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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Markov models of dependence in longitudinal paired comparisons: an application to course design. / Grand, Alexandra; Dittrich, Regina; Francis, Brian.
In: AStA Advances in Statistical Analysis, Vol. 99, No. 2, 04.2015, p. 237-257.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Grand, A, Dittrich, R & Francis, B 2015, 'Markov models of dependence in longitudinal paired comparisons: an application to course design', AStA Advances in Statistical Analysis, vol. 99, no. 2, pp. 237-257. https://doi.org/10.1007/s10182-014-0239-z

APA

Grand, A., Dittrich, R., & Francis, B. (2015). Markov models of dependence in longitudinal paired comparisons: an application to course design. AStA Advances in Statistical Analysis, 99(2), 237-257. https://doi.org/10.1007/s10182-014-0239-z

Vancouver

Grand A, Dittrich R, Francis B. Markov models of dependence in longitudinal paired comparisons: an application to course design. AStA Advances in Statistical Analysis. 2015 Apr;99(2):237-257. Epub 2014 Oct 21. doi: 10.1007/s10182-014-0239-z

Author

Grand, Alexandra ; Dittrich, Regina ; Francis, Brian. / Markov models of dependence in longitudinal paired comparisons : an application to course design. In: AStA Advances in Statistical Analysis. 2015 ; Vol. 99, No. 2. pp. 237-257.

Bibtex

@article{acd84ce30b764690bccd67a47f5f37d0,
title = "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 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.",
keywords = "Bradley–Terry model, log-linear model, Longitudinal paired, Markov model, Missing data",
author = "Alexandra Grand and Regina Dittrich and Brian Francis",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/s10182-014-0239-z",
year = "2015",
month = apr,
doi = "10.1007/s10182-014-0239-z",
language = "English",
volume = "99",
pages = "237--257",
journal = "AStA Advances in Statistical Analysis",
issn = "1863-8171",
publisher = "Springer",
number = "2",

}

RIS

TY - JOUR

T1 - Markov models of dependence in longitudinal paired comparisons

T2 - an application to course design

AU - Grand, Alexandra

AU - Dittrich, Regina

AU - Francis, Brian

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s10182-014-0239-z

PY - 2015/4

Y1 - 2015/4

N2 - 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.

AB - 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.

KW - Bradley–Terry model

KW - log-linear model

KW - Longitudinal paired

KW - Markov model

KW - Missing data

U2 - 10.1007/s10182-014-0239-z

DO - 10.1007/s10182-014-0239-z

M3 - Journal article

VL - 99

SP - 237

EP - 257

JO - AStA Advances in Statistical Analysis

JF - AStA Advances in Statistical Analysis

SN - 1863-8171

IS - 2

ER -