence in longitudinal paired comparisons: an application to course design Bradley–Terry model (dpeaa)DE-He213 Log-linear model (dpeaa)DE-He213 Longitudinal paired comparison data (dpeaa)DE-He213 Markov chain (dpeaa)DE-He213 Temporal change of preference parameters (dpeaa)DE-He213 Missing data (dpeaa)DE-He213
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title	Markov models of dependence in longitudinal paired comparisons: an application to course design
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title_full	Markov models of dependence in longitudinal paired comparisons: an application to course design
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title_sort	markov models of dependence in longitudinal paired comparisons: an application to course design
title_auth	Markov models of dependence in longitudinal paired comparisons: an application to course design
abstract	Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points.
abstractGer	Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points.
abstract_unstemmed	Abstract This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points.
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title_short	Markov models of dependence in longitudinal paired comparisons: an application to course design
url	https://dx.doi.org/10.1007/s10182-014-0239-z
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up_date	2024-07-04T00:23:30.871Z
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